A tribute to D.B. Spalding and his contributions in science and engineering

International Journal of Heat and Mass Transfer

Volumn 52, Issue 17-18, 2009, Pages 3884-3905

  Artemov, V ^a   Beale, S B ^b   de Vahl Davis, G ^c   Escudier, M P ^d   Fueyo, N ^e   Launder, B E ^f   Leonardi, E ^c   Malin, M R ^g   Minkowycz, W J ^h   Patankar, S V ⁱ   Pollard, A ^j   Rodi, W ^k   Runchal, A ^l   Vanka, S P ^m  

^a MOSCOW POWER ENGINEERING INSTITUTE   (Russian Federation)

^b NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^c UNIVERSITY OF NEW SOUTH WALES   (Australia)

^d UNIVERSITY OF LIVERPOOL   (United Kingdom)

^e UNIVERSITY OF ZARAGOZA   (Spain)

^f UNIVERSITY OF MANCHESTER   (United Kingdom)

^g Bakery House   (United Kingdom)

^h 1120 Science and Engineering Offices   (United States)

ⁱ University of Minnesota   (United States)

^j QUEEN S UNIVERSITY   (Canada)

^k UNIVERSITY OF KARLSRUHE   (Germany)

^l Analytic and Computational Research Inc   (United States)

^m UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

more..

Author keywords

Combustion; D.B. Spalding; Fluid dynamics; Heat transfer; Mass transfer

Indexed keywords

D.B. SPALDING; HEAT TRANSFER APPLICATIONS; IMPERIAL COLLEGE; SCIENCE AND ENGINEERING; SIMPLE ALGORITHM; TURBULENCE MODELLING; UNIFIED THEORY;

COMBUSTION; COMPUTATIONAL FLUID DYNAMICS; FLUID DYNAMICS; FLUIDS; HEAT EXCHANGERS; HEAT TRANSFER; INDUSTRIAL APPLICATIONS; MASS TRANSFER; MULTIPHASE FLOW; THERMOCHEMISTRY;

SMOKE;

EID: 67049116133     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2009.03.038     Document Type: Article

References (242)

1. D.B. Spalding, The Combustion of Liquid Fuels, Ph.D. thesis, Cambridge University, 1951.
2. von Kármán T. Über Laminare Und Turbulente Reibung. Z. Agnew. Math. Mech. 1921 1 (1921) 233-252
3. Kruzhilin G.N. Issledovanie Teplovogo Pogranichnogo Sloia. Zh. Tekh. Fiz. 2 (1936) 183
4. Eckert E.R.G., and Lieblein V. Berechnung Des Stoffüberganges an Einer Ebenen, Längs Angeströmten Oberfläche Bei Großem Teildruckgefälle. Forschung auf dem Gebiete des Ingenieurwesens 16 2 (1949) 33-42
5. Zeldovich Y.B., and Frank-Kamenetskii V.A. Teoriia Teplovogo Rasprostraneniia Plameni. Zh. Khim. Fiz. (J. Phys. Chem. (USSR)) 12 1 (1938) 100-105
6. Y.B. Zeldovich, Selected Works of Yakov Borisovich Zeldovich (A. Granik, E. Jackson, Trans.), Princeton University Press, 1992-1993.
7. Semenov N.N. Teplovaia Teoriia Goreniia I Vzryvov: Iii. Teoriia Normalnogo Rasprostraneniia Plameni. Usp. Fiz. Nauk (Progress Phys. Sci. (USSR)) 24 4 (1940) 433-486
8. Spalding D.B. Some Fundamentals of Combustion (1955), Butterworth, London
9. Spalding D.B. Convective Mass Transfer; an Introduction (1963), Edward, Arnold, London
10. Spalding D.B. A standard formulation of the steady convective mass transfer problem. Int. J. Heat Mass Transfer 1 (1960) 192-207
11. Kays W.M., Crawford M.E., and Weigand B. Convective Heat and Mass Transfer. fourth ed. (2005), McGraw-Hill, New York
12. Mills A.F. Mass Transfer (2001), Prentice Hall, Upper Saddle River, NJ
13. Spalding D.B. A single formula for the law of the wall. ASME J. Appl. Math. 28 3 (1961) 455-458
14. D.B. Spalding, Heat transfer to a turbulent stream from a surface with a step-wise discontinuity in wall temperature, in: Proceedings of the International Developments in Heat Transfer, Part II, 1961, pp. 439-446.
15. Kestin J., and Persen L.N. Application of Schmidt's method to the calculation of Spalding's function and the skin-friction coefficient in turbulent flow. Int. J. Heat Mass Transfer 5 (1962) 143-152
16. Gardner G.O., and Kestin J. Calculation of the Spalding function over a range of Prandtl numbers. Int. J. Heat Mass Transfer 6 (1963) 289-299
17. Smith A.G., and Shah V.L. The calculation of wall and fluid temperatures for the incompressible turbulent boundary layer, with arbitrary distribution of wall heat flux. Int. J. Heat Mass Transfer 5 (1962) 1170-1189
18. Spalding D.B. Contribution to the theory of heat transfer across a turbulent boundary layer. Int. J. Heat Mass Transfer 7 (1964) 743-761
19. Jayatillake C.L.V. The influence of Prandtl number and surface roughness on the resistance of the laminar sub-layer to momentum and heat transfer. Prog. Heat Mass Transfer 1 (1969) 193-329
20. S.S. Kutateladze, A.I. Leontev, Turbulent Boundary Layers in Compressible Gases (D.B. Spalding, Trans.), Arnold Press, London, 1964.
21. D.B. Spalding, A Unified Theory of Friction, Heat Transfer, and Mass Transfer in the Turbulent Boundary Layer and Wall Jet, ARC No. 25 925, Her Majesty's Stationery Office, London, 1964.
22. D.B. Spalding, A Unified Theory of Friction, Heat Transfer and Mass Transfer in the Turbulent Boundary Layer and Wall Jet ARC CP No. 829, Her Majesty's Stationery Office, London, 1965.
23. Ricou F.P., and Spalding D.B. Measurements of entrainment by axisymmetrical turbulent jets. J. Fluid Mech. 11 1 (1961) 21-32
24. Coles D. The law of the wake in the turbulent boundary layer. J. Fluid Mech. 1 (1956) 191-226
25. M.R. Head, Entrainment in the Turbulent Boundary Layer, ARC R&M No. 3152, Her Majesty's Stationery Office, London, 1960.
26. D.B. Spalding, The Kinetic-Energy Deficit Equation of the Turbulent Boundary Layer, AGARDograph No. 97, Part 1, 1965, pp. 191-244.
27. Escudier M.P., and Nicoll W.B. The entrainment function in turbulent-boundary-layer and wall-jet calculations. J. Fluid Mech. 25 2 (1966) 337-366
28. H. Fellouah, A. Pollard, Reynolds number effects within the development region of a turbulent round free jet, Int. J. Heat Mass Transfer, in press, doi:10.1016/j.ijheatmasstransfer.2009.03.029.
29. J. Rotta, Uber die Theorie der Turbulenten Grenzschichten Ström. Forsch. Nr. 1. Transl As: On the Theory of the Turbulent Boundary Layer, NACA TM 1344, 1953, 1950.
30. Truckenbrodt E. Ein Qudraturverfahren Zur Berechnung der Laminaren Und Turbulenten Reibungschicht Bei Ebener Und Rotationssymmetrischer Strömung. Ing. Arch. 20 (1952) 211
31. Morton B.R., Taylor G.I., and Turner J.S. Turbulent gravitational convection from maintained and instantaneous sources. Proc. R. Soc. Lond. A 234 (1956) 1-23
32. S.V. Patankar, D.B. Spalding, A calculation procedure for heat transfer by forced convection through two-dimensional uniform-property turbulent boundary layers on smooth impermeable walls, in: Proceedings of the 3rd International Heat Transfer Conference, Chicago, vol. II, 1966, pp. 50-63.
33. A. Thom, An Investigation of Fluid Flow in Two Dimensions, ARC R&M No. 1194, Her Majesty's Stationery Office, 1928.
34. Burggraf O.R. Analytical and numerical studies of steady separated flows. J. Fluid Mech. 24 (1966) 113-151
35. Courant R., Isaacson E., and Rees M. On the solution of non-linear hyperbolic differential equations by finite-differences. Commun. Pure Appl. Math. 5 (1952) 243-255
36. A.K. Runchal, Three finite difference methods for Navier-Stokes equations, in: Proceedings of the 2nd Applied Mechanics Conference, University of Strathclyde, Glasgow, 1967.
37. A.K. Runchal, D.B. Spalding, M. Wolfshtein, The Numerical Solution of the Elliptic Equations for the Transport of Vorticity, Heat and Matter in Two Dimensional Flows, SF/TN/2, Imperial College, Mech. Eng. Dept., 1967.
38. A.K. Runchal, M. Wolfshtein, A Finite-Difference Procedure for the Integration of the Navier-Stokes Equations, SF/TN/1, Imperial College, Mech. Eng. Dept., 1966.
39. A.K. Runchal, M. Wolfshtein, A Fortran IV Computer Program for the Solution of Steady-State, Two-Dimensional Equations of Motion, Energy and Concentrations, SF/TN/10, Imperial College, Mech. Eng. Dept., 1967.
40. Gosman A.D., Pun W.M., Runchal A.K., Spalding D.B., and Wolfshtein M. Heat and Mass Transfer in Recirculating Flows (1969), Academic Press
41. Mallinson G.D., and de Vahl Davis G. Three-Dimensional Natural Convection in a Box - A Numerical Study. J. Fluid Mech. 83 1 (1977) 1-31
42. Patankar S.V., and Spalding D.B. A finite-difference procedure for solving the equations of the two-dimensional boundary layer. Int. J. Heat Mass Transfer 10 (1967) 1389-1412
43. Runchal A.K., Spalding D.B., and Wolfshtein M. Numerical solution of the elliptic equations for transport of vorticity, heat, and matter in two-dimensional flow. Phys. Fluids 12 (1969) 21-28
44. Patankar S.V., and Spalding D.B. Heat and Mass Transfer in Boundary Layers (1967), Morgan-Grampian, London
45. Patankar S.V., and Spalding D.B. Heat and Mass Transfer in Boundary Layers: A General Calculation Procedure. second ed. (1970), Intertext Books, London
46. F.C. Lockwood, D.B. Spalding, Prediction of Turbulent Reacting Duct Flow with Significant Radiation, Report No. CCK/TN/A/6, Mech. Eng. Dept., Imperial College, London, 1971.
47. Spalding D.B. Convergence and accuracy of three finite difference schemes for a two dimensional conduction and convection problem. Int. J. Numer. Methods Eng. 4 (1972) 540-550
48. Runchal A.K. Convergence and accuracy of three finite difference schemes for a two dimensional conduction and convection problem. Int. J. Numer. Methods Eng. 4 4 (1972) 541-550
49. Leonard B.P. A stable and accurate convective modeling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Eng. 19 1 (1979) 59-98
50. Spalding D.B. GENMIX: A General Computer Program for Two-Dimensional Parabolic Phenomena. 1st ed. (1977), Pergamon Press, Oxford, New York
51. Spalding D.B. PHOENICS a general-purpose computer program for multi-dimensional one- and two-phase flow. Math. Comput. Simul. XXIII (1981) 267-276
52. Caretto L.S., Curr R.M., and Spalding D.B. Two numerical methods for three-dimensional boundary layers. Comput. Methods Appl. Mech. Eng. 1 1 (1972) 39-57
53. Harlow F.H., and Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8 12 (1965) 2182-2189
54. Chorin A.J. The numerical solution of the Navier-Stokes equations for an incompressible fluid. Bull. Am. Math. Soc. 73 (1967) 928-931
55. Patankar S.V., and Spalding D.B. A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Int. J. Heat Mass Transfer 15 10 (1972) 1787-1806
56. Van Doormaal J.P., and Raithby J.P. Enhancements of the SIMPLE method for predicting incompressible fluid flows. Numer. Heat Transfer B Fundam. 7 2 (1984) 147-163
57. Patankar S.V. A calculation for two-dimensional elliptic problems. Numer. Heat Transfer 4 (1981) 409-426
58. D.B. Spalding, Mathematical Modelling of Fluid-Mechanics, Heat-Transfer and Chemical-Reaction Processes: A Lecture Course, HTS/80/1, Computational Fluid Dynamics Unit, Imperial College, University of London, London, 1980.
59. D.B. Spalding, IPSA 1981, New Developments and Computed Results, HTS/81/2, Imperial College, London, 1981.
60. Spalding D.B. Numerical computation of multi-phase flow and heat transfer. In: Taylor C. (Ed). Recent Advances in Numerical Methods in Fluids (1980), Pineridge Press 139-168
61. D.B. Spalding, The calculation of free-convection phenomena in gas-liquid mixtures, in: D.B. Spalding, N. Afgan (Eds.), Heat Transfer & Turbulent Buoyant Convection, vol. 2, Hemisphere, Washington, DC, 1977.
62. D.B. Spalding, A Method for Computing Steady and Unsteady Flows Possessing Discontinuities of Density, Report 910/2, CHAM Ltd., Wimbledon, London, 1974.
63. Lahey R.T., Lopez de Bertodano M., and Jones O.C. Phase distribution in complex geometry conduits. Nucl. Eng. Des. 141 (1993) 177-201
64. Malin M.R., and Spalding D.B. A two-fluid model of turbulence and its application to heated plane jets and wakes. Physicochem. Hydrodyn. 5 5-6 (1984) 339-361
65. Ilegbusi O.J., and Spalding D.B. A two-fluid model of turbulence and its application to near-wall flows. Physicochem. Hydrodyn. 9 1-2 (1987) 127-160
66. Ilegbusi O.J., and Spalding D.B. Application of a two-fluid model of turbulence to turbulent flow in conduits and free shear layers. Physicochem. Hydrodyn. 9 1-2 (1987) 161-181
67. Ilegbusi O.J., and Spalding D.B. Prediction of fluid flow and heat transfer characteristics of turbulent shear flows with a two-fluid model of turbulence. Int. J. Heat Mass Transfer 32 4 (1989) 767-774
68. D.B. Spalding, Towards a Two-Fluid Model of Turbulent Combustion in Gases with Special Reference to the Spark Ignition Engine, CFD/82/18, Computational Fluid Dynamics Unit, Imperial College, London, 1982.
69. Spalding D.B. The two-fluid model of turbulence applied to combustion phenomena. AIAA J. 24 6 (1986) 876-884
70. Spalding D.B. A turbulence model for buoyant and combusting flows. Int. J. Numer. Methods Eng. 24 1 (1987) 1-23
71. S.J. Kline, M.V. Morkovin, G. Sovran, D.J. Cockrell, Computation of turbulent boundary layers, in: AFOSR-IFP-Stanford Conference, 1968.
72. Spalding D.B. Heat transfer from turbulent separated flows. J. Fluid Mech. 27 (1967) 97-109
73. Prandtl L. Uber Ein Neues Formelsystem Für die Ausgebildete Turbulenz. Nachr. Akad. Wiss. Göttingen (1945) 6-19
74. Launder B.E., and Spalding D.B. The numerical computation of turbulent flows. Comput. Methods Appl. Mech. Eng. 3 2 (1974) 269-289
75. Kolmogorov A.N. Equations of turbulent motion of an incompressible fluid. Izv. Akad. Nauk. SSSR Ser. Phys. V 1-2 (1942) 56-58
76. J. Rotta, Statistische Theorie Nichthomogener Turbulenz I and II, Z. Phys. 129, 131 (1951) 547-572, 51-77 (Translated into English by W. Rodi as Imperial College, Mech. Eng. Dept. Technical Notes Nos. TWF/TN/38 and TWF/TN/39).
77. Spalding D.B. The calculation of the length scale of turbulence in some turbulent boundary layers remote from walls. In: Irvine T. (Ed). Progress in Heat & Mass Transfer (1967), Pergamon Press, Oxford 255-266
78. Rodi W., and Spalding D.B. A two-parameter model of turbulence, and its application to free jets. Wärme Stoffübertrag. 3 2 (1970) 85-95
79. Ng K.H., and Spalding D.B. Some applications of turbulence models for boundary layers near walls. Phys. Fluids 15 1 (1972) 20-30
80. D.B. Spalding, The Prediction of Two-Dimensional, Steady, Turbulent Elliptic Flows, Heat and Mass Transfer in Turbulent Flows with Separated Regions and Measurement Techniques, Paper Delivered at International Center for Heat and Mass Transfer Seminar, Herceg-Novi, Yugoslavia, Imperial College, Mech. Eng. Dept. Report No. EF/TN/A/16, London, 1969.
81. Spalding D.B. Concentration fluctuations in a round turbulent free jet. Chem. Eng. Sci. 26 1 (1971) 95-107
82. D.B. Spalding, The kW Model of Turbulence, Technical Note No. TM/TN/A16, Mech. Eng. Dept., Imperial College, London, 1971.
83. Spalding D.B. A two-equation model of turbulence, commemorative lecture for Prof. F. Bosnajakovic. VDI Forschungsheft 549 (1972) 5-16
84. Hanjalic K., and Launder B.E. A Reynolds-stress model of turbulence and its application to asymmetric shear flows. J. Fluid Mech. 52 (1972) 609-638
85. Jones W.P., and Launder B.E. The prediction of laminarization with a two-equation model of turbulence. Int. J. Heat Mass Transfer 15 (1972) 301-314
86. Wilcox D.C. Reassessment of the scale-determining equation for advanced turbulence models. AIAA J. 26 (1988) 1299-1310
87. Menter F.R. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J. 32 (1994) 1598-1605
88. B.E. Launder, A. Morse, W. Rodi, D.B. Spalding, The prediction of free shear flows - a comparison of the performance of six turbulence models, in: Proceedings of the NASA Conference on Free Shear Flows, Langley VA, 1972.
89. Malin M.R., and Spalding D.B. The prediction of turbulent jets and plumes by the use of the k-w model of turbulence. Physicochem. Hydrodyn. 5 2 (1984) 153-198
90. Ilegbusi O.J., and Spalding D.B. An improved version of the k-w model of turbulence. ASME J. Heat Transfer 107 1 (1985) 63-69
91. D.B. Spalding, The Vorticity-Fluctuations (kW) Model of Turbulence; Early Papers, Report CFD/82/17, Computational Fluid Dynamics Unit, Imperial College, London, 1982.
92. D.B. Spalding, The ESCIMO Theory of Turbulent Combustion, HTS/76/13, Department of Mechanical Engineering, Imperial College, London, 1976.
93. D.B. Spalding, Mixing and chemical reaction in steady confined turbulent flames, in: Proceedings of the 13th Symposium (International) on Combustion, Pittsburgh, PA, 1971, pp. 649-657.
94. D.B. Spalding, The spread of turbulent flames in confined ducts, in: Proceedings of the 11th Symposium (International) on Combustion, 1967, pp. 807-815.
95. Khalil E.E., Spalding D.B., and Whitelaw J.H. The calculation of local flow properties in two-dimensional furnaces. Int. J. Heat Mass Transfer 18 6 (1975) 775-791
96. Spalding D.B. Mathematical-models of turbulent flames. Combust. Sci. Technol. 13 1-6 (1976) 3-25
97. Spalding D.B. Some general-comments on papers concerned with theory of reactive turbulence. Combust. Sci. Technol. 13 1-6 (1976) 245-255
98. D.B. Spalding, Development of the eddy-breakup model of turbulent combustion, in: Proceedings of the 16th Symposium (International) on Combustion, Pittsburgh, PA, 1977, pp. 1657-1663.
99. D.B. Spalding, Computer Modelling Techniques for Laminar and Turbulent Combustion, HTS/77/12, Department of Mechanical Engineering, Imperial College, London, 1977.
100. Spalding D.B. A general theory of turbulent combustion. J. Energy 2 1 (1978) 16-23
101. D.B. Spalding, The influences of laminar transport and chemical kinetics on the time-mean reaction rate in a turbulent flame, in: Proceedings of the 17th Symposium (International) on Combustion, 1979, pp. 431-440.
102. Kerstein A.R. Linear-eddy modeling of turbulent transport. II: Application to shear layer mixing. Combust. Flame 75 (1989) 397-413
103. D.B. Spalding, Developments in the IPSA procedure for numerical computation of multiphase-flow phenomena with interphase slip, unequal temperatures, etc, in: T.M. Shih (Ed.), Proceedings of the 2nd International Conference on Numerical Properties and Methodologies in Heat Transfer, Maryland University, 1981, pp. 421-436.
104. B.F. Magnussen, On the structure of turbulence and a generalized eddy dissipation concept for chemical reaction in turbulent flow, in: 19th AIAA Aerospace Science Meeting, St. Louis, Missouri, 1981.
105. D.B. Spalding, Multi-fluid models of turbulence progress and prospects, in: Proceedings of the CFD96 4th Annual Conference of the CFD Society of Canada, Ottawa, 1996, pp. 27-56.
106. D.B. Spalding, Turbulent mixing and chemical reaction; the multi-fluid approach, in: International Symposium on the Physics of Heat Transfer in Boiling and Condensation, Moscow, 1997.
107. D.B. Spalding. Connexions between the multi-fluid and flamelet models of turbulent combustion, A lecture delivered at the University of Leeds, England. , 1998 (Accessed 3 March 2008).
108. Dopazo C. Probability density function approach for a turbulent axisymmetric heated jet centerline evolution. Phys. Fluids 22 1 (1979) 20-30
109. Pope S.B. Monte-Carlo method for the PDF equations of turbulent reactive flow. Combust. Sci. Technol. 25 (1981) 159-174
110. Spalding D.B., and Stephenson P.L. Laminar flame propagation in hydrogen and bromine mixtures. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 324 1558 (1971) 315-337
111. Spalding D.B. Predicting the performance of diesel engine combustion chambers. Proc. IMechE 184 (1969) 241-251
112. S.V. Patankar, D.B. Spalding, Mathematical models of fluid flow and heat transfer in furnaces, in: Proceedings of the 4th Symposium of Flames & Industry; Predictive Methods for Industrial Flames, 1972, pp. 1-5.
113. W.M. Pun, D.B. Spalding, A procedure for predicting the velocity and temperature distribution in a confined, steady, turbulent, gaseous diffusion flame, in: Proceedings of the International Astronautics Federation Meeting, Belgrade, 1967, pp. 3-21.
114. D.B. Spalding, Turbulent, Physically-Controlled Combustion Processes, Report RF/TN/A/4, Mech. Eng. Dept. Imperial College, University of London, London, 1971.
115. Lockwood F.C., and Naguib A.S. The prediction of the fluctuations in the properties of free, round-jet, turbulent, diffusion flames. Combust. Flame 24 (1975) 109-124
116. J.H. Kent, R.W. Bilger, The prediction of turbulent diffusion flame fields and nitric oxide formation, in: Proceedings of the 16th Symposium (International) on Combustion Pittsburgh, PA, 1976, pp. 1643-1656.
117. S.V. Patankar, D.B. Spalding, A computer model for three-dimensional flow in furnaces, in: Proceedings of the 14th International Symposium on Combustion, 1972, pp. 605-614.
118. S.V. Patankar, D.B. Spalding, Simultaneous predictions of flow pattern and radiation for three-dimensional flames, in: N. Afgan, J. Beer (Eds.), Heat Transfer in Flames, Hemisphere, Washington, 1974, pp. 73-94.
119. M.A. Serag-Eldin, The Numerical Prediction of the Flow and Combustion Processes in a Three-Dimensional Combustion Chamber, Ph.D. thesis, Imperial College, London, 1977.
120. V.S. Pratap, Flow and Heat Transfer in Curved Ducts, Ph.D. thesis, Imperial College, University of London, London, 1975.
121. Dean W.R. Note on the motion of fluid in a curved pipe. Phil. Mag. 14 (1927) 208-223
122. Dean W.R. Stream-line motion of a fluid in a curved pipe. Phil. Mag. 5 (1928) 673-695
123. Patankar S.V., Pratap V.S., and Spalding D.B. Prediction of laminar flow and heat transfer in helically coiled pipes. J. Fluid Mech. 62 (1974) 539-551
124. L.R. Austin, The Development of Viscous Flow within Helical Coils, Ph.D. thesis, University of Utah, 1971.
125. Mori Y., and Nakayama W. Study on forced convective heat transfer in curved pipes (1st report, laminar region). Int. J. Heat Mass Transfer 8 (1965) 67-82
126. Dravid A.N., Smith K.A., Merrill E.W., and Brian P.L.T. Effect of secondary fluid motion on laminar flows and heat transfer in helically coiled tubes. AIChE J. 17 (1971) 1017-1122
127. Patankar S.V., Pratap V.S., and Spalding D.B. Prediction of turbulent flow in curved pipes. J. Fluid Mech. 67 (1975) 583-595
128. Pratap V.S., and Spalding D.B. Fluid flow and heat transfer in three-dimensional duct flows. Int. J. Heat Mass Transfer 19 10 (1976) 1183-1188
129. Pratap V.S., and Spalding D.B. Numerical computations of flow in curved ducts. Aeronaut. Q. XXVI (1975) 219-228
130. Majumdar A.K., Pratap V.S., and Spalding D.B. Numerical computation of flow in rotating ducts. ASME J. Fluids Eng. 99 (1977) 148153
131. A.K. Majumdar, D.B. Spalding, A numerical investigation of three-dimensional flows in a rotating duct by a partially-parabolic procedure, in: Proceedings of the ASME Paper No. 77-WA/FE-7, 1977.
132. Pollard A., and Spalding D.B. The Prediction of the three-dimensional turbulent flow field in a flow splitting tee-junction. Comput. Math. Appl. Mech. Eng. 13 (1978) 293-306
133. Majumdar A.K., Morris W.D., Skiadaressis D., and Spalding D.B. Heat transfer in rotating ducts. Mech. Eng. Bull. (Durgapur) 8 4 (1978) 87-95
134. Majumdar A.K., and Spalding D.B. Numerical investigation of flow in rotating radial diffusers. Mech. Eng. Bull. (Durgapur) 8 1-2 (1977) 19-28
135. P. Bradshaw. Complex turbulent flows, in: W.T. Koiter (Eds.), Proceedings of the 14th Iutam Congress, Theoretical and Applied Mechanics, North Holland, Delft, 1976, pp. 103-113.
136. Abdelmeguid A.M., and Spalding D.B. Turbulent flow and heat transfer in pipes with buoyancy effects. J. Fluid Mech. 94 2 (1979) 383-400
137. L.S. Caretto, A.D. Gosman, S.V. Patankar, D.B. Spalding, Two Calculation procedures for steady, three-dimensional flows with recirculation, in: Proceedings of the 3rd International Conference on Numerical Methods in Fluid Mechanics, vol. 2, 1973, pp. 60-68.
138. Serageldin M.A., and Spalding D.B. Computations of three-dimensional gas-turbine combustion chamber flows. Trans. ASME J. Eng. Power 101 3 (1979) 326-336
139. El-Hadidy F., Gori F., and Spalding D.B. Further results on the heat transfer to low-Prandtl number fluids in pipes. Numer. Heat Transfer A Appl. 5 1 (1982) 107-117
140. Pollard A. The numerical calculation of partially elliptic flows. Numer. Heat Transfer A Appl. 2 3 (1979) 267-278
141. Majumdar A.K., Singhal A.K., and Spalding D.B. Numerical modeling of wet cooling towers. I. Mathematical and physical models. ASME J. Heat Transfer 105 4 (1983) 728-735
142. S.V. Patankar, D.B. Spalding, A calculation procedure for the transient and steady-state behavior of shell-and-tube heat exchangers, in: N. Afgan, E.U. Schlünder (Eds.), Heat Exchangers: Design and Theory Sourcebook, Scripta Book Company, Washington, DC, 1974, pp. 155-176.
143. R.F. Le Feuvre, Laminar and Turbulent Forced Convection Processes through in-Line Tube Banks, Ph.D. thesis, Imperial College, University of London, 1973.
144. Beale S.B., and Spalding D.B. Numerical study of fluid flow and heat transfer in tube banks with stream-wise periodic boundary conditions. Trans. CSME 22 4A (1998) 394-416
145. Serth R.W. Process Heat Transfer: Principles and Applications (2007), Academic Press
146. G.F. Hewitt (Ed.), Heat Exchanger Design Handbook, vol. 1, Begell House, New York, 2008.
147. D.B. Spalding, Numbers count: SFT analysis of heat-transfer equipment. The James P. Hartnett Lecture (Paper KN-15), in: G. de Vahl Davis, E. Leonardi (Eds.), Proceedings of the IHTC-13: International Heat Transfer Conference, Sydney, 2006.
148. Beale S.B., and Elias S.R. Stress distribution in a plate subject to uniaxial loading. PHOENICS J. Comput. Fluid Dyn. Appl. 3 3 (1990) 255-287
149. S.B. Beale, S.R. Elias, Numerical Solution of Two-Dimensional Elasticity Problems by Means of a SIMPLE-Based Finite-Difference Scheme, TR-LT-020, National Research Council, Ottawa, 1991.
150. D.B. Spalding, Simulation of fluid flow, heat transfer and solid deformation simultaneously, in: NAFEMS Conference No. 4, Brighton, 1993.
151. D.B. Spalding, Extending the frontiers of computational heat transfer, Paper Cht-08-001, in: Proceedings of the CHT-08 ICHMT International Symposium on Advances in Computational Heat Transfer, Marrakech, 2008.
152. J. Swithenbank, A. Turan, P.G. Felton, D.B. Spalding, Fundamental Modelling of Mixing, Evaporation and Kinetics in Gas Turbine Combustors, Report No. HIC 320, Department of Chemical Engineering & Fuel Technology, University of Sheffield, 1979.
153. A.K. Runchal, Brian spalding: CFD & reality, Int. J. Heat Mass Transfer, in press, doi:10.1016/j.ijheatmasstransfer.2009.03.058.
154. H.I. Rosten, The Mathematical Foundation of the ESTER Computer Code, CHAM TR/84, Wimbledon, 1982.
155. Wahnsiedler W.E. Hydrodynamic modeling of commercial Hall-Heroult cells. Light Metals (1987) 269-287
156. V. Potocnik, Modeling of metal-bath interface waves in Hall-Heroult cells using ESTER/PHOENICS, in: Proceedings of the Light Metals, 1989, pp. 227-235.
157. Segatz M., Vogelsang D., Droste C., and Baekler P. Modeling of transient magneto-hydrodynamic phenomena in Hall-Heroult cells. Light Metals (1993) 361-368
158. A.M. Abdelmeguid, N.C. Markatos, K.A. Muraoka, D.B. Spalding, A method of predicting three-dimensional turbulent flows around ships' Hulls, in: Proceedings of the International Symposium on Ship Viscous Resistance, SSPA, Gothenborg, Sweden, vol. 3, 1978, pp. 1-24.
159. Markatos N.C., Malin M.R., and Tatchell D.G. Computer analysis of three-dimensional turbulent flows around ships' Hulls. Proc. IMechE 194 24 (1980) 239-248
160. M.R. Malin, H.I. Rosten, D.B. Spalding, D.G. Tatchell, Application of PHOENICS to flow around ship's Hulls, in: L. Larsson, C. S. Ohlsson (Eds.), Proceedings of the 2nd International Symposium on Ship Viscous Resistance, Gothenburg, Sweden, 1985, pp. 16:1-16:23.
161. A.K. Singhal, D.B. Spalding, A Two-Dimensional Partially-Parabolic Procedure for Axial-Flow Turbomachinery Cascades, ARC R&M No. 3807, Her Majesty's Stationery Office, London, 1978.
162. A.K. Majumdar, D.B. Spalding, A Parametric Computation of Flows and Performance of Rotating Radial Impellers, ARC R&M 3810, Her Majesty's Stationery Office, London, 1977.
163. M.R. Malin, H.I. Rosten, D.G. Tatchell, Three-dimensional computations of flows in centrifugal pumps and compressors; in performance prediction of centrifugal pumps and compressors, in: Proceedings of the 25th Annual International Gas Turbine Conference and Exhibit and 22nd Annual Fluids Engineering Conference, New Orleans, LA, 1979, pp. 33-45.
164. A.K. Singhal, D.B. Spalding, Mathematical modelling of multi-phase flow and heat transfer in steam generators, in: Proceedings of the 2nd Multi-phase Flow Transport: Fundamentals, Reactor-Safety Applications, 1980, pp. 373-406.
165. A.K. Singhal, L.W. Keeton, A.J. Prekwas, J.S. Weems, D.B. Spalding, ATHOS - A Computer Program for Thermal Hydraulic Analysis of Steam Generators, 1982.
166. S.A. Al-Sanea, N. Rhodes, D.G. Tatchell, T.S. Wilkinson, A computer model for detailed calculation of the flow in power-station condensers, in: Proceedings I. Chem. E. Symposium Series No. 75, Condensers: Theory & Practice, 1983, pp. 70-88.
167. R.H. Jureidini, M.R. Malin, M.J. Lord, K.K. Yau, A three-dimensional model for power condenser design, in: Proceedings of the 4th International PHOENICS User Conference, Miami, FL, 1991.
168. Malin M.R. Modelling flow in an experimental marine condenser. Int. Commun. Heat Mass Transfer 24 5 (1997) 597-608
169. T.T. Maxwell, Numerical Modelling of Free-Surface Flows, Ph.D. thesis, Imperial College, University of London, 1977.
170. A.G. Awn, Numerical Modelling of Flows with Moving Interfaces, Ph.D. thesis, Imperial College, University of London, London, 1979.
171. A. Castrejon, M.A. Andrews. A procedure for calculating moving-interface flows with PHOENICS, in: C.A. Brebbia, S.A. Orszag (Eds.), Proceedings of the 1st International PHOENICS Users Conference, Dartford, Published in Lecture Notes in Engineering, 18 (Springer-Verlag, London, 1985), pp. 433-443.
172. A. Moult, V.S. Pratap, D.B. Spalding, Finite-difference predictions of waves in stratified gas-liquid flows, in: Proceedings of the 1st International Conference on Physicochemical Hydrodynamics, Washington, DC, 1978.
173. A.H.A. Baghdadi, H.I. Rosten, A.K. Singhal, D.B. Spalding, D.G. Tatchell, Numerical modelling of two-phase flow with slip, in: Proceedings of the ICHMT seminar on two-phase flows, Dubrovnik, Yugoslavia, 1978.
174. N.C. Markatos, A. Moult, P.J. Phelps, D.B. Spalding, The calculation of steady, three-dimensional, two-phase flow and heat transfer in steam generators, in: N. Afgan, F. Durst, G. Tsiklauri (Eds.), Proceedings of the ICHMT Seminar on Two-Phase Flows, Dubrovnik, Yugoslavia, vol. 1, 1978, pp. 485-502.
175. Markatos N.C., Rawnsley S.M., and Spalding D.B. Heat transfer during a small-break loss-of-coolant accident in a pressurized water reactor-a parametric study for a 4-in lower-plenum break. Int. J. Heat Mass Transfer 27 8 (1984) 1379-1394
176. E.O. Marchand, A.K. Singhal, D.B. Spalding, Numerical modelling of two-phase flow in steam generators, in: 2nd Multi-phase Flow & Heat Transfer Symposium, Miami, FL, 1978.
177. S.A. Al-Sanea, N. Rhodes, T.S. Wilkinson, Mathematical modelling of two-phase condenser flows, in: Proceedings of the BHRA 2nd International Conference on Multi-Phase Flow, London, 1985, pp. 169-182.
178. Boisson N., and Malin M.R. Numerical prediction of two-phase flow in bubble columns. Int. J. Numer. Methods Fluids 23 (1996) 1289-1310
179. A.K. Singhal, D.B. Spalding, Mathematical Formulation and Solution Procedure of URSULA2 Computer Program, H3201/1, CHAM, 1979, 1978.
180. A.K. Singhal, L.W. Keeton, D.B. Spalding, Predictions of thermal hydraulics of a PWR steam generator by using the homogeneous, the two-fluid, and the algebraic-slip model, in: Proceedings of the AIChE Symposium Series No.199, vol. 76, 1980, pp. 45-55.
181. Pericleous K.A., and Drake S.N. An algebraic-slip model for multi-phase applications, numerical simulation of fluid flow and heat/mass transfer processes. In: Brebbia C.A., and Orszag S.A. (Eds). Lecture Notes in Engineering (1986), Springer- Verlag, London
182. Tacke K.H., and Ludwig J.C. Steel flow and inclusion separation in continuous casting tundishes. Steel Res. 58 (1987) 262-270
183. Pericleous K.A., and Patel M.K. The modelling of tangential and axial agitators in chemical reactors. Physicochem. Hydodyn. 8 2 (1987) 105-123
184. Markatos N.C., Malin M.R., and Cox G. Mathematical modelling of buoyancy-induced smoke flow in enclosures. Int. J. Heat Mass Transfer 25 (1982) 63-75
185. Markatos N.C., and Cox G. Hydrodynamics & heat transfer in enclosures containing a fire source. Physicochem. Hydrodyn. 5 1 (1984) 53-66
186. Kumar S., Hoffmann N., and Cox G. Some validation of JASMINE for fires in hospital wards. In: Brebbia C.A., and Orszag S.A. (Eds). Lecture Notes in Engineering (1986), Springer-Verlag 159-169
187. D.G. Tatchell, D.B. Spalding, The Rocket Based-Flow Program - BAFL, CHAM Technical Report 640/1, CHAM Ltd., Wimbledon, 1973.
188. Jensen D.E., Spalding D.B., Tatchell D.G., and Wilson A.S. Computation of structures of flames with recirculating flow and radial pressure gradients. Combust. Flame 34 (1979) 309-326
189. D.B. Spalding, Notes on the PARMIX Program, Report BL/TN/A/35, Imperial College, Mech. Eng. Dept., London, 1970.
190. S. Elghobashi, D.B. Spalding, S.K. Srivatsa, Prediction of Hydrodynamics and Chemistry of Confined Turbulent Methane-Air Mixtures with Attention to the Formation of Oxides of Nitrogen, NASA CR-135170, CHAM TR 951/2, 1977.
191. D.B. Spalding, Turbulence Models & Their Experimental Verification: - 12. Turbulence Effects on Combustion, Report HTS/73/27, Imperial College, London, 1973.
192. K. Hanna, Visions of the Future: CFD in the Power Generation Industry, FLUENT News (Fall Edition), 2004.
193. D.B. Spalding, PHOENICS a General-Purpose Computer Program for Multi-Dimensional One- and Two-Phase Flow, HTS/81/11, Computational Fluid Dynamics Unit, Imperial College, University of London, 1981.
194. D.B. Spalding, Four Lectures on the PHOENICS Code, CFD/82/5, Computational Fluid Dynamics Unit, Imperial College, University of London, 1982.
195. D.B. Spalding, PHOENICS 1984. A Multi-Dimensional Multi-Phase General-Purpose Computer Simulator for Fluid Flow, Heat Transfer and Combustion, CFD/84/18, Computational Fluid Dynamics Unit, Imperial College, University of London, 1984.
196. Rhie C.M., and Chow W.L. Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 21 11 (1983) 1525-1532
197. N.C. Markatos, D.G. Tatchell, M. Cross, N. Rhodes, Numerical simulation of fluid flow and heat/mass transfer processes, in: C.A. Brebbia, S.A. Orszag (Eds.), Proceedings of the 1st International PHOENICS Users Conference, Dartford, London (1985), Published in Lecture Notes in Engineering, vol. 18, Springer-Verlag, 1986.
198. G.W. Carroll, Experimental and Theoretical Investigation of Three-Dimensional Turbulent Mixing in Jets & Ducts, Ph.D. thesis, Imperial College, University of London, London, 1980.
199. P.A. Tennant, A Numerical Analysis of the Influence of Internal Nozzle Geometry on Diesel Fuel Injection, Ph.D. thesis, Imperial College, University of London, 1981.
200. J.O. Ilegebusi, A Revised Two-Equation Model of Turbulence, Ph.D. thesis, Imperial College, University of London, 1983.
201. A. Castrejon, Unsteady Free-Convection Heat Transfer inside and Annular Cavity, Ph.D. thesis, Imperial College, University of London, 1984.
202. H.Q. Qin, Computer and Water-Model Simulation of Flow through Poppet Valves, Ph.D. thesis, Imperial College, University of London, 1984.
203. S.M. Lo, Development of a New Interphase Friction Law for Air-Water Flows in Inclined Pipes, Ph.D. thesis, Imperial College, University of London, 1985.
204. G.T. Robert, Shock Tube of Convective Heat Transfer, Ph.D. thesis, Imperial College, University of London, 1985.
205. M.J. Andrews, Turbulent Mixing by Rayleigh-Taylor Instability, Ph.D. thesis, Imperial College, University of London, 1986.
206. L. Jun, Computer Modelling of Flow with Free Surface, Ph.D. thesis, Imperial College, University of London, 1986.
207. M.R. Malin, Turbulence Modelling for Flow and Heat Transfer in Jets, Wakes and Plumes, Ph.D. thesis, Imperial College, University of London, 1986.
208. J.Z.Y. Wu, Studies in Unsteady Flame Propagation, Ph.D. thesis, Imperial College, University of London, 1986.
209. S.T. Xi, Transient Turbulent Jets of Miscible and Immiscible Fluids, Ph.D. thesis, Imperial College, University of London, 1986.
210. K.A. Fenech, Analysing Aspects of the Performance of an Iron Blast Furnace, Ph.D. thesis, Imperial College, University of London, 1987.
211. C.A. Miller, An Evaluation of the Performance of the PHOENICS Code, Ph.D. thesis, Imperial College, University of London, 1988.
212. D. Radosavljevik, The Numerical Simulation of Direct-Contact Natural-Draught Cooling Tower Performance under the Influence of Cross-Wind, Ph.D. thesis, Imperial College, University of London, 1988.
213. F. Villasenor, The Kelvin-Helholtz Instability in a Stratified Shear Flow, Ph.D. thesis, Imperial College, University of London, 1988.
214. N. Fueyo, Two-Fluid Models of Turbulence for Axisymmetrical Jets and Sprays, Ph.D. thesis, Imperial College, University of London, 1989.
215. S.B. Beale, Fluid Flow and Heat Transfer in Tube Banks, Ph.D. thesis, Imperial College, University of London, 1993.
216. D.B. Spalding, Numerical Modelling of CVD Reactors, HTS/79/6, Mech. Eng. Dept., Imperial College, University of London, London, 1979.
217. Heritage J.R. PHOENICS-CVD: a code for the design and development of chemical vapour deposition equipment and processes. PHOENICS J. Comput. Fluid Dyn. Appl. 7 4 (1994) 165-180
218. Enright P.G., Katgerman L., Ludwig J.C., and Rogers S.C. Mixing and solidification of a turbulent liquid jet in a co-flowing stream. Int. J. Numer. Methods Eng. 24 (1987) 231-249
219. Prakash C. Two-phase model for binary solid-liquid phase change, part I. Numer. Heat Transfer B Fundam. 18 (1990) 131-145
220. Prakash C. Two-phase model for binary solid-liquid phase change, part II. Numer. Heat Transfer B Fundam. 18 (1990) 147-167
221. M.P. Davis, R.J. Dry, M.P. Schwarz, Flow simulation of the HIsmelt process, in: Proceedings of the 3rd International Conference on CFD in the Minerals & Process Industries, Melbourne, 2003, pp. 306-311.
222. Ilegbusi O.J., and Szekely J. Fluid Flow and tracer dispersion in shallow tundishes. Steel Res. 59 9 (1988) 399-405
223. Cartwright R., Ilegbusi J.O., and Szekely J. A comparison of order-of-magnitude and numerical analyses of flow phenomena in Czochralski and magnetic Czochralski systems. J. Crystal Growth 94 (1989) 321-333
224. Choo R.T.C., and Szekely J. Vaporization kinetics and surface temperature in a mutually coupled spot gas tungsten arc weld and weld pool. Weld. J. 71 3 (1992) 77-93
225. Saluja N., Ilegbusi J.O., and Szekely J. On the calculation of the electromagnetic force field in the circular stirring of metallic melts. J. Appl. Phys. 68 11 (1990) 5845-5850
226. Solhed H., and Jonsson L. An investigation of slag flotation and entrapment in a continuous-casting tundish using fluid-flow simulations, sampling and physical metallurgy. Scand. J. Metall. 32 (2003) 15-32
227. Rodriguez E., Castillejos A.H., and Acosta F.A. Experimental and numerical investigation of fluid flow and mixing in pachuca tanks. Metall. Mater. Trans. B 38B (2007) 641-656
228. D.B. Spalding, CAD to SFT, with Aeronautical applications, Plenary Lecture, in: Proceedings of the 38th Israel Annual Conference on Aerospace Sciences, 1998.
229. Tucker P.G. Assessment of geometric multilevel convergence robustness and a wall distance method for flows with multiple internal boundaries. Appl. Math. Modell. 22 (1998) 293-311
230. Tucker P.G. Differential equation-based wall distance computation for DES and RANS. J. Comput. Phys. 190 1 (2003) 229-248
231. D. Aganofer, L. Gan-Li, D.B. Spalding, The LVEL turbulence model for conjugate heat transfer at low Reynolds numbers, in: Proceedings of the EEP Application of CAE/CAD to Electronic Systems, ASME International Mechanical Engineering Congress and Exposition, Atlanta, GA, 1996.
232. Spalding D.B. A new analytical expression for the drag of a flat plate valid for both the turbulent and laminar regimes. Int. J. Heat Mass Transfer 5 12 (1962) 1133-1138
233. Rodgers P., Lohan J., Eveloy V., Fager C.M., and Rantala J. Validating numerical predictions of component thermal interaction on electronic printed circuit boards in forced convection air flows by experimental analysis. Adv. Electron. Packag. 1 (1999) 999-1008
234. K.K. Dhinsa, C.J. Bailey, K.A. Pericleous, Turbulence Modelling and Its Impact on CFD Predictions for Cooling of Electronic Components, in: Proceedings of the Ninth Intersociety Conference Thermal and Thermomechanical Phenomena in Electronic Systems, 2004.
235. Choi J., et al. A CFD-based tool for studying temperatures in rack-mounted servers. IEEE Trans. Comput. 57 8 (2008) 1129-1142
236. N.B.K. Rasmussen, The composite radiosity and gap (CRG) model of thermal radiation, in: Proceedings of the 6th European Conference on Industrial Furnaces and Boilers (INFUB-6) 2002 Conference, Estoril, Lisbon, Portugal, 2002. (Also published as Danish Gas Technology Centre Report No. CO201, Hørsholm, Demark, 2003.)
237. Y. Yang, R.A. de Jong, M. Reuter, Use of CFD to Predict the Performance of a heat treatment furnace, in: Proceedings of the 4th International Conference on CFD in the Oil and Gas, metallurgical and process Industries, Trondheim, Norway, 2005, pp. 1-9.
238. D.B. Spalding, Idealisations of Radiation, HTS/80/1, Mech. Eng., Dept., Imperial College, University of London, 1980.
239. Yang Y., de Jong R.A., and Reuter M. CFD prediction for the performance of a heat treatment furnace. Prog. Comput. Fluid Dyn. Int. J. 7 2-4 (2007) 209-218
240. W.N. Hien, A.D. Istiadji, Effects of external shading devices on daylighting and natural ventilation, in: Proceedings of the 8th International IBPSA Conference, Eindhoven, The Netherlands, 2003, pp. 475-482.
241. M.R. Malin, D.B. Spalding, Extensions to the PHOENICS Parabolic Solver for under-Expanded Jets, Report C/4366/1 & 2, CHAM Ltd., London, 1998.
242. Lockwood F.C., Abbas T., Kandamby N.H., and Sakthitharan V. CFD experience on industrial combustors. Prog. Comput. Fluid Dyn. Int. J. 1 1/2/3 (2001) 1-13