Developing turbulent duct flow: Hybrid solution via integral transforms and algebraic model

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 8, Issue 1, 1998, Pages 10-26

  Cotta, R M ^a   Pimentel, L C G ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; BOUNDARY LAYERS; COMPUTER SIMULATION; DUCTS; EIGENVALUES AND EIGENFUNCTIONS; FRICTION; HEAT TRANSFER; INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING; REYNOLDS NUMBER; CHANNEL FLOW; COMPUTATIONAL FLUID DYNAMICS; ERROR ANALYSIS; MATHEMATICAL MODELS; TURBULENCE;

DESIGN PROCEDURES; INTEGRAL TRANSFORMS; PROBLEM FORMULATION; VELOCITY DISTRIBUTION; AUTOMATIC ERROR CONTROL; PARALLEL PLATES CHANNELS;

TURBULENT FLOW;

DUCT; FLOW ANALYSIS; HEAT EXCHANGER; TURBULENCE;

EID: 0031703068     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615539810197907     Document Type: Article

References (26)

1. Arpaci, V.S. and Larsen, P.S. (1984), Convection Heat Transfer, Prentice-Hall, London.
2. Baohua, C. and Cotta, R.M. (1993), "Integral transform analysis of natural convection in porous enclosures", Int. J. Num. Meth. Fluids, Vol. 17, pp. 787-801.
3. Bradshaw, P., Cebeci, T. and Whitelaw, J.H. (1981), Engineering Calculation Methods for Turbulent Flows, Academic Press, London.
4. Byrne, J., Hatton, A.P. and Marriot, P.G. (1969-70), "Turbulent flow and heat transfer in entrance region of parallel wall passage", Proceedings, Inst. Mech. Eng., Vol. 184, part. 1, No 39, p. 697.
5. Campos Silva, J.B., Cotta, R.M. and Aparecido, J.B. (1992), "Analytical solution to simultaneously developing laminar flow inside parallel-plates channel", Int. J. Heat & Mass Transfer, Vol. 35, pp. 887-95.
6. Carvalho, T.M.B., Cotta, R.M. and Mikhailov, M.D. (1993), "Flow development in the entrance region of ducts", Comm. Num. Meth. Eng., Vol. 9, pp. 503-09.
7. Cebeci, T. and Chang, K.C. (1978), "A general method for calculating momentum and heat transfer in Laminar and turbulent duct flows", Num. Heat Transfer, Vol. 1, pp. 39-68.
8. Cebeci, T. and Smith, A.M.O. (1974), Analysis of Turbulent Boundary Layers, Academic Press, New York, NY.
9. Cotta, R.M. (1990), "Hybrid numerical-analytical approach to nonlinear diffusion problems", Num. Heat Transfer, part B - Fundamentals, Vol. 17, pp. 217-26.
10. Cotta, R.M. (1993), Integral Transforms in Computational Heat and Fluid Flow, CRC Press, Boca Raton, FL.
11. Cotta, R.M. and Carvalho, T.M.B. (1991), "Hybrid analysis of boundary layer equations for internal flow problems", 7th Int. Conf. on Num. Meth. for Thermal Problems, Part I, July, pp. 106-15, Stanford, CA.
12. Cotta, R.M. and Serfaty, R. (1991), "Integral transform algorithm for parabolic diffusion problems with nonlinear boundary and equation source terms", 7th Int. Conf. on Num. Meth. for Thermal Problems, Part II, July, pp. 916-26, Stanford, CA.
13. Cotta, R.M., Pérez Guerrero, J.S. and Scofano Neto, F. (1992), "Hybrid solution of the incompressible Navier-Stokes equations via integral transformation", 2nd Int. Conf. Adv. Comp. Meth. in Heat Transfer, Vol. 1, pp. 735-50, Milan.
14. Dean, R.B. (1972), "Interaction of turbulent shear layers in duct flow", PhD dissertation, London University.
15. Diniz, A.J., Aparecido, J.B. and Cotta, R.M. (1990), "Heat conduction with ablation in a finite slab", Int. J. Heat & Tech., Vol. 8, pp. 30-43.
16. IMSL Library (1987), MATH/LIB, Houston, TX.
17. Leiroz, A.J.K. and Cotta, R.M. (1993), "On the solution of nonlinear elliptic convection-diffusion problems through the integral transform method", Num. Heat Transfer, part B-Fundamentals, Vol. 23, pp. 401-11.
18. Machado, H.A. and Cotta, R.M. (1995), "Integral transform method for boundary layer equations in simultaneous heat and fluid flow problems", Int. J. Num. Meth. Heat & Fluid Flow, Vol. 5, pp. 225-37.
19. Mikhailov, M.D. and Cotta, R.M. (1994), "Integral transform method for eigenvalue problems", Comm. Num. Meth. Eng, Vol. 10, pp. 827-35.
20. Minkowycz, W.J., Sparrow, E.M., Schneider, G.E. and Pletcher, R.H. (Eds) (1988), Handbook of Numerical Heat Transfer, John Wiley, New York, NY.
21. Perez Guerrero, J.S. and Cotta, R.M. (1992), "Integral transform method for the Navier-Stokes equations in streamfunction-only formulation", Int. J. Num. Meth. Fluids, Vol. 15, pp. 399-409.
22. Perez Guerrero, J.S., Cotta, R.M. and Scofano Neto, F. (1993), "Integral transformation of Navier-Stokes equations for incompressible laminar flow in channels", 8th Int. Conf. Num. Meth. in Laminar & Turbulent Flow, Vol. 2, pp. 1195-1206, Swansea.
23. Serfaty, R. and Cotta, R.M. (1990), "Integral transform solutions of diffusion problems with nonlinear equation coefficients", Int. Comm. Heat & Mass Transfer, Vol. 17, pp. 851-67.
24. Serfaty, R. and Cotta, R.M. (1992), "Hybrid analysis of transient nonlinear convection-diffusion problems", Int. J. Num. Meth. Heat & Fluid Flow, Vol. 2, pp. 55-62.
25. Shah, R.K. and Bhatti, M.S. (1987), "Turbulent convective heat transfer in ducts", in Kakaç, S., Shak, R.K. and Aung, W. (Eds), Handbook of Single-Phase Convective Heat Transfer, John Wiley, New York, NY.
26. Zaparoli, E.L. (1989), "Calculation of turbulent flow and heat transfer in the entry region of tubes and parallel-plates with two versions of the k-e model for low Reynolds numbers", DSc dissertation (in Portuguese), Instituto Tecnológico de Aeronáutica, São Paulo.