Unsteady heat transfer in impulsive Falkner-Skan flows: Constant wall temperature case

European Journal of Mechanics, B/Fluids

Volumn 21, Issue 4, 2002, Pages 447-468

  Harris, Simon D ^a   Ingham, Derek B ^a   Pop, Ioan ^b  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

Analytical and numerical solutions; Boundary layer; Falkner Skan; Isothermal; Semi infinite wedge; Steady state flow; Transient flow

Indexed keywords

BOUNDARY LAYERS; FINITE DIFFERENCE METHOD; HEAT TRANSFER; MATHEMATICAL MODELS; NUSSELT NUMBER; OSCILLATIONS; VELOCITY MEASUREMENT;

STEADY-STATE FLOW; TRANSIENT FLOW;

FLOW OF FLUIDS;

EID: 1642381068     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7546(02)01193-7     Document Type: Article

References (30)

1. Leal L.G. Laminar Flow and Convection Transfer Processes: Scaling Principles and Asymptotic Analysis. 1992;Butterworth-Heinemann, Boston.
2. Gersten K., Herwig H. Strämungsmechanik. 1992;Vieweg, Braunschweig/Wiesbaden.
3. Schlichting H., Gersten K. Grenzschicht - Theorie. 1997;Springer-Verlag, Berlin.
4. Riley N. Unsteady laminar boundary layers. SIAM Rev. 17:1975;274-297.
5. Riley N. Unsteady viscous flows. Sci. Progress Oxford. 74:1990;361-377.
6. Telionis D.R. Review - unsteady boundary-layers, separated and attached. J. Fluids Engrg. 101:1979;29-43.
7. Telionis D.R. Unsteady Viscous Flows. 1981;Springer-Verlag, New York.
8. Ludlow D.K., Clarkson P.A., Bassom A.P. New similarity solutions of the unsteady incompressible boundary-layer equations. Quart. J. Mech. Appl. Math. 53:2000;175-206.
9. Pop I., Arinç F. Transient heat transfer in boundary-layer flows. Padet J., Arinç F. Proc. Int. Symposium on Transient Convective Heat Transfer, Cesme, Turkey, 19-23 August. 1996;3-17 Begell House, New York.
10. Walker J.D.A., Dennis S.C.R. The boundary-layer in a shock tube. J. Fluid Mech. 56:1972;19-47.
11. Smith S.H. The impulsive motion of a wedge in a viscous fluid. J. Appl. Math. Phys. (ZAMP). 18:1967;508-522.
12. Nanbu K. Unsteady Falkner-Skan flow. J. Appl. Math. Phys. (ZAMP). 22:1971;1167-1172.
13. Hall M.G. The boundary-layer over an impulsively started flat plate. Proc. R. Soc. London A. 310:1969;401-414.
14. Watkins C.B. Unsteady heat transfer in impulsive Falkner-Skan flows. Int. J. Heat Mass Transfer. 19:1976;395-403.
15. Krause E.H., Bothmann T. Numerische Stabilität Dreidimensionaler Grenzschtlosungen. J. Appl. Math. Mech. (ZAMM). 48:1968;1336-1342.
16. Williams J.C., Rhyne T.B. Boundary-layer development on a wedge impulsively set into motion. SIAM J. Appl. Math. 38:1980;215-224.
17. Tsay S.-Y., Shih Y.-P. Laminar forced convection in wedge flow with separation. J. Chinese Inst. Engrs. 2:1979;53-57.
18. Merkin J.H. Free convection with blowing and suction. Int. J. Heat Mass Transfer. 15:1972;989-999.
19. Dennis S.C.R. The motion of a viscous fluid past an impulsively started semi-infinite flat plate. J. Inst. Math. Appl. 10:1972;105-117.
20. Harris S.D., Elliott L., Ingham D.B., Pop I. Transient free convection flow past a vertical flat plate subjected to a sudden change in surface temperature. Int. J. Heat Mass Transfer. 41:1998;357-372.
21. Harris S.D., Ingham D.B., Pop I. Free convection from a vertical plate in a porous medium subjected to a sudden change in surface heat flux. Transp. Porous Media. 26:1997;207-226.
22. Harris S.D., Ingham D.B., Pop I. Free convection from a vertical plate in a porous media subjected to a sudden change in surface temperature. Int. Comm. Heat Mass Transfer. 24:1997;543-552.
23. Harris S.D., Ingham D.B., Pop I. Unsteady mixed convection boundary-layer flow on a vertical surface in a porous medium. Int. J. Heat Mass Transfer. 42:1999;357-372.
24. Harris S.D., Ingham D.B., Pop I. Transient boundary-layer heat transfer from a flat plate subjected to a sudden change in heat flux. Eur. J. Mech. B/Fluids. 20:2001;187-204.
25. Lin H.-T., Lin L.-K. Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Prandtl number. Int. J. Heat Mass Transfer. 30:1987;1111-1118.
26. Heeg R.S., Dijkstra D., Zandbergen P.J. The stability of Falkner-Skan flows with several inflection points. Z. Angew. Math. Phys. (ZAMP). 50:1999;82-93.
27. Stewartson K. Further solutions of the Falkner-Skan equation. Proc. Cambridge Philos. Soc. 50:1954;454-465.
28. Hartree D.R. On an equation occurring in Falkner and Skan's approximate treatment of the equations of the boundary-layer. Proc. Cambridge Philos. Soc. 33:1937;223-239.
29. Banks W.H.H., Drazin P.G. Perturbation methods in boundary-layer theory. J. Fluid Mech. 58:1973;763-775.
30. Rosenhead L. Laminar Boundary Layers. 1963;Oxford University Press.