Mixed convection boundary layer flow of a micropolar fluid on a horizontal flat plate with power law variation in surface temperature

International Journal of Thermal Sciences

Volumn 39, Issue 3, 2000, Pages 360-373

  Ibrahim, F S ^a   Hassanien, I A ^a  

^a Assiut University   (Egypt)

Author keywords

Boundary layers; Finite difference; Heat transfer; Micropolar fluids; Mixed convection; Nonsimilar solutions

Indexed keywords

EID: 0034147217     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1290-0729(00)00221-0     Document Type: Article

References (28)

1. Lloyed J.R., Sparrow E.M., Combined forced and free convection flow on vertical surfaces, Int. J. Heat Mass Tran. 13 (1970) 434-438.
2. Wilks G., Combined forced and free convection flow on vertical surfaces, Int.J. Heat Mass Tran. 16 (1973) 1958-1964.
3. Ramarchandran N., Armaly B.F., Chen T.S., Measurements and predictions of laminar mixed convection flow adjacent to a vertical surface, J. Heat Tran. 107 (1985) 636-641.
4. Ramarchandran N., Armaly B.F., Chen T.S., Mixed convection over a horizontal plate, J. Heat Tran. 105 (1983) 420-423.
5. Raju M.S., Lin X.Q., Law C.K., A formulation of combined forced and free convection past horizontal and vertical surfaces, Int. J. Heat Mass Tran. 27 (1984) 2215-2224.
6. Schneider W., Wasel M.G., Breakdown of the boundary layer approximation for mixed convection above a horizontal plate, Int. J. Heat Mass Tran. 28 (1985) 2307-2313.
7. Lee S.I., Chen T.S., Armaly B.F., New finite difference solution methods for wave instability problems, Numer. Heat Transfer 10 (1986) 1-8.
8. Risbeck W.R., Chen T.S., Armaly B.F., Laminar mixed convection over horizontal flat plates with power-law variation in surface temperature, Int. J. Heat Mass Tran. 36 (1994) 1859-1866.
9. Eringen A.C., Theory of micropolar fluids, Math. Mech. 16 (1966) 1-18.
10. Eringen A.C., Theory of thermomicrofluids, Math. Anal. Appl. 38 (1972) 480-496.
11. Khonsari M.M., on the self-excited whirl orbits of a journal in a sleeve bearing lubricated with micropolar fluids, Acta Mech. 81 (1990) 235-244.
12. Hudimoto B., Tokuoka T., Two dimensional shear flows of linear micropolar fluids, Int. J. Eng. Sci. 7 (1969) 515-522.
13. Ariman T., Turk M.A., Sylvester N.D., On steady and pulsatile flow of blood, J. Appl. Mech. 41 (1974) 1-7.
14. Ariman T., Turk M.A., Sylvester N.D., Microcontinuum fluid mechanics - A review, Internat. J. Engrg. Sci. 11 (1973) 905-930.
15. Ariman T., Turk M.A., Sylvester N.D., Applications of microcontinuum fluid mechanics, Internat. J. Engrg. Sci. 12 (1974) 273-293.
16. Ahmedi G., Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate, Internat. J. Engrg. Sci. 14 (1976) 639-646.
17. Gorla R.S.R., Pender R., Eppich J., Heat transfer in micropolar boundary flow over a flat plate, Internat. J. Engrg. Sci. 21 (1983) 791-798.
18. Jena S.K., Mathur M.N., Similarity solutions of laminar free convection flow of a thermomicropolar fluid past a non-isothermal vertical flat plate, Internat. J. Engrg. Sci. 19 (1981) 1431-1439.
19. Hassanien I.A., Bakier A.Y., Gorla R.S.R., Natural convection boundary layer flow of a micropolar fluid along a vertical plate in a thermally stratified medium, Appl. Mech. Engrg. 1 (1996) 381-395.
20. Lien F.S., Chen C.K., Effects of microstructure on the conjugated mixed forced and free convection-conduction analysis of heat transfer in a vertical plate fin, Trans. of the ASME 108 (1986) 580-584.
21. Sastry V.U.K., Maiti G., Numerical solution of combined convection heat transfer of micropolar fluid in an annuls of two vertical pipes, Int. J. Heat Mass Tran. 19 (1976) 207-211.
22. Hassanien I.A., Mansour M.A., Gorla R.S.R., Combined convection on a vertical slender cylinder in a micropolar fluid, Wärme- und StoffüBertragung 29 (1994) 355-359.
23. Gorla R.S.R., Hassanien I.A., Mixed convection in stagnation flows of micropolar fluids over vertical surfaces with nonuniform surface heat flux, Internat. J. Engrg. Fluid Mech. 5 (1992) 391-412.
24. Hassanien I.A., Mixed convection in micropolar boundary layer flow over a horizontal semi-infinite plate, ASME J. Fluid Mech. 118 (1996) 833-838.
25. Hassanien I.A., Ibrahim F.S., Gorla R.S.R., Mixed convection boundary layer flow of a micropolar fluid on a horizontal plate, Chem. Engrg. Comm. 170 (1999) 117-131.
26. Sparrow E.M., Quack H., Boerner J., Local nonsimiliarity boundary solutions, AIAA 8 (1970) 1936-1942.
27. Pereyra V., PASVA3: An adaptive finite-difference FORTRAN program for first order nonlinear boundary value problems, in: Lecture Notes in Computer Science, Vol. 76, Springer, Berlin, 1978.
28. Gebhart B., Heat Transfer, 2nd Edition, McGraw-Hill, New York, 1971.