Stagnation point flow and heat transfer over a stretching/shrinking sheet in a porous medium

International Communications in Heat and Mass Transfer

Volumn 38, Issue 8, 2011, Pages 1029-1032

  Rosali, Haliza ^a   Ishak, Anuar ^b   Pop, Ioan ^c  

^a UNIVERSITY PUTRA MALAYSIA   (Malaysia)

^b UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

^c BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

Forced convection; Heat transfer; Porous medium; Shrinking stretching sheet; Stagnation point flow

Indexed keywords

DUAL SOLUTIONS; FLOW AND HEAT TRANSFER; GOVERNING PARAMETERS; GOVERNING SYSTEM; KELLER-BOX METHOD; LOCAL NUSSELT NUMBER; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; POROUS MEDIUM; SHRINKING SHEET; SIMILARITY TRANSFORMATION; SKIN FRICTION COEFFICIENT; STAGNATION-POINT FLOW; TEMPERATURE PROFILES; VELOCITY PROFILES;

FORCED CONVECTION; FRICTION; NONLINEAR EQUATIONS; NUSSELT NUMBER; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SHRINKAGE;

POROUS MATERIALS;

EID: 80052168819     PISSN: 07351933     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.icheatmasstransfer.2011.04.031     Document Type: Article

References (27)

1. Bejan A. Convection Heat Transfer 1995, Wiley, New York. second ed.
2. Nield D.A., Bejan A. Convection in Porous Media 2006, Springer, New York. third ed.
3. Pop I., Ingham D.B. Convective Heat Transfer: Mathematical and Computational Modeling of Viscous Fluids and Porous Media 2001, Pergamon, Oxford.
4. Bejan A., Dincer I., Lorente S., Miguel A.F., Reis A.H. Porous and Complex Flow Structures in Modern Technologies 2004, Springer, New York.
5. Ingham D.B., Pop I. Transport Phenomena in Porous Media III 2005, Elsevier, Oxford.
6. Vafai K. Handbook of Porous Media 2005, Taylor & Francis, New York. second ed.
7. Vadasz P. Emerging Topics in Heat and Mass Transfer in Porous Media 2008, Springer, New York.
8. Vafai K. Porous Media: Applications in Biological Systems and Biotechnology 2010, CRC Press, Tokyo.
9. Vafai K., Tien C.L. Boundary and inertia effects on flow and heat transfer in porous media. Int. J. Heat Mass Transfer 1981, 24:195-203.
10. Ishak A., Nazar R., Pop I. Dual solutions in mixed convection flow near a stagnation point on a vertical surface in a porous medium. Int. J. Heat Mass Transfer 2008, 51:1150-1155.
11. Hiemenz K. Die Grenzschicht an einem in den gleichförmingen Flüssigkeitsstrom eingetauchten graden Kreiszylinder. Dinglers Polytech. J. 1911, 326:321-324.
12. Merrill K., Beauchesne M., Previte J., Paullet J., Weidman P. Final steady flow near a stagnation point on a vertical surface in a porous medium. Int. J. Heat Mass Transfer 2006, 49:4681-4686.
13. Crane L.J. Flow past a stretching plate. J. Appl. Math. Phys. ZAMP 1970, 21:645-647.
14. Mahapatra T.R., Gupta A.S. Heat transfer in stagnation-point flow towards a stretching sheet. Heat Mass Transfer 2002, 38:517-521.
15. Mahapatra T.R., Gupta A.S. Stagnation-point flow towards a stretching surface. Can. J. Chem. Eng. 2003, 81:258-263.
16. Miklavčič M., Wang C.Y. Viscous flow due to a shrinking sheet. Q. Appl. Math. 2006, 64:283-290.
17. Fang T. Boundary layer flow over a shrinking sheet with power-law velocity. Int. J. Heat Mass Transfer 2008, 51:5838-5843.
18. Fang T., Liang W., Lee C.F. A new solution branch for the Blasius equation - a shrinking sheet problem. Comput. Math. Appl. 2008, 56:3088-3095.
19. Wang C.Y. Stagnation flow towards a shrinking sheet. Int. J. Non Linear Mech. 2008, 43:377-382.
20. Fang T., Zhang J., Yao S. Viscous flow over an unsteady shrinking sheet with mass transfer. Chin. Phys. Lett. 2009, 26:014703.
21. Hayat T., Abbas Z., Sajid M. On the analytic solution of magnetohydrodynamic flow of a second grade fluid over a shrinking sheet. J. Appl. Mech. Trans. ASME 2007, 74:1165-1171.
22. Sajid M., Hayat T., Javed T. MHD rotating flow of a viscous fluid over a shrinking surface. Nonlinear Dyn. 2008, 51:259-265.
23. Raptis A.A., Takhar H.S. Flow through a porous medium. Mech. Res. Commun. 1987, 14:327-329.
24. Cheng P. Combined free and forced convection flow about inclined surfaces in porous media. Int. J. Heat Mass Transfer 1977, 20:807-814.
25. Lai F.C., Kulacki F.A. The influence of lateral mass flux on mixed convection over inclined surfaces in saturated porous media. ASME J. Heat Transfer 1990, 112:515-518.
26. Cebeci T., Bradshaw P. Physical and Computational Aspects of Convective Heat Transfer 1988, Springer, New York.
27. Chiam T.C. Stagnation point flow towards a stretching plate. J. Phys. Soc. Jpn. 1994, 63:2443-2444.