Unsteady flow and heat transfer of viscous incompressible fluid with temperature-dependent viscosity due to a rotating disc in a porous medium

Journal of Physics A: Mathematical and General

Volumn 39, Issue 4, 2006, Pages 979-991

  Attia, Hazem Ali ^a,b  

^a QASSIM UNIVERSITY   (Saudi Arabia)

^b Fayoum University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30644479464     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/39/4/017     Document Type: Article

References (27)

1. Herrero J, Humphery J A C and Giralt F 1994 Comparative analysis of coupled flow and heat transfer between co-rotating disks in rotating and fixed cylindrical enclosures Am. Soc. Mech. Eng. Heat Transfer Div. 300 111-21
2. Owen J M and Rogers R H 1989 Flow and heat transfer in rotating disk systems Rotor-Stator Systems vol 1 (Taunton/New York: Research Studies Press/Wiley)
3. Von Karman T 1921 Uber laminare und turbulente Reibung Z. Angew. Math. Mech. 1 233-55
4. Cochran W C 1934 The flow due to a rotating disk Proc. Camb. Phil. Soc. 30 365-75
5. Benton E R 1966 On the flow due to a rotating disk J. Fluid Mech. 24 781-800
6. Bodewadt U T 1940 Die Drehstromung uber festem Grunde Z. Angew. Math. Mech. 20 241-53
7. Rogers M G and Lance G N 1960 The rotationally symmetric flow of a viscous fluid in presence of infinite rotating disk J. Fluid Mech. 7 617-31
8. Stuart J T 1954 On the effect of uniform suction on the steady flow due to a rotating disk Q. J. Mech. Appl. Math. 7 446-57
9. Batchelor G K 1951 Note on a class of solutions of the Navier-Stokes equations representing steady non-rotationally symmetric flow Q. J. Mech. Appl. Math. 4 29-41
10. Ockendon H 1972 An asymptotic solution for steady flow above an infinite rotating disk with suction Q. J. Mech. Appl. Math. 25 291-301
11. Wagner C 1948 Heat transfer from a heated disk to ambient air J. Appl. Phys. 19 837-41
12. Millsaps K and Pohlhausen K 1952 Heat transfer by a laminar flow from a rotating plate J. Aerosol Sci. 19 120-6
13. Sparrow E M and Gregg J L 1959 Heat transfer from a rotating disk to a fluid at any Prandtl number ASME J. Heat Transfer C 81 249-51
14. Ostrach S and Thornton P R 1958 Compressible laminar flow and heat transfer about a rotating isothermal disk NACA Technical Note 4320
15. Hartnett J P 1959 Heat transfer from a non-isothermal rotating disk in still air ASME J. Appl. Mech. 4 672-3
16. Gary J, Kassory D R, Tadjeran H and Zebib A 1982 The effect of significant viscosity variation on convective heat transport in water-saturated porous media J. Fluid Mech. 117 233-49
17. Mehta K N and Sood S 1992 Transient free convection flow with temperature dependent viscosity in fluid saturated porous medium Int. J. Eng. Sci. 30 1083-7
18. Joseph D D, Nield D A and Papanicolaou G 1982 Nonlinear equation governing flow in a saturated porous media Water Resources Res. 18 1049-52
19. Ingham D B and Pop I 2002 Transport Phenomena in Porous Media (Oxford: Pergamon)
20. Khaled A R A and Vafai K 2003 The role of porous media in modeling flow and heat transfer in biological tissues Int. J. Heat Mass Transfer 46 4989-5003
21. Howells I D 1998 Drag on fixed beds of fibers in slow flow J. Fluids Mech. 335 163-92
22. Feng J, Ganatos P and Weinbaum S 1998 Motions of a sphere near planar confining boundaries in a Brinkman medium J. Fluid Mech. 375 261-92
23. Minkowycz W J and Sparrow 1978 Numerical solution scheme for local non-similarity boundary layer analysis Numer. Heat Transfer 1 69-85
24. Keller H B 1978 Numerical methods in the boundary layer theory Annu. Rev. Mech. 10 417-33
25. Cebeci T and Bradshaw P 1984 Physical and Computational Aspects of Convective Heat Transfer (New York: Springer)
26. Nachtsheim P R and Swigert P 1965 Satisfaction of the asymptotic boundary conditions in numerical solution of the system of non-linear equations of boundary layer type NASA TN D-3004
27. Butcher J C 1964 Implicit Runge-Kutta process Math. Comput. 18 50-5