Non-Darcian forced convection flow of viscous dissipating fluid over a flat plate embedded in a porous medium

Transport in Porous Media

Volumn 73, Issue 2, 2008, Pages 173-186

  Aydın, Orhan ^a   Kaya, Ahmet ^a  

^a KARADENIZ TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Boundary layer; Eckert number; Horizontal; Inertia effect; Porosity; Porous medium; Suction injection parameter; Viscous dissipation

Indexed keywords

BOUNDARY LAYER FLOW; FINITE DIFFERENCE METHOD; HEAT TRANSFER COEFFICIENTS; LAMINAR FLOW; POROSITY; POROUS MATERIALS; SKIN FRICTION; VISCOUS FLOW;

ECKERT NUMBER; NON-DARCIAN EFFECT; VISCOUS DISSIPATION;

FORCED CONVECTION;

BOUNDARY LAYER FLOW; FINITE DIFFERENCE METHOD; FORCED CONVECTION; HEAT TRANSFER COEFFICIENTS; LAMINAR FLOW; POROSITY; POROUS MATERIALS; SKIN FRICTION; VISCOUS FLOW;

BOUNDARY LAYER; CONVECTIVE SYSTEM; DISSIPATION; FINITE DIFFERENCE METHOD; FLOW MODELING; HEAT TRANSFER; LAMINAR FLOW; POROSITY; POROUS MEDIUM; SATURATED MEDIUM; TEMPERATURE PROFILE; VELOCITY PROFILE; VISCOUS FLOW;

EID: 42549167477     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-007-9166-8     Document Type: Article

References (36)

1. A.K. Al-Hadhrami L. Elliott D.B. Ingham 2002 Combined free and forced convection in vertical channels of porous media Transp. Porous Media 49 3 265 289 10.1023/A:1016290505000 Al-Hadhrami A.K., Elliott L. and Ingham D.B. (2002). Combined free and forced convection in vertical channels of porous media. Transp. Porous Media 49(3): 265–289
2. A.K. Al-Hadhrami L. Elliott D.B. Ingham 2003 A new model for viscous dissipation in porous media across a range of permeability values Transp. Porous Media 53 1 117 122 10.1023/A:1023557332542 Al-Hadhrami A.K., Elliott L. and Ingham D.B. (2003). A new model for viscous dissipation in porous media across a range of permeability values. Transp. Porous Media 53(1): 117–122
3. O. Aydin A. Kaya 2005 Laminar boundary layer flow over a horizontal permeable flat plate Appl. Math. Comput. 161 1 229 240 10.1016/j.amc.2003.12.021 Aydin O. and Kaya A. (2005). Laminar boundary layer flow over a horizontal permeable flat plate. Appl. Math. Comput. 161(1): 229–240
4. O. Aydin A. Kaya 2006 Mixed convection of a viscous dissipative fluid about a vertical flat plate embedded in a porous medium: constant wall temperature case J. Porous Media 9 6 559 580 10.1615/JPorMedia.v9.i6.50 Aydin O. and Kaya A. (2006). Mixed convection of a viscous dissipative fluid about a vertical flat plate embedded in a porous medium: constant wall temperature case. J. Porous Media 9(6): 559–580
5. C. Beckerman R. Viskanta 1987 Forced convection boundary layer flow and heat transfer along a flat plate embedded in a porous medium Int. J. Heat Mass Transfer 30 7 1547 1551 10.1016/0017-9310(87)90188-8 Beckerman C. and Viskanta R. (1987). Forced convection boundary layer flow and heat transfer along a flat plate embedded in a porous medium. Int. J. Heat Mass Transfer 30(7): 1547–1551
6. T. Cebeci P. Bradshaw 1984 Physical and Computational Aspects of Convective Heat Transfer Springer New York Cebeci T. and Bradshaw P. (1984). Physical and Computational Aspects of Convective Heat Transfer. Springer, New York
7. B.C. Chandrasekhara 1986 Solutions for axial and transverse boundary layers in the case of steady laminar flow past a horizontal plate embedded in a saturated porous medium Warme Und Stoffubertragung-Thermo Fluid Dyn. 20 2 105 110 10.1007/BF01008808 Chandrasekhara B.C. (1986). Solutions for axial and transverse boundary layers in the case of steady laminar flow past a horizontal plate embedded in a saturated porous medium. Warme Und Stoffubertragung-Thermo Fluid Dyn. 20(2): 105–110
8. C.L. Chang 2006 Numerical simulation of micropolar fluid flow along a flat plate with wall conduction and buoyancy effects J. Phys. D Appl. Phys. 39 6 1132 1140 10.1088/0022-3727/39/6/019 Chang C.L. (2006). Numerical simulation of micropolar fluid flow along a flat plate with wall conduction and buoyancy effects. J. Phys. D Appl. Phys. 39(6): 1132–1140
9. A.J. Chamkha M. Mujtaba A. Quadri C. Issa 2003 Thermal radiation effects on MHD forced convection flow adjacent to a non-isothermal wedge in the presence of heat source or sink Heat Mass Transfer 39 4 305 312 Chamkha A.J., Mujtaba M., Quadri A. and Issa C. (2003). Thermal radiation effects on MHD forced convection flow adjacent to a non-isothermal wedge in the presence of heat source or sink. Heat Mass Transfer 39(4): 305–312
10. M.F. El-Amin 2003 Combined effect of magnetic field and viscous dissipation on a power-law fluid over plate with variable surface heat flux embedded in a porous medium J. Magn. Magn. Mater. 261 1–2 228 237 10.1016/S0304-8853(02)01478-6 El-Amin M.F. (2003). Combined effect of magnetic field and viscous dissipation on a power-law fluid over plate with variable surface heat flux embedded in a porous medium. J. Magn. Magn. Mater. 261(1–2): 228–237
11. A.S. Gupta J.C. Misra M. Reza 2003 Effects of suction or blowing on the velocity and temperature distribution in the flow past a porous flat plate of a power-law fluid Fluid Dyn. Res. 32 6 283 294 10.1016/S0169-5983(03)00068-6 Gupta A.S., Misra J.C. and Reza M. (2003). Effects of suction or blowing on the velocity and temperature distribution in the flow past a porous flat plate of a power-law fluid. Fluid Dyn. Res. 32(6): 283–294
12. F.M. Hady F.S. Ibrahim 1997 Forced convection heat transfer on a flat plate embedded in porous media for power-law fluids Transp. Porous Media 28 2 125 134 10.1023/A:1006525412728 Hady F.M. and Ibrahim F.S. (1997). Forced convection heat transfer on a flat plate embedded in porous media for power-law fluids. Transp. Porous Media 28(2): 125–134
13. D.B. Ingham I. Pop 1998 Transport Phenomena in Porous Media I Pergamon New York Ingham D.B. and Pop I. (1998). Transport Phenomena in Porous Media I. Pergamon, New York
14. D.B. Ingham I. Pop 2002 Transport Phenomena in Porous Media II Pergamon New York Ingham D.B. and Pop I. (2002). Transport Phenomena in Porous Media II. Pergamon, New York
15. C. Israel-Cookey A. Ogulu V.B. Omubo-Pepple 2003 Influence of viscous dissipation and radiation on unsteady MHD free-convection flow past an infinite heated vertical plate in a porous medium with time-dependent suction Int. J. Heat Mass Transfer 46 13 2305 2311 10.1016/S0017-9310(02)00544-6 Israel-Cookey C., Ogulu A. and Omubo-Pepple V.B. (2003). Influence of viscous dissipation and radiation on unsteady MHD free-convection flow past an infinite heated vertical plate in a porous medium with time-dependent suction. Int. J. Heat Mass Transfer 46(13): 2305–2311
16. M. Kaviany 1995 Principles of Heat Transfer in Porous Media Springer New York Kaviany M. (1995). Principles of Heat Transfer in Porous Media. Springer, New York
17. A.V. Kuznetsov D.A. Nield 2006 Boundary layer treatment of forced convection over a wedge with an attached porous substrate J. Porous Media 9 7 683 694 10.1615/JPorMedia.v9.i7.70 Kuznetsov A.V. and Nield D.A. (2006). Boundary layer treatment of forced convection over a wedge with an attached porous substrate. J. Porous Media 9(7): 683–694
18. G. Lauriat R. Ghafir 2000 Forced convective heat transfer in porous media K. Vafai Handbook of Porous Media Marcel Dekker New York 201 204 Lauriat G. and Ghafir R. (2000). Forced convective heat transfer in porous media. In: Vafai, K. (eds) Handbook of Porous Media, pp 201–204. Marcel Dekker, New York
19. H.T. Lin L.K. Lin 1987 Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Prandtl number Int. J. Heat Mass Transfer 30 1111 1118 10.1016/0017-9310(87)90041-X Lin H.T. and Lin L.K. (1987). Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Prandtl number. Int. J. Heat Mass Transfer 30: 1111–1118
20. J.X. Ling A. Dybbs 1992 The effect of variable viscosity on forced convection over a flat plate submersed in a porous medium J. Heat Trans.-T. Asme. 114 4 1063 1065 10.1115/1.2911882 Ling J.X. and Dybbs A. (1992). The effect of variable viscosity on forced convection over a flat plate submersed in a porous medium. J. Heat Trans.-T. Asme. 114(4): 1063–1065
21. J.R. Lloyd E.M. Sparrow 1970 Combined forced and free convection flow on vertical surfaces Int. J. Heat Mass Transfer 13 2 434 438 10.1016/0017-9310(70)90119-5 Lloyd J.R. and Sparrow E.M. (1970). Combined forced and free convection flow on vertical surfaces. Int. J. Heat Mass Transfer 13(2): 434–438
22. E. Magyari I. Pop B. Keller 2003 New similarity solutions for boundary-layer flow on a horizontal surface in a porous medium Transp. Porous Media 51 2 123 140 10.1023/A:1021956427775 Magyari E., Pop I. and Keller B. (2003). New similarity solutions for boundary-layer flow on a horizontal surface in a porous medium. Transp. Porous Media 51(2): 123–140
23. E.W. Mureithi D.P. Mason 2002 On the stability of a forced-free boundary layer flow with viscous heating Fluid Dyn. Res. 31 1 65 78 10.1016/S0169-5983(02)00088-6 Mureithi E.W. and Mason D.P. (2002). On the stability of a forced-free boundary layer flow with viscous heating. Fluid Dyn. Res. 31(1): 65–78
24. P.V.S.N. Murthy P. Singh 1997 Thermal dispersion effects on non-Darcy natural convection over horizontal plate with surface mass flux Arch. Appl. Mech. 67 7 487 495 10.1007/s004190050133 Murthy P.V.S.N. and Singh P. (1997). Thermal dispersion effects on non-Darcy natural convection over horizontal plate with surface mass flux. Arch. Appl. Mech. 67(7): 487–495
25. D.A. Nield 2000 Resolution of paradox involving viscous dissipation and nonlinear drag in a porous medium Transp. Porous Media 41 3 349 357 10.1023/A:1006636605498 Nield D.A. (2000). Resolution of paradox involving viscous dissipation and nonlinear drag in a porous medium. Transp. Porous Media 41(3): 349–357
26. D.A. Nield A. Bejan 1999 Convection in Porous Media Springer New York Nield D.A. and Bejan A. (1999). Convection in Porous Media. Springer, New York
27. D.A Nield A.V. Kuznetsov 2003 Boundary layer analysis of forced convection with a plate and porous substrate Acta Mech. 166 141 148 10.1007/s00707-003-0050-5 Nield D.A and Kuznetsov A.V. (2003). Boundary layer analysis of forced convection with a plate and porous substrate. Acta Mech. 166: 141–148
28. I. Pop D.B. Ingham 2001 Convective Heat Transfer Pergamon Amsterdam Pop I. and Ingham D.B. (2001). Convective Heat Transfer. Pergamon, Amsterdam
29. A. Postelnicu T. Groşan I. Pop 2001 The effect of variable viscosity on forced convection flow past a horizontal flat plate in a porous medium with internal heat generation Mech. Res. Commun. 28 3 331 337 10.1016/S0093-6413(01)00181-1 Postelnicu A., Groşan T. and Pop I. (2001). The effect of variable viscosity on forced convection flow past a horizontal flat plate in a porous medium with internal heat generation. Mech. Res. Commun. 28(3): 331–337
30. R.M. Sonth S.K. Khan M.S. Abel K.V. Prasad 2002 Heat and mass transfer in a visco-elastic fluid flow over an accelerating surface with heat source/sink and viscous dissipation Heat Mass Transfer 38 213 220 10.1007/s002310100271 Sonth R.M., Khan S.K., Abel M.S. and Prasad K.V. (2002). Heat and mass transfer in a visco-elastic fluid flow over an accelerating surface with heat source/sink and viscous dissipation. Heat Mass Transfer 38: 213–220
31. K. Vafai 1984 Convective flow and heat transfer in variable-porosity media J. Fluid Mech. 147 233 259 10.1017/S002211208400207X Vafai K. (1984). Convective flow and heat transfer in variable-porosity media. J. Fluid Mech. 147: 233–259
32. K. Vafai C.L. Tien 1980 Boundary and inertia effects on convective mass transfer in porous media Int. J. Heat Mass Transfer 25 1183 1190 10.1016/0017-9310(82)90212-5 Vafai K. and Tien C.L. (1980). Boundary and inertia effects on convective mass transfer in porous media. Int. J. Heat Mass Transfer 25: 1183–1190
33. K. Vafai C.L. Tien 1981 Boundary and inertia effects on flow and heat transfer in porous media Int. J. Heat Mass Transfer 24 195 203 10.1016/0017-9310(81)90027-2 Vafai K. and Tien C.L. (1981). Boundary and inertia effects on flow and heat transfer in porous media. Int. J. Heat Mass Transfer 24: 195–203
34. K. Vafai R.L. Alkire C.L. Tien 1985 An experimental investigation heat transfer in variable porosity media J. Heat Trans.-T. Asme. 107 3 642 647 10.1115/1.3247472 Vafai K., Alkire R.L. and Tien C.L. (1985). An experimental investigation heat transfer in variable porosity media. J. Heat Trans.-T. Asme. 107(3): 642–647
35. K.A. Yih 1998 Blowing/suction effect on non-Darcy forced convection flow about a flat plate with variable wall temperature in porous media Acta Mech. 131 3–4 255 265 10.1007/BF01177229 Yih K.A. (1998). Blowing/suction effect on non-Darcy forced convection flow about a flat plate with variable wall temperature in porous media. Acta Mech. 131(3–4): 255–265
36. K.A. Yih 1999 MHD forced convection flow adjacent to a non-isothermal wedge Int. Commun. Heat Mass 26 6 819 827 10.1016/S0735-1933(99)00070-6 Yih K.A. (1999). MHD forced convection flow adjacent to a non-isothermal wedge. Int. Commun. Heat Mass 26(6): 819–827