Influence of chemical reaction on heat and mass transfer of non-Newtonian fluid with yield stress by free convection from vertical surface in porous medium considering Soret effect

Applied Mathematics and Mechanics (English Edition)

Volumn 31, Issue 6, 2010, Pages 675-684

  Ibrahim, F S ^a   Hady, F M ^a   Abdel Gaied, S M ^b   Eid, M R ^b  

^a Assiut University   (Egypt)

^b NEW VALLEY UNIVERSITY   (Egypt)

Author keywords

Chemical reaction; Free convection; Non newtonian fluid; Soret effect; Yield stress

Indexed keywords

BOUNDARY LAYER EQUATIONS; BUOYANCY RATIO; CHEMICAL REACTION PARAMETERS; CONCENTRATION PROFILES; EFFECT OF CHEMICALS; FLUID-SATURATED POROUS MEDIUM; FREE CONVECTIONS; HEAT AND MASS TRANSFER; LEWIS NUMBERS; NON-NEWTONIAN FLUIDS; NON-NEWTONIAN POWER-LAW FLUIDS; POROUS MEDIUM; RHEOLOGICAL PARAMETER; SHERWOOD NUMBERS; SIMILARITY TRANSFORMATION; SORET EFFECT; SORET EFFECTS; SYSTEM OF EQUATIONS; VERTICAL FLAT PLATES; VERTICAL SURFACE;

CHEMICAL REACTIONS; FLOW MEASUREMENT; FLUIDS; HEAT TRANSFER; MASS TRANSFER; NATURAL CONVECTION; NEWTONIAN FLOW; NON NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS; POROUS MATERIALS; POROUS PLATES; RHEOLOGY; VELOCITY MEASUREMENT; VISCOUS FLOW;

YIELD STRESS;

EID: 77954879824     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-010-1302-9     Document Type: Article

References (34)

1. Kandasamy, R. and Anjalidevi, S. P. Effects of chemical reaction, heat and mass transfer on nonlinear laminar boundary-layer flow over a wedge with suction or injection. Comput. Appl. Mech. 5, 21-31 (2004)
2. Takhar, H. S., Chamkha, A. J., and Nath, G. Flow and mass transfer on a stretching sheet with a magnetic field and chemically reactive species. Int. J. Eng. Sci. 38, 1303-1314 (2000)
3. Chamkha, A. J. MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and chemical reaction. Int. Comm. Heat Mass Transfer 30, 413-422 (2003)
4. Muthucumaraswamy, R. and Ganesan, P. Natural convection on a moving isothermal vertical plate with chemical reaction. Eng. Phys. Thermophys. 75, 113-119 (2002)
5. Muthucumaraswamy, R. Effects of a chemical reaction on a moving isothermal vertical surface with suction. Acta Mech. 155, 65-70 (2002)
6. Muthucumaraswamy, R. Effects of chemical reaction on moving isothermal vertical plate with variable mass diffusion. Theoret. Appl. Mech. 30, 209-220 (2003)
7. Yih, K. A. Coupled heat and mass transfer by free convection over a truncated cone in porous media: VWT/VWC or VHF/VMF. Acta Mech. 137, 83-97 (1999)
8. Singh, P. and Queeny, K. Free convection heat and mass transfer along a vertical surface in a porous medium. Acta Mech. 123, 69-73 (1997)
9. Muthucumaraswamy, R. and Kulandaivel, T. Chemical reaction effects on moving infinite vertical plate with uniform heat flux and variable mass diffusion. Forschung im Ingenieurwesen 68 (2), 101-104 (2003)
10. Kandasamy, R., Periasamy, K., and Prabhu, K. K. S. Effects of chemical reaction, heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection. Int. J. Heat Mass Transfer 48, 1388-1394 (2005) (Pubitemid 40231262)
11. Kandasamy, R., Periasamy, K., and Prabhu, K. K. S. Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects. Int. J. Heat Mass Transfer 48, 4557-4561 (2005) (Pubitemid 41168448)
12. Abreu, C. R. A., Alfradique, M. F., and Telles, A. S. Boundary layer flows with Dufour and Soret effects I: forced and natural convection. Chem. Eng. Sci. 61 (13), 4282-4289 (2006)
13. Cheng, C. Y. An integral approach for hydromagnetic natural convection heat and mass transfer from vertical surfaces with power-law variation in wall temperature and concentration in porous media. Int. Comm. Heat Mass Transfer 32, 204-213 (2005)
14. Postelnicu, A. Influence of chemical reaction on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. Heat and Mass Transfer 43, 595-602 (2007)
15. Ibrahim, F. S., Elaiw, A. M., and Bakr, A. A. Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi infinite vertical permeable moving plate with heat source and suction. Comm. Nonlinear Sci. Numer. Simul. 13 (6), 1056-1066 (2008)
16. Rastogi, S. K. and Poulikakos, D. Double-diffusion from a vertical surface in a porous region saturated with a non-Newtonian. Int. J. Heat Mass Transfer 38, 935-946 (1995)
17. Prasad, K. V., Abel, S., and Datti, P. S. Diffusion of chemically reactive species of a non-Newtonian fluid immersed in a porous medium over a stretching sheet. Int. J. Non-Linear Mech. 3, 651-657 (2003)
18. Eldabe, N. T., El-Saka, A. G., and Fouad, A. Thermal-diffusion and diffusion-thermo effects on mixed free-forced convection and mass transfer boundary layer flow for non-Newtonian fluid with temperature dependent viscosity. Appl. Math. Comput. 152, 867-883 (2004)
19. Elperin, T., Fominykh, A., and Orenbakh, Z. Mass transfer with heterogeneous chemical reaction in a Glauert flow of non-Newtonian fluid. Int. J. Heat Mass Transfer 47, 3573-3576 (2004)
20. Abo-Eldahab, E. M. and Salem, A. M. MHD flow and heat transfer of non-Newtonian power-law fluid with diffusion and chemical reaction on a moving cylinder. Heat and Mass Transfer 41, 703-708 (2005)
21. Hayat, T., Abbas, Z., and Sajid, M. Heat and mass transfer analysis on the flow of a second grade fluid in the presence of chemical reaction. Phys. Lett. A 372, 2400-2408 (2008)
22. Patil, P. M., and Kulkarni, P. S. Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation. Int. J. Thermal Sci. 47, 1043-1054 (2008)
23. Barnes, H. A., and Walters, K. The yield stress myth. Rheol. Acta 24, 323-326 (1985)
24. Zhang, J., Vola, D., and Frigaard, I. A. Yield stress effects on Rayleigh-Bénard convection. J. Fluid Mech. 566, 389-419 (2006)
25. Christensen, R. M. Observations on the definition of yield stress. Acta Mech. 196, 239-244 (2008)
26. Jumah, R. Y. and Mujumdar, A. S. Free convection heat and mass transfer of non-Newtonian power law fluids with yield stress from a vertical flat plate in saturated porous media. Int. Comm. Heat Mass Transfer 27, 485-494 (2000)
27. Zhu, H., Kim, Y. D., and De Kee, D. Non-Newtonian fluids with a yield stress. Non-Newtonian Fluid Mech. 129, 177-181 (2005)
28. Zhu, H. and De Kee, D. A numerical study for the cessation of Couette flow of non-Newtonian fluids with a yield stress. Non-Newtonian Fluid Mech. 143, 64-70 (2007)
29. Merrill, E. W., Cheng, C. S., and Pelletier, G. A. Yield stress of normal human blood as a function of endogenous fibrinogen. J. Appl. Physiol. 26, 1-3 (1969)
30. Lemaire, E. and Bossis, G. Yield stress and wall effects in magnetic colloidal suspensions. J. Phys. D: Appl. Phys. 24, 1473-1477 (1991)
31. Boissy, C., Wu, C. W., Fahmy, Y., and Conrad, H. Experimental study of the yield stress of electrorheological suspensions under AC field: comparison with a theoretical model. Int. J. Modern Phys. 13, 1775-1782 (1999)
32. Curran, S. J., Hayes, R. E., Afacan, A., and Williams, M. C. Experimental mixing study of a yield stress fluid in a laminar stirred tank. Ind. Eng. Chem. Res. 39 (1), 195-202 (2000)
33. Ko, Y. G., Choi, U. S., and Sung, B. H. Chemical structure designing to enhance the yield stress of electrorheological fluids based on modified chitosan compounds. J. Appl. Polym. Sci. 93 (4), 1559-1566 (2004)
34. Nigen, S. Experimental investigation of the impact of an (apparent) yield-stress material. J. Atomiz. Sprays 15 (1), 103-118 (2005)