Effects of thermal radiation and space porosity on MHD mixed convection flow in a vertical channel using homotopy analysis method

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 8, 2010, Pages 2098-2108

  Srinivas, S ^a   Muthuraj, R ^a  

^a VIT UNIVERSITY   (India)

Author keywords

Homotopy analysis method; Magnetic field; Mixed convection; Porous medium; Radiation parameter

Indexed keywords

HEAT CONDUCTION; HEAT RADIATION; MAGNETOHYDRODYNAMICS; MIXED CONVECTION; RADIATION EFFECTS;

ANALYSIS METHOD; FLOWTHROUGH; HOMOTOPY ANALYSE METHOD; HOMOTOPY ANALYSIS; MAGNETIC-FIELD; MIXED CONVECTION FLOW; POROUS MEDIUM; POROUS SPACE; RADIATION PARAMETERS; VERTICAL CHANNELS;

POROUS MATERIALS;

EID: 76049104659     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.09.003     Document Type: Article

References (33)

1. Aung W. Mixed convection in internal flow. In: Kakac S., Shah R.K., and Aung W. (Eds). Hand book of single phase convective heat transfer (1987), Wiley, New York [Chapter15]
2. Rohsenow W.M., Hartnett J.P., and Cho Y.I. Handbook of heat transfer (1998), McGraw-Hill, New York
3. Tao L.N. On combined free and forced convection in channels. ASME J Heat Transfer 82 (1960) 233-238
4. Aung W., and Worku G. Mixed convection in ducts with asymmetric wall heat fluxes. ASME J Heat Transfer 109 (1987) 947-951
5. Cheng C.H., Huag H.S., and Huang W.H. Flow reversal and heat transfer of fully developed mixed convection in vertical channels. J Thermo Phys, Heat Transfer 4 (1990) 375-383
6. Hamadah T.T., and Wirtz R.A. Analysis of laminar fully developed mixed convection in a vertical channel with opposing buoyancy. ASME J Heat Transfer 113 (1991) 507-510
7. Barletta A. Laminar mixed convection with viscous dissipation in a vertical channel. Int J Heat Mass Transfer. 41 (1998) 3873-3885
8. Barletta A. Heat transfer by fully developed flow and viscous heating in a vertical channel with prescribed wall heat fluxes. Int J Heat Mass transfer 42 (1999) 3501-3513
9. Chamkha Ali.J., Grosan T., and Pop I. Fully developed free convection of a micropolar fluid in a vertical channel. Int Commun Heat Mass Transfer 29 (2002) 1119-1127
10. Umavathi J.C., Prathap kumar J., Chamha A.J., and Pop I. Mixed convection in a porous channel. Trans Porous Med 61 (2005) 315-335
11. Prathap kumar J, Umavathi JC, Pop I, Biradar BM. Fully developed mixed convection flow in a vertical channel containing porous and fluid layer with isothermal or iso flux boundaries, Trans Porous Med. Doi 10.1007/s11242-009-9347- 8.
12. Pop I., Grosan T., and Cornelia R. Effect of heat generated by an exothermic reaction on the fully developed mixed convection flow in a vertical channel. Commun Non linear Sci Numer Simul (2009)
13. Umavathi J.C., and Malashetty M.S. Magnetohydrodynamic mixed convection in a vertical channel. Int J Non-linear Mech 40 (2005) 91-101
14. Srinivas S., and Kothandapani M. The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls. Appl Math Comput 213 (2009) 197-208
15. Zueco J., Eguia P., Lopez-Ochoa L.M., Collazo J., and Patino D. Unsteady MHD free convection of a micro polar fluid between two parallel porous vertical walls with convection from the ambient. Int Commun Heat Mass Transfer 36 (2009) 203-209
16. Grosan T., and Pop I. Thermal radiation effect on fully developed mixed convection flow in a vertical channel. Tech Mech 1 (2007) 37-47
17. Khaefinejad B., and Aghanajafi C. Laminar flow with simultaneously effects of mixed convection and thermal radiation in a channel. J Fusion Energy 28 (2009) 83-90
18. Murthy P.V.S.N., Mukherjee S., Srinivascharya D., and Krishna P.V.S.S.S.R. Combined radiation and mixed convection from a vertical wall with suction/injection in a non-Darcy porous medium. Acta Mech 168 (2004) 145-156
19. Hayat T., Abbas Z., Sajid M., and Asghar S. The influence of thermal radiation on MHD flow of a second grade fluid. Int J Heat Mass Transfer 50 (2007) 931-941
20. Pal D., and Mondal H. Radiation effects on combined convection over a vertical flat plate embedded in a porous medium of variable porosity. Meccanica 44 (2009) 133-144
21. Raptis A., Massias C., and Tzivanidis G. Hydro magnetic free convection flow through a porous medium between two parallel plates. Phys Lett 90A (1982) 288-289
22. Aldoss T.K., Al-Nimr M.A., Jarrah M.A., and Al-Sha'er B.J. Magneto hydrodynamic mixed convection from a vertical plate embedded in a porous medium. Numer Heat Transfer 28A (1995) 635-645
23. Chamkha Ali.J., and Ben-Naki A. MHD mixed convection-radiation interaction along a permeable surface immersed in a porous medium in the presence of Soret and Dufour's effects. Heat Mass Transfer 44 (2008) 845-856
24. Liao S.J. Beyond perturbation: Introduction to homotopy analysis method (2003), Chapman& Hall/CRC press, Boca Raton Flordia
25. Liao S.J. On the homotopy analysis method for non linear problems. Appl Math Comput 147 (2004) 499-513
26. Liao S.J. On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet. J Fluid Mech 488 (2003) 189-212
27. Hayat T., Khan M., and Ayub M. On the explicit analytic solutions of an Oldroyd 6-constant fluid. Int J Eng Sci 42 (2004) 213-232
28. Hayat T., Khan M., and Asghar S. Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid. Acta Mech 168 (2004) 213-231
29. Wu W., and Liao S.J. Solving solitary waves with discontinuity by mean of the homotopy anyalysis method. Chaos Soliton Fract 26 (2005) 177-185
30. He J.H., and Shou D.H. Application of parameter-expanding method to strongly nonlinear oscillators. Int J Non-Linear Sci Numer Simul 8 (2007) 121-124
31. Zhu J., Zheng L., and Zhang X. Analytical solution to stagnation-point flow and heat transfer over a stretching sheet based on homotopy analysis. Appl Math Mech 30 (2009) 463-474
32. Baytas A.C., Liaqat A., Grosan T., and Pop I. Conjugate natural convection in a square porous cavity. Heat Mass Transfer 37 (2001) 467-473
33. J Liao S. Notes on Homotopy analysis method: some definitions and theorems. Commun Nonlinear Sci Numer Simul 14 (2009) 983-997