Heat and mass transfer on a MHD third grade fluid with partial slip flow past an infinite vertical insulated porous plate in a porous medium

International Journal of Heat and Fluid Flow

Volumn 40, Issue , 2013, Pages 81-88

  Baoku, I G ^a   Olajuwon, B I ^b   Mustapha, A O ^b  

^a BELLS UNIVERSITY OF TECHNOLOGY   (Nigeria)

^b FEDERAL UNIVERSITY OF AGRICULTURE   (Nigeria)

Author keywords

Heat and mass transfer; Insulated plate; Magnetohydrodynamic flow; Partial slip; Porous medium; Third grade fluid

Indexed keywords

HEAT AND MASS TRANSFER; INSULATED PLATE; MAGNETO-HYDRODYNAMIC FLOW; PARTIAL SLIP; POROUS MEDIUM; THIRD GRADE FLUIDS;

BOUNDARY CONDITIONS; BOUNDARY LAYER FLOW; BOUNDARY LAYERS; HEAT TRANSFER; MASS TRANSFER; POROUS MATERIALS; POROUS PLATES;

MAGNETOHYDRODYNAMICS;

EID: 84875069091     PISSN: 0142727X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatfluidflow.2013.01.016     Document Type: Article

References (26)

1. Abelman S., Momoniat E., Hayat T. Couette flow of a third grade with rotating frame and slip condition. Nonlinear Anal.: Real World Appl. 2009, 10:3329-3334.
2. Andersson H.I. Slip flow past a stretching surface. Acta Mech. 2002, 158:121-125.
3. Ariel P.D. The flow of a viscoelastic fluid past a porous plate. Acta Mech. 1994, 107:199-204.
4. Ariel P.D. Transient flow of third grade fluid over a moving plate. Int. J. Comput. Methods Eng. Mech. 2007, 8:107-133.
5. Ashgar S., Khalique C.M., Ellahi R. Influence of a partial slip on flows of a second grade fluid in a porous medium. J. Porous Media 2007, 10(8):797-805.
6. Chang Man Fong C.F., Kaloni P.N., De kee D. Comments on the solutions of boundary value problems in non-Newtonian fluid mechanics. Acta Mech. 1996, 115:231-237.
7. Das S.S., Tripathy U.K., Das J.K. Hydromagnetic convection flow past a vertical porous plate through a porous medium with suction and heat source. Int. J. Energy Environ. 2010, 1(3):467-478.
8. Ellahi R., Hameed M. Numerical analysis of steady flows with heat transfer, MHD and nonlinear slip effects. Int. J. Numer. Methods Heat Fluid Flow 2012, 22(1):24-38.
9. Ellahi R., Ariel P.D., Hayat T., Asghar S. Effect of heat transfer on a third grade fluid in a flat channel. Int. J. Numer. Method Fluids 2010, 63(7):847-859.
10. Ellahi R., Shivanian E., Abbasbandy S., Rahman S.U., Hayat T. Analysis of steady flows in viscous fluid with heat/mass transfers and slip effects. Int. J. Heat Mass Transfer 2012, 55:6384-6390.
11. Fosdick R.L., Rajagopal K.R. Thermodynamics and stability of fluids of third grade. Proc. Roy. Soc. Lond. 1980, A339:351-377.
12. Hayat T., Farooq M.A., Javed T., Sajid M. Partial slip effects on the flow and heat transfer characteristics in a third grade fluid. Nonlinear Anal.: Real World Appl. 2009, 10(2):745-755. 10.1016/j.nonrwa.2007.11.001.
13. Heck A. Introduction to Maple 2003, Springer-Verlag, Germany. third ed.
14. Khan A.A., Ellahi R., Usman M. The effects of variable viscosity on the peristaltic flow of non-Newtonian fluid through a porous medium in an inclined channel with slip boundary conditions. J. Porous Media 2013, 16(1):797-805.
15. Maneschy C.E., Massoudi M., Ghoneimy A. Heat transfer analysis of a non-Newtonian fluid past a porous plate. Int. J. Non-Linear Mech. 1993, 28:131-143.
16. Mansutti D., Pontrelli G., Rajagopal K.R. Steady flows of non-Newtonian fluids past a porous plate with suction or injection. Int. J. Numer. Meth. Fluids 1993, 17:927-941.
17. Navier C.L.M.H. Sur les lois du mouvement des fluides. Mem. Acad. R. Sci. Inst. Fr. 1827, 6:389-440.
18. Olajuwon B.I. Convection heat and mass transfer in a hydromagnetic flow of a second grade fluid in the presence of thermal radiation and thermal diffusion. Int. Commun. Heat Mass Transfer 2011, 38(3):377-382.
19. Rajapogal K.R., Szeri A.Z., Troy W. An existence theorem for the flow of a non-Newtonian fluid past an infinite porous plate. Int. J. Non-Linear Mech. 1986, 21:279-289.
20. Rivlin R.S., Ericksen J.L. Stress deformation relation for isotropic materials. J. Rat. Mech. Anal. 1955, 4:323-425.
21. Sahoo B. Flow and heat transfer of a non-Newtonian fluid past a stretching sheet with partial slip. Commun. Nonlinear Sci. Numer. Simulat. 2010, 15:602-615.
22. Sahoo B. Effects of partial slip on axisynmetric flow of an electrically conducting viscoelastic fluid past a stretching sheet. Cent. Euro. J. Phys. 2010, 8:498-508.
23. Sahoo B. Flow and heat transfer of an electrically conducting third grade fluid past an infinite plate with partial slip. Meccanica 2010, 45(3):319-330. 10.1007/s11012-009-9253-8.
24. Sahoo B., Do Y. Effects of slip on sheet-driven flow and heat transfer of a third grade fluid past a stretching sheet. Int. Commun. Heat Mass Trans. 2010, 37:1064-1071. 10.1016/J.icheatmasstransfer.2010.06.018.2010.
25. Sajid M., Mahmood R., Hayat T. Finite element solution for flow of a third grade fluid past a horizontal porous plate with partial slip. Comput. Math. Appl. 2008, 56(5):1236-1244. 10.1016/j.camwa.2008.02.025.
26. Truesdell C., Noll W. The Nonlinear Field Theories of Mechanics 2004, Springer, Berlin. third ed.