Mixed convection flow by a porous sheet with variable thermal conductivityand convective boundary condition

Brazilian Journal of Chemical Engineering

Volumn 31, Issue 1, 2014, Pages 109-117

  Hayat, T ^a,b   Shehzad, S A ^a   Qasim, M ^c   Alsaedi, A ^b  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^c Department of Mathematics Comsats Institute of Information Technology ^*  (Pakistan)

Author keywords

Convective boundary condition; MHD flow; Variable thermal conductivity

Indexed keywords

BOUNDARY CONDITIONS; MAGNETOHYDRODYNAMICS; MIXED CONVECTION;

APPLIED MAGNETIC FIELDS; CONVECTIVE BOUNDARY CONDITIONS; LOCAL NUSSELT NUMBER; MHD FLOW; MIXED CONVECTION FLOW; SKIN-FRICTION COEFFICIENT; TEMPERATURE PROFILES; VARIABLE THERMAL CONDUCTIVITY;

THERMAL CONDUCTIVITY;

EID: 84899984774     PISSN: 01046632     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0104-66322014000100011     Document Type: Article

References (25)

1. Abbasbandy, S. and Shivanian, E., Prediction of multiplicity of solutions of nonlinear boundary value problems: Novel application of homotopy analysis method. Commun. Nonlinear Sci. Numer.Simulat., 15, p. 3830 (2010).
2. Abbasbandy, S. and Shivanian, E., Predictor homotopy analysis method and its application to some nonlinear problems. Commun. Nonlinear Sci. Numer.Simulat., 16, p. 2456 (2011).
3. Aziz, A., A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition. Commun. NonlinearSci. Numer. Simulat., 14, p. 1064 (2009).
4. Bhattacharyya, K. and Layek, G. C., Effects of suction/blowing on steady boundary layer stagnation- point flow and heat transfer towards a shrinking sheet with thermal radiation. Int. J.Heat Mass Transfer, 54, p. 302 (2011).
5. Chiam, T. C., Heat transfer in a fluid with variable thermal conductivity over stretching sheet. Acta Mechanica, 129, p. 63 (1998).
6. Chiam, T. C., Heat transfer with variable conductivity in a stagnation-point flow towards a stretching sheet. Int. Commun. Heat Mass Transfer, 32, p. 239 (1996).
7. Fang, T., Zhang, J. and Yao, S., Slip MHD viscous flow over a stretching sheet-An exact solution. Commun. Nonlinear Sci. Numer. Simulat., 14, p. 3731 (2009).
8. Hashim, I., Abdulaziz, O. and Momani, S., Homotopy analysis method for fractional IVPs. Commun. Nonlinear Sci. Numer. Simulat., 14,p. 674 (2009).
9. Hayat, T. and Qasim, M., Effects of thermal radiation on unsteady magnetohydrodynamic flow of a micropolar fluid with heat and mass transfer. Z Naturforsch A., 64, p. 950 (2010).
10. Hayat, T. and Qasim, M., Influence of thermal radiation and Joule heating on MHD flow of a Maxwell fluid in the presence of thermophoresis. Int. J. Heat Mass Transfer, 53, p. 4780 (2010).
11. Hayat, T., Qasim, M. and Abbas, Z., Radiation and mass transfer effects on the magnetohydrodynamic unsteady flow induced by a stretching sheet. Z Naturforsch A. 64, p. 231 (2010).
12. Hayat, T., Shehzad, S. A., Qasim, M. and Obaidat, S., Radiative flow of Jeffery fluid in a porous medium with power law heat flux and heat source. Nuclear Eng. Design, 243, p. 15 (2012).
13. Hayat, T., Shehzad, S. A., Qasim, M. and Obaidat, S., Thermal radiation effects on the mixed convection stagnation-point flow in a Jeffery fluid. Z Naturforsch A. 66, p. 606 (2011).
14. Ishak, A., Thermal boundary layer flow over a stretching sheet in a micropolar fluid with radiation effect. Meccanica, 45, p. 367 (2010).
15. Ishak, A., Yacob, N. A. and Bachok, N., Radiation effects on the thermal boundary layer flow over a moving plate with convective boundary condition.Meccanica, 46, p. 795 (2011).
16. Kechil, S. A. and Hashim, I., Approximate analytical solution for MHD stagnation-point flow in porous media. Commun. Nonlinear Sci. Numer. Simulat., 14, p. 1346 (2009).
17. Liao, S. J., Beyond Perturbation: Introduction to Homotopy Analysis Method. Chapman and Hall, CRC Press, Boca Raton (2003).
18. Liao, S. J., On the homotopy analysis method for nonlinear problems. Appl. Math. Comput., 147, p. 499 (2004).
19. Sakiadis, B. C., Boundary-layer behavior on continuous solid surface: I. Boundary-layer equations for two-dimensional and axisymmetric flow. AIChEJ., 7, p. 26 (1961).
20. Salleh, M. Z., Nazar, R. and Pop, I., Boundary layer flow and heat transfer over a stretching sheet with Newtonian heating. J. Taiwan Institute Chem. Engin., 41, p. 651 (2010).
21. Sharma, P. R. and Singh, G., Effects of variable thermal conductivity and heat source/sink on MHD flow near a stagnation point on a linearlystretching sheet. J. Appl. Fluid Mech., 2, p. 15(2008).
22. Tsai, R. and Huang, J. S., Numerical study of Soret and Dufour effects on heat and mass transfer from natural convection flow over a vertical porous medium with variable wall heat fluxes. Comput. Materials Sci., 47, p. 23 (2009)
23. Vyas, P. and Rai, A., Radiative flow with variable thermal conductivity over a non-isothermal stretching sheet in a porous medium. Int. J. Contemp.Math. Sciences, 5, p. 2685 (2010).
24. Yao, B. and Chen, J., Series solution to the Falkner- Skan equation with stretching boundary. Applied Math. Comput., 208, p. 156 (2009).
25. Yao, S., Fang, T. and Zhong, Y., Heat transfer of a generalized stretching/shrinking wall problemwith convective boundary conditions. Commun. Nonlinear Sci. Numer. Simulat., 16, p. 752 (2011).