Effect of viscous dissipation on hydromagnetic fluid flow and heat transfer in a porous medium at an exponentially stretching sheet with fluid-particle suspension

被引：4

作者：

Pavithra G.M. ^{[1
]}

Gireesha B.J. ^{[1
]}

机构：

[1] Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka

来源：

Afrika Matematika | 2015年 / 26卷 / 3-4期

关键词：

Exponentially stretching sheet; Fluid-particle suspension; Heat transfer; Hydromagnetic fluid flow; Porous medium; Viscous dissipation;

D O I：

10.1007/s13370-013-0214-y

中图分类号：

学科分类号：

摘要：

The effect of viscous dissipation on magnetohydrodynamic boundary layer flow and heat transfer of a dusty fluid in a porous medium over an exponentially stretching sheet was studied numerically. The stretching velocity and wall temperature are assumed to vary according to specific exponential forms. The system of equations governing the flow and temperature are reduced to system of coupled nonlinear ordinary differential equations using suitable similarity transformations. An effective numerical method like Runge–Kutta–Fehlberg 45 is used to solve the obtained differential equations. The heat transfer analysis is carried out for two heating process, namely (i) prescribed exponential order surface temperature and (ii) prescribed exponential order heat flux. The effects of flow parameters such as fluid-particle interaction parameter, magnetic parameter, permeability parameter, suction parameter, Prandtl number and Eckert number on the flow field and heat transfer characteristics were obtained and discussed in detail. Under the limiting cases a comparison of present results with existing one was made and found to be in good agreement. © 2013, African Mathematical Union and Springer-Verlag Berlin Heidelberg.

引用

页码：419 / 432

页数：13

共 27 条

[1]

Sakiadis B.C., Boundary layer behaviour on continuous solid surface I. Boundary-layer equations for two dimensional and axisymmetric flow, AIChE J., 7, 1, pp. 26-28, (1961)

[2]

Sakiadis B.C., Boundary layer behaviour on continuous solid surface II, boundary layer behaviuor on continuous flat surface, AIChE J., 7, 1, pp. 221-235, (1961)

[3]

Crane L.J., Flow past a stretching plate, Z. Angew. Math. Phy., 21, 4, pp. 645-647, (1970)

[4]

Grubka L.J., Bobba K.M., Heat transfer characteristics of a continuous, stretching surface with variable temperature, ASME J. Heat Transf., 107, pp. 248-250, (1985)

[5]

Vajravelu K., Convection heat transfer at a stretching sheet with suction or blowing, J Math. Anal. Appl., 188, 3, pp. 1002-1011, (1994)

[6]

Anjali Devi S.P., Thiyagarajan M., Steady nonlinear hydromagnetic flow and heat transfer over a stretching surface of variable temperature, Heat Mass Transf., 42, pp. 671-677, (2006)

[7]

Aman F., Ishak A., Nazar R., Boundary layer flow and heat transfer adjacent to a stretching vertical sheet with prescribed surface heat flux, Matematika, 26, 2, pp. 197-206, (2010)

[8]

Tamayol A., Hooman K., Bahrami M., Thermal analysis of flow in a porous medium over a permeable stretching wall, Transp. Porous Media, 85, 3, pp. 661-676, (2010)

[9]

Chauhan D.S., Agrawal R., MHD flow through a porous medium adjacent to a stretching sheet: Numerical and an approximate solution, Eur. Phys. J. Plus, 126, 47, (2011)

[10]

Cortell R., Combined effect of viscous dissipation and thermal radiation on fluid flows over a non-linearly stretched permeable wall, Meccanica, 47, pp. 769-781, (2012)

← 1 2 3 →