Homotopy Analysis Solution of Hydromagnetic Mixed Convection Flow Past an Exponentially Stretching Sheet with Hall Current
The effect of thermal radiation on steady hydromagnetic heat transfer by mixed convection flow of a viscous incompressible and electrically conducting fluid past an exponentially stretching continuous sheet is examined. Wall temperature and stretching velocity are assumed to vary according to specif...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2012-01-01
|
Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2012/454023 |
Summary: | The effect of thermal radiation on steady hydromagnetic heat transfer by mixed
convection flow of a viscous incompressible and electrically conducting fluid past an
exponentially stretching continuous sheet is examined. Wall temperature and stretching velocity are assumed to vary according to specific exponential forms. An external
strong uniform magnetic field is applied perpendicular to the sheet and the Hall effect
is taken into consideration. The resulting governing equations are transformed into a
system of nonlinear ordinary differential equations using appropriate transformations
and then solved analytically by the homotopy analysis method (HAM). The solution
is found to be dependent on six governing parameters including the magnetic field parameter M, Hall parameter m, the buoyancy parameter ξ, the radiation parameter
R, the parameter of temperature distribution a, and Prandtl number Pr. A systematic
study is carried out to illustrate the effects of these major parameters on the velocity
and temperature distributions in the boundary layer, the skin-friction coefficients, and
the local Nusselt number. |
---|---|
ISSN: | 1024-123X 1563-5147 |