Analytical Solution to The Problem of MHD Free Convective Flow of An Electrically Conducting Fluid Between Two Heated Parallel Plates In The Presence of An Induced Magnetic Field

International Journal of Applied Mathematics and Computation

Krishna Gopal Singha¹ 

[1] Karanga Girls’ H.S.S. Karanga, Assam – 785008, India$$

关键词: Induced magnetic field;    incompressible;    conducting fluid;    skin friction;    Hartmann number;   

DOI  :  10.0000/ijamc.2009.1.4.39

来源: PSIT Kanpur

【 摘 要 】

An unsteady viscous  incompressible free convective flow of an electrically conducting fluid between two  heated  parallel  plates  horizontally  is  considered  under  the  action  of  a  magnetic  field  applied transversely to the flow. The induce field is produced along the lines of motion which varies transversely to the flow and the fluid temperature changing with time. Analytical solutions for velocity, induced magnetic field,  the  temperature  distributions  and  heat  transfer  are  obtained.  Graphical  results  for  the  velocity distribution of  the  fluid,  the magnetic  field  and  the  rate of heat  transfer  are  illustrated  and discussed  for various  values  of  non-dimensional  physical  parameters.  The  skin  friction  on  the  two  plates  are  also obtained and plotted. It has been observed that the skin-friction first increases then gradually decreases with the increase of M, the Hartmann number at y= ±1 .

【 授权许可】

Unknown