ISSN Online: 2688-7231
ISBN Online: 978-1-56700-478-6
Proceedings of the 24th National and 2nd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2017)
Effects of Hall Current and Rotation on Unsteady MHD Natural Convection Flow Past a Vertical Flat Plate with Ramped Wall Temperature and Heat Absorption
Аннотация
In the present study, the effects of Hall current and rotation on an unsteady Magneto-Hydrodynamic (MHD) free convection heat and mass transfer of an electrically conducting, viscous, incompressible and heat absorbing fluid flow past a vertical infinite flat plate embedded in non-Darcy porous medium is investigated. The flow is induced by a general time-dependent movement of the vertical plate, and the cases of ramped temperature and isothermal plates are studied. Exact solution of the governing time-dependent boundary layer equations for the momentum, energy and concentration were obtained in closed form by using Laplace Transform technique. Expressions for skin friction due to primary and secondary flows and Nusselt number are derived for both ramped temperature and isothermal plates. Expression for Sherwood number is also derived. Some
applications of practical interest for different types of plate
motions viz. plate moving with uniform velocity, plate moving
with uniform acceleration and plate moving with periodic
acceleration are discussed. The numerical values of fluid
velocity, fluid temperature and species concentration are
displayed graphically whereas the numerical values of skin
friction, the Nusselt number and the Sherwood number are
presented in tabular form for various values of pertinent flow
parameters for both ramped temperature and isothermal plates. It is found that the primary fluid velocity decreases with increasing values of Hall current parameter whereas it has reverse effect on secondary fluid velocity, in all types of
motion of plate discussed. The Primary fluid velocity
decreases with the increasing value of rotation parameter
whereas it has reverse effect on secondary fluid velocity. Hall
current tends to reduce the primary skin friction for both
ramped temperature and isothermal plate whereas it has reverse effect on secondary skin friction.