Unsteady Hydromagnetic Natural Convection Flow of a Dusty Fluid Past an Impulsively Moving Vertical Plate With Ramped Temperature in the Presence of Thermal Radiation

Abstract

Unsteady hydromagnetic natural convection boundary layer flow of a viscous, incompressible, and electrically conducting dusty fluid past an impulsively moving vertical plate with ramped temperature in the presence of thermal radiation and transverse magnetic field is studied. Exact solutions of the governing equations for fluid and particle velocities and fluid and particle temperatures are obtained in closed form by Laplace transform technique. To compare the results obtained in this case with that of an isothermal plate, exact solutions of the governing equations are also obtained for an isothermal plate. The expressions for the skin friction and Nusselt number are also derived for both ramped temperature and isothermal plates. Numerical values of fluid and particle velocities and fluid and particle temperatures are displayed graphically for various values of pertinent flow parameters for both ramped temperature and isothermal plates, whereas numerical values of skin friction and Nusselt number for both ramped temperature and isothermal plates are presented in tabular form for pertinent flow parameters.

Heat and Mass Transfer Effects on Unsteady MHD Natural Convection Flow of a Chemically Reactive and Radiating Fluid through a Porous Medium Past a Moving Vertical Plate with Arbitrary Ramped Temperature

“…Mention may be made of the research studies of Rajesh (2010), Samiulhaq et al (2012), Das (2012), Das (2013, 2014), Ahmed and Das (2013a, b), Nandkeolyar et al (2013aNandkeolyar et al ( , 2013b, Narahari and Sulaiman (2013), Das et al (2014), Kundu et al (2014). Recently, Seth et al (2014Seth et al ( , 2015a considered hydromagnetic natural convection heat and mass transfer flow with Hall current past an infinite moving vertical plate with ramped temperature in a rotating medium considering different aspects of the problems.…”

Unsteady Hydromagnetic Heat and Mass Transfer Natural Convection Flow Past an Exponentially Accelerated Vertical Plate With Hall Current and Rotation in the Presence of Thermal and Mass Diffusions

“…Samiulhaq et al (2012) presented an exact analysis of unsteady magnetohydrodynamic flow past an impulsively started vertical plate embedded in a porous medium in the presence of thermal diffusion and ramped wall temperature. Nandkeolyar et al (2013) investigated unsteady hydromagnetic natural convection flow of a dusty fluid past an impulsively moving vertical plate with ramped temperature in the presence of thermal radiation. Kundu et al (2014) considered unsteady MHD free convection mass transfer boundary layer flow of an incompressible electrically conducting fluid past an…”

Biot number effect on MHD flow and heat transfer of nanofluid with suspended dust particles in the presence of nonlinear thermal radiation and non-uniform heat source/sink

“…The heat transfer effects on dusty gas flow past a semiinfinite isothermal inclined plate was analyzed by Palani and Ganesan [27]. Nandkeolyar et al [23] considered the natural convection boundary layer flow of a viscous, incompressible, and electrically conducting dusty fluid past an impulsively moving vertical plate with ramped temperature in the presence of thermal radiation and transverse magnetic field. The problem of two-dimensional mixed convective flow a dusty fluid over a stretching sheet in the presence of thermal radiation and space dependent heat source/sink was investigated by Gireesha et al [10].…”

“…In the above mentioned studies, some of (see [7], [23] and [10]) were confined to the linear approximation for the radiative heat transfer effects which are valid for small temperature differences. It is difficult to construct a system in scientific and engineering applications in which the working fluids will have a small temperature differences.…”