Thermal diffusion effect on unsteady MHD free convective flow past an impulsively started but temporarily accelerated semi‐infinite vertical plate with parabolic ramped conditions

The purpose of the present study is to analyze the problem of a free convective MHD flow of incompressible, electrically conducting, and viscous fluid past an impulsively started semi‐infinite moving vertical plate. The fluid is considered to be non‐gray and optically thick. The parabolic ramped temperature of the plate and thermodiffusion effect are also taken into account. A magnetic field having uniform strength is applied in the transverse direction to the fluid velocity. Solutions of dimensionless governing partial differential equations are attained on the adoption of the closed‐form Laplace transformation technique. Effects of different flow parameters on the velocity field, temperature field, concentration field, Nusselt number, skin friction, and Sherwood Number are discussed graphically. It is noticed that fluid concentration, temperature, and velocity decline considerably for ascending values of Prandtl Number. Increasing Ramped parameter hikes the Nusselt number and Sherwood Number but declines skin friction.

[1]  B. Kumbhakar,et al.  Hall current and thermo-diffusion effects on magnetohydrodynamic convective flow near an oscillatory plate with ramped type thermal and solutal boundary conditions , 2021, Indian Journal of Physics.

[2]  B. Kumbhakar,et al.  Unsteady MHD free convective flow past a permeable vertical plate with periodic movement and slippage in the presence of Hall current and rotation , 2020 .

[3]  Ali J. Chamkha,et al.  MHD Double Diffusive Natural Convection Flow Over Exponentially Accelerated Inclined Plate , 2017 .

[4]  S. Sarkar,et al.  Soret and Hall effects on unsteady MHD free convection flow of radiating and chemically reactive fluid past a moving vertical plate with ramped temperature in rotating system , 2016 .

[5]  Rohit Sharma,et al.  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 , 2016 .

[6]  K. Naikoti,et al.  Radiation effects on unsteady MHD convective heat and mass transfer past a vertical plate with chemical reaction and viscous dissipation , 2015 .

[7]  N. Ahmed,et al.  Analytical Analysis of Magneto-hydrodynamic (MHD) Transient Flow Past a Suddenly Started Infinite Vertical Plate With Thermal Radiation and Ramped Wall Temperature , 2014 .

[8]  M. Reddy,et al.  Unsteady MHD Mixed Convection Flow past a Vertical Porous Plate in Presence of Radiation , 2012 .

[9]  N. Ahmed.  Soret and Radiation Effects on Transient MHD Free Convection From an Impulsively Started Infinite Vertical Plate , 2012 .

[10]  N. Ahmed.  MHD convection with Soret and Dufour effects in a three-dimensional flow past an infinite vertical porous plate , 2010 .

[11]  A. Kaya,et al.  Radiation effect on MHD mixed convection flow about a permeable vertical plate , 2008 .

[12]  Abdus Samad,et al.  Thermal Radiation Interaction with Unsteady MHD Flow Past a Vertical Porous Plate Immersed in a Porous Medium , 2008 .

[13]  A. Ogulu,et al.  Unsteady MHD free convective flow of a compressible fluid past a moving vertical plate in the presence of radiative heat transfer , 2007 .

[14]  R. Muthucumaraswamy,et al.  Transient radiative hydromagnetic free convection flow past an impulsively started vertical plate with uniform heat and mass flux , 2006 .

[15]  Oluwole Daniel Makinde,et al.  Free convection flow with thermal radiation and mass transfer past a moving vertical porous plate , 2005 .

[16]  A. Postelnicu,et al.  Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects , 2004 .

[17]  K. A. Helmy.  MHD Unsteady Free Convection Flow past a Vertical Porous Plate , 1998 .

[18]  H. Takhar,et al.  Short communication radiation effects on MHD free convection flow of a gas past a semi—infinite vertical plate , 1996 .

[19]  E. Williams,et al.  Thermal-diffusion and diffusion-thermo effects on mixed free-forced convective and mass transfer boundary layer flow with temperature dependent viscosity , 1995 .

[20]  Md.Anwar Hossain,et al.  MHD forced and free convection boundary layer flow near the leading edge , 1990 .

[21]  A. Raptis,et al.  MHD free convection flow past an accelerated vertical plate , 1983 .

[22]  E. Eckert,et al.  Analysis of heat and mass transfer , 1971 .

[23]  L. Talbot,et al.  An introduction to magneto-fluid mechanics , 1962 .