Effect of hall current on MHD natural convection heat and mass transfer flow of rotating fluid past a vertical plate with ramped wall temperature

被引:31
作者
Seth G.S. [1 ]
Bhattacharyya A. [1 ]
Tripathi R. [1 ]
机构
[1] Department of Applied Mathematics, Indian Institute of Technology, Indian School of Mines, Dhanbad, 826004, Jharkhand
来源
Frontiers in Heat and Mass Transfer | 2017年 / 9卷
关键词
Chemical reaction; Hall current; Heat absorption; Magnetic field; Natural convection; Radiation;
D O I
10.5098/hmt.9.21
中图分类号
学科分类号
摘要
A study on unsteady MHD natural convection flow of an optically thin, heat radiating, incompressible, viscous, chemically reactive, temperature dependent heat absorbing and electrically conducting fluid past an exponentially accelerated infinite vertical plate having ramped temperature, embedded in a porous medium is carried out, considering the effects of Hall current and rotation. Governing equations are non-dimensionalized and Laplace Transform Technique is used to find the exact solutions for non-dimensional velocity, temperature and concentration fields. The quantities of physical interest i.e. shear stress at the plate, rate of heat and mass transfers at the plate are also derived. Numerical results for the velocity, temperature and species concentration of the fluid are demonstrated with the help of graphs whereas those of shear stress at the plate, rate of heat and mass transfers at the plate are displayed in tables for various flow parameters. It is observed that fluid velocities as well as fluid temperature profiles are slower in case of ramped temperature plate than those of isothermal plate. © 2017, Global Digital Central. All rights reserved.
引用
收藏
相关论文
共 37 条
[11]  
Cramer R., Pai S.I., Magnetofluid Dynamics for Engineers and Applied Physicists, (1973)
[12]  
Das S., Sarkar B.C., Jana R.N., Hall Effect on MHD Free Convection Boundary Layer Flow Past a Vertical Flat Plate, Meccanica, 48, 6, pp. 1387-1398, (2013)
[13]  
Hayat T., Waqas M., Ijaz Khan M., Alsaedi A., Impacts of Constructive and Destructive Chemical Reactions in Magnetohydrodynamic (MHD) Flow of Jeffrey Liquid due to Nonlinear Radially Stretched Surface, Journal of Molecular Liquids, 225, pp. 302-310, (2017)
[14]  
Hayday A.A., Bowlus D.A., McGraw R.A., Free Convection from a Vertical Flat Plate with Step Discontinuities in Surface Temperature, Journal of Heat Transfer-Asme, 89, 3, pp. 244-249, (1967)
[15]  
Ibrahim F.S., Elaiw A.M., Bakr A., Effect of the Chemical Reaction and Radiation Absorption on the Unsteady MHD Free Convection Flow Past a Semi-Infinite Vertical Permeable Moving Plate with Heat Source and Suction, Communications in Nonlinear Science and Numerical Simulation, 13, 6, pp. 1056-1066, (2008)
[16]  
Kundu P.K., Das K., Acharya N., Flow Features of a Conducting Fluid Near an Accelerated Vertical Plate in Porous Medium with Ramped Wall Temperature, Journal of Mechanics, 30, 3, pp. 277-288, (2014)
[17]  
Lee S., Yovanovich M.M., Laminar Natural Convection from a Vertical Plate with a Step Change in Wall Temperature, Journal of Heat Transfer-Asme, 113, 2, pp. 501-504, (1991)
[18]  
Makinde O.D., Heat and Mass Transfer by MHD Mixed Convection Stagnation Point Flow Toward a Vertical Plate Embedded in a Highly Porous Medium with Radiation and Internal Heat Generation, Meccanica, 47, 5, pp. 1173-1184, (2012)
[19]  
Mbeledogu I.U., Ogulu A., Heat and Mass Transfer of an Unsteady MHD Natural Convection Flow of a Rotating Fluid Past a Vertical Porous Flat Plate in the Presence of Radiative Heat Transfer, International Journal of Heat and Mass Transfer, 50, 9-10, pp. 1902-1908, (2007)
[20]  
Muthucumaraswamy R., Chandrakala P., Raj S.A., Radiative Heat and Mass Transfer Effects on Moving Isothermal Vertical Plate in the Presence of Chemical Reaction, International Journal of Applied Mechanics and Engineering, 11, 3, pp. 639-646, (2006)