Abstract—An exact solution of unsteady flow past a uniformly accelerated infinite vertical plate with variable temperature and mass diffusion, in the presence of thermal radiation is presented here. The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing values of thermal Grashof number or mass Grashof number. But the trend is just reversed with respect to the thermal radiation parameter. It is also observed that there is a fall in plate temperature due to high thermal radiation.
Index Terms—Accelerated, vertical plate, heat and mass transfer, variable temperature, radiation.
Muralidharan M. is with the Department of Mathematics, Mohamed Sathak A. J. College of Engineering, Siruseri, IT Park, Chennai 603 103, India (e-mail: mu_anish@yahoo.co.in)
Muthucumaraswamy R. is with the Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur 602 105, India (e-mail: msamy@svce.ac.in)
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Cite:Muralidharan M. and Muthucumaraswamy R., "Radiative Flow Past an Accelerated Vertical Plate with Variable Temperature and Uniform Mass Diffusion," International Journal of Modeling and Optimization vol. 3, no. 3, pp. 298-301, 2013.