M. Muralidharan ¹, R. Muthucumaraswamy ²

Affiliations
1 Department of Mathematics, Panimalar Engineering College, Nazarathpet, Poonamallee, Chennai-602103, IN
2 Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur 602 105, IN

Abstract

Radiative heat transfer effects on unsteady flow of viscous incompressible fluid past a uniformly accelerated infinite vertical plate with variable temperature and uniform mass flux has been studied. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method, when the plate is linearly accelerated with a velocity u = (u³₀ / ν) t'in its own plane. The plate temperature is raised linearly with time and the concentration level near the plate is also raised at a uniform rate. The velocity, temperature and concentration fields are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number, radiation parameter 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.

Keywords

Linearly, Accelerated, Vertical Plate, Radiation, Mass Flux

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R. Muthucumaraswamy ¹, M. Ravi Shankar ²

Affiliations
1 Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur-602105, IN
2 Department of Chemical Engineering, Sri Venkateswara College of Engineering, Sriperumbudur-602105, India, IN

Abstract

Theoretical solution of unsteady radiative flow past a uniformly accelerated isothermal infinite vertical plate with uniform mass diffusion is presented here, taking in to account the homogeneous chemical reaction of first order. The plate temperature is raised to T_w and the concentration level near the plate is also raised to C^/_w . The dimensionless governing equations are solved using Laplace-transform technique. The velocity, temperature and concentration fields are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number, radiation parameter, chemical reaction parameter 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 the velocity increases with decreasing chemical reaction parameter.

Keywords

Accelerated, Isothermal, Vertical Plate, Chemical Reaction, Radiation

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