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Radiation Effects On Flow Past An Accelerated Iothermal Vertical Plate With Variable Mass Diffusion In The Presence Of Chemical Reaction

R. Muthucumaraswamy 1 and  P.Balachandran 2

1 Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur 602 105, INDIA.

2 Department of Mathematics,  SRM Valliammai Engineering College, Potheri, Kattankulathur-603203.

 

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   and the concentration level near the plate is made to raise linearly with time. 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.

2000 Mathematics Subject Classification : 76R10

Key words : accelerated, isothermal, vertical plate, chemical reaction, radiation

 


International eJournal of Mathematics and Engineering

Volume 2, Issue 4, Pages: 1209 - 1219