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First Order Chemical Reaction and Thermal Radiation Effects on Unsteady Flow Past an Accelerated Isothermal Infinite Vertical Plate


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

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 Tw 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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  • First Order Chemical Reaction and Thermal Radiation Effects on Unsteady Flow Past an Accelerated Isothermal Infinite Vertical Plate

Abstract Views: 383  |  PDF Views: 140

Authors

R. Muthucumaraswamy
Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur-602105, India
M. Ravi Shankar
Department of Chemical Engineering, Sri Venkateswara College of Engineering, Sriperumbudur-602105, India, India

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 Tw 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

References





DOI: https://doi.org/10.17485/ijst%2F2011%2Fv4i5%2F30065