InternationaleJournals

Radiation And First Order Chemical Reaction Effects On  Exponentially Accelerated Vertical Plate

R.Muthucumaraswamy1, R.Rahul2  and P.Balachandran3

1 & 2 Sri Venkateswara College of Engineering, Pennalur, Sriperumbudur 602105, India. EMail: msamy@svce.ac.in

3 Department of Mathematics, SRM Valliammai Engineering College, Potheri, Kattankulathur 603203, India.

 

Abstract

An exact analysis of thermal radiation effects on unsteady free convective flow of a viscous incompressible flow past a exponentially accelerted infinite isothermal vertical  plate, in the presence homogeneous chemical reaction of first order has been considered. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised to  and the concentration level near the plate is also raised to . An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method, when the plate is exponentially accelerated with a velocity  in its own plane. The effects of velocity, temperature and concentration are studied for different physical parameters like thermal radiation  parameter, chemical reaction parameter, Schmidt number, thermal Grashof number, mass Grashof number and time. It is observed that the velocity increases with decreasing values of the chemical reaction parameter or radiation parameter. But the trend is just reversed with respect to parameter a and time t.

Key words: first order, chemical reaction, thermal radiation,  isothermal,vertical plate.

Mathematics Subject Classification: 76R10

 

 


International eJournal of Mathematical Sciences, Technology and Humanities

Volume 1, Issue 2, Pages:  174 - 182