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The Effect of Viscous Dissipative Heat on Three Dimensional Oscillatory Flow with Periodic Suction Velocity


Affiliations
1 Fluid Dynamics Research, Dept. of Mathematics, Goalpara College, Goalpara, Assam-783 101, India
 

In the present work, we have considered the unsteady three-dimensional flow and heat transfer of a viscous incompressible fluid over an infinite vertical flat porous plate in presence of viscous dissipative heat. The plate is subjected to a periodic variation of suction velocity when the free stream velocity oscillates in time about a constant mean. The flow becomes three-dimensional one due to the periodic suction velocity in transverse direction at the surface. By series expansion method, analytical expressions for transient velocity, temperature profile, the skin-friction and the rate of heat transfer have been obtained. It is observed that, an increase in Pr leads to fall in temperature and phase angle tanΦ2 of the rate of heat transfer, where as the amplitude |H| rises near the plate. Also, increasing the suction parameter caused reduction in the temperature distribution as well as amplitude of heat transfer. The present study is basically relevant to the application in different engineering sciences.

Keywords

Series Solution, Unsteady Flow, Viscous Fluid, Periodic Suction, Eckert Number
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  • The Effect of Viscous Dissipative Heat on Three Dimensional Oscillatory Flow with Periodic Suction Velocity

Abstract Views: 389  |  PDF Views: 121

Authors

Sahin Ahmed
Fluid Dynamics Research, Dept. of Mathematics, Goalpara College, Goalpara, Assam-783 101, India

Abstract


In the present work, we have considered the unsteady three-dimensional flow and heat transfer of a viscous incompressible fluid over an infinite vertical flat porous plate in presence of viscous dissipative heat. The plate is subjected to a periodic variation of suction velocity when the free stream velocity oscillates in time about a constant mean. The flow becomes three-dimensional one due to the periodic suction velocity in transverse direction at the surface. By series expansion method, analytical expressions for transient velocity, temperature profile, the skin-friction and the rate of heat transfer have been obtained. It is observed that, an increase in Pr leads to fall in temperature and phase angle tanΦ2 of the rate of heat transfer, where as the amplitude |H| rises near the plate. Also, increasing the suction parameter caused reduction in the temperature distribution as well as amplitude of heat transfer. The present study is basically relevant to the application in different engineering sciences.

Keywords


Series Solution, Unsteady Flow, Viscous Fluid, Periodic Suction, Eckert Number

References





DOI: https://doi.org/10.17485/ijst%2F2010%2Fv3i3%2F29696