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UNSTEADY NONSIMILAR TWO-DIMENSIONAL ETHANOL BOUNDARY LAYERS WITH TEMPERATURE-DEPENDENT VISCOSITY AND PRANDTL NUMBER

A.H. SRINIVASA

Department of Mathematics, Maharaja Institute of Technology Mysore, Belawadi – 571438, India

K.R. JAYAKUMAR

Department of Mathematics, K.S. Group of Institutions, Bangalore– 560062,India

A.T. ESWARA

Department of Mathematics, PES College of  Engineering, Mandya – 571401, India.


ABSTRACT

In this paper, we study the effects of temperature dependent viscosity and Prandtl number on the unsteady, laminar boundary layer flow of ethanol over a cylinder. The viscosity and Prandtl number are assumed to vary as inverse linear functions of temperature. The coupled non linear partial differential equations governing the flow have been solved numerically by using an implicit finite-difference scheme, along with quasilinearization technique. The skin friction increases while heat transfer decreases in the case of variable viscosity and Prandtl number as compared to constant fluid properties. It is also noticed that the unsteadiness and suction causes the point of zero skin friction is moved down stream, delaying the boundary layer separation. The heat transfer depends strongly on viscous dissipation, but skin friction is little affected by it. The velocity and temperature fields are to found to be influenced by accelerating free stream.

 

 

 

 


International eJournal of Mathematics and Engineering

Volume 2, Issue 1, Pages:   857 - 865