Effect of Adiabatic Entry on Forced Convection Heat Transfer with Viscous Dissipation in Thermally Developing Region of an Annulus
M. M. J. Kumar1 and V. V. Satyamurty2
1Res. Scholar, Department of Mechanical Engineering, IIT Kharagpur, Kharagpur 721 302, India.
mmjk.iitkgp@gmail.com
2Professor, Department of Mechanical Engineering, IIT Kharagpur, Kharagpur 721 302, India.
vvsmurty@mech.iitkgp.ernet.in
ABSTRACT
Recent investigations related to studies on laminar forced convection in tubes including viscous dissipation, considered the entry temperature to be the viscous dissipation generated temperature profile in an otherwise adiabatic duct, and termed this region as the adiabatic preparatory zone. In the present investigation, the geometry chosen has been that of an annular duct whose walls are kept at constant and equal temperature. The present article investigates the effect of considering adiabatic entry temperature in place of commonly assumed uniform entry temperature on heat transfer in the thermally developing region of the annular duct including viscous dissipation. The problem is characterized by the parameters, radius ratio, R* of the annulus, the Brinkman number, Br (that characterizes the viscous dissipation) and the Peclet number, Pe, which can be absorbed in the normalized axial distance. It has been found that, due to adiabatic entry temperature the wall heat transfer significantly larger when the fluid is getting cooled and lesser when the fluid is getting heated.
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