Entropy Generation Minimization in a Slip Driven Microflow of a Viscoelastic Fluid

[+] Author and Article Information
Rajkumar Sarma

Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, India - 781039

Pranab Mondal

Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, India - 781039

1Corresponding author.

ASME doi:10.1115/1.4038451 History: Received May 24, 2017; Revised September 08, 2017


We focus on the entropy generation minimization for the flow of a viscoelastic fluid through a parallel plate microchannel, under the combined influences of applied pressure gradient, interfacial slip and conjugate heat transfer. We use the simplified Phan-Thien-Tanner model (s-PTT) to represent the rheological behaviour of the viscoelastic fluid. Using the thermal boundary conditions of third kind, the transport equations are solved analytically to obtain the velocity and temperature distributions in the flow field, which are further used to calculate the entropy generation rate in the analysis. In this study, the influential role of following dimensionless parameters on entropy generation rate is examined: the viscoelastic parameter, slip coefficient, channel wall thickness, thermal conductivity of the wall, Biot number and Peclet number. We show that, there exists particular value of the above mentioned parameters, leading to a minimum entropy generation of the system. We believe that results of this analysis could be of helpful in optimum design of microfluidic system/devices, typically used in thermal management such as in electronic device, micro reactor, micro heat exchanger etc.

Copyright (c) 2017 by ASME
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