Effect of Shear Work on the Heat Transfer Characteristics of Gaseous Flows in Microchannels

Effect of Shear Work on the Heat Transfer Characteristics of Gaseous Flows in Microchannels

The effect of shear work at solid boundaries for parallel plates and a micropipe is considered to analyze the heat transfer characteristics in the slip flow region for gaseous flow. The fluid flow is assumed to be laminar, incompressible, steady, and hydrodynamically and thermally fully developed. T...

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Bibliographic Details
Published in:Chemical engineering & technology Vol. 40; no. 1; pp. 103 - 115
Main Authors: Kushwaha, Hari M., Raj, Poris B., Sahu, Santosh K.
Format: Journal Article
Language:English
Published: Weinheim WILEY‐VCH Verlag 01-01-2017
Wiley Subscription Services, Inc
Subjects:
Brinkman number
Computational fluid dynamics
Dissipation
Exact solutions
Fluid flow
Heat
Heat flux
Heat transfer
Incompressible flow
Knudsen number
Laminar flow
Mathematical models
Microchannels
Nusselt number
Parallel plates
Shear
Shear work
Slip flow
Temperature distribution
Velocity slip
Viscosity
Viscous dissipation
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Summary:The effect of shear work at solid boundaries for parallel plates and a micropipe is considered to analyze the heat transfer characteristics in the slip flow region for gaseous flow. The fluid flow is assumed to be laminar, incompressible, steady, and hydrodynamically and thermally fully developed. The effects of second‐order velocity slip, temperature jump, shear work at the solid surface, and viscous dissipation are considered. The constant heat flux boundary condition is used at the surface of the parallel plates and of the micropipe. Closed‐form expressions are obtained for the temperature distribution and Nusselt number as a function of various modeling parameters for both geometries. The results show that neglecting the shear work underpredicts the Nusselt number. A theoretical attempt has been made to study the influence of second order velocity slip, temperature jump, viscous dissipation, and shear work on heat transfer characteristics of gaseous flow through micropipe/parallel plate geometries. The effect of rarefaction on temperature distribution is significant in the presence of viscous dissipation and a higher value of the Nusselt number is predicted compared to the model that neglects shear work.
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ISSN:0930-7516
1521-4125
DOI:10.1002/ceat.201500267