Assesment of Thermodynamic Irreversibility in a Micro-Scale Viscous Dissipative Circular Couette Flow

We investigate the effect of viscous dissipation on the thermal transport characteristics of heat and its consequence in terms of the entropy-generation rate in a circular Couette flow. We consider the flow of a Newtonian fluid through a narrow annular space between two asymmetrically-heated concent...

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Main Authors: Pranab Kumar Mondal, Somchai Wonwises
Format: Article
Language:English
Published: MDPI AG 2018-01-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/1/50
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author Pranab Kumar Mondal
Somchai Wonwises
author_facet Pranab Kumar Mondal
Somchai Wonwises
author_sort Pranab Kumar Mondal
collection DOAJ
description We investigate the effect of viscous dissipation on the thermal transport characteristics of heat and its consequence in terms of the entropy-generation rate in a circular Couette flow. We consider the flow of a Newtonian fluid through a narrow annular space between two asymmetrically-heated concentric micro-cylinders where the inner cylinder is rotating at a constant speed. Employing an analytical methodology, we demonstrate the temperature distribution and its consequential effects on the heat-transfer and entropy-generation behaviour in the annulus. We bring out the momentous effect of viscous dissipation on the underlying transport of heat as modulated by the degree of thermal asymmetries. Our results also show that the variation of the Nusselt number exhibits an unbounded swing for some values of the Brinkman number and degrees of asymmetrical wall heating. We explain the appearance of unbounded swing on the variation of the Nusselt number from the energy balance in the flow field as well as from the second law of thermodynamics. We believe that the insights obtained from the present analysis may improve the design of micro-rotating devices/systems.
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spelling doaj.art-d07ef40ce2ee4a66b200cfa36e2fa2152022-12-22T04:00:21ZengMDPI AGEntropy1099-43002018-01-012015010.3390/e20010050e20010050Assesment of Thermodynamic Irreversibility in a Micro-Scale Viscous Dissipative Circular Couette FlowPranab Kumar Mondal0Somchai Wonwises1Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, IndiaFluid Mechanics, Thermal Engineering and Multiphase Flow Research Lab (FUTURE), Department of Mechanical Engineering, Faculty of Engineering, King Mongkut’s University of Technology Thonburi, Bangkok 10140, ThailandWe investigate the effect of viscous dissipation on the thermal transport characteristics of heat and its consequence in terms of the entropy-generation rate in a circular Couette flow. We consider the flow of a Newtonian fluid through a narrow annular space between two asymmetrically-heated concentric micro-cylinders where the inner cylinder is rotating at a constant speed. Employing an analytical methodology, we demonstrate the temperature distribution and its consequential effects on the heat-transfer and entropy-generation behaviour in the annulus. We bring out the momentous effect of viscous dissipation on the underlying transport of heat as modulated by the degree of thermal asymmetries. Our results also show that the variation of the Nusselt number exhibits an unbounded swing for some values of the Brinkman number and degrees of asymmetrical wall heating. We explain the appearance of unbounded swing on the variation of the Nusselt number from the energy balance in the flow field as well as from the second law of thermodynamics. We believe that the insights obtained from the present analysis may improve the design of micro-rotating devices/systems.http://www.mdpi.com/1099-4300/20/1/50entropy generationviscous dissipationmicro-annulusconcentric-cylindersdegree of asymmetryNusselt numberBrinkman numbersecond law
spellingShingle Pranab Kumar Mondal
Somchai Wonwises
Assesment of Thermodynamic Irreversibility in a Micro-Scale Viscous Dissipative Circular Couette Flow
Entropy
entropy generation
viscous dissipation
micro-annulus
concentric-cylinders
degree of asymmetry
Nusselt number
Brinkman number
second law
title Assesment of Thermodynamic Irreversibility in a Micro-Scale Viscous Dissipative Circular Couette Flow
title_full Assesment of Thermodynamic Irreversibility in a Micro-Scale Viscous Dissipative Circular Couette Flow
title_fullStr Assesment of Thermodynamic Irreversibility in a Micro-Scale Viscous Dissipative Circular Couette Flow
title_full_unstemmed Assesment of Thermodynamic Irreversibility in a Micro-Scale Viscous Dissipative Circular Couette Flow
title_short Assesment of Thermodynamic Irreversibility in a Micro-Scale Viscous Dissipative Circular Couette Flow
title_sort assesment of thermodynamic irreversibility in a micro scale viscous dissipative circular couette flow
topic entropy generation
viscous dissipation
micro-annulus
concentric-cylinders
degree of asymmetry
Nusselt number
Brinkman number
second law
url http://www.mdpi.com/1099-4300/20/1/50
work_keys_str_mv AT pranabkumarmondal assesmentofthermodynamicirreversibilityinamicroscaleviscousdissipativecircularcouetteflow
AT somchaiwonwises assesmentofthermodynamicirreversibilityinamicroscaleviscousdissipativecircularcouetteflow