Effect of Asymmetric Boundary Conditions on Couette–Poiseuille Flow of Power-Law Fluid

Chan, Yee Kit; Chen, Gooi Mee; Tso, C.P.

doi:10.2514/1.t4417

Cited by 9 publications

(14 citation statements)

References 13 publications

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“…We have clearly specified the different parameters considered in plotting a figure in the respective figure caption as well as in the text. However, we consider

and

, which are typically used in the literature [ 7 , 8 , 15 , 24 , 28 ]. The Brinkman number is defined in this study as follows:

.…”

Section: Resultsmentioning

confidence: 99%

“…Understanding of transport phenomena through micro-scale devices, by exploring the several features of the underlying thermo-fluidic transport, has been critically reviewed by several researchers [ 4 , 5 , 6 ]. It is important to mention in this context that there are many practical applications where heat transfer normally occurs in the course of fluid motion involving moving boundaries [ 7 , 8 , 9 ]. Particularly, in micro-maching such as micro-drilling, micro-swirling nozzles, micro-milling and micro-piarcing, the heat transfer rate from the moving boundary to the surrounding fluid is of vital importance, allowing these devices to operate at their best thermodynamic efficiency.…”

Section: Introductionmentioning

confidence: 99%

“…In precise terms, this effect invites system irreversibility by altering the heat-transfer characteristics of the system [ 1 , 3 , 16 , 17 , 18 , 19 ]. There are many studies reported in the literature that have critically discussed the effects of viscous dissipation on the forced convective heat transfer in different geometries considered either as constant heat flux or constant wall temperature thermal boundary conditions [ 8 , 9 , 17 , 19 , 20 , 21 ]. However, few reported studies have considered the movement of either of the boundaries to describe the quantitative relation among the different physical parameters governing thermo-fluidic transport [ 7 , 8 , 9 ].…”

Section: Introductionmentioning

confidence: 99%

“…Thermal systems and devices are required to sustain different thermal conditions because of their widespread application in different fields. Taking this into consideration, researchers have also investigated the influence of viscous heating developed by a moving surface on the convective transport of heat in a thermal asymmetrical heating environment [ 8 , 22 , 23 ]. On the other hand, the rotation-induced effect of shear heating may alter thermo-fluidic transport by changing the temperature distribution in the field and hence the thermodynamic efficiency of the systems/devices.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Mondal

2018

Entropy

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Abstract: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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“…We have clearly specified the different parameters considered in plotting a figure in the respective figure caption as well as in the text. However, we consider

and

, which are typically used in the literature [ 7 , 8 , 15 , 24 , 28 ]. The Brinkman number is defined in this study as follows:

.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Mondal

2018

Entropy

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show abstract

“…Sheela-Francisca et al [6] examined heat transfer in Couette-Poiseuille flow under asymmetric wall heat fluxes with viscous dissipation effect and obtained the closed form temperature field and Nusselt number expression. Chan et al [7] explored the effect of viscous dissipation on the thermal aspect of a power-law fluid for a Couette-Poiseuille flow subjected to asymmetric thermal boundary conditions. Hashemabadi et al [8] solved forced convective heat transfer problem of non-linear viscoelastic fluid flow between parallel plates for a Couette-Poiseuille flow analytically and remarked the significant effects of Brinkman number on 2 of 15 heat convection coefficient.…”

Section: Introductionmentioning

confidence: 99%

Thermal Viscous Dissipative Couette-Poiseuille Flow in a Porous Medium Saturated Channel

Chen¹,

Lim²,

Tso³

2019

Symmetry

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A Couette-Poiseuille flow between parallel plates saturated with porous medium is studied with emphasis on viscous dissipation effect on the temperature field; assuming a fully developed flow, with both plates subjected to unequal and uniform heat flux. Temperature field and Nusselt number are derived as a function of Brinkman number and porous medium shape factor. By specifying the ratio of wall to mean velocity as one, the resulting velocity and temperature fields attribute to a significant increase in Nusselt number for the moving wall as the permeability of porous medium increases. Increased permeability signifies competing effect between enhanced convection in the proximity of the moving wall and higher local viscous dissipation. When the former effect dominates, heat transfer coefficient increases. Effects of Reynolds number on the temperature field is elucidated, including a comparison between a microchannel and conventional duct to evaluate the characteristic length scale effect. As Reynolds number goes up in a microchannel, heat generation in the form of viscous dissipation intensifies and overrides the convection effect, causing an increase in the highest temperature along the duct on the contrary to the findings in conventional duct.

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Effect of thermal asymmetries on the entropy generation analysis of a variable viscosity Couette–Poiseuille flow

Mondal

Gaikwad

Kundu

2017

Proceedings of the Institution of Mechanical Engineers, Part E:

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The influence of viscous dissipation on forced convective heat transfer and entropy generation rate in the conduction limit for a variable-viscosity flow between asymmetrically heated parallel plates is studied in an analytical framework consistent with perturbation method. The study considers a flow of Newtonian fluid under the simultaneous action of an applied pressure gradient and an axial movement of the upper plate. The present study emphasizes on the effect of dissipative heat produced by the movable upper plate as well as viscous heating generated due to applied pressure gradient on the underlying thermo-hydrodynamic transport. A few non-dimensional parameters such as dimensionless upper plate velocity, degree of asymmetry parameter and Brinkman number have been defined and their influential role on the variation of temperature profile, the Nusselt number and entropy generation number has been discussed in detail. The study shows that the variation of Nusselt number exhibits an unbounded swing, which, in turn, leads to appearance of the point of singularities at some cases of asymmetrical plate heating. Finally, the source of appearance of point of singularities has been discussed in view of the energy balance, and from the second-law analysis of thermodynamics.

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Effect of Asymmetric Boundary Conditions on Couette–Poiseuille Flow of Power-Law Fluid

Cited by 9 publications

References 13 publications

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

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

Thermal Viscous Dissipative Couette-Poiseuille Flow in a Porous Medium Saturated Channel

Effect of thermal asymmetries on the entropy generation analysis of a variable viscosity Couette–Poiseuille flow

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