Slip law effects on heat transfer and entropy generation of pressure driven flow of a power law fluid in a microchannel under uniform heat flux boundary condition

Anand, Vishal

doi:10.1016/j.energy.2014.08.070

Cited by 45 publications

(27 citation statements)

References 33 publications

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“…In other words, the energy quality remains as high as possible. This concept has been, already, exploited in various conductive [4][5][6], convective [7][8][9] and radiative [10] environments.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer and second law analyses of forced convection in a channel partially filled by porous media and featuring internal heat sources

Torabi

Karimi

Zhang

2015

Energy

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This paper provides a comprehensive study on the heat transfer and entropy generation rates in a channel partially filled with a porous medium and under constant wall heat flux. The porous inserts are attached to the walls of the channel and the system features internal heat sources due to exothermic or endothermic physical or physicochemical processes. Darcy-Brinkman model is used for modelling the transport of momentum and an analytical study on the basis of local thermal non-equilibrium (LTNE) condition is conducted. Further analysis through considering the simplifying, local thermal equilibrium (LTE) model is also presented. Analytical solutions are, first, developed for the velocity and temperature fields. These are subsequently incorporated into the fundamental equations of entropy generation and both local and total entropy generation rates are investigated for a number of cases. It is argued that, comparing with LTE, the LTNE approach yields more accurate results on the temperature distribution within the system and therefore reveals more realistic Nusselt number and entropy generation rates. In keeping with the previous investigations, bifurcation phenomena are observed in the temperature field and rates of entropy generation. It is, further, demonstrated that partial filling of the channel leads to a substantial reduction of the total entropy generation. The results also show that the exothermicity or endothermicity characteristics of the system have significant impacts on the temperature fields, Nusselt number and entropy generation rates.

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Section: Introductionmentioning

confidence: 99%

Heat transfer and second law analyses of forced convection in a channel partially filled by porous media and featuring internal heat sources

Torabi

Karimi

Zhang

2015

Energy

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“…The energy equation for the thermally developed flow of a power-law fluid in a microchannel (see, e.g., [33,35] and the references therein) is given by…”

Section: Temperature Distributionmentioning

confidence: 99%

“…We also note that although ∂T /∂ x 0 [see Eqs. (31) and (35) below], ∂θ/∂ x = 0, i.e., θ = θ(ȳ) only, because of the assumption of thermally developed flow under uniform heat flux boundary conditions (see also [45,Chap. 8]).…”

Section: Temperature Distributionmentioning

confidence: 99%

On the Enhancement of Heat Transfer and Reduction of Entropy Generation by Asymmetric Slip in Pressure-Driven Non-Newtonian Microflows

Anand

Christov

2018

Journal of Heat Transfer

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We study hydrodynamics, heat transfer and entropy generation in pressure-driven microchannel flow of a power-law fluid. Specifically, we address the effect of asymmetry in the slip boundary condition at the channel walls. Constant, uniform but unequal heat fluxes are imposed at the walls in this thermally developed flow. The effect of asymmetric slip on the velocity profile, on the wall shear stress, on the temperature distribution, on the Bejan number profiles, and on the average entropy generation and the Nusselt number are established through the numerical evaluation of exact analytical expressions derived. Specifically, due to asymmetric slip, the fluid momentum flux and thermal energy flux are enhanced along the wall with larger slip, which in turn shifts the location of the velocity's maximum to an off-center location closer to the said wall. Asymmetric slip is also shown to redistribute the peaks and plateaus of the Bejan number profile across the microchannel, showing a sharp transition between entropy generation due to heat transfer and due to fluid flow at an offcenter-line location. In the presence of asymmetric slip, the difference in the imposed heat fluxes leads to starkly different Bejan number profiles depending on which wall is hotter, and whether the fluid is shear-thinning or shear-thickening. Overall, slip is shown to promote uniformity in both the velocity field and the temperature field, thereby reducing irreversibility in this flow.Nomenclature a consistency index, N·s n+1 /m n+1 Br ′ modified Brinkman number C, C 1 , C 2 constants of integration c p specific heat capacity, kJ/(kg·K) G pressure gradient, Pa/m

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“…Further literature on the topic includes Refs. [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Peristaltic flow with thermal conductivity of H 2 O + Cu nanofluid and entropy generation

2015

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a b s t r a c tIn this article, it is opted to investigate the effects of entropy and induced magnetic field for the peristaltic flow of copper water fluid in the asymmetric horizontal channel , the mathematical formulation is presented, the resulting equations are solved exactly. The obtained expressions for pressure gradient , pressure rise, temperature, axial magnetic field, current density, velocity phenomenon entropy generation number and Bejan number are described through graphs for various pertinent parameters. The streamlines are drawn for some physical quantities to discuss the trapping phenomenon.

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Slip law effects on heat transfer and entropy generation of pressure driven flow of a power law fluid in a microchannel under uniform heat flux boundary condition

Cited by 45 publications

References 33 publications

Heat transfer and second law analyses of forced convection in a channel partially filled by porous media and featuring internal heat sources

Heat transfer and second law analyses of forced convection in a channel partially filled by porous media and featuring internal heat sources

On the Enhancement of Heat Transfer and Reduction of Entropy Generation by Asymmetric Slip in Pressure-Driven Non-Newtonian Microflows

Peristaltic flow with thermal conductivity of H 2 O + Cu nanofluid and entropy generation

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