Thermomechanical coupling in frictionally heated circular Couette flow

Papathanasiou, T. D.; Caridis, K. A.; Bijeljic, Branko

doi:10.1007/bf02575136

Cited by 9 publications

(6 citation statements)

References 19 publications

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“…The physical interpretation is that temperature gradient near the moving hot porous plate is lower than what is obtainable near the cold stationary porous plate (see Figs. [3][4][5]. Fig.…”

Section: Resultsmentioning

confidence: 91%

“…Muhuri [2] studied the Couette flow between two porous plates when one of the plates moves with a uniform acceleration with uniform suction/injection. Several other works on fluid flow induced by moving boundaries are Bruin [3], Papathanasiou [4], Papathanasiou et al [5], Katagiri [6], Balaram and Govindarajulu [7], Cramer [8], Ramamoorty [9].…”

Section: Introductionmentioning

confidence: 99%

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Entropy generation under the effect of suction/injection

Ajibade

Jha

Omame

2011

Applied Mathematical Modelling

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a b s t r a c tThis work investigates entropy generation in a steady flow of viscous incompressible fluids between two infinite parallel porous plates. The fluid temperature variation is due to asymmetric heating of the porous plates as well as viscous dissipation. Two different physical situations are discussed with their entropy generation profiles: (i) Couette flow with suction/injection and (ii) pressure-driven Poiseuille flow with suction/injection. In each case, closed form expressions for entropy generation number and Bejan number are derived in dimensionless form by using the expressions for velocity and temperature which are derived by solving the resulting momentum and energy equations by the method of undetermined coefficient. The effect of the governing parameters on velocity, temperature, entropy generation and Bejan number are extensively discussed with the help of graphs. It is interesting to remark that entropy generation number increases with suction on one porous plate while it decreases on the other porous plate with injection.

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“…The physical interpretation is that temperature gradient near the moving hot porous plate is lower than what is obtainable near the cold stationary porous plate (see Figs. [3][4][5]. Fig.…”

Section: Resultsmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Entropy generation under the effect of suction/injection

Ajibade

Jha

Omame

2011

Applied Mathematical Modelling

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“…For example, gradient metal–matrix composites offer the advantage of continuously varying mechanical and thermophysical properties, such as the strength, thermal diffusivity, and coefficient of thermal expansion. They are thus considered replacements for protective coatings or multilayered structures in a number of heat‐shielding applications, including re‐entry space vehicles, space structures, and fusion reactors 5. The results indicate that for the same total amount of the ceramic phase, the heat‐shielding capacity is enhanced by an increase in concentration of the ceramic phase at the heated surface, and the temperature gradients inside the plate are affected by the concentration profile of the ceramic region.…”

Section: Introductionmentioning

confidence: 99%

“…This gradient morphology is quite effective in reducing interfacial problems 1, 2. Most successful examples concern metal–ceramic and metal–metal composites 3–6. For example, gradient metal–matrix composites offer the advantage of continuously varying mechanical and thermophysical properties, such as the strength, thermal diffusivity, and coefficient of thermal expansion.…”

Section: Introductionmentioning

confidence: 99%

Relationship between the morphological structure and mechanical properties of copper‐in‐hydrophilic polymer gradient composite films

Tang

Che

Liu

et al. 2004

J of Applied Polymer Sci

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This investigation was focused on the influence of polymer hydrophilicity on the morphological structure and mechanical properties of copper-in-polymer gradient composite films (CPGCFs). The ion motion and reduction in swelling cathode films under an electric field were the core of the gradient morphology formation of a metal region in the polymer matrix. The morphological study of CPGCFs revealed that the hydrophilicity of poly(vinyl alcohol) was helpful in forming a continuously deposited layer. The nanoclusters (40 nm) aligned into a branchlike form in the copper-rich region in the poly(vinyl alcohol) matrix. On the basis of the fuzzy interface between the poly(vinyl alcohol) matrix and copper nanoclusters, a complex interaction between them was inferred. The reduced copper affected the mechanical properties of CPGCFs. The maximum load of CPGCFs could be enhanced by 25% to 167.0 N with optimal electrochemical reduction, but the elongation was depressed. An excess of reduced copper in the polymer matrix reduced both the strength and elongation of CPGCFs. The moduli of related samples showed trends similar to those of the strength.

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“…Any fluid with a temperature‐dependent viscosity is affected by viscous heating once this heat source overcomes the heat loss (i.e., heat transfer by conduction, convection and/or radiation). Hence there exists a considerable body of literature concerning the quantification of viscous heating for industrial processes [ Nishiyama and Inoue , 1999; Kato et al , 2003, 2006, 2007] as well as for the calibration of viscosity measurement apparatus (i.e., Couette [ Sukanek and Laurence , 1974; Papathanasiou et al , 1997; Becker and McKinley , 2000; White and Muller , 2000, 2003], cone and plate [ Turian and Bird , 1963; Turian , 1965; Olagunju et al , 2002; Calado et al , 2005], and parallel plate methods [ Myers et al , 2006; Hess et al , 2008]). Here, we investigate whether viscous heating is sufficient to explain the viscosity decrease commonly observed in silicate melts.…”

Section: Introductionmentioning

confidence: 99%

Viscous heating in silicate melts: An experimental and numerical comparison

et al. 2012

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[1] The transition from Newtonian to non-Newtonian flow of silicate melts is commonly manifested as shear thinning at conditions of high stress and strain rate. Shear thinning may strongly influence the dynamics of magmatic flows, but the details of its microscopic origins are not fully understood. Here we consider viscous heating and thermomechanical coupling as a potential cause of shear thinning. We compare the results of laboratory, uniaxial compression experiments of a silicate melt with the results of thermomechanical numerical simulations corresponding to the experimental setup. Both the experimental and numerical results concord and indicate that the reduction of the temperature-dependent viscosity in flowing silicate melts is a result of viscous heating. Viscous heating was quantified for glasses with viscosities ranging from 10 8 to 10 11 Pa s and strain rates from 10 À5 to 10 0 s À1 . The results of 48 compression experiments indicate that the transition from Newtonian to non-Newtonian flow in the silicate melt occurs at a Brinkmann number (i.e., ratio of heat gained to heat lost) around 1 whereas brittle behavior dominates the melt deformation when the Deborah number (i.e., ratio of viscoelastic relaxation time to characteristic deformation time) is larger than around 0.01. The observed viscous heating significantly contributes to the viscosity decrease observed in high stress-strain rate experiments and questions our current understanding of the non-Newtonian deformation behavior of silicate melts.

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Thermomechanical coupling in frictionally heated circular Couette flow

Cited by 9 publications

References 19 publications

Entropy generation under the effect of suction/injection

Entropy generation under the effect of suction/injection

Relationship between the morphological structure and mechanical properties of copper‐in‐hydrophilic polymer gradient composite films

Viscous heating in silicate melts: An experimental and numerical comparison

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