Couette flow with frictional heating in a fluid with temperature and pressure dependent viscosity

Rajagopal, K. R.; Saccomandi, Giuseppe; Vergori, Luigi

doi:10.1016/j.ijheatmasstransfer.2010.11.002

Cited by 11 publications

(3 citation statements)

References 36 publications

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“…As pointed out earlier, for highly viscous fluids, the Brinkman number might not be small [30] but of order of unity or greater. Hence, from (4.20), we deduce that equation (4.29) 3 has to be changed to…”

Section: Approximationsmentioning

confidence: 85%

“…The specific entropy is then not concave and so assumption (1.1) leads also to thermodynamic instability (see also [32] from which one deduces that the speed of sound in the fluid is imaginary, a physically unrealistic situation! It must be acknowledged that, despite the physically unrealistic deductions described above, as long as the ratio between the Eckert number and the second Froude number is of the same order as the Carnot number or smaller, the approximations derived in [17,28,30] under the assumption (1.1) (and valid whenever α ref (θ M − θ m ) is small) coincide, respectively, with the Oberbeck-Boussinesq, Stokes-Oberbeck-Boussinesq and Navier-Stokes with frictional heating approximations derived in §4. In virtue of this remark, the results concerning the onset of convection and the viscous dissipation in fluids with pressure-and temperature-dependent viscosity found in [28,30,33], where the approximations are derived under the assumption (1.1), hold true.…”

Section: Discussionmentioning

confidence: 99%

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On the approximation of isochoric motions of fluids under different flow conditions

2015

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There has been considerable interest, ever since the development of the approximation by Oberbeck and Boussinesq concerning fluids that are mechanically incompressible but thermally compressible, in giving a rigorous justification for the same. For such fluids, it would be natural to assume that the determinant of the deformation gradient (which is a measure of the volume change of the body) depends on the temperature. However, such an assumption has the attendant drawbacks of the specific heat of the fluid at constant volume being zero and the speed of sound in the fluid being complex. In this paper, we consider a generalization of the Oberbeck-Boussinesq approximation, wherein the volume change depends both on the temperature and on the pressure that the fluid is subject to. We show that within the context of this generalization, the specific heat at constant volume can be defined meaningfully, and it is not zero.

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Section: Approximationsmentioning

confidence: 85%

Section: Discussionmentioning

confidence: 99%

On the approximation of isochoric motions of fluids under different flow conditions

2015

Self Cite

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“…The fluid between them follows the following governing equations (Rajagopal et al , 2010): where ρ represents the density of the fluid, v is the velocity, μ is the viscosity, k is the thermal conductivity, c is the specific heat at constant pressure, Z i is the viscous dissipation and y is the coordinate axis perpendicular to the fluid layer. Under steady state, the velocity distribution at a certain height of the fluid layer can be approximately considered as having the following linear relationship (Kavinprasad et al , 2015): where v 0 represents the linear velocity of the moving wall; δ represents the height of the fluid layer in the z direction.…”

Section: Theoretical Basismentioning

confidence: 99%

Temperature rise of magnetorheological fluid sealing film in a spiral grooved mechanical

Zhang

Zhou

Meng

2022

ILT

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Purpose In the magnetorheological fluid (MRF) sealing, a large amount of friction heat is generated in the fluid film with micron thickness due to the viscosity dissipation, which leads to seal failure and MRF deterioration. The purpose of this study is to investigate the mechanism of temperature rise of MRF film under the action of the three-field coupling of the flow field, temperature field and magnetic field. Design/methodology/approach The fluid film was simplified as a Couette flow in this work to simulate the temperature change in the sealing fluid film under different working conditions. The corresponding experiment for test the temperature rise was also carried out, and the temperature of the characteristic point of the stationary ring was measured to validate the model. Findings The results show that the temperature rise is mainly affected by the rotational speed, magnetic field strength and fluid film thickness. The magnetic field enhances the convective heat transfer in the MRF film. The thinner the fluid film, the more frictional heat generated. The MRF film reaches its maximum temperature at the contact with the end face of rotating ring due to frictional heat. Originality/value A method for temperature rise analysis of MRF fluid sealing films based on Couette flow is established. It is helpful for the study of liquid film frictional heat in MRF seals.

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Old Problems Revisited from New Perspectives in Implicit Theories of Fluids

Saccomandi

Vergori

2018

Lecture Notes in Mathematics

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Couette flow with frictional heating in a fluid with temperature and pressure dependent viscosity

Cited by 11 publications

References 36 publications

On the approximation of isochoric motions of fluids under different flow conditions

On the approximation of isochoric motions of fluids under different flow conditions

Temperature rise of magnetorheological fluid sealing film in a spiral grooved mechanical

Old Problems Revisited from New Perspectives in Implicit Theories of Fluids

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