Laminar forced convection with viscous dissipation in a Couette–Poiseuille flow between parallel plates

Aydın, Orhan; Avcı, Mete

doi:10.1016/j.apenergy.2005.08.005

Cited by 47 publications

(39 citation statements)

References 4 publications

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“…H EAT transfer in a Couette-Poiseuille flow plays a major role in processes such as extrusion, metal forming, glass fiber drawing, and continuous casting, where the moving surface continuously exchanges heat with the surrounding fluid [1]. Although the rheological behavior of the fluid is important and can affect the quality of the materials processed, viscous dissipation, which is due to work done by viscous forces acting on a fluid, can also bear great significance to processes, where large velocity gradients lead to temperature increases.…”

Section: Introductionmentioning

confidence: 99%

“…The effects of viscous dissipation on forced convective heat transfer have been widely reported in the literature [1][2][3][4][5][6][7]. Aydin and Avci [1] investigated the effects of viscous dissipation on fully developed convection heat transfer in pipes subjected to constant heat flux and constant wall temperature, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Aydin and Avci [1] investigated the effects of viscous dissipation on fully developed convection heat transfer in pipes subjected to constant heat flux and constant wall temperature, respectively. Temperature profiles and Nusselt numbers Nu are affected markedly when the Brinkman number Br is large.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Chan

Chen

Tso

2015

Journal of Thermophysics and Heat Transfer

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The effect of viscous dissipation on forced convective heat transfer for a Couette-Poiseuille flow of a power-law fluid subjected to asymmetric thermal boundary conditions is investigated here. The Couette-Poiseuille flow studied is limited to one with a maximum velocity, where the location that corresponds to the maximum velocity has to be solved numerically. A new analytical expression is obtained for the Nusselt number, in terms of the heat flux ratio applied to the top and bottom parallel plates and in terms of the Brinkman number as defined for the power-law fluid. Present results, when reduced to a few special cases, are in excellent agreement with published results. An asymptotic Brinkman number is observed in the Nusselt number versus Brinkman number plot, which shows a sign change in Nu for the range of power-law indices tested.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Chan

Chen

Tso

2015

Journal of Thermophysics and Heat Transfer

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“…Ghosh [9] has obtained an analytical solution to the problem of steady and unsteady hydromagnetic flow of viscous incompressible electrically con- ducting fluid under the influence of constant and periodic pressure gradient in presence of inclined magnetic field. There are many other investigations, like Borkakati and Chakrabarty's [10] investigation of unsteady free convection MHD flow between two heated vertical parallel plates in induced magnetic field, or Aydin and Avci's [11] analytical investigation of laminar heat convection in a Couette-Poiseuille flow between two parallel plates with a simultaneous pressure gradient and an axial movement of the upper plate. Recently, Singa [12] has given an analytical solution to the problem of MHD free convective flow of an electrically conducting fluid between two heated parallel plates in the presence of an induced magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Flow and heat transfer of three immiscible fluids in the presence of uniform magnetic field

et al. 2014

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The magnetohydrodynamic flow of three immiscible fluids in a horizontal channel with isothermal walls in the presence of an applied magnetic field has been investigated. All three fluids are electrically conducting, while the channel plates are electrically insulated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and closed-form solutions are obtained in three fluid regions of the channel. Separate solutions with appropriate boundary conditions for each fluid have been obtained and these solutions have been matched at the interface using suitable boundary conditions. The analytical results for various values of the Hartmann number, the ratio of fluid heights and thermal conductivities have been presented graphically to show their effect on the flow and heat transfer characteristics.

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“…Numerical solution of fully developed laminar heat transfer of power-law non-Newtonian fluids in plane Couette flow, with constant heat flux at one wall with other wall insulated had been investigated [14] and analytical solution was derived for Newtonian fluid [15].…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer with Viscous Dissipation in Couette-Poiseuille Flow under Asymmetric Wall Heat Fluxes

Sheela-Francisca¹,

Tso²,

Rilling³

2012

OJFD

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Analytical solutions of temperature distributions and the Nusselt numbers in forced convection are reported for flow through infinitely long parallel plates, where the upper plate moves in the flow direction with constant velocity and the lower plate is kept stationary. The flow is assumed to be laminar, both hydro-dynamically and thermally fully developed, taking into account the effect of viscous dissipation of the flowing fluid. Both the plates being kept at specified and at different constant heat fluxes are considered as thermal boundary conditions. The solutions obtained from energy equation are in terms of Brinkman number, dimensionless velocity and heat flux ratio. These parameters greatly influence and give complete understanding on heat transfer rates that has potentials for designing and analyzing energy equipment and processes. 113 Figure 4. Nusselt number versus q 2 /q 1 , at U * = −1.0, −0.5, 0.0, 0.5, and 1.0, at various Br q1 . Vertical lines are asymptotes. (a) Br q1 = −0.01; (b) Br q1 = −0.10; (c) Br q1 = 0.00; (d) Br q1 = 0.01; (e) Br q1 = 0.10; (f) Br q1 = 0.50.

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Laminar forced convection with viscous dissipation in a Couette–Poiseuille flow between parallel plates

Cited by 47 publications

References 4 publications

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

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

Flow and heat transfer of three immiscible fluids in the presence of uniform magnetic field

Heat Transfer with Viscous Dissipation in Couette-Poiseuille Flow under Asymmetric Wall Heat Fluxes

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