... or partially filled) with porous medium, ie Chauhan and Gupta (1999), Al-Hadhrami et al. ... ... more ... or partially filled) with porous medium, ie Chauhan and Gupta (1999), Al-Hadhrami et al. ... has been discussed and summarized by Schaaf and Chambre (1961) and Harley et al. ... channels useful in engineering devices, such as Demirel and Kahraman (2000), Mahmud and Fraser ...
This study theoretically analyzes the heat transfer effects in a 3-D Couette flow through a compo... more This study theoretically analyzes the heat transfer effects in a 3-D Couette flow through a composite parallel porous plate channel partly filled by a porous me-dium. The flow is 3-D in the channel because of the application of a transverse sinusoidal injection velocity of a particular form at the lower stationary plate. The governing equations are solved using a perturbation series expansion me-thod. The effects of various flow parameters such as, Prandtl number, suc-tion/injection parameter, permeability of the porous medium, heat source para-meter, and viscosity ratio parameter, are investigated on temperature distribution in the composite channel and rate of heat transfer at the upper moving plate and at the fluid-porous medium interface, and discussed graphically.
In the present paper, a non-Newtonian third-grade fluid flow is considered in an annulus partiall... more In the present paper, a non-Newtonian third-grade fluid flow is considered in an annulus partially filled by a porous medium of very small permeability. An analytical solution by the perturbation series method is obtained for velocity and temperature fields, assuming Reynolds’s model to account for the variation of fluid viscosity with temperature. The effects of various pertinent parameters on the flow field, temperature field and entropy generation number are obtained and discussed graphically.
Fully developed forced convection in a circular channel filled with a highly porous medium satura... more Fully developed forced convection in a circular channel filled with a highly porous medium saturated with a rarefied gas and uniform heat flux at the wall is investigated in the slip-flow regime, using the Darcy extended Brinkman-Forchheimer momentum equation and the entropy generation due to heat transfer and fluid friction is formulated. The expressions for velocity and temperature distribution have been obtained in terms of an asymptotic expansion for large Darcy numbers, assuming both velocity and temperature slip at the wall. The effects of slip and other parameters are examined on the Nusselt number and entropy generation rate. For small slip at the wall, it is noted that the velocity slip increases the Nusselt number and the temperature slip decreases it. The entropy generation number attains high values in the region close to the channel wall and the velocity and temperature slip parameters reduce it.
In heat transfer engineering, it is important to determine the relationship between the rate of h... more In heat transfer engineering, it is important to determine the relationship between the rate of heat transfer and the driving temperature difference, and the entropy generation rate. In this study, we have investigated the characteristics of the first and the second law of thermodynamics in a situation, in which the compressible fluid flow is caused by moving an impermeable wall of a composite channel partially filled with a porous medium. Analytical expressions for velocity distribution, temperature distribution, rate of heat transfer, entropy generation number and Bejan number for both porous and clear fluid regions are obtained, and discussed.
plate and porous interface are obtained, and the effects of the various pertinent parameters are ... more plate and porous interface are obtained, and the effects of the various pertinent parameters are investigated and discussed.
The couette flow of a viscous fluid in a channel, partially filled with a porous medium has been ... more The couette flow of a viscous fluid in a channel, partially filled with a porous medium has been analyzed. The lower part of the channel is occupied by a porous medium, while the upper part is occupied by a clear fluid. The lower porous plate and the porous medium are fixed and a transverse sinusoidal injection velocity is applied at it, while the upper porous plate moves with a constant velocity and it is also subjected to a constant suction. The effects of the permeability of the porous medium, its thickness, effective viscosity and the injection parameter, on the flow are analyzed.
In a horizontal porous layer bounded by impermeable plates, the unsteady flow produced by an osci... more In a horizontal porous layer bounded by impermeable plates, the unsteady flow produced by an oscillatory motion of the lower plate, is considered. Channel plates are kept at different but constant temperatures. Both velocity and temperature slips are assumed partially at the channel walls. To account for radiation, Cogley equilibrium model is employed for radiative heat flux. Viscous dissipation is also considered in the analysis. The initial boundary value problem is solved numerically by the use of Crank-Nicolson implicit difference scheme. Effects of the pertinent parameters such as velocity and temperature slip parameters, radiation parameter, permeability of the porous medium and Brinkman number, are investigated on the flow and temperature fields and discussed graphically.
A theoretical analysis is made for a fully developed mixed convection viscous fluid flow between ... more A theoretical analysis is made for a fully developed mixed convection viscous fluid flow between two infinite vertical parallel plane walls, where a porous substrate of finite thickness is attached to the left vertical wall, in the presence of radiation and viscous dissipation effects. It is assumed that the viscous fluid is gray, absorbing-emitting radiation but a non-scattering medium. The Boussinesq approximation and Rosseland approximation are employed. The analytic expressions for temperature and velocity profiles are obtained and the effects of the permeability of the porous substrate, Grashof number, conduction-radiation parameter (stark number), and perturbation parameter on the flow and temperature fields and in the Nusselt number have been discussed.
... or partially filled) with porous medium, ie Chauhan and Gupta (1999), Al-Hadhrami et al. ... ... more ... or partially filled) with porous medium, ie Chauhan and Gupta (1999), Al-Hadhrami et al. ... has been discussed and summarized by Schaaf and Chambre (1961) and Harley et al. ... channels useful in engineering devices, such as Demirel and Kahraman (2000), Mahmud and Fraser ...
This study theoretically analyzes the heat transfer effects in a 3-D Couette flow through a compo... more This study theoretically analyzes the heat transfer effects in a 3-D Couette flow through a composite parallel porous plate channel partly filled by a porous me-dium. The flow is 3-D in the channel because of the application of a transverse sinusoidal injection velocity of a particular form at the lower stationary plate. The governing equations are solved using a perturbation series expansion me-thod. The effects of various flow parameters such as, Prandtl number, suc-tion/injection parameter, permeability of the porous medium, heat source para-meter, and viscosity ratio parameter, are investigated on temperature distribution in the composite channel and rate of heat transfer at the upper moving plate and at the fluid-porous medium interface, and discussed graphically.
In the present paper, a non-Newtonian third-grade fluid flow is considered in an annulus partiall... more In the present paper, a non-Newtonian third-grade fluid flow is considered in an annulus partially filled by a porous medium of very small permeability. An analytical solution by the perturbation series method is obtained for velocity and temperature fields, assuming Reynolds’s model to account for the variation of fluid viscosity with temperature. The effects of various pertinent parameters on the flow field, temperature field and entropy generation number are obtained and discussed graphically.
Fully developed forced convection in a circular channel filled with a highly porous medium satura... more Fully developed forced convection in a circular channel filled with a highly porous medium saturated with a rarefied gas and uniform heat flux at the wall is investigated in the slip-flow regime, using the Darcy extended Brinkman-Forchheimer momentum equation and the entropy generation due to heat transfer and fluid friction is formulated. The expressions for velocity and temperature distribution have been obtained in terms of an asymptotic expansion for large Darcy numbers, assuming both velocity and temperature slip at the wall. The effects of slip and other parameters are examined on the Nusselt number and entropy generation rate. For small slip at the wall, it is noted that the velocity slip increases the Nusselt number and the temperature slip decreases it. The entropy generation number attains high values in the region close to the channel wall and the velocity and temperature slip parameters reduce it.
In heat transfer engineering, it is important to determine the relationship between the rate of h... more In heat transfer engineering, it is important to determine the relationship between the rate of heat transfer and the driving temperature difference, and the entropy generation rate. In this study, we have investigated the characteristics of the first and the second law of thermodynamics in a situation, in which the compressible fluid flow is caused by moving an impermeable wall of a composite channel partially filled with a porous medium. Analytical expressions for velocity distribution, temperature distribution, rate of heat transfer, entropy generation number and Bejan number for both porous and clear fluid regions are obtained, and discussed.
plate and porous interface are obtained, and the effects of the various pertinent parameters are ... more plate and porous interface are obtained, and the effects of the various pertinent parameters are investigated and discussed.
The couette flow of a viscous fluid in a channel, partially filled with a porous medium has been ... more The couette flow of a viscous fluid in a channel, partially filled with a porous medium has been analyzed. The lower part of the channel is occupied by a porous medium, while the upper part is occupied by a clear fluid. The lower porous plate and the porous medium are fixed and a transverse sinusoidal injection velocity is applied at it, while the upper porous plate moves with a constant velocity and it is also subjected to a constant suction. The effects of the permeability of the porous medium, its thickness, effective viscosity and the injection parameter, on the flow are analyzed.
In a horizontal porous layer bounded by impermeable plates, the unsteady flow produced by an osci... more In a horizontal porous layer bounded by impermeable plates, the unsteady flow produced by an oscillatory motion of the lower plate, is considered. Channel plates are kept at different but constant temperatures. Both velocity and temperature slips are assumed partially at the channel walls. To account for radiation, Cogley equilibrium model is employed for radiative heat flux. Viscous dissipation is also considered in the analysis. The initial boundary value problem is solved numerically by the use of Crank-Nicolson implicit difference scheme. Effects of the pertinent parameters such as velocity and temperature slip parameters, radiation parameter, permeability of the porous medium and Brinkman number, are investigated on the flow and temperature fields and discussed graphically.
A theoretical analysis is made for a fully developed mixed convection viscous fluid flow between ... more A theoretical analysis is made for a fully developed mixed convection viscous fluid flow between two infinite vertical parallel plane walls, where a porous substrate of finite thickness is attached to the left vertical wall, in the presence of radiation and viscous dissipation effects. It is assumed that the viscous fluid is gray, absorbing-emitting radiation but a non-scattering medium. The Boussinesq approximation and Rosseland approximation are employed. The analytic expressions for temperature and velocity profiles are obtained and the effects of the permeability of the porous substrate, Grashof number, conduction-radiation parameter (stark number), and perturbation parameter on the flow and temperature fields and in the Nusselt number have been discussed.
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Papers by vikas agarwal
in terms of an asymptotic expansion for large Darcy numbers, assuming both velocity and temperature slip at the wall. The effects of slip and other parameters are examined on the Nusselt number and entropy generation rate. For small slip at the wall, it is noted that the velocity slip increases the Nusselt number and the temperature slip decreases it. The entropy generation number attains high values in the region close to
the channel wall and the velocity and temperature slip parameters reduce it.
the compressible fluid flow is caused by moving an impermeable wall of a composite channel partially filled with a porous medium. Analytical expressions for velocity distribution, temperature distribution, rate of heat transfer, entropy generation number and Bejan number for both porous and clear fluid regions are obtained, and discussed.
in terms of an asymptotic expansion for large Darcy numbers, assuming both velocity and temperature slip at the wall. The effects of slip and other parameters are examined on the Nusselt number and entropy generation rate. For small slip at the wall, it is noted that the velocity slip increases the Nusselt number and the temperature slip decreases it. The entropy generation number attains high values in the region close to
the channel wall and the velocity and temperature slip parameters reduce it.
the compressible fluid flow is caused by moving an impermeable wall of a composite channel partially filled with a porous medium. Analytical expressions for velocity distribution, temperature distribution, rate of heat transfer, entropy generation number and Bejan number for both porous and clear fluid regions are obtained, and discussed.