Effects of variable viscosity and viscous dissipation on the flow of a third grade fluid in a pipe

Massoudi, Mehrdad; Christie, I.

doi:10.1016/0020-7462(95)00031-i

Cited by 162 publications

(84 citation statements)

References 11 publications

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“…Makinde [12,13] investigated the thermal effects of reactive viscous flows through channels filled with porous media under isothermal wall conditions. As noted, several studies involving heat and mass transfer in Newtonian and non-Newtonian fluids [14][15][16] have been conducted but most lack a systematic and rational treatment of the thermodynamics of the problem with respect to the combined effects of porous walls, wall slip, unsteadiness, variable viscosity and asymmetric convective boundary conditions on the flow system.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Entropy Generation Rate in an Unsteady Porous Channel Flow with Navier Slip and Convective Cooling

Chinyoka

Makinde

2013

Entropy

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This study deals with the combined effects of Navier Slip, Convective cooling, variable viscosity, and suction/injection on the entropy generation rate in an unsteady flow of an incompressible viscous fluid flowing through a channel with permeable walls. The model equations for momentum and energy balance are solved numerically using semi-discretization finite difference techniques. Both the velocity and temperature profiles are obtained and utilized to compute the entropy generation number. The effects of key parameters on the fluid velocity, temperature, entropy generation rate and Bejan number are depicted graphically and analyzed in detail.

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Section: Introductionmentioning

confidence: 99%

Analysis of Entropy Generation Rate in an Unsteady Porous Channel Flow with Navier Slip and Convective Cooling

Chinyoka

Makinde

2013

Entropy

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“…In an attempt to improve the characteristics of the viscoelastic properties of the fluid, the stability of the third-grade fluid model was studied by Fosdick and Rajagopal [1] while Majhi and Nair [2] investigated the effects of stenotic geometry and the non-Newtonian parameter of the third-grade fluid on the resistive impedance and wall shearing stress. Their results were compared with similar study submitted by Massoudi and Christie [3] who presented the numerical solutions on the effects of variable viscosity and viscous dissipation on the flow of third-grade fluid in a pipe using the finite difference method. Yürüsoy and Pakdemirli [4] developed approximate analytical solution for the flow of the third-grade fluid in a pipe using constant viscosity model and variable viscosity models under no slip condition while Vajravelu et al [5] presented a numerical solution for the thirdgrade fluid flows between rotating cylinder using Schauder theory and perturbation technique.…”

Section: Introductionmentioning

confidence: 94%

Perturbation Solutions for Hagen-Poiseuille Flow and Heat Transfer of Third-Grade Fluid with Temperature-Dependent Viscosities and Internal Heat Generation

Ogunmola

Akinshilo

Sobamowo

2016

International Journal of Engineering Mathematics

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Regular perturbation technique is applied to analyze the fluid flow and heat transfer in a pipe containing third-grade fluid with temperature-dependent viscosities and heat generation under slip and no slip conditions. The obtained approximate solutions were used to investigate the effects of slip on the heat transfer characteristics of the laminar flow in a pipe under Reynolds's and Vogel's temperature-dependent viscosities. Also, the effects of parameters such as variable viscosity, non-Newtonian parameter, viscous dissipation, and pressure gradient at various values were established. The results of this work were compared with the numerical results found in literature and good agreements were established. The results can be used to advance the analysis and study of the behavior of third-grade fluid flow and steady state heat transfer processes such as those found in coal slurries, polymer solutions, textiles, ceramics, catalytic reactors, and oil recovery applications.

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“…We now introduce the following relations for (see e.g., Massoudi and Christe [11], Nadeem and Ali [13], Okoya [15]) and Pardemirli and Yilbas [16]. Our adopted model (10) does not differ at all with all the model mentioned above.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Analysis on Variable Fluid Viscosity of Non-Darcian Flow over a Moving Vertical Plate in a Porous Medium with Suction and Viscous Dissipation

Animasaun¹

2014

IOSRJEN

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-An analysis is carried out to study free convective flow and heat transfer of a viscous incompressible fluid over a linearly moving vertical porous plate with suction and viscous dissipation. The fluid viscosity is assumed to vary as a linear function of temperature. The governing boundary layer equations are reduced to boundary value problem using the concept of similarity transformations. The corresponding coupled ordinary differential equation is solved numerically using the Runge Kutta fourth order method along with shooting technique. Graphical results for the dimensionless velocity and temperature distributions are shown for various values of the thermophysical parameters controlling the flow regime. Numerical values of physical quantities such as the local Skin-friction coefficient and the Local Nusselt number are presented in tabular form.

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Effects of variable viscosity and viscous dissipation on the flow of a third grade fluid in a pipe

Cited by 162 publications

References 11 publications

Analysis of Entropy Generation Rate in an Unsteady Porous Channel Flow with Navier Slip and Convective Cooling

Analysis of Entropy Generation Rate in an Unsteady Porous Channel Flow with Navier Slip and Convective Cooling

Perturbation Solutions for Hagen-Poiseuille Flow and Heat Transfer of Third-Grade Fluid with Temperature-Dependent Viscosities and Internal Heat Generation

Analysis on Variable Fluid Viscosity of Non-Darcian Flow over a Moving Vertical Plate in a Porous Medium with Suction and Viscous Dissipation

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