Approximate Analytical Solutions for Flow of a Third-Grade Fluid Through a Parallel-Plate Channel Filled with a Porous Medium

Aksoy, Yiğit; Pakdemi̇rli̇, Mehmet

doi:10.1007/s11242-009-9447-5

Cited by 39 publications

(16 citation statements)

References 25 publications

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“…MHD flow of third grade fluid with variable viscosity has been investigated by Elahi and Riaz [8]. The approximate analytical solution of the third-grade fluid filled with a porous medium through a parallel plate has been found by Aksoy et al [9].…”

Section: Introductionmentioning

confidence: 99%

Numerical and Analytical Investigation of an Unsteady Thin Film Nanofluid Flow over an Angular Surface

Rasheed

Khan

et al. 2019

Processes

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In the present study, we examine three-dimensional thin film flow over an angular rotating disk plane in the presence of nanoparticles. The governing basic equations are transformed into ordinary differential equations by using similarity variables. The series solution has been obtained by the homotopy asymptotic method (HAM) for axial velocity, radial velocity, darning flow, induced flow, and temperature and concentration profiles. For the sake of accuracy, the results are also clarified numerically with the help of the BVPh2- midpoint method. The effect of embedded parameters such as the Brownian motion parameter Nb, Schmidt number Sc, thermophoretic parameter and Prandtl number Pr are explored on velocity, temperature and concentration profiles. It is observed that with the increase in the unsteadiness factor S, the thickness of the momentum boundary layer increases, while the Sherwood number Sc, with the association of heat flow from sheet to fluid, reduces with the rise in S and results in a cooling effect. It is also remarkable to note that the thermal boundary layer increases with the increase of the Brownian motion parameter Nb and Prandtl number Pr, hindering the cooling process resulting from heat transfer.

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Section: Introductionmentioning

confidence: 99%

Numerical and Analytical Investigation of an Unsteady Thin Film Nanofluid Flow over an Angular Surface

Rasheed

Khan

et al. 2019

Processes

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“…Closed form solutions for the velocity and temperature profiles were obtained for a particular viscoelastic fluid between two oscillatory walls in the presence of transverse magnetic field by Ajadi [2], where the flow is due to the continous movement of the oscillatory wall and the time dependent pressure gradient and there is a monotonic decrease in velocity with time in the domain while the viscoelastic fluid velocity decreases as the distance from the wall decreases while it is on the contrary for the non-viscoelastic fluid   E 0  . Aksoy and Pakdemili [3] investigated the flow of a non-Newtonian fluid through porous media between two parallel plates at different temperatures. The governing momentum equation of a third grade fluid with modified Darcy's law and energy equation were derived.…”

Section: Introductionmentioning

confidence: 99%

Thermal Radiation and Chemical Reaction Effects on Unsteady Magnetohydrodynamic Third Grade Fluid Flow Between Stationary and Oscillating Plates

Idowu

Sani

2019

International Journal of Applied Mechanics and Engineering

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An analysis was carried out for an unsteady magnetohydrodynamic(MHD) flow of a generalized third grade fluid between two parallel plates. The fluid flow is a result of the plate oscillating, moving and pressure gradient. Three flow problems were investigated, namely: Couette, Poiseuille and Couette-Poiseuille flows and a number of nonlinear partial differential equations were obtained which were solved using the He-Laplace method. Expressions for the velocity field, temperature and concentration fields were given for each case and finally, effects of physical parameters on the fluid motion, temperature and concentration were plotted and discussed. It is found that an increase in the thermal radiation parameter increases the temperature of the fluid and hence reduces the viscosity of the fluid while the concentration of the fluid reduces as the chemical reaction parameter increases.

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“…Islam et al [3] studied third-grade fluid with heat transfer. Aksoy and Pakdemirli [4] investigated the third-grade fluid flow in parallel plates with a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Two-Phase Flow in Wire Coating with Heat Transfer Analysis of an Elastic-Viscous Fluid

Zeeshan

Shah

Islam

et al. 2016

Advances in Mathematical Physics

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This work considers two-phase flow of an elastic-viscous fluid for double-layer coating of wire. The wet-on-wet (WOW) coating process is used in this study. The analytical solution of the theoretical model is obtained by Optimal Homotopy Asymptotic Method (OHAM). The expression for the velocity field and temperature distribution for both layers is obtained. The convergence of the obtained series solution is established. The analytical results are verified by Adomian Decomposition Method (ADM). The obtained velocity field is compared with the existing exact solution of the same flow problem of second-grade fluid and with analytical solution of a third-grade fluid. Also, emerging parameters on the solutions are discussed and appropriate conclusions are drawn.

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Approximate Analytical Solutions for Flow of a Third-Grade Fluid Through a Parallel-Plate Channel Filled with a Porous Medium

Cited by 39 publications

References 25 publications

Numerical and Analytical Investigation of an Unsteady Thin Film Nanofluid Flow over an Angular Surface

Numerical and Analytical Investigation of an Unsteady Thin Film Nanofluid Flow over an Angular Surface

Thermal Radiation and Chemical Reaction Effects on Unsteady Magnetohydrodynamic Third Grade Fluid Flow Between Stationary and Oscillating Plates

Two-Phase Flow in Wire Coating with Heat Transfer Analysis of an Elastic-Viscous Fluid

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