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Effect of mass transfer on a flow in the magnetohydrodynamic squeeze film between two parallel disks with one porous disk

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TLDR
In this article, an analysis has been performed on the magnetohydrodynamic squeeze flow between two parallel disks with the porosity of the disks taken into account, and an approximate analytical solution via homotopy analysis method (HAM) is obtained, and the accuracy of this method has been verified by implemented numerical method.
Abstract
An analysis has been performed on the magnetohydrodynamic squeeze flow between two parallel disks with the porosity of the disks taken into account. The disks, at time t*, are spaced a certain distance and a magnetic field is applied perpendicular to the disks. Approximate analytical solution via homotopy analysis method (HAM) is obtained, and the accuracy of this method has been verified by implemented numerical method. The effects of suction or injection, squeeze Reynolds number, and Hartmann number on the velocity profiles are studied.

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Heat transfer of Cu-water nanofluid flow between parallel plates

TL;DR: In this paper, the effects of the squeeze number, the nanofluid volume fraction and Eckert number and δ on Nusselt number were investigated, and the results showed that Nussellt number has a direct relationship with nanoparticle volume fraction, δ, the squeeze and EKN when two plates are separated but it has reverse relationship with the squeeze when two plate are squeezed.
Journal ArticleDOI

Effect of variable lorentz forces on nanofluid flow in movable parallel plates utilizing analytical method

TL;DR: In this article, the effect of Brownian motion and thermophoresis phenomenon and Lewis number on MHD nanofluid flow along with the heat transfer between two parallel plates was examined.
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Heat transfer and nanofluid flow in suction and blowing process between parallel disks in presence of variable magnetic field

TL;DR: In this paper, a variable magnetic field is applied to the lower stationary disk and the upper disk can move towards or away from the lower disk, and the accuracy of results is examined by fourth order Runge-Kutta numerical method, then the influence of the Squeeze number (S), Hartmann number (M), Brownian motion parameters (Nb), thermophrotic parameter (Nt), Nusselt number (Nu), Sherwood number (Shr), non-dimensional temperature, velocity and nanoparticle concentration are investigated.
Journal ArticleDOI

On the analytic solutions for squeezing flow of nanofluid between parallel disks

TL;DR: In this article, the magnetohydrodynamic squeezing flow of nanofluid between parallel disks is investigated and the convergence analysis is performed and optimal values of the convergence control parameters are determined.
Journal ArticleDOI

Nonlinear radiation effects on squeezing flow of a Casson fluid between parallel disks

TL;DR: In this paper, the authors investigate the nonlinear radiation effects in a time-dependent two-dimensional flow of a Casson fluid squeezed between two parallel disks when the upper disk is taken to be impermeable and the lower one is porous.
References
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Book

Perturbation Methods

Ali H. Nayfeh, +1 more
TL;DR: This website becomes a very available place to look for countless perturbation methods sources and sources about the books from countries in the world are provided.
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Variational iteration method: New development and applications

TL;DR: The basic conceptual framework of variational iteration technique with application to nonlinear problems is outlined and a very useful formulation for determining approximately the period of a nonlinear oscillator is suggested.
Journal ArticleDOI

Application of Optimal Homotopy Asymptotic Method for solving nonlinear equations arising in heat transfer

TL;DR: In this paper, the Optimal Homotopy Asymptotic Method (OHAM) is used to solve nonlinear equations arising in heat transfer, which provides a convenient way to control the convergence of approximation series and adjust convergence regions when necessary.
Journal ArticleDOI

Homotopy analysis method for quadratic Riccati differential equation

TL;DR: In this paper, the homotopy analysis method (HAM) was used to solve the quadratic Riccati differential equation (QRDE) by means of an analytic technique.
Journal ArticleDOI

Differential Transformation Method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity

TL;DR: In this article, the authors used a simulation method called the Differential Transformation Method (DTM) to solve the fin efficiency of convective straight fins with temperature-dependent thermal conductivity.
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