Heat transfer of Cu-water nanofluid flow between parallel plates

This paper reports the heat and mass transfer characteristics in a viscous fluid which is squeezed between parallel plates. The governing partial differential equations for unsteady two-dimensional flow with heat and mass transfer of a viscous fluid are reduced to ordinary differential equations by similarity transformations. Homotopy analysis method (HAM) is employed to construct the series solution of the problem. Physical interpretation to various embedding parameters is assigned through graphs for temperature and concentration profiles and tables for skin friction coefficient, local Nusselt number and local Sherwood number.

On heat and mass transfer in the unsteady squeezing flow between parallel plates

In the present work, the effect of MHD flow and heat transfer within a boundary layer flow on an upper-convected Maxwell (UCM) fluid over a stretching sheet is examined. The governing boundary layer equations of motion and heat transfer are non-dimensionalized using suitable similarity variables and the resulting transformed, ordinary differential equations are then solved numerically by shooting technique with fourth order Runge–Kutta method. For a UCM fluid, a thinning of the boundary layer and a drop in wall skin friction coefficient is predicted to occur for higher the elastic number. The objective of the present work is to investigate the effect of Maxwell parameter β, magnetic parameter Mn and Prandtl number Pr on the temperature field above the sheet.

MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet

This paper deals with the steady two-dimensional stagnation point flow of nanofluid toward an exponentially stretching sheet with nonuniform heat generation/absorption. The employed model for nanofluid includes two-component four-equation nonhomogeneous equilibrium model that incorporates the effects of Brownian diffusion and thermophoresis simultaneously. The basic partial boundary layer equations have been reduced to a two-point boundary value problem via similarity variables and solved analytically via HAM. Effects of governing parameters such as heat generation/absorption λ, stretching parameter e, thermophoresis , Lewis number Le, Brownian motion , and Prandtl number Pr on heat transfer and concentration rates are investigated. The obtained results indicate that in contrast with heat transfer rate, concentration rate is very sensitive to the abovementioned parameters. Also, in the case of heat generation , despite concentration rate, heat transfer rate decreases. Moreover, increasing in stretching parameter leads to a gentle rise in both heat transfer and concentration rates.

/pdf/stagnation-point-flow-of-a-nanofluid-toward-an-exponentially-3q7oo0k4vb.pdf

Stagnation Point Flow of a Nanofluid toward an Exponentially Stretching Sheet with Nonuniform Heat Generation/Absorption

This paper presents a thermal and flow analysis of an unsteady squeezing nanofluid flow and heat transfer using nanofluid based on Brinkman model in presence of variable magnetic field. Galerkin Method (GM) is used to solve the nonlinear differential equations governing the problem. Squeezing flow between parallel plates are very applicable in the many industries and it means that one or both of the parallel plates have vacillation. The effects of active parameters such as the Hartman number, squeeze number and heat source parameter are discussed. Results for temperature distribution and velocity profile, Nusselt number and skin friction coefficient by Galerkin Method (GM) are presented. As can be seen in results, the values of Nusselt number and skin friction coefficient for CuO is better than Al 2 O 3 ’s. Also, according to figures, as nanofluid volume fraction increases, Nusselt number increases and skin friction coefficient decreases, increase in the Hartman number results in an increase in velocity and temperature profiles and an increase in squeeze number can be associated with the decrease in the velocity.

Unsteady squeezing nanofluid simulation and investigation of its effect on important heat transfer parameters in presence of magnetic field

Three analytical methods applied to Jeffery-Hamel flow

Homotopy analysis method (HAM) is employed to investigate the effect of chemical reaction on free convective flow and mass transfer of a viscous, incompressible and electrically conducting fluid over a stretching surface in the presence of a constant transverse magnetic field. Analytical results are presented for gases with a Prandtl number of 0.71 for various values of chemical reaction parameter, order of reaction, magnetic parameter and Schmidt number. From this investigation it is obtained that velocity, temperature and concentration have direct relation with chemical reaction parameter, γ . Magnetic parameter has direct relation with temperature and concentration, but results of velocity profile are inverse. Schmidt number increment also increases temperature boundary layer and decreases velocity and concentration profiles.

Analytical treatment of MHD free convective flow and mass transfer over a stretching sheet with chemical reaction

In this research the steady three-dimensional flow of a Walter’s B fluid in a vertical channel with porous wall, through which the fluid is injected uniformly into the channel through one side of the channel, is studied analytically using Homotopy Analysis Method (HAM). The channel is assumed to be infinite and uniform. The effects of the elasticity of the fluid on the flow and heat transfer on the walls of the channel are discussed.

/pdf/homotopy-analysis-method-to-walter-s-b-fluid-in-a-vertical-92kqp52eqx.pdf

Homotopy Analysis Method to Walter’s B fluid in a vertical channel with porous wall

This paper studied on magnetohydrodynamics flow and heat transfer outside a stretching cylinder. Momentum and energy equations are reduced using similarity transformation and converted into a system of ordinary differential equations which are solved analytically by the homotopy analysis method. The effects of the parameters involved, namely the magnetic parameter (M), Prandtl number (Pr) and Reynolds number (Re) on the velocity and temperature fields are investigated.

The obtained results are valid for the whole solutions' domain with high accuracy. These methods can be easily extended to other linear and nonlinear equations and so can be found widely applicable in engineering and sciences. Copyright © 2009 John Wiley & Sons, Ltd.

Analytical treatment on magnetohydrodynamic (MHD) flow and heat transfer due to a stretching hollow cylinder

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.

G. Domairry

Papers

Three analytical methods applied to Jeffery-Hamel flow

Analytical treatment of MHD free convective flow and mass transfer over a stretching sheet with chemical reaction

Homotopy Analysis Method to Walter’s B fluid in a vertical channel with porous wall

Analytical treatment on magnetohydrodynamic (MHD) flow and heat transfer due to a stretching hollow cylinder

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