# Gamal M.Abdel-Rahman RashedBenha University · Department of Mathematics

Gamal M.Abdel-Rahman Rashed

Professor

## About

41

Publications

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Introduction

**Skills and Expertise**

## Publications

Publications (41)

The aim of the present paper is to study the numerical solutions of the steady magnetohydrodynamic and heat
generation effects on anon-Newtonian fluid with radiation through a porous medium by a stretching cylinder.
The governing continuity, momentum, and energy equations are converted into a system of non-linear ordinary
differential equations by...

The present work, the entropy generation due to radiation and variable viscosity magnetohydrodynamic effects with a porous medium in a circular pipe, has been obtained and studied numerically. The governing continuity, momentum, and energy equations in cylindrical coordination are converted into a system of nonlinear ordinary differential equations...

The effect of thermophoresis on a magnetic field generation in a non‐Daracian porous medium flow with the variation of the viscosity fluid in the presence of Soret and Dufour, thermal reaction and diffusion effects over a stretching surface is investigated in the present analysis. The governing equations of continuity, momentum, energy, and concent...

We in this study investigated Brownian motion and thermophoresis effects embedded in a porous medium flow with heat transfer generation and chemical reaction on a stretching sheet and Jeffrey fluid model for viscoelastic nanofluid under the effects of magnetic field and thermal radiation. The nanofluid was assumed incompressible and the flow was la...

We in this study investigated Brownian motion and thermophoresis effects embedded in a porous medium flow with heat transfer generation and chemical reaction on a stretching sheet and Jeffrey fluid model for viscoelastic nanofluid under the effects of magnetic field and thermal radiation. The nanofluid was assumed incompressible and the flow was la...

In this paper, we discuss thin‐film nanofluid sprayed in non‐Darcian, magnetohydrodynamic, embedding in a porous medium flow and thermal radiation with heat transfer generation on a stretching cylinder. The spray rate is a function of film size. A comparative study is made for the nanoparticles, namely, copper oxide , alumina oxide (), and iron oxi...

The effects of magnetohydrodynamic, porosity with variable thermos-physical properties on the entropy generation rate and Bejan number in an unsteady flow under the influence of radiation and heat generation through a channel with permeable walls have been studied. The flow equations to momentum and energy are solved numerically. Numerical results...

The effects of magnetohydrodynamic, thermal radiation and heat generation on entropy generation of a Jeffrey fluid through a non-Darcian porous medium have been studied. Continuity, momentum and energy equations are solved numerically. The expressions of the entropy generation are presented and results are discussed numerically for the different pa...

Diffusion and radiation on unsteady nanofluid in porous medium between two parallel disks with chemical reaction are considered in this study. The resulting problems are solved numerically. Graphical results for various interesting parameters are presented. Also the effects of the different parameters of the problem on velocity, temperature, nanopa...

The unsteady magnetohydrodynamic flow of a non-Newtonian nanofluid with thermal radiation effects in non-Darcian porous medium over stretching surface has been studied. A comparative study is made for the nanoparticles namely; Copper (Cu), Alumina (AL2O3) and Titanium Oxide (TiO2). The basic equations are solved numerically. Numerical results are p...

Chemical entropy generation and magnetohydrodynamic effects on the unsteady heat and fluid flow through a porous medium have been numerically investigated. The entropy generation due to the use of a magnetic field and porous medium effects on heat transfer, fluid friction, and mass transfer have been analyzed numerically. Using a similarity transfo...

This paper describes the studied effects of thermal radiation and chemical reaction on unsteady MHD non-Newtonian (obeying Walter’s B model) fluid in porous medium. The resulting problems are solved numerically. Graphical results for various interesting parameters are presented. Also the effects of the different parameters on the skin-friction and...

In this paper, the magnetohydrodynamic effects on heat transfer and thermal radiation at a stagnation point flowing in a nanofluid containing different types of nanoparticles namely, copper (Cu ), alumina ( Al2o3 ) and titania (Tio2 ) through a porous medium have been investigated numerically. By using appropriate transformation for velocity and te...

Unsteady boundary layer flow of non-Newtonian fluid obeying power law model in the presence of an external magnetic field is solved numerically. The nonlinear equation of motion is transformed to a ordinary differential equation by using similarity solutions. Numerical results were presented in each of these forms velocity profile and the skin fric...

The problem of thermal radiation and unsteady magnetohydrodynamic flow of a porous medium by a nanofluid past a stretching of a sheet has been investigated numerically. The model used for the nanofluid incorporates the effect of Brownian motion and thermophoresis. By using similarity analysis, the governing differential equations are transformed in...

The unsteady flow and heat transfer in an incompressible laminar, electrically conducting and non-Newtonian fluid over a non-isothermal stretching sheet with the variation in the viscosity and thermal conductivity in a porous medium by the influence of an external transverse magnetic field have been obtained and studied numerically. By using simila...

In this paper, the joule heating and magnetic field effects on the mixed convection two-dimensional boundary layer flow of a micropolar fluid near the stagnation point over a stretching vertical sheet in the presence of heat generation have been obtained and studied numerically. The governing continuity, momentum and energy equations are converted...

In this paper, the thermal radiation and magnetic field effects on unsteady heat, mass, and fluid flow over a horizontal stretching surface have been obtained and studied numerically. The governing continuity, momentum, energy, and concentration equations were converted into a system of nonlinear ordinary differential equations by means of similari...

A numerical study of the heat transfer in a hydromagnetic flow of a micropolar fluid over a stretching surface with variable heat flux in presence of heat generation has been done. The governing partial differential equations are transformed into a system of ordinary differential equations using similarity variability, and then solved numerically b...

In This paper, we deal with the study of the effect of magnetohydrodynamic on thin films of unsteady mi-cropolar fluid through a porous medium. These Thin films are considered for three different geometries. The governing continuity, momentum and angular momentum equations are converted into a system of non-lin-ear ordinary differential equations b...

In this paper, the magnetic field effects on non-Newtonian power-law fluids for heat transfer over a stretching flat sheet in the presence of heat generation are studied numerically. The governing continuity, momentum, and energy equations are converted into a system of non-linear ordinary differential equations by means of similarity transformatio...

In this paper, the thermal-diffusion and magnetic field effects on a stagnation point flowing over a flat stretching surface have been obtained and studied numerically with the variation of the viscosity under the Soret and Dufour's effects. The governing continuity, momentum, energy and concentration equations are converted into a system of non-li...

This paper deals with the study of the effect of MHD on thin films of a micropolar fluid. These thin films are considered for three different geometries, namely: (i) flow down an inclined plane, (ii) flow on a moving belt and (iii) flow down a vertical cylinder. The transformed boundary layer governing equations of a micropolar fluid and the result...

The effect of a magnetic field on a micropolar fluid flow in the vicinity of an axisymmetric stagnation point on a circular cylinder is studied numerically. The governing conservation equations of continuity, momentum and angular momentum are partial differential equations which are transformed into a system of ordinary differential equations by us...

The Reynolds equation for studying fluid squeeze of aerostatic journal bearing is solved numerically by considering the quasi-steady behavior of the air film. The radial displacement can influence the air film thickness modifying the pressure distribution in the journal-bearing gap. Also, the variations in the seal characteristics with eccentricity...

The problem of thermal diffusion and magnetic field effects on combined free-forced convection and mass transfer flow past a vertical porous flat plate, in the presence of heat generation is studied numerically. The governing momentum, energy and concentration equations are converted into a system of nonlinear ordinary differential equations by mea...

The Reynolds equation for misaligned radial face seals coning is solved numerically, and the squeeze effects on the separating forces and tilting moments are studied. Also, the variations in the seal characteristics with eccentricity, thin film thickness and radius ratio are presented. The numerical results for the forces and moments are given in n...

In this paper, we shall use the Pop method [8] to solve equation of unsteady motion of a non-Newtonian fluid between two infinitely extended parallel plates in the presence of an external magnetic field, when upper plate is moving with uniform velocity and the lower plate is performing linear oscillations in its own plane. This method is demonstrat...

This paper concerns the analytical study of the non-isothermal flow of a non-Newtonian power law lubricant through the gap of a conical bearing when an external magnetic field is applied. At first, the more general basic equations of motion, continuity and energy in curvilinear form in the width direction are derived. Then, as a special case, a con...

In this paper, we shall use the averaged clearance method to solve the equation of stationary pressure distribution in the flow between the conic bodied and realized in a PC (IBM computer system). This method take into accounts of quantity, location and dimensions of the feeders, in case of the flow in thin films between the immobile conic surfaces...

In this paper , the unsteady flow of non - Newtonian fluid through a porous medium when an external magnetic field is applied is investigated. The non linear equation of motion is transformed to a similarity differential equation which is solved using the method of successive approximations. The rheological effects are shown and discussed on the ve...

In this paper, the non steady flow of non-Newtonian power-law conducting fluid through a porous medium past an infinite porous plate is investigated. The system is stressed by a constant transverse magnetic field. The velocity outside the boundary layer depends exponentially on time. The rheological effects are shown and discussed on the shear stre...

The flow of a power law fluid past a symmetrical wedge is studied in the neighbourhood of the stagnation point when an external magnetic field is applied. The nonlinear equation of motion is transformed to a similarity differential equation which is solved using the method of successive approximations. The analytical solutions found by this method...

The fully developed in the unsteady flow of the convection micropolar fluid between two vertical porous parallel plates under external magnetic field is studied in the presence of temperature dependents time and heat sources including the effect of frictional heating. The basic equations which is solved by PoP method. The analytical solutions of th...