ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

307

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Publications Which contain the keyword: Finite Element Analysis


Finite Element Analysis of Thermoelastic Fiber-Reinforced Anisotropic Hollow Cylinder with Dual-Phase-Lag Model
In the present paper, we have constructed the equations for generalized thermoelasticity of a fiber-reinforced anisotropic hollow cylinder. The formulation is applied in the context of dualphase-lag model. An application of hollow cylinder is investigated for the outer surface is traction free and thermally isolated, while the inner surface is traction free and subjected to thermal shock. The problem is ... Read more

Finite element analysis of internal penny-shaped crack problem in an unbounded thermoelastic medium
In this article, the generalized thermoelastic theory with one relaxation time is used to investigate the internal penny-shaped crack problem in an unbounded thermoelastic material. The boundary of the crack is subjected to a prescribed stress distribution and temperature. The problem has been solved numerically using a finite element method. The results of the temperature, displacement components, and stress components ... Read more

2018-10-01 07:37:44 Keywords tissue, Finite Element Analysis, Viscoelsatic,
A 3‐D Model for Finite Viscoelsatic Swelling of Charged Tissues and Gels
Materials like soft biological tissues undergo large viscoelastic deformations during the swelling process. Following this, it is the goal of this contribution to merge the advances of finite viscoelasticity laws and the state of the art in electrochemical swelling theories within a well‐founded multiphasic concept. The numerical treatment is carried out fully 3‐d in the framework of the FEM. Read more

Finite element analysis of hydromagnetic flow and heat transfer of a heat generation fluid over a surface embedded in a non-Darcian porous medium in the presence of chemical reaction
An analysis is carried out to study the flow, chemical reaction and mass transfer of a steady laminar boundary layer of an electrically conducting and heat generating fluid driven by a continuously moving porous surface embedded in a non-Darcian porous medium in the presence of a transfer magnetic field. The governing partial differential equations are converted into ordinary differential equations ... Read more

Generalized magneto-thermoelasticity in a nonhomogeneous isotropic hollow cylinder using the finite element method
In this paper, we constructed the equations of generalized magneto-thermoelasticity in a perfectly conducting medium. The formulation is applied to generalizations, the Lord–Shulman theory with one relaxation time, and the Green–Lindsay theory with two relaxation times, as well as to the coupled theory. The material of the cylinder is supposed to be nonhomogeneous isotropic both mechanically and thermally. The problem ... Read more

Free convection MHD flow with thermal radiation from an impulsivelystarted vertical plate
This paper investigates the combined effects of magnetohydrodynamics and radiation on free convection flow past an impulsively started isothermal vertical plate with Rosseland diffusion approximation. The fluid considered is a gray, absorbingemitting radiation but a non-scattering medium, with approximate transformations the boundary layer governing the flow are reduced to non-dimensional equations valid in the free convection regime. The dimensionless governing ... Read more

Effect of thermal dispersion on free convection in a fluid saturated porous medium
The present article considers a numerical study of thermal dispersion effect on the non-Darcy natural convection over a vertical flat plate in a fluid saturated porous medium. Forchheimer extension is considered in the flow equations. The coefficient of thermal diffusivity has been assumed to be the sum of molecular diffusivity and the dispersion thermal diffusivity due to mechanical dispersion. The ... Read more

2018-10-01 15:25:25 Keywords Free convection, vertical plate, Finite Element Analysis,
Finite element analysis of transient free convection flow over vertical plate
A finite element method is used to study the heat-transfer response of an incompressible, laminar, transient free convection flow over a semi-infinite vertical plate. The non-dimensional governing equations are solved by the finite element method (FEM). The resulting non-linear integral equations are linearized and solved using the Newton–Raphson iteration. The resulting first-order ordinary differential equations with respect to time are ... Read more

A finite element study of unsteady free convection heat and mass transfer in a Walters-B viscoelastic flow past a semi-infinite vertical plate
A numerical solution for the free convective, unsteady, incompressible, laminar convective heat and mass transfer in a viscoelastic fluid along an impulsively started vertical plate with variable temperature and concentration in considered. The rheology of the fluid is studied through the Walters' (model B) to simulate medical creams, biotechnology and chemical engineering. The governing boundary layer equations are reduced to ... Read more