ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

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Publications Which contain the keyword: moving heat source

Theoretical analysis of thermal damages in skin tissue induced by intense moving heat source

2018-10-14 08:07:11 Keywords thermal damages, moving heat source, skin tissue,
Theoretical analysis of thermal damages in skin tissue induced by intense moving heat source
In this paper, the analytical solution of hyperbolic bio-heat equation under intense moving heat source is presented. The exact solution in the domain of Laplace's transform is obtained. The thermal damages to the tissues are evaluated by the extent of the denatured protein employing with the Arrhenius equation. The results indicate that the hyperbolic bio-heat model reduces to the parabolic ... Read more

Thermoelastic interactions in an isotropic unbounded medium due to moving heat source using GNIII model

2018-10-02 17:17:03 Keywords heat source, unbounded medium, Thermoelastic, GNIII model, moving heat source,
Thermoelastic interactions in an isotropic unbounded medium due to moving heat source using GNIII model
In this work, we study a problem of thermoelastic interaction due to moving heat source in an isotropic infinite medium under Green and Naghdi model of type III (GNIII). The form of vector-matrix differential equation in the Laplace transform domain, the basic equations have been written, which is then solved by an eigenvalue technique. The analytical solution in the Laplace ... Read more

A GN model for thermoelastic interaction in a microscale beam subjected to a moving heat source

2018-10-02 17:03:08 Keywords Thermoelastic, microscale beam, moving heat source,
A GN model for thermoelastic interaction in a microscale beam subjected to a moving heat source
In this study, the problem of thermoelastic interaction in a microscale beam subjected to a moving heat source in the context of Green and Naghdi theory type III is investigated. The both ends of the microscale beam are clamped and thermally isolated. The basic equations have been written in the form of a vector-matrix differential equation in the Laplace transform ... Read more

Eigenvalue approach to fractional order generalized magneto-thermoelastic medium subjected to moving heat source

2018-10-02 16:59:17 Keywords eigenvalue approach, moving heat source, Magneto-Thermoelastic, fractional order,
Eigenvalue approach to fractional order generalized magneto-thermoelastic medium subjected to moving heat source
In the present work, we consider the problem of fractional order thermoelastic interaction in a material placed in a magnetic field and subjected to a moving plane of heat source. The basic equations have been written in the form of a vector–matrix differential equation in the Laplace transform domain, which is then solved by an eigenvalue approach. The inverse Laplace ... Read more

The effects of relaxation times and moving heat source on two-temperature generalized thermoelastic thin slim strip

2018-10-02 16:55:56 Keywords thin slim strip, Thermoelastic, Two-temperature, moving heat source, Relaxation Times,
The effects of relaxation times and moving heat source on two-temperature generalized thermoelastic thin slim strip
The problem of two-temperature generalized thermoelastic thin slim strip is investigated in the context of Green and Lindsay theory. As an application of the problem, a particular type of moving heat source is considered and the problem is solved analytically by using the eigenvalue approach in the Laplace transforms domain. The displacement, conductive temperature, thermodynamic temperature, and stress are obtained. ... Read more

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