Next Article in Journal
Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract
Next Article in Special Issue
Characterization of the Functionally Graded Shear Modulus of a Half-Space
Previous Article in Journal
Computation of Analytical Zoom Locus Using Padé Approximation
Previous Article in Special Issue
Mathematical Models with Buckling and Contact Phenomena for Elastic Plates: A Review
Open AccessArticle

Photo-Thermal Interactions in a Semiconducting Media with a Spherical Cavity under Hyperbolic Two-Temperature Model

1
Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah 21521, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 585; https://doi.org/10.3390/math8040585
Received: 23 March 2020 / Revised: 3 April 2020 / Accepted: 8 April 2020 / Published: 15 April 2020
(This article belongs to the Special Issue Applied Mathematical Methods in Mechanical Engineering)
This article highlights the study of photo-thermoelastic interaction in an unbounded semiconductor medium containing a spherical cavity. This problem is solved using the new hyperbolic two-temperature model. The bounding surface of the cavity is traction free and loaded thermally by exponentially decaying pulse boundary heat flux. In addition, the carrier density is prescribed on the inner surface of the cavity in terms of the recombination speed. The techniques of Laplace transforms are used to get the analytical solutions of the problem in the transformed domain by the eigenvalues method. The inversions of Laplace transformations have been carried out numerically. The outcomes also display that the analytical schemes can overcome the mathematical problem to analyze this problem. Numerical outcomes for a semiconductor material are performed and demonstrated graphically. According to the numerical results, this new hyperbolic two-temperature model of thermoelasticity offers finite speed of the thermal wave and mechanical wave propagation. View Full-Text
Keywords: Laplace transforms; hyperbolic two-temperature; spherical cavity; eigenvalues method; semiconductor medium Laplace transforms; hyperbolic two-temperature; spherical cavity; eigenvalues method; semiconductor medium
Show Figures

Figure 1

MDPI and ACS Style

Alzahrani, F.S.; Abbas, I.A. Photo-Thermal Interactions in a Semiconducting Media with a Spherical Cavity under Hyperbolic Two-Temperature Model. Mathematics 2020, 8, 585.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop