Generalized Magneto-Thermoelasticity with Fractional Derivative Heat Transfer for a Rotation of a Fibre-Reinforced Thermoelastic

Abstract

An electro-magneto thermoelastic coupled problem for a homogeneous, isotropic, thermally and electrically conducting half-space solid whose surface is subjected to a thermal shock is considered in two-dimensional space. We introduced the coupled theory (CD), Lord-Schulman (LS) theory and Green-Lindsay (GL) theory to study the influence of fractional derivative heat transfer allowing the second sound effects of magnetic field and rotation on 2-D problem of a fibre-reinforced thermoelastic. The methodology applied here is use of the normal mode analysis is used to solve the problem of a thermal shock problem. Some particular cases are also discussed in the context of the problem. Deformation of a body depends on the nature of force applied as well as the type of boundary conditions. The numerical estimates of the quantities of physical interest are obtained and depicted graphically. Some comparisons have been shown in figures to estimate the effect of the fractional order on all the studied fields.

Dispersive Optical Solitons with Differential Group Delay Having Multiplicative White Noise by Itô Calculus

“…One of the major issues that arise in soliton propagation through optical fibers across inter-continental distances [1][2][3][4][5][6][7][8][9][10][11] is the depletion of the chromatic dispersion (CD) count. There are several countermeasures that have been adopted in the telecommunications industry to circumvent this situation.…”

Plane waves in temperature dependent hygrothermoelastic medium under the influence of gravity—Analytical and numerical approach

“…A model showing the dependence of thermal conductivity and modulus of elasticity on temperature was developed, and the problem of an infinite material with a spherical cavity was solved by Youssef [31]. Some other authors working in this field have been listed at [32][33][34][35][36][37][38][39][40]. Deswal et al [41] discussed the propagation of plane waves in a nonlocal, microstretch thermoelastic half-space with temperature-dependent properties.…”

“…A model showing the dependence of thermal conductivity and modulus of elasticity on temperature was developed, and the problem of an infinite material with a spherical cavity was solved by Youssef [31]. Some other authors working in this field have been listed at [32–40]. Deswal et al.…”

The influence of rotation and viscosity on generalized conformable fractional micropolar thermoelasticity with two temperatures

“…The study of fractional calculus, a subject that has garnered significant attention from mathematicians, engineers, and physicians, involves the investigation of mathematical analysis utilizing differential operators of any order. The fractional calculus has extended the usual definitions of integer order integrals and derivatives in ordinary differential calculus by transforming them into real-order operators [1][2][3][4][5][6].…”

“…The current study seeks to determine the physical quantities, such as viscosity, rotation, conformable fractional parameter, and two-temperatures, in a homogeneous, isotropic, micropolar thermoelastic material [1,[34][35][36][37][38][39][40].…”