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Purpose: <p>This article aims to examine the Hall current influence on thermoelastic wave behavior under viscoelastic fractional order rotating porous diffusive isotropic medium. Furthermore, the problem of quasi-longitudinal wave reflection at a solid half-space of the considered medium that is stress-free is examined.</p> Methods: <p>The system has been decomposed into longitudinal and transverse components using the Helmholtz decomposition theorem. The wave-proposed solution is utilized to convert the partial differential equations into algebraic equations. The propagation speed and amplitude ratios of the reflected waves have been solved analytically and also depicted graphically.</p> Results and Conclusion: <p>When an incident longitudinal wave strikes with the boundary, five types of reflected coupled quasi-waves have been observed propagating through this type of medium at varying speeds. The waves involved in the study are quasi-longitudinal, quasi-thermal, quasi-shear vertical, quasi-void, and quasi-mass diffusive wave. Coupled plane waves are transformed into quasi-waves as a result of rotational effects. Various wave characteristics, such as speed and amplitude ratios, are plotted versus angular frequency and angle of incidence, respectively, using MATLAB programming. The effect of nonlocal, fractional order, and rotational frequency parameter by taking various values is represented graphically. The results found very considerable through these parameters. It has been verified that the sum of modulus of energy ratios at each angle of incidence is equal to unity during reflection phenomena. The study has several real-world applications, especially in geophysics, material science, civil, aerospace, and biomedical engineering.</p>

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Study of Fractional-order Heat and Hall Current on Reflection of Waves in Viscoelastic Rotating Diffusive Porous Isotropic Medium

  • 期刊论文

  • 发表日期：

    2025年5月29日

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  • Hashmat Ali,
  • Farhat Bibi,
  • Ehtsham Azhar,
  • Muhammad Jamal

摘要

Purpose:

This article aims to examine the Hall current influence on thermoelastic wave behavior under viscoelastic fractional order rotating porous diffusive isotropic medium. Furthermore, the problem of quasi-longitudinal wave reflection at a solid half-space of the considered medium that is stress-free is examined.

Methods:

The system has been decomposed into longitudinal and transverse components using the Helmholtz decomposition theorem. The wave-proposed solution is utilized to convert the partial differential equations into algebraic equations. The propagation speed and amplitude ratios of the reflected waves have been solved analytically and also depicted graphically.

Results and Conclusion:

When an incident longitudinal wave strikes with the boundary, five types of reflected coupled quasi-waves have been observed propagating through this type of medium at varying speeds. The waves involved in the study are quasi-longitudinal, quasi-thermal, quasi-shear vertical, quasi-void, and quasi-mass diffusive wave. Coupled plane waves are transformed into quasi-waves as a result of rotational effects. Various wave characteristics, such as speed and amplitude ratios, are plotted versus angular frequency and angle of incidence, respectively, using MATLAB programming. The effect of nonlocal, fractional order, and rotational frequency parameter by taking various values is represented graphically. The results found very considerable through these parameters. It has been verified that the sum of modulus of energy ratios at each angle of incidence is equal to unity during reflection phenomena. The study has several real-world applications, especially in geophysics, material science, civil, aerospace, and biomedical engineering.