Time-Fractional Cattaneo-Type Thermoelastic Interior-Boundary Value Problem Within A Rigid Ball

نویسندگان

چکیده

The paper discusses the solution of an interior-boundary value problem one-dimensional time-fractional Cattaneo-type heat conduction and its stress fields for a rigid ball. interior describes dependence boundary conditions within ball's inner plane at any instant with prescribed temperature state, in contrast to exterior problem, which relates known surface conditions. A single-phase-lag equation Caputo fractional derivatives is proposed model medium subjected time-dependent physical application finite spherical Hankel Laplace transform technique discussed. influence fractional-order parameter relaxation time examined on their related stresses. findings show that slower thermal wave, bigger setting, higher period relaxation, flux propagates.

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ژورنال

عنوان ژورنال: International journal of applied thermodynamics

سال: 2023

ISSN: ['1301-9724']

DOI: https://doi.org/10.5541/ijot.1170335