THERMAL BEHAVIOUR OF A CIRCULAR PLATE UNDER CAPUTO-FABRIZIO FRACTIONAL IMPACT WITH SECTIONAL HEATING

Indrajeet Varhadpande; V. R. K. Murthy; N. K. Lamba

Indrajeet Varhadpande Department of Mathematics and Statistics, School of Applied Science and Humanities Vignan's Foundation for Science, Technology and Research Guntur, A.P., India; Department of Engineering, Sciences and Humanities, St. Vincent Pallotti College of Engineering and Technology, Nagpur, Maharashtra, India
V. R. K. Murthy Department of Mathematics and Statistics, School of Applied Science and Humanities Vignan's Foundation for Science, Technology and Research Guntur, A.P., India
N. K. Lamba Department of Mathematics Shri Lemdeo Patil Mahavidyalaya, Kuhi Mandhal, Nagpur, Maharashtra, India

Article ID: 2450

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Keywords: circular plate, sectional heating, integral transform, thermal stress

Abstract

Recent advances in the understanding of the precise physical thermal behaviour of various solids under the effect of fractional-order derivatives have boosted the study of thermoelasticity, which is primarily important in various industrial designs of usable structural materials. We investigated a thin circular plate that was subjected to additional sectional heating on its top and lower surfaces while creating thermal insulation around its outside border. In this work, we maintained the heat transfer equation while accounting for the impact of Caputo-Fabrizio fraction-order derivatives. According to specified boundary constraints, the integral transformation approach is used to assess the analytical solution of the displacement, temperature change, and thermal stresses. Furthermore, various functions and fractional parameters are computed using the material properties of aluminium metal plates for numerical purposes.

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