29. A novel Pennesí bioheat transfer equation with memory-dependent derivative

N. Sarkar

Department of Applied Mathematics, University of Calcutta, Kolkata-700 009, India

E-mail: nsappmath@caluniv.ac.in

Received 15 November 2016; received in revised form 19 December 2016; accepted 20 December 2016

DOI https://doi.org/10.21595/mme.2016.18024

Abstract. In this paper, a new mathematical model for Pennesí bioheat equation using the new memory-dependent derivative is established. The one-dimensional thermal behavior in living tissue subject to instantaneous surface heating is investigated. Numerical calculations are performed to study the temperature transients in the skin exposed to instantaneous surface heating. Numerical results are plotted in the form of two-dimensional graphs and discussed. In this novel model, the time delay parameter is a new indicator of bio-heat efficiency in living tissues.

Keywords: Pennesí bioheat transfer equation, Fourierís law of heat conduction, memory‑dependent derivative, time-delay parameter, Kernel function.

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Cite this article

Sarkar N. A novel Pennesí bioheat transfer equation with memory‑dependent derivative. Mathematical Models in Engineering, Vol. 2, Issue 2, 2016, p. 151‑157.

 

Mathematical Models in Engineering. December 2016, Volume 2, Issue 2

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