Numerical and mathematical modeling Of an unsteady heat transfer within a spherical cavity: Applications Laser in medicine

kamal gueraoui(1*)

(1) , Morocco
(*) Corresponding author

DOI's assignment:
The DOI number for this article will be assigned as soon as the final version of the IRECE Vol 8, No 4 (2017) issue will be available


The main purpose of this work is to establish a numerical and mathematical modeling of heat transfer phenomenon in spherical cavities in order to model biological tissues. The idea of this study is to address the medical need to know the maximum amount of heat that a human tissue can withstand the outside of a treatment session to minimize side effects that a patient may have after hypothermic treatment such as removal of certain tumor by the lasers. The phenomenon studied is governed by mathematical equations whose numerical resolution allowed the determination of the temperature profile in different layers of the skin (epidermis, dermis, subcutaneous tissue). We have studied the influence of certain parameters of temperature on laser namely: the power, the spot diameter and irradiation time.
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Heat transfer, spherical cavity, finite volume method, mathematical and numerical modeling, laser, tissue environment.


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