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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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The paper must have abstract. The objective of this study is the modeling of storage installations for non dangerous waste for improving the management of bioreactors We have studied the physico-chemical-biological behavior of waste in the anaerobic phase, For this, we presented the equations conservation of matter, energy and thermodynamic functions are adopted the model of Van Genuchten. We 486 Samir MEN-LA-YAKHAF, Kamal GUERAOUI and Mohamed DRIOUICH have developed a numerical model to simulate the coupled bioreactors behavior using the finite volume method.

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