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In the present paper, a new model of the collision term, of the BoltzmannKinetic equation dealing with binary gas mixture affected by a centrifugalfield, is introduced. The new model is representing a modification of the BGK(Bhatnagar-Gross-Krook) model of the Boltzmann kinetic equation to be suitablefor studying the influence of centrifugal field affected on gases mixture. Thescientific achievement of the new model is that it is a very simple modelwithout any mathematical complexity; but without any loss of generality. Weshed light upon that the new model is satisfied the conservation of energy,conservation of mass, and conservation of momentum laws, the second law ofthermodynamic, and the principle of maximum entropy production that is like theBGK model itself. Complete mathematical model for a centrifugal field, used inUranium enrichment process affected on gases mixture between two coaxialcircular porous rotating cylinders, is presented which is an importantapplication for our new model. We also, introduced the complete irreversiblethermodynamics properties of the system for the first time at all, for the bestof our knowledge. The entropy, entropy flux, entropy production, thermodynamicforces, kinetic coefficients are presented for our model system. The ratiosbetween the different contributions of the internal energy changes arepredicted via the extended Gibbs equation. The main important implementation ofthe model is the uranium enrichment that is used in nuclear energy generationor nuclear weapons, many medical applications and various industrial amazingapplications. The flow of a binary gases mixture of UF6, and N2 betweenrotating cylinders is the first important suggested problem enforcement of thenew model.

Irreversible Thermodynamic of a New Model of the Collision Term of the  Boltzmann Kinetic Equation Dealing with Gas Mixture affected by a Centrifugal  Field