

MATHEMATICAL MODELLING OF HYDRODYNAMICS AND HEAT EXCHANGE AT THE MIXED CONVECTION OF HETEROGENEOUS LIQUID WITH DISPERSE PARTICLES IN THE CHANNEL WITH HEATALLOCATING ELEMENT
Baranov E.R., Nekrasov A.K.
University of Mechanical Engineering, Moscow, Russia
Citation:
Baranov, E.R. and Nekrasov, A.K., (2013) Mathematical modelling of hydrodynamics and heat exchange at the mixed convection of heterogeneous liquid with disperse particles in the channel with heatallocating element, Modern Science: Researches, Ideas, Results, Technologies, Iss. #1(12), PP. 306  311.

Keywords: numerical modeling; multiphase flows; hydrodynamics and heatmass transfer 
Abstracts:
The method of finite difference investigated hydrodynamics, heat exchange and movement of particles of a disperse phase at the mixed convection of nonuniform heterogeneous liquid in the channel with heating element. We consider the case when the distance between particles is much greater than the mean free path, which allows us to neglect the interaction between the particles. At the heart of a method applied at numerical research, the approach based on the joint solution of the vector equation of movement of a disperse particle, written down in Lagrangian system of coordinates, with the equations of movement of the continuous bearing environment, written down in Euler system of coordinates lies. The twodimensional problem definition of movement of bearing viscous incompressible liquid at the mixed not isothermal convection in the channel is executed in approach of OberbekaBussinesk on the basis of system of the nonstationary equations of NavierStokes, energy and continuity which was solved in the variables “ whirlwind function of the current  temperature “ a finite difference method of the variable directions. Essential dependence on channel orientation concerning the gravity vector, caused in not isothermal conditions by action of free convection, on dependence of intensity of a thermolysis on surfaces of a heatallocating element, a field of speed and temperature of a bearing dispersive phase and character of trajectories of movement of disperse particles is revealed on surfaces of a heating element, a field of speed and temperature of a bearing dispersive phase and character of trajectories of movement of disperse particles is revealed. 
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