In aerosols interactions between the gas and the particle phase, within the gas and the particle phase and between the gas / particle phase and the surrounding walls take place continuously. Describing dynamical processes in aerosols, both gas and particle phase processes have to be accounted for. Because of the complexity of the system, usually numerical techniques are applied. The numerical solution of heat transfer, fluid flow, and other related processes such as particle dynamics, should begin with the laws governing these processes expressed in mathematical form. Usually the mathematical form is that of a differential equation.
Fluid Dynamics of particles can be represented by:
-Conservation of a Chemical Species
-Conservation of Energy
-Conservation of Momentum
-General Differential Equation
The above equations and conservations indicate, that all the dependent variables of interest (fluid and aerosol dynamics) seem to obey similar conservation principles. Denoting the dependent variable as 'psi', the so-called general differential equation (GDE) takes the following form:
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