Review of the methods for solving stochastic differential and integral equations related to the velocity field and discussion of recent and famous theories of turbulence. The formulation of mass and heat transport in most physical situations is an advective process, and the velocity field is usually a random variable. This paper looks at mass and heat equations, first when the velocity field is deterministic and then when it is a random variable. Three main problems are identified: (1) the solution of the Navier-Stokes equation by generating the proper velocity moment, (2) the truncation problem--the solution of the mass and/or heat transport equation when there is adequate knowledge of the velocity field moments, and (3) selection of a feasible numerical or analytic solution. Much work has to be done in these three areas, particularly because some of the practical application concerns problems of air and water pollution. 49 pp. Ref. (KB)
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