Accession Number : AD0421586

Title :   A LINEAR LAGRANGIAN MODEL OF TURBULENT HEAT CONDUCTION AND CONVECTION (I),

Corporate Author : NEW YORK UNIV N Y SCHOOL OF ENGINEERING AND SCIENCE

Personal Author(s) : Pierson,Willard J. ,Jr.

Report Date : 30 JUN 1963

Pagination or Media Count : 25

Abstract : Turbulent effects are often studied by assuming a large scale flow and a turbulent flow that is ''averaged out''. The turbulent motions both conduct and convect heat, but in this type of problem the ''average'' turbulent motion is zero and thus one speaks of turbulent conduction only. Probably the simplest problem that can be studied in this context is the problem of the fluid motions between two infinite parallel plates separated by a distance, L. The lower plate is maintained at a greater temperature than the upper plate so that the fluid at the lower boundary tends to be warmer and hence lighter than the fluid at the upper boundary. To investigate the problem, the Eulerian form of the Navier Stokes equations are used for the starting point. These are transformed to a Lagrangian form and simultaneously linearized by means of a perturbation expansion about the rest solution that consists of a linear temperature gradient and no motion. (Author)

Descriptors :   (*HEAT TRANSFER, TURBULENCE), (*MATHEMATICAL MODELS, LINEAR SYSTEMS), CONVECTION, TURBULENT BOUNDARY LAYER, DIFFERENTIAL EQUATIONS, TEMPERATURE, PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS

Distribution Statement : APPROVED FOR PUBLIC RELEASE