A LINEAR LAGRANGIAN MODEL OF TURBULENT HEAT CONDUCTION AND CONVECTION (I),
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 30, 1963
- Accession Number
- AD0421586
Entities
People
- Willard J. Pierson Jr.
Organizations
- New York University