Stochastic Processes in Heat and Mass Transport,

Abstract

With the classic work of Reynolds the theory of turbulence has its foundation, and since then a host of papers came forth to describe this phenomenon, which is found in most fluids. The transport of mass and heat in a turbulent environment is an extremely important problem today. In order to understand how a pollutant, whether it be an active or inactive material or heat, is being transported, it becomes imperative to understand how to treat stochastic differential and/or integral equations. In the paper the author reviews the methods for solving such equations. The author considers the velocity field and the Navier-Stokes equations and discusses the mathematical problems associated with it. Some of the recent and famous theories of turbulence are mentioned. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0742400

Entities

People

  • Vincent A. Lodato

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Environment
  • Equations
  • Integral Equations
  • Integrals
  • Materials
  • Mathematics
  • Navier Stokes Equations
  • Stochastic Processes
  • Stratified Fluids
  • Transport Ships
  • Turbulence

Readers

  • Calculus or Mathematical Analysis
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers
  • Theoretical Analysis.