ON THE CHARACTERIZATION OF FIELDS OF DIABATIC FLOW. PART I. GENERAL THEORY OF STEADY DIABATIC FLOW,

Abstract

The vector representations of fields of steady, rotational, diabatic compressible flow are first studied in order to find that representation which is most efficient. Diabatic flows are then introduced which are irrotational in the sense that the velocity is a compound lamellar vector. These flows are characterized in terms of their character and form, specified respectively by the function g(N) and the form function F(phi sub N) which occurs in the partial differential equation for the potential function phi sub N. The type of the differential equation for phi sub N is found to depend only upon the flow character which in addition fixes the relationship between the heat addition function q sub N, the geometry of the stream tubes and the form function. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 10, 1947
Accession Number
AD0640701

Entities

People

  • B. L. Hicks

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Compressible Flow
  • Differential Equations
  • Equations
  • Flow
  • Geometry
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Personality

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.