A Mathematical Model of the Basic Electro-Hydrodynamic Process Including Effects of Turbulence.

Abstract

A mathematical model of the basic electro-hydrodynamic (EHD) process is developed and described. The carrier fluid is treated as incompressible and turbulent. The injected particles are treated as uniform in mass and electrical charge. The analysis is broken down into three phases, namely, the basic flow, the perturbation due to injection of mass, and the perturbation due to introduction of electrical charge. This method greatly simplifies and improves the analysis. A final system of nine basic partial differential equations is obtained. These equations, along with the appropriate boundary conditions, fix the fluid and particle velocities and particle density at all points in the field. The basic equations are developed in a fully non-dimensional form. The mathematical model here presented is unique in its analytical approach and in its treatment of turbulence effects. Through computer simulation, it offers new possibilities for the study and development of EHD power generation systems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0720703

Entities

People

  • Theodore H. Gawain

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Computer Simulations
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematical Models
  • Models
  • Partial Differential Equations
  • Particles
  • Perturbations
  • Simulations
  • Turbulence

Readers

  • Fluid Dynamics.
  • Plasma Physics / Magnetohydrodynamics
  • Sensor Fusion and Tracking Systems.