A Quasi-Analytical Method for the Calculation of Particle Trajectories,

Abstract

The equation of motion of a sand particle under the influence of aerodynamic drag has been developed in the inertial coordinate system. The method of solution presented is very easy to use in that only one first order differential equation has to be solved. The equation of motion has been integrated and solved for the special cases of one-dimensional steady flow and one-dimensional accelerating flow as well as the general case of two or three-dimensional accelerating flow. The computerized models of these three problems are presented along with solutions of example problems. High speed movies were taken of sand particles which had been accelerated in a specially designed tunnel. These results demonstrated the extreme accuracy of this method of solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1973
Accession Number
AD0757724

Entities

People

  • G. Grant
  • Widen Tabakoff

Organizations

  • University of Cincinnati

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Aerodynamic Drag
  • Coordinate Systems
  • Differential Equations
  • Drag
  • Equations
  • Flow
  • Mathematics
  • Particle Trajectories
  • Particles
  • Steady Flow
  • Three Dimensional
  • Trajectories

Readers

  • Coastal Oceanography
  • Combustion and Flow Dynamics.
  • Linear Algebra