Accession Number:

AD0854775

Title:

Streamline Motion of a Viscous, Incompressible Fluid in a Curved Pipe with an Elliptical Cross Section

Descriptive Note:

Corporate Author:

ARMY MISSILE COMMAND REDSTONE ARSENAL AL SYSTEMS RESEARCH DIRECTORATE

Personal Author(s):

Report Date:

1969-05-28

Pagination or Media Count:

129.0

Abstract:

This study concerns the laminar flow of an incompressible fluid through a curved pipe with an elliptical cross section. The governing equations are derived by applying the Navier-Stokes and continuity equations in cylindrical coordinates and the method of successive approximations to get the five partial differential equations. These equations are solved by the perturbation method, and twenty numerical examples are presented. For each example, arbitrary numerical parameters are assumed for input into an IBM 7094 Computer to obtain solutions for the simultaneous algebraic equations. For an eccentricity of one, the ellipse degenerates to a circle and Deans solution for the streamline flow of an incompressible fluid through a curved pipe with a circular cross section is obtained.

Subject Categories:

  • Pumps, Filters, Pipes, Tubing, Fittings and Valves
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE