Velocity and Temperature Development in the Entrance Region Between Two Rotating Concentric Cylinders.

Abstract

The study concerns a numerical investigation of incompressible flow in the entrance region of a concentric annulus with the inside cylinder rotating. The elliptical Navier Stokes equations are reduced to parabolic equations with the aid of straining coordinates and assuming high leakage Reynolds number. The system of equations is numerically integrated by the classical marching techniques which were developed for parabolic systems. The nondimensional mathematical system of equations is solved by the classical central difference Crank-Nicholson implicit scheme. The z and phi momentum equations and the energy equation are put in the form of a tri-diagonal matrix and are solved by the Gaussian reduction method. The program for the solution of velocity components was run without specifying any value for the Reynolds number. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1973
Accession Number
AD0762049

Entities

People

  • Mohamad Reza Kadivar

Organizations

  • University of Tennessee

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Incompressible Flow
  • Mathematics
  • Momentum
  • Navier Stokes Equations
  • Partial Differential Equations
  • Physical Properties
  • Reynolds Number

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.