Numerical Simulation of Hole Pressure for a Johnson-Segalman Fluid.

Abstract

In this paper we study the hole pressure problem for plane, steady, creeping shear flows of a Johnson Segalman model. To correctly apply the theory of Higashitani, Pritchard, Baird & Lodge (HPBL), we start with a modified hole pressure relation (MHPR) and we simulate the hole pressure measurement by FEM and multi mesh extrapolation techniques. The path integrals of MHPR & HPBL are evaluated and a full instrument simulation is conducted. An encouraging agreement between the simulated hole pressure and the analytical prediction is found, within the computationally-accessible range of De < or - 1, which supports the postulates about the possible error cancellation in MHPR and the validity of HPBL for J-S fluid. This numerical investigation also corroborates the evidence, given by the independent experiment and other numerical work, that N sub 1 can be predicted via the HPBL equations to a sufficient approximation to be of practical use. Keywords: non-Newtonian flows, Couette flow, Poiseuille flow, hole pressure, Johnson-Segalman fluid, HPBL equations, error cancellation, numerical simulation, finite element method, posterior error analysis, multi- mesh extrapolation.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1990
Accession Number
ADA233164

Entities

People

  • D. S. Malkus
  • M. Yao

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Computational Fluid Dynamics
  • Computational Science
  • Couette Flow
  • Equations
  • Error Analysis
  • Errors
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Measurement
  • Mechanics
  • Path Integrals
  • Poiseuille Flow
  • Pressure Measurement
  • Shear Flow
  • Simulations

Readers

  • Computational Modeling and Simulation
  • Fluid Dynamics.