Homotopy perturbation solution for flow of a third-grade fluid in helical screw rheometer

M. Zeb, T. Haroon, Abdul M. Siddiqui

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This paper provides a theoretical study of steady flow of an incompressible third grade fluid in helical screw rheometer. The model developed in cylindrical coordinates pertains to second order nonlinear coupled differential equations that are solved using homotopy perturbation method. Expressions for velocity components in θ and z-direction are obtained. The volume flow rates are calculated for the azimuthal and axial components of velocity profiles by introducing the effect of flights. The results have been discussed with the help of graphs. It is noticed that extrusion process depends on the involved non-Newtonian parameter and pressure gradients.

Original languageEnglish (US)
Pages (from-to)179-190
Number of pages12
JournalUPB Scientific Bulletin, Series A: Applied Mathematics and Physics
Volume76
Issue number4
StatePublished - 2014

Fingerprint

Third Grade Fluid
Perturbation Solution
rheometers
Rheometers
screws
Homotopy
grade
z direction
perturbation
Cylindrical coordinates
cylindrical coordinates
Fluids
Homotopy Perturbation Method
Extrusion
fluids
steady flow
Pressure Gradient
Steady flow
Velocity Profile
Steady Flow

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Physics and Astronomy(all)

Cite this

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AB - This paper provides a theoretical study of steady flow of an incompressible third grade fluid in helical screw rheometer. The model developed in cylindrical coordinates pertains to second order nonlinear coupled differential equations that are solved using homotopy perturbation method. Expressions for velocity components in θ and z-direction are obtained. The volume flow rates are calculated for the azimuthal and axial components of velocity profiles by introducing the effect of flights. The results have been discussed with the help of graphs. It is noticed that extrusion process depends on the involved non-Newtonian parameter and pressure gradients.

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