ON TAYLOR'S SCRAPING PROBLEM AND FLOW OF A SISKO FLUID

Author:

Siddiqui Abdul M.1,Ansari Ali R.2,Ahmad Ahmed3,Ahmad N.4

Affiliation:

1. Pennsylvania State University Department of Mathematics, York Campus, York, PA 17403, USA

2. Gulf University for Science & Technology Department of Mathematics & Natural Sciences, P.O. Box 7207, Hawally 32093, Kuwait

3. Quaid-i-Azam University; Department of Mathematics, Islamabad, Pakistan

4. Department of Mathematics, Islamabad, Pakistan

Abstract

The aim of the present investigation is to study the properties of a Sisko fluid flowing between two intersecting planes. The problem is similar to Taylor's scraping problem for a viscous fluid. We determine the solution of the complicated set of non‐linear partial differential equations describing the flow analytically. The analysis is carried out in detail reflecting the effects of varying the angle of the scraper on the flow. In addition, the tangential and normal stress are also computed. We also show the well known Taylor scraper problem as a special case.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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