Layer thickness variation in two-phase flow of a third grade fluid

Maya K. Mitkova, Abdul M. Siddiqui, Ali R. Ansari

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

In this paper we consider the two-layer flow of a third grade fluid between two horizontal infinite parallel plates. The fluid in both layers is pressure driven in a horizontal direction (Poiseuille flow). We relax the assumption of symmetry and consider layers of variable thickness. To solve the non-linear differential equations describing the motion of a third grade fluid we use the Homotopy Analysis Method and provide a solution which accurate up to the second order. We apply this solution to attain the velocity profile in different cases for different layer thickness, pressure gradient and material constants that describe the non-Newtonian behavior of the fluid.

Original languageEnglish (US)
Title of host publicationMechanical and Aerospace Engineering
Pages273-278
Number of pages6
DOIs
StatePublished - Dec 31 2012
Event2012 3rd International Conference on Mechanical and Aerospace Engineering, ICMAE 2012 - Paris, France
Duration: Jul 7 2012Jul 8 2012

Publication series

NameApplied Mechanics and Materials
Volume232
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Other

Other2012 3rd International Conference on Mechanical and Aerospace Engineering, ICMAE 2012
CountryFrance
CityParis
Period7/7/127/8/12

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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  • Cite this

    Mitkova, M. K., Siddiqui, A. M., & Ansari, A. R. (2012). Layer thickness variation in two-phase flow of a third grade fluid. In Mechanical and Aerospace Engineering (pp. 273-278). (Applied Mechanics and Materials; Vol. 232). https://doi.org/10.4028/www.scientific.net/AMM.232.273