On the unsteady flow of two incompressible immiscible second grade fluids between two parallel plates

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

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

Abstract

Unsteady, pressure driven in the gap between two parallel plates flow of two non- Newtonian incompressible second grade fluids is considered. The governing equations are established for the particular two-layer flow and analytical solutions of the equations that satisfy the imposed boundary conditions are obtained. The velocity of each fluid is expressed as function of the material constants, time dependent pressure gradient and other characteristics of the fluids. As part of the solution, an expression for the interface velocity is derived. We analyze the shift of the velocity maximum from one to another fluid as a function of variety of values of fluids' parameters.

Original languageEnglish (US)
Title of host publicationMechanical and Aerospace Engineering V
PublisherTrans Tech Publications Ltd
Pages546-553
Number of pages8
ISBN (Print)9783038352235
DOIs
StatePublished - Jan 1 2014
Event5th International Conference on Mechanical and Aerospace Engineering, ICMAE 2014 - Madrid, Spain
Duration: Jul 18 2014Jul 19 2014

Publication series

NameAdvanced Materials Research
Volume1016
ISSN (Print)1022-6680
ISSN (Electronic)1662-8985

Other

Other5th International Conference on Mechanical and Aerospace Engineering, ICMAE 2014
CountrySpain
CityMadrid
Period7/18/147/19/14

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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    Siddiqui, A. M., Mitkova, M. K., & Ansari, A. R. (2014). On the unsteady flow of two incompressible immiscible second grade fluids between two parallel plates. In Mechanical and Aerospace Engineering V (pp. 546-553). (Advanced Materials Research; Vol. 1016). Trans Tech Publications Ltd. https://doi.org/10.4028/www.scientific.net/AMR.1016.546