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

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

doi:10.4028/www.scientific.net/AMM.232.273

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

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

Penn State York

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Mechanical and Aerospace Engineering
Pages	273-278
Number of pages	6
DOIs	https://doi.org/10.4028/www.scientific.net/AMM.232.273
State	Published - 2012
Event	2012 3rd International Conference on Mechanical and Aerospace Engineering, ICMAE 2012 - Paris, France Duration: Jul 7 2012 → Jul 8 2012

Publication series

Name	Applied Mechanics and Materials
Volume	232
ISSN (Print)	1660-9336
ISSN (Electronic)	1662-7482

Other

Other	2012 3rd International Conference on Mechanical and Aerospace Engineering, ICMAE 2012
Country/Territory	France
City	Paris
Period	7/7/12 → 7/8/12

All Science Journal Classification (ASJC) codes

General Engineering

Access to Document

10.4028/www.scientific.net/AMM.232.273

Cite this

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title = "Layer thickness variation in two-phase flow of a third grade fluid",

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.",

author = "Mitkova, {Maya K.} and Siddiqui, {Abdul M.} and Ansari, {Ali R.}",

note = "Copyright: Copyright 2013 Elsevier B.V., All rights reserved.; 2012 3rd International Conference on Mechanical and Aerospace Engineering, ICMAE 2012 ; Conference date: 07-07-2012 Through 08-07-2012",

year = "2012",

doi = "10.4028/www.scientific.net/AMM.232.273",

language = "English (US)",

isbn = "9783037855140",

series = "Applied Mechanics and Materials",

pages = "273--278",

booktitle = "Mechanical and Aerospace Engineering",

}

Mitkova, MK, Siddiqui, AM & Ansari, AR 2012, Layer thickness variation in two-phase flow of a third grade fluid. in Mechanical and Aerospace Engineering. Applied Mechanics and Materials, vol. 232, pp. 273-278, 2012 3rd International Conference on Mechanical and Aerospace Engineering, ICMAE 2012, Paris, France, 7/7/12. https://doi.org/10.4028/www.scientific.net/AMM.232.273

TY - GEN

T1 - Layer thickness variation in two-phase flow of a third grade fluid

AU - Mitkova, Maya K.

AU - Siddiqui, Abdul M.

AU - Ansari, Ali R.

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

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U2 - 10.4028/www.scientific.net/AMM.232.273

DO - 10.4028/www.scientific.net/AMM.232.273

M3 - Conference contribution

AN - SCOPUS:84871587101

SN - 9783037855140

T3 - Applied Mechanics and Materials

SP - 273

EP - 278

BT - Mechanical and Aerospace Engineering

T2 - 2012 3rd International Conference on Mechanical and Aerospace Engineering, ICMAE 2012

Y2 - 7 July 2012 through 8 July 2012

ER -

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

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