The effect of slip condition on the three-dimensional flow of Jeffrey fluid along a plane wall with periodic suction

M. Shoaib; M. A. Rana; A. M. Siddiqui

doi:10.1007/s40430-017-0721-0

The effect of slip condition on the three-dimensional flow of Jeffrey fluid along a plane wall with periodic suction

M. Shoaib, M. A. Rana, A. M. Siddiqui

Penn State York

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

The laminar flow of an incompressible Jeffrey fluid past an infinite wall is modeled and analyzed analytically considering slip effect. The suction velocity distribution consisting of a basic steady distribution with a super-imposed weak transversely varying distribution is assumed. The problem turns out to be three dimension because of variation of suction velocity in transverse direction on the wall. A series expansion technique is employed to obtain approximate solutions for velocity field, skin friction, and pressure. The effects of non-Newtonian Jeffrey fluid parameter λ₁, elastic parameter K, and slip parameter γ on velocity field and skin friction are presented graphically. Strongly dependence of skin friction factor in the direction of main flow on slip parameter is noted.

Original language	English (US)
Pages (from-to)	2495-2503
Number of pages	9
Journal	Journal of the Brazilian Society of Mechanical Sciences and Engineering
Volume	39
Issue number	7
DOIs	https://doi.org/10.1007/s40430-017-0721-0
State	Published - Jul 1 2017

All Science Journal Classification (ASJC) codes

Automotive Engineering
Aerospace Engineering
General Engineering
Mechanical Engineering
Industrial and Manufacturing Engineering
Applied Mathematics

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10.1007/s40430-017-0721-0

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title = "The effect of slip condition on the three-dimensional flow of Jeffrey fluid along a plane wall with periodic suction",

abstract = "The laminar flow of an incompressible Jeffrey fluid past an infinite wall is modeled and analyzed analytically considering slip effect. The suction velocity distribution consisting of a basic steady distribution with a super-imposed weak transversely varying distribution is assumed. The problem turns out to be three dimension because of variation of suction velocity in transverse direction on the wall. A series expansion technique is employed to obtain approximate solutions for velocity field, skin friction, and pressure. The effects of non-Newtonian Jeffrey fluid parameter λ1, elastic parameter K, and slip parameter γ on velocity field and skin friction are presented graphically. Strongly dependence of skin friction factor in the direction of main flow on slip parameter is noted.",

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AU - Rana, M. A.

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N2 - The laminar flow of an incompressible Jeffrey fluid past an infinite wall is modeled and analyzed analytically considering slip effect. The suction velocity distribution consisting of a basic steady distribution with a super-imposed weak transversely varying distribution is assumed. The problem turns out to be three dimension because of variation of suction velocity in transverse direction on the wall. A series expansion technique is employed to obtain approximate solutions for velocity field, skin friction, and pressure. The effects of non-Newtonian Jeffrey fluid parameter λ1, elastic parameter K, and slip parameter γ on velocity field and skin friction are presented graphically. Strongly dependence of skin friction factor in the direction of main flow on slip parameter is noted.

AB - The laminar flow of an incompressible Jeffrey fluid past an infinite wall is modeled and analyzed analytically considering slip effect. The suction velocity distribution consisting of a basic steady distribution with a super-imposed weak transversely varying distribution is assumed. The problem turns out to be three dimension because of variation of suction velocity in transverse direction on the wall. A series expansion technique is employed to obtain approximate solutions for velocity field, skin friction, and pressure. The effects of non-Newtonian Jeffrey fluid parameter λ1, elastic parameter K, and slip parameter γ on velocity field and skin friction are presented graphically. Strongly dependence of skin friction factor in the direction of main flow on slip parameter is noted.

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The effect of slip condition on the three-dimensional flow of Jeffrey fluid along a plane wall with periodic suction

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