Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method

M. K. Alam; M. T. Rahim; E. J. Avital; S. Islam; A. M. Siddiqui; J. J.R. Williams

doi:10.1016/j.jfranklin.2013.01.010

Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method

M. K. Alam, M. T. Rahim, E. J. Avital, S. Islam, A. M. Siddiqui, J. J.R. Williams

Penn State York

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

18 Scopus citations

Abstract

In this paper, the steady thin film flow on the outer surface of long vertical cylinder of non-Newtonian Johnson-Segalman fluid for lifting and drainage problems have been investigated. Adomian decomposition (ADM) and numerical methods are applied for the solutions of the non-linear problems. Expressions for the velocity field and average velocity have been derived for both the problems, respectively. For Weissenberg number W_e=0, we retrieve Newtonian cases for both the problems. We also obtain the results for Maxwell fluid by taking slip parameter a=1. We also discussed the effect of the Stokes number S_t, the Weissenberg number W_e, the ratio of viscosities φ and the slip parameter a on the fluid flows.

Original language	English (US)
Pages (from-to)	818-839
Number of pages	22
Journal	Journal of the Franklin Institute
Volume	350
Issue number	4
DOIs	https://doi.org/10.1016/j.jfranklin.2013.01.010
State	Published - May 2013

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

Access to Document

10.1016/j.jfranklin.2013.01.010

Cite this

@article{7cb6f512452d4ed09c888aa7bf5bf678,

title = "Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method",

abstract = "In this paper, the steady thin film flow on the outer surface of long vertical cylinder of non-Newtonian Johnson-Segalman fluid for lifting and drainage problems have been investigated. Adomian decomposition (ADM) and numerical methods are applied for the solutions of the non-linear problems. Expressions for the velocity field and average velocity have been derived for both the problems, respectively. For Weissenberg number We=0, we retrieve Newtonian cases for both the problems. We also obtain the results for Maxwell fluid by taking slip parameter a=1. We also discussed the effect of the Stokes number St, the Weissenberg number We, the ratio of viscosities φ and the slip parameter a on the fluid flows.",

author = "Alam, {M. K.} and Rahim, {M. T.} and Avital, {E. J.} and S. Islam and Siddiqui, {A. M.} and Williams, {J. J.R.}",

year = "2013",

month = may,

doi = "10.1016/j.jfranklin.2013.01.010",

language = "English (US)",

volume = "350",

pages = "818--839",

journal = "Journal of the Franklin Institute",

issn = "0016-0032",

publisher = "Elsevier Limited",

number = "4",

}

TY - JOUR

T1 - Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method

AU - Alam, M. K.

AU - Rahim, M. T.

AU - Avital, E. J.

AU - Islam, S.

AU - Siddiqui, A. M.

AU - Williams, J. J.R.

PY - 2013/5

Y1 - 2013/5

N2 - In this paper, the steady thin film flow on the outer surface of long vertical cylinder of non-Newtonian Johnson-Segalman fluid for lifting and drainage problems have been investigated. Adomian decomposition (ADM) and numerical methods are applied for the solutions of the non-linear problems. Expressions for the velocity field and average velocity have been derived for both the problems, respectively. For Weissenberg number We=0, we retrieve Newtonian cases for both the problems. We also obtain the results for Maxwell fluid by taking slip parameter a=1. We also discussed the effect of the Stokes number St, the Weissenberg number We, the ratio of viscosities φ and the slip parameter a on the fluid flows.

AB - In this paper, the steady thin film flow on the outer surface of long vertical cylinder of non-Newtonian Johnson-Segalman fluid for lifting and drainage problems have been investigated. Adomian decomposition (ADM) and numerical methods are applied for the solutions of the non-linear problems. Expressions for the velocity field and average velocity have been derived for both the problems, respectively. For Weissenberg number We=0, we retrieve Newtonian cases for both the problems. We also obtain the results for Maxwell fluid by taking slip parameter a=1. We also discussed the effect of the Stokes number St, the Weissenberg number We, the ratio of viscosities φ and the slip parameter a on the fluid flows.

UR - http://www.scopus.com/inward/record.url?scp=84875531617&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84875531617&partnerID=8YFLogxK

U2 - 10.1016/j.jfranklin.2013.01.010

DO - 10.1016/j.jfranklin.2013.01.010

M3 - Article

AN - SCOPUS:84875531617

SN - 0016-0032

VL - 350

SP - 818

EP - 839

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 4

ER -

Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this