Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid

S. Abbasbandy; T. Hayat; A. Alsaedi; M. M. Rashidi

doi:10.1108/HFF-05-2012-0096

Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid

S. Abbasbandy
, T. Hayat
, A. Alsaedi
, M. M. Rashidi

Imam Khomeini International University
Quaid-I-Azam University
King Abdulaziz University
Bu-Ali Sina University

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

174 Scopus citations

Abstract

Purpose - In this paper, analysis is presented to investigate the Falkner-Skan flow of magnetohydrodynamic (MHD) Oldroyd-B fluid. The paper aims to discuss these issues. Design/methodology/approach - In this paper, the authors used two methods: homotopy analysis method and numerical Keller-box method. Findings - It is observed that skin friction coefficient in Oldroyd-B fluid is larger when compared with viscous fluid. Further, the relaxation and retardation times have opposite effects on the velocity components. Practical implications - A comparative study between the series and numerical solutions for the skin friction is shown in the paper. The results indicated that both solutions are in well agreement. Originality/value - This model is investigated for the first time, as the authors know.

Original language	English
Article number	17105512
Pages (from-to)	390-401
Number of pages	12
Journal	International Journal of Numerical Methods for Heat and Fluid Flow
Volume	24
Issue number	2
DOIs	https://doi.org/10.1108/HFF-05-2012-0096
State	Published - 2014
Externally published	Yes

Keywords

Oldroyd-B fluid
The Falkner-Skan flow

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10.1108/HFF-05-2012-0096

Cite this

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title = "Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid",

abstract = "Purpose - In this paper, analysis is presented to investigate the Falkner-Skan flow of magnetohydrodynamic (MHD) Oldroyd-B fluid. The paper aims to discuss these issues. Design/methodology/approach - In this paper, the authors used two methods: homotopy analysis method and numerical Keller-box method. Findings - It is observed that skin friction coefficient in Oldroyd-B fluid is larger when compared with viscous fluid. Further, the relaxation and retardation times have opposite effects on the velocity components. Practical implications - A comparative study between the series and numerical solutions for the skin friction is shown in the paper. The results indicated that both solutions are in well agreement. Originality/value - This model is investigated for the first time, as the authors know.",

keywords = "Oldroyd-B fluid, The Falkner-Skan flow",

author = "S. Abbasbandy and T. Hayat and A. Alsaedi and Rashidi, \{M. M.\}",

year = "2014",

doi = "10.1108/HFF-05-2012-0096",

language = "English",

volume = "24",

pages = "390--401",

journal = "International Journal of Numerical Methods for Heat and Fluid Flow",

issn = "0961-5539",

publisher = "Emerald Publishing",

number = "2",

}

TY - JOUR

T1 - Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid

AU - Abbasbandy, S.

AU - Hayat, T.

AU - Alsaedi, A.

AU - Rashidi, M. M.

PY - 2014

Y1 - 2014

N2 - Purpose - In this paper, analysis is presented to investigate the Falkner-Skan flow of magnetohydrodynamic (MHD) Oldroyd-B fluid. The paper aims to discuss these issues. Design/methodology/approach - In this paper, the authors used two methods: homotopy analysis method and numerical Keller-box method. Findings - It is observed that skin friction coefficient in Oldroyd-B fluid is larger when compared with viscous fluid. Further, the relaxation and retardation times have opposite effects on the velocity components. Practical implications - A comparative study between the series and numerical solutions for the skin friction is shown in the paper. The results indicated that both solutions are in well agreement. Originality/value - This model is investigated for the first time, as the authors know.

AB - Purpose - In this paper, analysis is presented to investigate the Falkner-Skan flow of magnetohydrodynamic (MHD) Oldroyd-B fluid. The paper aims to discuss these issues. Design/methodology/approach - In this paper, the authors used two methods: homotopy analysis method and numerical Keller-box method. Findings - It is observed that skin friction coefficient in Oldroyd-B fluid is larger when compared with viscous fluid. Further, the relaxation and retardation times have opposite effects on the velocity components. Practical implications - A comparative study between the series and numerical solutions for the skin friction is shown in the paper. The results indicated that both solutions are in well agreement. Originality/value - This model is investigated for the first time, as the authors know.

KW - Oldroyd-B fluid

KW - The Falkner-Skan flow

UR - https://www.scopus.com/pages/publications/84897856802

U2 - 10.1108/HFF-05-2012-0096

DO - 10.1108/HFF-05-2012-0096

M3 - Article

AN - SCOPUS:84897856802

SN - 0961-5539

VL - 24

SP - 390

EP - 401

JO - International Journal of Numerical Methods for Heat and Fluid Flow

JF - International Journal of Numerical Methods for Heat and Fluid Flow

IS - 2

M1 - 17105512

ER -

Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid

Abstract

Keywords

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