On the numerical solution of unsteady squeezing MHD flow of a second grade fluid between Parallel Plates

Abdul M. Siddiqui, M. A. Rana, Rashid Qamar, S. Irum, A. R. Ansari

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The unsteady 2-dimensional flow of electrically conducting, incompressible second grade fluid between two parallel infinite plates approaching or receding from each other symmetrically is studied. A similarity transformation is used to reduce the system of partial differential equations to a single fifth-order non-linear differential equation. The resulting non-linear boundary value problem is solved numerically. The effects of appropriate dimensionless parameters on the velocity profiles are studied graphically.

Original languageEnglish (US)
Pages (from-to)27-36
Number of pages10
JournalAdvanced Studies in Theoretical Physics
Volume6
Issue number1-4
StatePublished - Feb 1 2012

Fingerprint

Second Grade Fluid
MHD Flow
Squeezing
Similarity Transformation
Nonlinear Boundary Value Problems
Systems of Partial Differential Equations
Velocity Profile
parallel plates
compressing
Dimensionless
boundary value problems
Incompressible Fluid
partial differential equations
Nonlinear Differential Equations
grade
differential equations
velocity distribution
Numerical Solution
conduction
fluids

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

@article{39adadedb872463c97889daed0929d8b,
title = "On the numerical solution of unsteady squeezing MHD flow of a second grade fluid between Parallel Plates",
abstract = "The unsteady 2-dimensional flow of electrically conducting, incompressible second grade fluid between two parallel infinite plates approaching or receding from each other symmetrically is studied. A similarity transformation is used to reduce the system of partial differential equations to a single fifth-order non-linear differential equation. The resulting non-linear boundary value problem is solved numerically. The effects of appropriate dimensionless parameters on the velocity profiles are studied graphically.",
author = "Siddiqui, {Abdul M.} and Rana, {M. A.} and Rashid Qamar and S. Irum and Ansari, {A. R.}",
year = "2012",
month = "2",
day = "1",
language = "English (US)",
volume = "6",
pages = "27--36",
journal = "Advanced Studies in Theoretical Physics",
issn = "1313-1311",
publisher = "Hikari Ltd.",
number = "1-4",

}

On the numerical solution of unsteady squeezing MHD flow of a second grade fluid between Parallel Plates. / Siddiqui, Abdul M.; Rana, M. A.; Qamar, Rashid; Irum, S.; Ansari, A. R.

In: Advanced Studies in Theoretical Physics, Vol. 6, No. 1-4, 01.02.2012, p. 27-36.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On the numerical solution of unsteady squeezing MHD flow of a second grade fluid between Parallel Plates

AU - Siddiqui, Abdul M.

AU - Rana, M. A.

AU - Qamar, Rashid

AU - Irum, S.

AU - Ansari, A. R.

PY - 2012/2/1

Y1 - 2012/2/1

N2 - The unsteady 2-dimensional flow of electrically conducting, incompressible second grade fluid between two parallel infinite plates approaching or receding from each other symmetrically is studied. A similarity transformation is used to reduce the system of partial differential equations to a single fifth-order non-linear differential equation. The resulting non-linear boundary value problem is solved numerically. The effects of appropriate dimensionless parameters on the velocity profiles are studied graphically.

AB - The unsteady 2-dimensional flow of electrically conducting, incompressible second grade fluid between two parallel infinite plates approaching or receding from each other symmetrically is studied. A similarity transformation is used to reduce the system of partial differential equations to a single fifth-order non-linear differential equation. The resulting non-linear boundary value problem is solved numerically. The effects of appropriate dimensionless parameters on the velocity profiles are studied graphically.

UR - http://www.scopus.com/inward/record.url?scp=84856237728&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856237728&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84856237728

VL - 6

SP - 27

EP - 36

JO - Advanced Studies in Theoretical Physics

JF - Advanced Studies in Theoretical Physics

SN - 1313-1311

IS - 1-4

ER -