The influence of Hall current in a circular duct

T. Hayat; S. Nadeem; R. Ellahi; S. Asghar

doi:10.1016/j.nonrwa.2008.10.046

The influence of Hall current in a circular duct

T. Hayat
, S. Nadeem
, R. Ellahi
, S. Asghar

Quaid-I-Azam University
International Islamic University Islamabad
COMSATS University Islamabad

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

8 Scopus citations

Abstract

In this paper, we consider the unsteady flow of an incompressible second grade fluid in a circular duct with a given volume flow rate variation. The effects of Hall current are taken into account. The governing equations are solved analytically using Laplace transform method. The velocity profiles are constructed for the four cases: (a) constant accelerated flow (b) sudden started flow (c) the flow rate has a trapezoidal variation with time (d) starting from rest the volume flow rate oscillates sinusoidally. The present analysis is more general than any previous investigation.

Original language	English
Pages (from-to)	184-189
Number of pages	6
Journal	Nonlinear Analysis: Real World Applications
Volume	11
Issue number	1
DOIs	https://doi.org/10.1016/j.nonrwa.2008.10.046
State	Published - Feb 2010
Externally published	Yes

Keywords

Circular duct
Exact solution
Hall effect
Unsteady flow

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10.1016/j.nonrwa.2008.10.046

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author = "T. Hayat and S. Nadeem and R. Ellahi and S. Asghar",

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AU - Hayat, T.

AU - Nadeem, S.

AU - Ellahi, R.

AU - Asghar, S.

PY - 2010/2

Y1 - 2010/2

N2 - In this paper, we consider the unsteady flow of an incompressible second grade fluid in a circular duct with a given volume flow rate variation. The effects of Hall current are taken into account. The governing equations are solved analytically using Laplace transform method. The velocity profiles are constructed for the four cases: (a) constant accelerated flow (b) sudden started flow (c) the flow rate has a trapezoidal variation with time (d) starting from rest the volume flow rate oscillates sinusoidally. The present analysis is more general than any previous investigation.

AB - In this paper, we consider the unsteady flow of an incompressible second grade fluid in a circular duct with a given volume flow rate variation. The effects of Hall current are taken into account. The governing equations are solved analytically using Laplace transform method. The velocity profiles are constructed for the four cases: (a) constant accelerated flow (b) sudden started flow (c) the flow rate has a trapezoidal variation with time (d) starting from rest the volume flow rate oscillates sinusoidally. The present analysis is more general than any previous investigation.

KW - Circular duct

KW - Exact solution

KW - Hall effect

KW - Unsteady flow

UR - https://www.scopus.com/pages/publications/70350719589

U2 - 10.1016/j.nonrwa.2008.10.046

DO - 10.1016/j.nonrwa.2008.10.046

M3 - Article

AN - SCOPUS:70350719589

SN - 1468-1218

VL - 11

SP - 184

EP - 189

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 1

ER -

The influence of Hall current in a circular duct

Abstract

Keywords

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