Unsteady flow of a dusty viscous fluid through porous medium in a rectangular channel with time dependent pressure gradient

AUTHOR AND
AFFILIATION

GAURAV MISHRA, RAVINDRA KUMAR and K. K. SINGH

KEYWORDS:

unsteady flow

Issue Date:

April 2013

Pages:

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.25 – No.1

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DOI:

jusps-A

ABSTRACT:

The unsteady flow of a dusty viscous incompressible fluid through porous medium in a long rectangular channel under the influence of time dependent pressure gradient has been studied. The solution of governing equations of motion is obtained by the application of Finite Fourier cosine transform and Laplace transform to study the behaviour of the flow of fluid and the dust particles through porous medium. The particular cases when the pressure gradient is (i) an absolute constant,
(ii) periodic function of time, (iii) an exponentially decreasing function of time and (iv) Ctet , have been discussed in detail.

Copy the following to cite this Article:

GAURAV MISHRA, RAVINDRA KUMAR and K. K. SINGH, “Unsteady flow of a dusty viscous fluid through porous medium in a rectangular channel with time dependent pressure gradient”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016


Copy the following to cite this URL:

GAURAV MISHRA, RAVINDRA KUMAR and K. K. SINGH, “Unsteady flow of a dusty viscous fluid through porous medium in a rectangular channel with time dependent pressure gradient”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/278/


The unsteady flow of a dusty viscous incompressible fluid through porous medium in a long rectangular channel under the influence of time dependent pressure gradient has been studied. The solution of governing equations of motion is obtained by the application of Finite Fourier cosine transform and Laplace transform to study the behaviour of the flow of fluid and the dust particles through porous medium. The particular cases when the pressure gradient is (i) an absolute constant,
(ii) periodic function of time, (iii) an exponentially decreasing function of time and (iv) Ctet , have been discussed in detail.