Unsteady MHD flow of a dusty fluid through a circular pipe

Author & Affiliation:
K. Elangovan
Mathematics Section Faculty of Engineering and Technology, Annamalai University, Annmalainagar - 608002 (INDIA)
Nirmala P. Ratchagar
Mathematics Section Faculty of Engineering and Technology, Annamalai University, Annmalainagar - 608002 (INDIA)
Keyword:
dusty fluid., Pipe, Hydromagnetic flow
Issue Date:
December 2009
Abstract:

In this paper, the unsteady flow of a dusty viscous incom-pressible electrically conducting fluid through a circular pipe is investigated. A constant pressure gradient in the axial direction and a uniform magnetic field directly perpendicular to the flow direction is applied. The effect of dust is described by two parameters f and t, the mass concentration parameter 'f' is a measure of the concentration of dust particles and interaction parameter is a measure of the rate at which the velocity of dust particles adjusts to changes in the fluid velocity and depends upon the size of the individual particles possible limiting cases for t<<1 and t >>1 which corresponds to the case of fine dust and coarse dust respectively. The flow analysis is carried out using differential geometry techniques and analytical solutions of the problem are obtained, with the help of Laplace transform technique. The effect of the magnetic field parameter M, the size of dust particles and the time on velocity, volumetric flow rates and skin friction are determined and discussed with the help of graphs.

Pages:
739-748
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
jusps-A
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Copy the following to cite this article:

K. E. ; N. P. Ratchagar, "Unsteady MHD flow of a dusty fluid through a circular pipe", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 3, Page Number 739-748, 2018

Copy the following to cite this URL:

K. E. ; N. P. Ratchagar, "Unsteady MHD flow of a dusty fluid through a circular pipe", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 3, Page Number 739-748, 2018

Available from: https://www.ultrascientist.org/paper/1252/

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