i-manager Publications

Dismantling of Magneto-Hydrodynamic Maxwell Equation in Cylindrical Co-Ordinates

M. O. Mosa*

Mathematics Teacher, Sudan International Grammar School, Sudan.

Periodicity:January - March'2019
DOI : https://doi.org/10.26634/jmat.8.1.15737

Abstract

The Maxwell model is considered to be the simplest of rate type fluids model of viscoelastic fluid, the model describes the blood flow in small vessels. And also the response of some polymeric liquids. The focus of this work is derivation of magneto-hydrodynamic of Maxwell model in cylindrical co-ordinates (r;θ; z), basic equations (equation of continuity and momentum), and the Maxwell model were changed from the vector form to deferential form to derive the model in cylindrical co-ordinates (r; θ ; z). The Maxwell equation has been derived and system of partial differential equations was obtained under effect of magnetic field.

Keywords

cylindrical co-ordinates;continuity equation; material derivative; mo- mentum equation; magnento-hydrodynamc; partial system; stress tensor.

How to Cite this Article?

Mosa, M. O. (2019). Dismantling of Magneto-Hydrodynamic Maxwell Equation in Cylindrical Co-Ordinates. i-manager's Journal on Mathematics, 8(1), 1-7 https://doi.org/10.26634/jmat.8.1.15737

References

[1]. Alfvén, H. (1942). Existence of electromagnetic-hydrodynamic waves. Nature, 150(3805), 405.

[2]. Batchelor, G. K. (2000). An Introduction to Fluid Dynamics. Cambridge University Press. pp. 72-73. https://doi.org/10.1017/CBO9780511800955

[3]. Bird, R. B., Stewart, W. E., & Lightfoot, E. N. (2007). Transport Phenomena. John Wiley & Sons.

[4]. Fetecau, C., Athar, M., & Fetecau, C. (2009). Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate. Computers & Mathematics with Applications, 57(4), 596-603.

[5]. Griffiths, D. J. (1999). Introduction to Electro Dynamics (Third Ed.). Prentice Hall.

[6]. Ibrahim, K. A. Z. (2013). Analytical Solutions of Peristaltic Motion of Magnetohydrodynamic Non-newtonian Fluids (Doctoral dissertation, Universiti Teknologi Malaysia).

[7]. Irgens, F. (2008). Continuum mechanics. Springer Science & Business Media, ISBN 3-540-74397-2

[8]. Kundo, P. K., & Cohen, I. M. (2008). Fluid Mechanics. Amsterdam [u.a.]: Elsevier/Acad. Press.

[9]. Landau, L. D., & Lifshitz E. M. (1997). Fluid Mechanics. Translated by Sykes, J. B.; Reid, W. H. (2 ed.). Butterworth Heinemann.

[10]. Pedlosky, J. (1987). Geophysical fluid dynamics. Springer Science & Business Media.

[11]. Truesdell, C., & Noll, W. (2004). The non-linear field theories of mechanics. In The Non-linear Field Theories of Mechanics (pp. 1-579). Springer, Berlin, Heidelberg.

[12]. Zakaria, K. A., & Amin, N. S. (2014). The Lorentz Force. International Journal of Scientific and Innovative Mathematical Research (IJSIMR).

If you have access to this article please login to view the article or kindly login to purchase the article

Single Article

	North Americas,UK, Middle East,Europe		India	Rest of world
	USD	EUR	INR	USD-ROW
Online	15	15

ADD TO CART

Options for accessing this content:

If you would like institutional access to this content, please recommend the title to your librarian.
If you already have i-manager's user account: Login above and proceed to purchase the article.
New Users: Please register, then proceed to purchase the article.