MHD flow and heat transfer of a Bingham fluid in an eccentric annulus with the Hall effect
Abstract
The steady laminar flow and heat transfer of an incompressible, electrically conducting, non-Newtonian Bingham fluid in an eccentric annulus are studied in the presence of an external uniform magnetic field . The inner cylinder is subject to a constant heat flux while the outer cylinder is adiabatic and, the viscous and Joule dissipations are taken into consideration. The governing momentum and energy equations are solved numerically using the finite difference approximations. The velocity, the temperature, the volumetric flow rate and the average Nusselt number are computed for various values of the physical parameters.
References
[1] H.M. Antia. Numerical Methods for Scientists and Engineers. Tata McGraw-Hill, New Delhi, 1991.
[2] A.M. Ateia, M.E. Sayed, H.H.S. El-Din. Magnetohydrodynamic flow and heat transfer of a Casson in an eccentric annulus. AI-Azhar Engineering 7th International Conference, Cairo, Egypt, April 7- 10, 2003, CD Code M04/ 01.
[3] K. Cramer, S. Pai. Magnetofiuid Dynamics for Engineers and Applied Physicists. McGraw- Hill, 1973.
[4] M. Fortova, M. Buchtelova, J . David. The axial laminar flow of a viscoplastic liquid in an eccentric annulus-a new approximate formula. Acta Techn., CSAV, 37: 305-316, 1992.
[5] T.L. Guckes. Laminar flow of non-Newtonian fluids in an eccentric annulus. 1Tans. ASME, J. Engrg. Industry, 97: 498- 506, 1975.
[2] A.M. Ateia, M.E. Sayed, H.H.S. El-Din. Magnetohydrodynamic flow and heat transfer of a Casson in an eccentric annulus. AI-Azhar Engineering 7th International Conference, Cairo, Egypt, April 7- 10, 2003, CD Code M04/ 01.
[3] K. Cramer, S. Pai. Magnetofiuid Dynamics for Engineers and Applied Physicists. McGraw- Hill, 1973.
[4] M. Fortova, M. Buchtelova, J . David. The axial laminar flow of a viscoplastic liquid in an eccentric annulus-a new approximate formula. Acta Techn., CSAV, 37: 305-316, 1992.
[5] T.L. Guckes. Laminar flow of non-Newtonian fluids in an eccentric annulus. 1Tans. ASME, J. Engrg. Industry, 97: 498- 506, 1975.
Published
2022-09-07
Issue
pp. 25-42
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Sayed-Ahmed, M. E., & Attia, H. A. (2022). MHD flow and heat transfer of a Bingham fluid in an eccentric annulus with the Hall effect. Computer Assisted Methods in Engineering and Science, 14(1), 25-42. https://cames3.ippt.pan.pl/index.php/cames/article/view/853
