Abstract
In this study, an unsteady flow for drainage through a circular tank of an isothermal and incompressible Newtonian magnetohydrodynamic (MHD) fluid has been investigated. The series solution method is employed, and an analytical solution is obtained. Expressions for the velocity field, average velocity, flow rate, fluid depth at different times in the tank and time required for the wide-ranging drainage of the fluid (time of efflux) have been obtained. The Newtonian solution is attained by assuming σΒ02=0. The effects of various developing parameters on velocity field υz and depth of fluid H(t) are presented graphically. The time needed to drain the entire fluid and its depth are related and such relations are obtained in closed form. The effect of electromagnetic forces is analyzed. The fluid in the tank will drain gradually and it will take supplementary time for complete drainage.
Publisher
Engineering, Technology & Applied Science Research
Reference26 articles.
1. D. D. Joye, B. C. Barrett, “The tank drainage problem revisited: Do these equations actually work?”, The Canadian Journal of Chemical Engineering, Vol. 81, No. 5, pp. 1052–1057, 2003
2. A. N. Hrymak, “Applied fluid mechanics by T. C. Papanastasiou, Prentice-Hall, Englewood Cliffs, NJ, 1994, 520 pp.”, AIChE Journal, Vol. 41, No. 10, pp. 2342–2342, 1995
3. R. B. Bird, W. E. Stewart, E. N. Lightfoot, Transport phenomena, John Wiley and Sons, 1961
4. E. J. Crosby, Experiments in transport phenomena, Wiley, 1961
5. D. Hanesian, A. Perna, A laboratory manual for fundamentals of engineering design, chemical engineering module: Measurements laboratory, New Jersey Institute of Technology, 1995
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献