Numerical simulation of magneto-hydrodynamics mixed convection in an open channel having a semi-circular heater

  • Md. Masum Billah Ahsanullah University of Science and Technology
  • M. J. H. Munshi Hamdard University Bangladesh
  • A. K. Azad International Islamic University Chittagong
  • M. S. Uddin Jahangirnagar University
  • M. M. Rahman Bangladesh University of Engineering and Technology
Keywords: Penalty finite element method, channel flow, magnetohydrodynamics, circular heater, open cavity

Abstract

The present study is conducted to investigate heat and fluid flow in an open channel having a circular heater on the bottom surface under magnetic field. The semi-circle is heated isothermally and the other walls of the channel are kept adiabatic. The consequent mathematical model is governed by the coupled equations of mass, momentum and energy and solved by employing Galerkin weighted residual method of finite-element technique. A wide range of pertinent parameters such as Rayleigh numbers (Ra), and Hartmann numbers (Ha) are considered in the present study. In addition, the mixed convection regime is occurred due to buoyancy and shear forces. Various characteristics such as streamlines, isotherms and heat transfer rate in terms of the average Nusselt number (Nuav), average fluid temperature (?av), and Drag force (D) is investigated for the aforesaid parameters. The magnetic field is found as a control parameter on heat and fluid flow, particularly at higher Rayleigh numbers. It is observed that Hartmann numbers have a significant effect on average Nusselt number, average fluid temperature and Drag force.

DOI: http://dx.doi.org/10.3329/jname.v9i2.8020

Journal of Naval Architecture and Marine Engineering 9(2012) 81-90

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Author Biographies

Md. Masum Billah, Ahsanullah University of Science and Technology
Assistant Professor of Mathematics, Department of Arts and Sciences, Ahsanullah University of Science and Technology (AUST), Dhaka-1208.
M. J. H. Munshi, Hamdard University Bangladesh

Lecturer, Department of Mathematics, Hamdard University Bangladesh, Gozaria, Munshiganj, Bangladesh

A. K. Azad, International Islamic University Chittagong

Lecturer, Department of Business Administration, International Islamic University Chittagong, DC, Bangladesh

M. S. Uddin, Jahangirnagar University

Associate Professor

Department of Mathematics,

Jahangirnagar University, Savar, Dhaka-1342, Bangladesh

M. M. Rahman, Bangladesh University of Engineering and Technology

Professor

Department of Mathematics,

Bangladesh University of Engineering and Technology, Dhaka-1000, Bangladesh

Published
2012-12-19
How to Cite
Billah, M., Munshi, M., Azad, A., Uddin, M., & Rahman, M. (2012). Numerical simulation of magneto-hydrodynamics mixed convection in an open channel having a semi-circular heater. Journal of Naval Architecture and Marine Engineering, 9(2), 81-90. https://doi.org/10.3329/jname.v9i2.8020
Section
Articles