Effect of Prandtl Number on Magnetohydrodynamics Natural Convection in Open Square Cavity with heated Circular Cylinder for various Inclination Angle | Chapter 04 | Physical Science: New Insights and Developments Vol. 4

 

The presence of magnetic field on the convective heat transfer and the natural convection fluid flow are of paramount importance in scientific and engineering research. Several numerical and experimental methods have been developed to investigate flow characteristics inside the cavities with and without obstacle. Magnetohydrodynamics (MHD) natural convection and fluid flow in a two-dimensional open and inclined square cavity with a heated circular cylinder were considered in this study. The opposite wall to the opening side of the cavity was first kept at constant heat flux q, at the same time, the surrounding fluid interacting with the aperture was maintained at an ambient temperature 𝑇_∞. The top and bottom wall was kept at low and high temperatures, respectively. As a result, a natural convection is formed in the cavity due to the buoyancy force and temperature difference in the cavity. The governing equations for mass, momentum and energy conservation are expressed in a normalised primitive variables formulation. To the best knowledge of the authors there was no earlier work using these parameters and boundary conditions. The objectives of this study are to find out the characteristics of the streamlines and isotherms inside the cavity. The streamlines and isotherms are produced, heat transfer parameter Nu are obtained for various Prandtl numbers Pr = 0.72, 2, 5, 7 and inclination angles from 0°, 5°, 20°, 35°, 50° for fixed Hartmann number 60. The results are presented in graphical as well as tabular form. As a result, it is found that heat flux is an increasing function of Prandtl number Pr, while the Rayleigh number is 10000, and heat flux is maximum when the inclination angle is 5°. It is observed that fluid moves counterclockwise around the cylinder. Various recirculations are formed around the cylinder, and one small vortex is formed into the flow field for 50° inclination and Pr = 0.72 near the cylinder. Almost all the isotherm lines are concentrated at the right lower corner of the cavity. The present result agrees with the existing heat transfer and boundary layer theory.

 

Author(s) Details :-

 

Sheikh Anwar Hossain
University of Asia Pacific, Dhaka, Bangladesh and Ishwardi Govt. College, Pabna, Bangladesh.

 

M. A. Alim
Department of Mathematics, BUET, Dhaka, Bangladesh.

 

Satrajit Kumar Saha
Department of Mathematics, Jahangirnagar University, Savar, Dhaka, Bangladesh.

 

Please see the book here :- https://doi.org/10.9734/bpi/psniad/v4/6840