Numerical Simulation of Heat Transfer in a Wavy Enclosure with and without the Presence of Fins

Md. Abdullah Al Mahmud

Department of Mathematics, Hamdard University Bangladesh (HUB), Hamdard City of Science, Education and Culture, Gazaria, Munshigonj-1510, Bangladesh.

Md. Jahirul Haque Munshi *

Department of Mathematics, Hamdard University Bangladesh (HUB), Hamdard City of Science, Education and Culture, Gazaria, Munshigonj-1510, Bangladesh.

Md. Siful Islam

Department of Electrical and Electronics Engineering, Sonargaon University (SU), Tajgaon, Dhaka-1000, Bangladesh.

Md. Jamiul Islam

Department of Mathematics, Hamdard University Bangladesh (HUB), Hamdard City of Science, Education and Culture, Gazaria, Munshigonj-1510, Bangladesh.

Md. Abdul Mannan

Department of Mathematics, Hamdard University Bangladesh (HUB), Hamdard City of Science, Education and Culture, Gazaria, Munshigonj-1510, Bangladesh.

Md. Mehedi Hasan

Department of Mathematics, Hamdard University Bangladesh (HUB), Hamdard City of Science, Education and Culture, Gazaria, Munshigonj-1510, Bangladesh.

*Author to whom correspondence should be addressed.


Abstract

This study focuses on numerically simulating heat transfer in an enclosure with a wavy shape, both with and without the presence of fins. The research paper specifically investigates the case of a single vertical fin attached to the lower heated wall of the enclosure. The lower wall is maintained at a constant cold temperature, while the upper wall is kept cold, and the wavy walls are assumed to be constant heated temperature. The top wall lid moves left to right and bottom wall lid moves right to left with constant velocity.  Additionally, a magnetic field of certain strength is applied parallel to the x-axis. The flow inside the enclosure is characterized by a Prandtl number of 0.71. The results are presented through various graphical representations, such as streamlines, isotherms, velocity and temperature distributions, as well as the local Nusselt number. The researchers conducted a parametric study to examine the impact of the Richardson number on the fluid flow and heat transfer characteristics within the enclosure. The findings indicate that as the fluid flow and heat transfer characteristics within the enclosure. The findings indicate that as the Hartmann number increases (while keeping the Hartmann number constant) the heat transfer rate is enhanced. To validate their findings, the researchers compare their results with previously published works in the field.

Keywords: Mixed convection, wavy enclosure, lid-driven and fin


How to Cite

Mahmud , Md. Abdullah Al, Md. Jahirul Haque Munshi, Md. Siful Islam, Md. Jamiul Islam, Md. Abdul Mannan, and Md. Mehedi Hasan. 2023. “Numerical Simulation of Heat Transfer in a Wavy Enclosure With and Without the Presence of Fins”. Asian Research Journal of Mathematics 19 (9):95-104. https://doi.org/10.9734/arjom/2023/v19i9702.

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