Turbulent Lorentz heat flow visualization in radiative boundary layer regime

Suresha, S P; Janardhana Reddy, G; Sreenivasulu, B; Anwar Bég, Osman

Abstract

Modern nuclear energy systems often employ MHD and feature radiative heat transfer. Motivated by studying the near-wall transport phenomena in such applications, the article examines the simultaneous influence of thermal radiative flux and magnetohydrodynamics (MHD) on two-dimensional electrically conducting turbulent flow and natural convective heat transfer about a vertical surface under a transverse static magnetic field using the low Reynolds number (LRN) kinetic energy and dissipation (k-ε) model. The Rosseland diffusion flux model is deployed for radiative heat transfer. An optimized Crank-Nicolson finite difference method (FDM) is applied to solve the non-linear and coupled system of Reynolds-averaged boundary layer equations, which includes the equation of average continuity, momentum, energy, kinetic energy, and dissipation rate of kinetic energy. Detailed computations are conducted to visualize the streamlines and heat lines in laminar and turbulent regimes via mathematical stream and heat functions based on the Bejan approach. A detailed paramateric study of the effects of the magnetic field, radiative flux and turbulent Reynolds number on flow average velocity, temperature, kinetic energy, and dissipation rate is conducted. The simulations reveal that an increase in the magnetic field intensity (as simulated via the magnetic interaction number) reduces the average velocity and dissipation rate, whereas an increase in thermal radiation decreases the time mean temperature. The study also includes contour plots of kinetic energy and dissipation rate, along with skin friction coefficient and Nusselt number. The obtained numerical outcomes are compared to previous literature, and a good agreement is found. The investigation provides a comprehensive insight into coupled MHD radiative turbulent natural convection flows and a solid benchmark which may further be generalized to three-dimensional simulations.

Citation

Suresha, S. P., Janardhana Reddy, G., Sreenivasulu, B., & Anwar Bég, O. (2023). Turbulent Lorentz heat flow visualization in radiative boundary layer regime. Numerical Heat Transfer, Part A Applications, 1-25. https://doi.org/10.1080/10407782.2023.2255934

• Journal Article Type: Article
• Acceptance Date: Sep 1, 2023
• Online Publication Date: Sep 20, 2023
• Publication Date: Sep 20, 2023
• Deposit Date: Sep 13, 2023
• Publicly Available Date: Sep 21, 2024
• Journal: Numerical Heat Transfer, Part A: Applications
• Print ISSN: 1040-7782
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• Pages: 1-25
• DOI: https://doi.org/10.1080/10407782.2023.2255934
• Keywords: Condensed Matter Physics, Numerical Analysis