Numerical study of transient convective turbulent boundary layer flow along a vertical plate: analysis of kinetic energy and its dissipation rate

Suresha, S. P.; Janardhana Reddy, G; Reddy, G. Janardhana; Kumar, Mahesh; Rani, H. P.; Anwar Bég, O

Abstract

The present article numerically investigates the turbulent buoyancy-driven (natural convection) flow along a vertical plate with a low Reynolds turbulence two-equation k-ε model. The deployed turbulence model is appropriate for low Reynolds number (LRN) turbulent flow adjacent to a solid boundary, and the turbulence kinetic energy (TKE) and dissipation rate of TKE are estimated using the momentum equations and are solved simultaneously with the mean flow conservation equations. Two-dimensional time-dependent viscous incompressible turbulent flow is simulated. This flow domain is governed by a highly non-linear group of partial differential equations, namely the time-averaged continuity, momentum, and energy, and also the flow property í µí¼ˆ í µí±¡ is determined through TKE, and dissipation rate of TKE equations. Since these equations are not solvable using analytical methods, an implicit second order finite difference method is employed to solve the governing turbulent flow equations numerically. The simulated time-averaged velocity, temperature, TKE, and dissipation rate of TKE profiles along with friction factor and heat transfer rate are computed for different values of turbulent Reynolds (í µí±í µí±’) and Prandtl (í µí±ƒí µí±Ÿ) numbers. Average velocity, temperature, turbulence energy, and dissipation rate under both transient and steady state conditions are decreased with increment in í µí±ƒí µí±Ÿ. There is a decrement in average transient velocity and

Citation

Suresha, S. P., Janardhana Reddy, G., Reddy, G. J., Kumar, M., Rani, H. P., & Anwar Bég, O. (in press). Numerical study of transient convective turbulent boundary layer flow along a vertical plate: analysis of kinetic energy and its dissipation rate. Waves in Random and Complex Media, 1-23. https://doi.org/10.1080/17455030.2023.2220821

• Journal Article Type: Article
• Acceptance Date: May 2, 2023
• Online Publication Date: Jun 19, 2023
• Deposit Date: May 18, 2023
• Publicly Available Date: Jun 20, 2024
• Journal: Waves in Random and Complex Media
• Print ISSN: 1745-5030
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• Pages: 1-23
• DOI: https://doi.org/10.1080/17455030.2023.2220821
• Keywords: General Physics and Astronomy, General Engineering
• Publisher URL: https://www.tandfonline.com/journals/TWRM