Simulation of natural convection heat transfer in a 2-D trapezoidal enclosure

Venkatadri, K; Gaffar, SA; Prasad, VR; Khan, BMH; Beg, OA

Abstract

Natural convection within trapezoidal enclosures finds significant practical applications. The natural convection flows play a prominent role in the transport of energy in energy-related applications, in case of proper design enclosures to achieve higher heat transfer rates. In the present study, a two-dimensional cavity with adiabatic right side wall is studied. The left side vertical wall is maintained at the constant hot temperature and the top slat wall is maintained at cold temperature. The dimensionless governing partial differential equations for vorticity-stream function are solved using the finite difference method with incremental time steps. The parametric study involves a wide range of Rayleigh number, Ra, 10(3)<ra<10(5) and Prandtl number (Pr=0.025, 0.71 and 10). The fluid flow within the enclosure is formed with different shapes for different Pr values. The flow rate is increased by enhancing the Rayleigh number (Ra=10(4)). The numerical results are validated with previous results. The governing parameters in the present article, namely Rayleigh number and Prandtl number on flow patterns, isotherms as well as local Nusselt number are reported.

Citation

Venkatadri, K., Gaffar, S., Prasad, V., Khan, B., & Beg, O. (2019). Simulation of natural convection heat transfer in a 2-D trapezoidal enclosure. International journal of automotive and mechanical engineering (Kuantan), 16(4), 7375-7390. https://doi.org/10.15282/ijame.16.4.2019.13.0547

• Journal Article Type: Article
• Acceptance Date: Dec 27, 2019
• Online Publication Date: Dec 31, 2019
• Publication Date: Dec 31, 2019
• Deposit Date: Jan 6, 2020
• Publicly Available Date: Feb 3, 2020
• Journal: International Journal of Automotive and Mechanical Engineering
• Print ISSN: 2229-8649
• Electronic ISSN: 2180-1606
• Volume: 16
• Issue: 4
• Pages: 7375-7390
• DOI: https://doi.org/10.15282/ijame.16.4.2019.13.0547
• Publisher URL: https://doi.org/10.15282/ijame.16.4.2019.13.0547
• Related Public URLs: http://journal.ump.edu.my/ijame/