Numerical study of forced convection heat transfer across a cylinder with various cross sections
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Numerical study of forced convection heat transfer across a cylinder with various cross sections Muhammad M. Janjua1 · Najeeb U. Khan1 · Waqar A. Khan2 · Waseem S. Khan1 · Hafiz Muhammad Ali3 Received: 29 January 2020 / Accepted: 22 September 2020 © Akadémiai Kiadó, Budapest, Hungary 2020
Abstract The thermal performance of an isothermal horizontal cylinder with different selected cross sections in cross-flow was investigated numerically. These cross sections include circular, elliptical, square, rectangular, hexagonal and triangular cross sections. The governing partial differential equations including continuity, momentum and energy equations are solved using the software Fluent™ (Version 18.2). The angle of attack is considered to vary from 0° to 90° for elliptic, square, triangular and hexagonal cross sections for the isothermal thermal boundary conditions. The selected geometries were imported from the software Creo™ Parametric 4.0, and the flow was analyzed using pressure-based solver. The pressure–velocity coupling was solved using SIMPLE scheme. For turbulence model, Reynolds Stress Method-Baseline (RSM-BSL) is used to analyze the flow. It was demonstrated that the average Nusselt number depends on the Reynolds number as well as the orientation of the cylinder. The numerical results thus obtained do agree with those of earlier published experimental results. Keywords Forced convection · Heat transfer · Nusselt number · Cross sections · Fluent List of symbols Ts Cylinder surface temperature (K) T∞ Free stream temperature (K) T Temperature (K) p Free stream pressure (Pa) u x component of velocity (ms−1) U∞ Free stream velocity (ms−1) v y component of velocity (ms−1) D Diameter of circumscribed circle (m) Re Reynolds number based on characteristic length, Re = ρU∞L/μ L Characteristic length = diameter of circumscribed circle (m) Pr Prandtl number, Pr = μcp/k * Hafiz Muhammad Ali [email protected] 1
Department of Mechanical and Mechatronics Engineering, Higher Colleges of Technology, P.O. Box 15825, Dubai, United Arab Emirates
2
Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al Khobar 31952, Kingdom of Saudi Arabia
3
Mechanical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Kingdom of Saudi Arabia
cp Specific heat at constant pressure (J kg−1 K−1) k Thermal conductivity (W m−1 K−1) μ Dynamic viscosity (kg m−1 s−1) ρ Density (kg m−3) h Convective heat transfer coefficient (W m−2 K−1) Nu Nusselt number, Nu = hL/k R2 Coefficient of determination
Introduction The variation in the convective heat transfer coefficient across different cross sections is an important consideration in the design and production of heat exchangers, transmission cables and electronic equipment. The convective heat transfer across circular, elliptical, square, rectangular, hexagonal and triangular cross sections inclined at various angles to a uniform stream of air is numerically investigated. This proble
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