Heat transfer from a heated non-rotating cylinder performing circular motion in a uniform stream

Forced convection from a heated non-rotating circular cylinder of radius a performing a circular motion of radius A^∗ and placed in a uniform cross flow of constant properties fluid is investigated numerically. The two-dimensional governing equations of flow motion and energy are solved numerically using Fourier spectral analysis together with finite difference approximations to determine the flow field characteristics and the heat transfer parameters. The flow and thermal fields are mainly influenced by Reynolds numbers, Re, Prandtl number, Pr, amplitude of circular motion, Ar=A^∗/a, and the frequency ratio, Fr=f^∗/f₀^∗, which represents the ratio between the frequency of circular motion, f^∗, and the natural vortex shedding frequency, f₀^∗. The ranges considered for these parameters are 60⩽Re⩽180, 0.1⩽Ar⩽1.0 and 0.5⩽Fr⩽3.0, while the Prandtl number is kept constant at 0.7. The study, in general, showed that the heat transfer rate increases appreciably in the high range of Re, Ar and Fr. Comparisons with previous numerical and experimental results verify the accuracy and the validity of the present study.