Conjugate heat transfer in an enclosure with a centered conducting body imposed sinusoidal temperature profiles on one side

The present work is concerned with natural convection heat transfer and fluid flow in a vertical enclosure subject to periodic temperature boundary condition imposed at the right sidewall with a conducting body placed at the center of the enclosure. A close inspection is concentrated to the effects of the body size and thermal conductivity ratio on the resonant frequencies for unsteady state. The body size varies from 0.1 to 0.9 the height of the enclosure, and the thermal conductivity ratio from 0.1 to 20. The results are presented in terms of amplitude of cycle averaged Nusselt number, fluctuating velocity and temperature contours and its intensity. The vertical and horizontal temperature excursions are also shown. It is found that the resonant frequency decreases with increasing the body size and thermal conductivity ratio. The disturbance of hot wall travels the core region, and will be interrupted by the centered body. Double-peak structure of the vertical velocity intensity would be observed at resonance.