Abstract
Abstract
The influence of various side wall inclination angles on the flow transition from laminar to chaos region in pure mixed convection heat transfer in a lid-driven trapezoidal cavity has been numerically investigated in this study. The governing non-dimensional Navier-Stokes and thermal energy equations are solved using the Galerkin weighted residual finite element method. The study explores the effects of different inclination angles of the two side walls from 0° to 30° over the transition characteristics, maintaining a constant cross-sectional area of the cavity. The overall investigation is carried out in the pure mixed convection regime, simultaneously varying the Reynolds and the Grashof numbers within the range of 10-1 to 103 and 10-2 to 106, respectively. The isotherm contours and streamline plots at local maximum, and minimum points of the chaos regions are introduced. The heat transfer performance inside the cavity is quantified by obtaining the average Nusselt number along the bottom heated surface. It is found that the transition occurs at a higher Re with the increase of the sidewall inclination angle. Two chaos regions are observed in the case of larger inclination angles. However, for small inclination angles, only one chaos region is found.
The influence of various side wall inclination angles on the flow transition from laminar to chaos region in pure mixed convection heat transfer in a lid-driven trapezoidal cavity has been numerically investigated in this study. The governing non-dimensional Navier-Stokes and thermal energy equations are solved using the Galerkin weighted residual finite element method. The study explores the effects of different inclination angles of the two side walls from 0° to 30° over the transition characteristics, maintaining a constant cross-sectional area of the cavity. The overall investigation is carried out in the pure mixed convection regime, simultaneously varying the Reynolds and the Grashof numbers within the range of 10-1 to 103 and 10-2 to 106, respectively. The isotherm contours and streamline plots at local maximum, and minimum points of the chaos regions are introduced. The heat transfer performance inside the cavity is quantified by obtaining the average Nusselt number along the bottom heated surface. It is found that the transition occurs at a higher Re with the increase of the sidewall inclination angle. Two chaos regions are observed in the case of larger inclination angles. However, for small inclination angles, only one chaos region is found.