Entropy analysis for heat transfer in a rectangular channel with suction

Abstract

The purpose for this paper is to study heat transfer in a rectangular channel with suction applied at the adjacent two side walls. A two‐dimensional laminar viscous fluid flow is generated due to the application of suction/injection. The other two opposite sides are kept at a constant temperatures, and the walls with suction are maintained at a constant heat flux. The streamlines thus obtained due to the flow and isothermal lines and heat function are analyzed. The regions of high and low frictions are found by drawing contours of the entropy generation number and the Bejan number. The biharmonic equation for stream function is numerically solved by the Finite Difference Method (FDM) using a 13‐point formula, and a five‐point formula is used to solve for all other harmonic equations for temperature, heat function, and pressure. For derivative boundary conditions, the central difference formula with fictitious nodes is used. In the analysis, we note that the corner points are regions of high energy dissipation. The least dissipation of energy is near the wall, where the nondimensional temperature is 1. This paper analyzes heat transfer in the rectangular channel through the heat function and entropy generation number.

Determining the structure of a laminar detachable current in an open cavity

“…Of applied character, in solving the conjugated problems of hydrodynamics and thermal exchange, is the series of papers that employ a joint solution to the equations of motion and energy [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. If one examines, in the problem on a medium's motion in a cavity, the joint effect of the fields of speed, pressure, and temperature, a given problem then could be applied when the heat exchange is intensified.…”

“…Of interest is a study reported in work [14] into the effect of flow control on heat exchange in a three-dimensional rectangular cavity. The authors established patterns in current lines, isotherms, and identified regions with the maximum and minimum energy dissipation values.…”