A.A.Gourjii, O.V.Shaldenko
Numerial mīdelling of heat transfer process in microchannel of complex shapes with laminar flow of viscous fluid

Applied hydromechanics, Vol. 18 (90) ¹ 2, (2016) p.22-35
The heat transfer problem from the outside heated body into a uniform, viscous heat-transfer agent moved inside the straight and zigzag microchannel in an approximation of small Reynolds numbers Re is considered. The problem is solved numerically in "stream function-vorticity" terms using a simple explicit method for solving the vorticity transport equation and the heat equation with upwind direction and Poisson equation for the stream function using the method of successive over-relaxation. Numerical simulations show that zigzag microchannel with steady regime at Reynolds numbers Re<30...40 has an increased levels of heat flows due to formation of the circulation zones in the corner areas of the flow, formation of localized vortex structures and the displacement of the flow at the changing of the flow direction. It is shown that fluid pressure differences, which should be applied to the zigzag microchannel, for all values of axial velocities exceed the corresponding values for the straight microchannel. It is found that microchannel geometry changes for the Reynolds numbers Re<30...40 do not lead to increasing of the level of average rate of heat flows from the environment into the heat-transfer agent.
KEY WORDS:
heat transfer, average rate of heat flow, viscous flow, numerical solution, microchannel
TEXT LANGUAGE: Russian