APPROXIMATE CALCULATION OF THE TEMPERATURE DISTRIBUTION SURROUNDING COOLANT HOLES IN A HEAT GENERATING SOLID WITH FINITE VALUE OF FLUID HEAT TRANSFER COEFFICIENT

摘要

This report gives the results of a study of the temperature distribution within a heat generating solid cooled by the passage of a fluid through a net of small cylindrical holes spaced at the vertices of equilateral triangles. The effect of a finite value of the heat transfer coefficient of the fluid and the resulting temperature differences on the surface of the cooling holes are determined.nAn approximate solution is obtained by use of a series of circular harmonics. This series is truncated to a finite number of terras and the integration constants are evaluated by boundary collocation.nThe results indicate that only for very close spacing of the coolant holes (very "lacy" structures) does the pre diction of temperature differences in the generating solid vary significantly from the result for the infinite heat transfer coefficient solution.