Mathematical modeling of intensified heat exchange in pipes with turbulizers at turbulent current at high Reinolds numbers

Abstract

In the framework of this paper, the problem of intensifying heat transfer at high Reynolds numbers was solved with the use of a four-layer model of the turbulent boundary layer. The calculated data showed that the intensification of heat transfer can decrease by (60 ? 70)% with a million Reynolds number and by (65 ? 75)% – with a billionth in relation to similar heat exchange intensification conditions at a ten thousandth Reynolds number. Calculated data showed that with an increase in the Reynolds number from a million to a billion, the relative heat transfer value is practically stabilized; the influence of roughness on tubes with turbulence on heat transfer can be quite significant: of the order of (15 ? 30)% – for gases and (14 ? 24)% – for liquids. Reduction of relative heat transfer in the presence of surface roughness between turbulators for small diameter pipes at very high Reynolds numbers is less than 2.5%.