Numerical Simulation of Heat Flow on Blunted Bodies of Rotation of Variable Curvature in a Supersonic Gas Flow

Abstract

The article proposes an analytical formula for the approximation of heat flux calculation (based on the corresponding value at the point of flow deceleration) for convex blunted rotating bodies of variable curvature and arbitrary shape streamlined by a supersonic gas stream. The need for such a formula arises from the fact that more complex mathematical calculations take a long time for preliminary study of thermal parameters. Existing approximate dependencies are limited to spherical bodies. However, the use of the local sphere approximation, where heat flow on the body is considered the same as on a sphere, introduces significant errors for bodies with different shapes such as ellipsoids, paraboloids, hyperboloids, etc. In this context, it has become necessary to develop a novel formula that can rapidly evaluate heat flows on blunt bodies. The findings from the analysis indicate that the utilization of the proposed formula offers acceptable estimates of the required parameters for practical implementation, as demonstrated by a comparison between the relative heat flux derived from the proposed formula and the numerical results obtained using Navier --- Stokes equations or a boundary layer model

Please cite this article in English as:

Kotenev V.P., Bulgakova Yu.S., Sysenko V.A. Numerical simulation of heat flow on blunted bodies of rotation of variable curvature in a supersonic gas flow. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2024, no. 6 (117), pp. 4--14 (in Russ.). EDN: ELEZDM

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