Abstract
The paper describes a computational experiment and presents the results of numerical modeling of an axisymmetric body with an optimized shape with a minimum aerodynamic drag force as a heat sink in a convective gas flow. The resulting optimized body shape coincides with streamlines, which is the main advantage, since no separation of the flow from the surface is observed in the flow around. Thus, the entire surface area will be the effective surface area of the heat sink, unlike other known body shapes, due to which the temperature of the heat-loaded element placed in the center of the heat sink will decrease.
Highlights
Despite the seeming simplicity of external forms, flow around simple bodies is a very complex process even in isolated conditions
Numerical modeling is carried out to confirm the theoretical solution to the problem of finding the shape of an optimal aerodynamic body with a minimum aerodynamic drag, which is reduced to calculating the mathematical formula of the curve forming a given body by rotation about an axis that coincides with the direction of the flow of a given velocity, which we obtained in our work [3]
We present the results of numerical modeling carried out in the Ansys Fluent software product to study the temperature of a point heat-loaded element in a heat sink of an optimized shape, calculated for a given convective flow rate and, for example, a spherical one, which is notable for the minimum surface area for equal body volumes
Summary
Despite the seeming simplicity of external forms, flow around simple bodies is a very complex process even in isolated conditions. Even more complicated is the flow around and the calculation of the aerodynamic characteristics of bodies, when their simplest geometric shapes are part of even more complex shapes. In this case the mutual influence of individual parts of the body surface on each other is manifested, significantly complicating the initial picture currents. Numerical modeling is carried out to confirm the theoretical solution to the problem of finding the shape of an optimal aerodynamic body with a minimum aerodynamic drag, which is reduced to calculating the mathematical formula of the curve (streamline) forming a given body by rotation about an axis that coincides with the direction of the flow of a given velocity, which we obtained in our work [3]
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