#### 531.6.011.32:532.582.4:517.958 Construction of a semi-infinite equivalent body in mathematical modeling of subsonic separated axisymmetric flow

##### Timofeev V. N. (Bauman Moscow State Technical University)

###### MATHEMATICAL MODELING, SUBSONIC SEPARATION FLOW, CONCEPT OF VISCOUS-INVISCID INTERACTION, EQUIVALENT BODY, DISCRETE VORTEX METHOD, BASE PRESSURE.

doi: 10.18698/2309-3684-2016-4-6783

The purpose of the work was to do mathematical modeling of axisymmetric body separation flow at subsonic velocities of incident flow. In our research we used the concept of viscous-inviscid interaction. We found velocities and pressures on the surface of the body under study according to the results of calculating of some equivalent body inviscid flow. The wake turbulence effect was simulated by the tailed section of the equivalent body. We examined the semi-infinite tailed sections of the equivalent body instead of the tailed sections of finite length. Moreover, we studied flow separation conditions in the base region. For the numerical simulation we used the discrete vortex method. The base pressure was found by Horner formula. We carried out mathematical modeling of the flow around cylindrical bodies with the head part of the ogival form.

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Timofeev V. Construction of a semi-infinite equivalent body in mathematical modeling of subsonic separated axisymmetric flow. Маthematical Modeling and Coтputational Methods, 2016, №4 (12), pp. 67-83