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.
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
The paper introduces some special features of mathematical simulation of subsonic detached flow around the bodies, the flow being localized in the vicinity of the ground shear. The formation of vortex diagram for the semi-infinite equivalent body is examined. The formulae for determining the vector functions of the vortex segments velocity are reduced to a form allowing one to easily pass to the limit as the points of the origin or ends of these segments are moved off to infinity. Furthermore, the study shows the relationships for finding the velocity function vectors of semi-infinite vortex segments and U-shaped vortex lines, the relationships being adapted for computer calculations. Findings of mathematical simulation of the flow around cylindrical bodies with the head part of the ogival form are given.
Timofeev V.N. Special features of vortex diagram in simulation of subsonic detached flow around the semi-infinite equivalent body. Mathematical Modeling and Computational Methods, 2017, №4 (16), pp. 73-91.