The Riemann problem for functions with polar lines of higher orders

© 2014, Allerton Press, Inc. We consider solutions of the jump problem, homogeneous and inhomogeneous Riemann problems for functions with polar lines of orders pk +1 (k = 1, 2, … ), pk ⩾ 0. We study the cases of continuous and discontinuous coefficients. In the special case pk = 0 the obtained results turn into the earlier known ones

The Schwarz problem for infinite sets of intervals

© 2016, Allerton Press, Inc.We solve the Schwarz problem for boundary contours consisting of countable sets of segments with limit point at infinity, including the periodic case. The solution is a result of a reduction to corresponding Riemann boundary-value problems

Estimation of turbulent diffusion transport in the boundary layer by the SIV method

© 2018 Institute of Physics Publishing. All rights reserved. The study aims at an experimental estimation of turbulent diffusion transport of Reynolds stresses in a developed turbulent zero-gradient boundary layer. Estimates were derived from dynamics of two-component instantaneous velocity vector fields measured by an Smoke Image Velocimetry (SIV) optical method. The obtained profiles were compared with DNS results at a similar value of Reτ

Estimating of higher order velocity moments and their derivatives in boundary layer by Smoke Image Velocimetry

© Published under licence by IOP Publishing Ltd. The results of an experimental evaluation of the third-order moments profiles of velocity fluctuations and their partial derivatives in a zero pressure-gradient turbulent boundary layer are presented. Profiles of characteristics are estimated on the basis of the dynamics of two-component instantaneous velocity vector fields measured by the optical method Smoke Image Velocimetry (SIV). Comparison SIV-measurements with the results of measurements by a thermoanemometer and DNS data with similar Re θ and Re τ showed good agreement between the profiles of + , + , ∂ + /∂y + ∂ + /∂y + obtained by SIV and DNS

The Riemann problem for functions with polar lines of higher orders

© 2014, Allerton Press, Inc. We consider solutions of the jump problem, homogeneous and inhomogeneous Riemann problems for functions with polar lines of orders pk +1 (k = 1, 2, … ), pk ⩾ 0. We study the cases of continuous and discontinuous coefficients. In the special case pk = 0 the obtained results turn into the earlier known ones

The Riemann problem for functions with polar lines of higher orders

© 2014, Allerton Press, Inc. We consider solutions of the jump problem, homogeneous and inhomogeneous Riemann problems for functions with polar lines of orders pk +1 (k = 1, 2, … ), pk ⩾ 0. We study the cases of continuous and discontinuous coefficients. In the special case pk = 0 the obtained results turn into the earlier known ones

The Schwarz problem for infinite sets of intervals

© 2016, Allerton Press, Inc.We solve the Schwarz problem for boundary contours consisting of countable sets of segments with limit point at infinity, including the periodic case. The solution is a result of a reduction to corresponding Riemann boundary-value problems

The Schwarz problem for infinite sets of intervals

© 2016, Allerton Press, Inc.We solve the Schwarz problem for boundary contours consisting of countable sets of segments with limit point at infinity, including the periodic case. The solution is a result of a reduction to corresponding Riemann boundary-value problems

Drop entrainment in two-phase non concurrent film flow

© 2019 Published under licence by IOP Publishing Ltd. When the motion vectors of the media are collinear, well-known experimentally obtained empirical criteria are used to assess the conditions for the drop entrainment by the gas flow from the surface of a moving liquid film. However, blowing a liquid film at an angle with gas causes a tangential component in the film movement, which is an additional factor affecting its thickness and the velocity profile. The paper presents the correctness of the criterion of the conditions for the drop entrainment and the effect of the noncollinearity of the vectors of the media counterflow on the dynamics of a liquid film estimated from the results of numerical simulation

Drop entrainment in two-phase non concurrent film flow

© 2019 Published under licence by IOP Publishing Ltd. When the motion vectors of the media are collinear, well-known experimentally obtained empirical criteria are used to assess the conditions for the drop entrainment by the gas flow from the surface of a moving liquid film. However, blowing a liquid film at an angle with gas causes a tangential component in the film movement, which is an additional factor affecting its thickness and the velocity profile. The paper presents the correctness of the criterion of the conditions for the drop entrainment and the effect of the noncollinearity of the vectors of the media counterflow on the dynamics of a liquid film estimated from the results of numerical simulation