V. I. Zapryagaev1, I. N. Kavun1, S. P. Rybak2, A. A. Pivovarov1 1Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia 2S.P. Korolev Rocket and Space Corporation Energia, Korolev, 141070 Russia
Keywords: jet, transonic flow, wake flow, gas-dynamic parameters, emergency escape rocket, laser light sheet method, visualization, PIV
This paper presents a method for determining the gas-dynamic parameters of gas flow based on nonintrusive PIV measurements of the velocity field. The wake flow past a model single nozzle of an emergency escape rocket is considered for the normal transonic (Mach number is 0.85) flight mode of a launch vehicle with a manned spacecraft. The flow around the nozzle is simulated numerically using the RANS and LES methods. The results obtained by the proposed method are compared with numerical and experimental data.
W. Lin1,2, Y. Zhang2 1Wuxi Institute of Technology, Wuxi, Jiangsu Province, China 2Changzhou University, Changzhou, Jiangsu Province, China
Keywords: cell membrane, transport, water, wall slippage
A nanoscale calculation is performed for water permeation through the cell membrane in a human body, which is 7-8 nm thick and contains densely distributed nanopores with the radii ranging between 0.2 and 0.5 nm. The pressure drop and the critical power loss on a single nanopore for initiating the wall slippage are calculated. The wall slipping velocity is found to increase significantly with reduction of the pore radius and to increase linearly with an increase in the power loss on the pore. For no wall slippage, the water mass flow rate through the pore is significantly lower than the classical hydrodynamic flow theory calculation; however, it is much greater (by three to five orders of magnitude) than the classical hydrodynamic flow theory calculation in the case where the wall slippage occurs. This water flow enhancement is heavily dependent on the power loss on the pore.
C. Zhang, W. W. Wang, Z. T. Tong
Tianjin University of Technology, Tianjin, 300384, China
Keywords: turbine cooling blade, intersecting rib, thermal boundary condition, heat transfer efficiency
The current study focuses on the influence of thermal boundary conditions, especially for a ribbed cooling channel with two intersecting ribs. Numerical studies are carried out for the Reynolds number of 30000 under two kinds of thermal boundary conditions, i.e., the constant wall temperature condition and the uniform heat flux condition. The local normalized Nusselt number distributions and area-averaged values are compared and further analyzed. The thermal boundary type and value both affect the heat transfer performance. The uniform heat flux condition always yields higher heat transfer than the constant wall temperature condition. A correlation for the wall-to-coolant temperature ratio is obtained and compared with previously published correlations.
S. V. Meleshko1, P. Sirivat2 1Institute of Science at Suranaree University of Technology Nakhon Ratchasima, 30000, Thailand 2Mae Fah Luang University, Chiang Rai, 57100 Thailand
Keywords: group classification, equivalence group, admissible Lee group, Green-Naghdi equations
The two-dimensional Green-Naghdi equations are investigated in the case of an uneven bottom topography. The function which determines the topography of the bottom and may depend on time is considered. A group classification of the equations under study with respect to the function describing the bottom topography is carried out using an algebraic approach.
S. G. Mironov, T. V. Poplavskaya, S. V. Kirilovskiy, I. R. Valiullin, T. S. Militsyna, A. A. Maslov
Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Keywords: supersonic flow, gas-permeable porous inserts, drag coefficient
Results of an experimental and numerical study of a supersonic flow around a cylinder with a gas-permeable cellular-porous frontal insert aligned at various angles of attack are reported. The experiments are performed in the T-327 wind tunnel based at the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences at the Mach number of 7 and Reynolds number of 1.5x106 m-1. The forces and moments are measured on models with diameters of 10.0, 14.5, 24.0, and 34.0 mm. The models are equipped with porous inserts whose length is equal to two diameters of the cylinder, the porosity value is 95%, and the pore diameters are 1, 2, 3, and 4 mm. The angle of attack is varied in the interval 0-25oC. The numerical simulations are performed by means of solving three-dimensional Reynolds-averaged Navier-Stokes equations with the use of the (k-ω)SST turbulent model and a toroidal skeleton model of the porous material. Based on generalization of experimental and numerical data for the normalized drag coefficient at various angles of attack, empirical dependences of this quantity on the similarity parameter including the ratio of the pore diameter to the cylinder diameter and the Mach number are derived.
A. V. Boiko, S. V. Kirilovskiy, T. V. Poplavskaya
Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Keywords: laminar-turbulent flow, e method of determining the transition position, numerical simulation
Results of methodical activities on optimization of computations of the laminar-turbulent flow on various computational grids aimed at saving computational resources are reported. The study is performed on the basis of data calculated for a supersonic flow around a swept wing in a virtual wind tunnel with the use of the ANSYS Fluent CFD software with an additional package for determining the laminar-turbulent transition developed at the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences on the basis of the eN method.
E. N. Zhuravleva1,2, V. V. Pukhnachev1,2 1Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia 2Novosibirsk State University, Novosibirsk, 630090 Russia
Keywords: fluid flow with a free boundary, exact solutions
A problem of rotation of a fluid layer bounded by a solid plane and a free surface parallel to this plane is considered. The fluid can be an ideal or a viscous fluid. Conditions for the existence of solutions of the corresponding problems for the Euler and Navier-Stokes equations on an infinite time interval are formulated. Examples of the numerical solution of the problem are presented.
A. L. Kazakov1, L. F. Spevak2 1Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033, Russia 2Gorkunov Institute of Engineering Science, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620049, Russia
Keywords: reaction-diffusion system, diffusion wave, existence and uniqueness theorem, power series, radial basis functions
For a non-linear parabolic reaction-diffusion system, solutions of the diffusion wave type are constructed and investigated. For the first time, the formulation of the problem is considered, which involves the assignment of non-coinciding zero fronts for various desired functions. A theorem on the existence and uniqueness of solutions in the form of series in the class of piecewise analytic functions is proved. To construct approximate solutions of the desired type, a step-by-step iterative algorithm based on the collocation method and expansion in radial basis functions is proposed. Calculations were performed, for the verification of the results of which segments of the series were used. A numerical analysis of the behavior of the constructed solutions was carried out.
Yu. V. Pakharukov1,2, F. K. Shabiev1,2, R. F. Safargaliev1,2, A. V. Shabieva3 1Tyumen State University, Tyumen, 625003, Russia 2Industrial University of Tyumen, Tyumen, 625000, Russia 3Tyumen State Medical University, Tyumen, 625023, Russia
Keywords: graphene nanofluid, graphene film, corrugated surface, porous medium
The paper considers the mechanism of reducing the permeability of aqueous graphene suspension through the oil-saturated core compared to distilled water. Analysis of experimental data shows that an increase in permeability is due to the formation of corrugated films at the interface between two immiscible fluids during their mutual motion. The appearance of wavy surfaces is the result of Kelvin-Helmholtz instability at the grapheme-nanofluid-hydrocarbon interface. It is also shown that the occurrence of instability is possible only in the presence of a transition layer-graphene film.
V. Yu. Liapidevskii, A. A. Chesnokov
Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Keywords: mixing layer, shallow water, internal waves, Boussinesq approximation
Two nonlinear models are proposed that describe the formation and evolution of the mixing layer between two codirectional stratified fluid flows based on a three-layer flow representation in the long-wavelength approximation. The models are similar in structure, and in Boussinesq approximation, the equations of motion are written in a uniform way in the form of a system of inhomogeneous conservation laws. The speeds of propagation of perturbations are determined, and the concept of subcritical (supercritical) flow is formulated. Continuous and discontinuous solutions of the models are constructed. It is shown that for a sufficiently large difference between the velocities of codirectional flows, the stationary mixing layer expands monotonically and the maximum entrainment mode occurs. With a decrease in the initial difference in the velocities of the cocurrent flows, an oscillating stationary solution is obtained and the structure of the mixing layer becomes wavy. For one of the flow modes, the obtained solutions are compared with experimental data.