Механизмы возникновения турбулентности на крыле в сверхзвуковом полёте

项目来源

俄罗斯科学基金(RSF)

项目主持人

Чувахов Павел Владимирович,Доктор физико-математических наук

项目受资助机构

федеральное государственное автономное образовательное учреждение высшего образования"Московский физико-технический институт",г Москва

项目编号

19-79-10132

财政年度

2022,2019

立项时间

未公开

项目级别

国家级

研究期限

未知 / 未知

受资助金额

未知

学科

ENGINEERING SCIENCES-Motion of objects and apparatuses within different media

学科代码

09-09-104

基金类别

未公开

восприимчивость ; ламинарно-турбулентный переход ; сверхзвуковой полёт ; крыло ; физически обоснованное моделирование ; прямое численное моделирование ; теория устойчивости ; receptivity ; laminar-turbulent transition ; supersonic flight ; wing ; physics-based modelling ; direct numerical simulation ; stability theory

参与者

未公开

参与机构

未公开

项目标书摘要:nnotation:Occurrence of turbulence is one of the key problems of fundamental fluid dynamics and applied aerodynamics of flight vehicles(FV)of new generation,including highly energy-conserving and ecological airplanes with natural and/or artificial laminarization,and supersonic airplanes with low sonic boom level.In spite of many years effort of scientific laboratories over the world,physical mechanisms behind the occurrence of turbulence in supersonic boundary layers are poorly studied.So far,there are no reliable methods to predict location of laminar-turbulent transition(LTT)regions as well as to compute coefficients of viscous friction and heat flux in such regions for elements of real supersonic FV.This,in turn,complicate the development of efficient laminarization systems.Urgency and relevance of the Project is connected to the need for ecological and highly energy-conserving transportation systems.External disturbances triggering the process of laminar-turbulent transition cannot be modeled in wind tunnels.Flight experiments are expensive and yield little information.Therefore,numerical simulations become more valuable for the problem in hand.The main tool to solve the tasks of the Project will be the method of direct numerical simulation(DNS)based on the solution of three-dimensional unsteady Navier-Stokes equations for a perfect gas.Simulation results will be compared with theoretical,numerical and wind tunnel data available.Focused on supersonic flow over an upswept wing with thin airfoil,linear stability computations will be performed and frequency-wave number range of unstable disturbances will be determined along with the most‘dangerous’type of disturbances.Vortical disturbances of inertial or Kolmogorov’s intervals of atmospheric turbulence are supposed to play the most important role in LTT process.Their spectrum is of simple shape.This lets us model the external LTT-triggering disturbances with relatively simplisity under the conditions of supersonic flight.Testing of this hypothesis is one of the main objectives of the Project.A series of DNS computations will help in determination to what extent the process of LTT depends on the parameters of atmospheric turbulence.All stages of LTT will be investigated,including nonlinear mechanisms of occurrence of turbulent spots.The dependence of such mechanisms on the external disturbance environment will also be determined.The preset Project will allow to answer the following questions of principal importance.Which mechanism of nonlinear breakdown leading to formation of turbulent spots dominates on the upswept wing with thin airfoil under the typical conditions of supersonic flight?To what extent does it depend on atmospheric disturbances?Which way should one model(or predict)this dependence for natural conditions in order to provide acceptable accuracy of computations of aerodynamic and heat characteristics of the wing under transitional flow regime?The formulated problems of the Project are novel or poorly studied both in Russia and abroad.Professionals with many years of experience in this scope of science are to solve them.The results of the Project are expected to correspond to the worldwide level and even exceed it.Expected results:The Project will help to obtain reliable physics-based results on laminar-turbulent transition(LTT)at supersonic speeds of flight.This is one of the key problems of fundamental fluid dynamics and applied aerodynamics of flight vehicles(FV)of new generation,including highly energy-conserving and ecological airplanes with natural and/or artificial laminarization,and supersonic airplanes with low sonic boom level.Algorithms and tools for application of the planned results will be developed.Focused on supersonic flow over an upswept wing with thin airfoil,a frequency-wave number range of unstable disturbances will be determined along with the most‘dangerous’type of disturbances.Our preliminary estimations have shown that vortical disturbances of inertial or Kolmogorov’s intervals of atmospheric turbulence are supposed to play the most important role in LTT process.If this is the case,the disturbance spectrum is of simple shape that depends only on two parameters:dissipation rate of turbulent energy and kinematic viscosity.As a result,this lets us model the external LTT-triggering disturbances with relatively simplicity under the conditions of supersonic flight.Such models will be developed and used to formulate boundary conditions for direct numerical simulation(DNS)of laminar-turbulent transition,including excitation,development and nonlinear breakdown of unstable disturbances up to occurrence of turbulent spots.A series of DNS computations with different values of dissipation rate of turbulent energy(inherent to calm,moderate and strong atmospheric turbulence)will allow to understand for the first time to what extent the laminar-turbulent transition depends on the weather conditions as well as the way to predict this dependence during the design of supersonic wing.All stages of LTT will be investigated,physical mechanisms of occurrence of turbulence will be determined.As consequence,this enables to increase the accuracy of computations of viscous friction and heat flux,to develop new laminarization systems and to reliably assess their efficiency.This confirms that the planned results are urgent and can be applied to economics and social issues.The formulated problems of the Project are novel or poorly studied both in Russia and abroad.Professionals with many years of experience in this scope of science are to solve them.The results of the Project are expected to correspond to the worldwide level and even exceed it.

Application Abstract: Annotation:Occurrence of turbulence is one of the key problems of fundamental fluid dynamics and applied aerodynamics of flight vehicles(FV)of new generation,including highly energy-conserving and ecological airplanes with natural and/or artificial laminarization,and supersonic airplanes with low sonic boom level.In spite of many years effort of scientific laboratories over the world,physical mechanisms behind the occurrence of turbulence in supersonic boundary layers are poorly studied.So far,there are no reliable methods to predict location of laminar-turbulent transition(LTT)regions as well as to compute coefficients of viscous friction and heat flux in such regions for elements of real supersonic FV.This,in turn,complicate the development of efficient laminarization systems.Urgency and relevance of the Project is connected to the need for ecological and highly energy-conserving transportation systems.External disturbances triggering the process of laminar-turbulent transition cannot be modeled in wind tunnels.Flight experiments are expensive and yield little information.Therefore,numerical simulations become more valuable for the problem in hand.The main tool to solve the tasks of the Project will be the method of direct numerical simulation(DNS)based on the solution of three-dimensional unsteady Navier-Stokes equations for a perfect gas.Simulation results will be compared with theoretical,numerical and wind tunnel data available.Focused on supersonic flow over an upswept wing with thin airfoil,linear stability computations will be performed and frequency-wave number range of unstable disturbances will be determined along with the most‘dangerous’type of disturbances.Vortical disturbances of inertial or Kolmogorov’s intervals of atmospheric turbulence are supposed to play the most important role in LTT process.Their spectrum is of simple shape.This lets us model the external LTT-triggering disturbances with relatively simplisity under the conditions of supersonic flight.Testing of this hypothesis is one of the main objectives of the Project.A series of DNS computations will help in determination to what extent the process of LTT depends on the parameters of atmospheric turbulence.All stages of LTT will be investigated,including nonlinear mechanisms of occurrence of turbulent spots.The dependence of such mechanisms on the external disturbance environment will also be determined.The preset Project will allow to answer the following questions of principal importance.Which mechanism of nonlinear breakdown leading to formation of turbulent spots dominates on the upswept wing with thin airfoil under the typical conditions of supersonic flight?To what extent does it depend on atmospheric disturbances?Which way should one model(or predict)this dependence for natural conditions in order to provide acceptable accuracy of computations of aerodynamic and heat characteristics of the wing under transitional flow regime?The formulated problems of the Project are novel or poorly studied both in Russia and abroad.Professionals with many years of experience in this scope of science are to solve them.The results of the Project are expected to correspond to the worldwide level and even exceed it.Expected results:The Project will help to obtain reliable physics-based results on laminar-turbulent transition(LTT)at supersonic speeds of flight.This is one of the key problems of fundamental fluid dynamics and applied aerodynamics of flight vehicles(FV)of new generation,including highly energy-conserving and ecological airplanes with natural and/or artificial laminarization,and supersonic airplanes with low sonic boom level.Algorithms and tools for application of the planned results will be developed.Focused on supersonic flow over an upswept wing with thin airfoil,a frequency-wave number range of unstable disturbances will be determined along with the most‘dangerous’type of disturbances.Our preliminary estimations have shown that vortical disturbances of inertial or Kolmogorov’s intervals of atmospheric turbulence are supposed to play the most important role in LTT process.If this is the case,the disturbance spectrum is of simple shape that depends only on two parameters:dissipation rate of turbulent energy and kinematic viscosity.As a result,this lets us model the external LTT-triggering disturbances with relatively simplicity under the conditions of supersonic flight.Such models will be developed and used to formulate boundary conditions for direct numerical simulation(DNS)of laminar-turbulent transition,including excitation,development and nonlinear breakdown of unstable disturbances up to occurrence of turbulent spots.A series of DNS computations with different values of dissipation rate of turbulent energy(inherent to calm,moderate and strong atmospheric turbulence)will allow to understand for the first time to what extent the laminar-turbulent transition depends on the weather conditions as well as the way to predict this dependence during the design of supersonic wing.All stages of LTT will be investigated,physical mechanisms of occurrence of turbulence will be determined.As consequence,this enables to increase the accuracy of computations of viscous friction and heat flux,to develop new laminarization systems and to reliably assess their efficiency.This confirms that the planned results are urgent and can be applied to economics and social issues.The formulated problems of the Project are novel or poorly studied both in Russia and abroad.Professionals with many years of experience in this scope of science are to solve them.The results of the Project are expected to correspond to the worldwide level and even exceed it.

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  • 1.Statistical model of laminar-turbulent transition onset caused by atmospheric particulates

    • 关键词:
    • boundary layer receptivity; boundary layer stability; transition toturbulence;SUPERSONIC BOUNDARY-LAYER; RECEPTIVITY; PARTICLES; STABILITY
    • Chuvakhov, Pavel V.;Fedorov, Alexander V.
    • 《JOURNAL OF FLUID MECHANICS》
    • 2025年
    • 1007卷
    • 期刊

    Within the frameworks of the amplitude method and the linear stability theory, a statistical model of the initial stage of laminar-turbulent transition caused by atmospheric particulates (aerosols) penetrating into the boundary layer is developed. The model accounts for the process of boundary layer receptivity to particulates, asymptotic behaviour of unstable wave packets propagating downstream from particle-wall collisions and the amplitude criterion for the transition onset. The resulting analytical relationships can be used for quick predictions of the transition onset on bodies of relatively simple shape, where the undisturbed boundary layer is quasi-two-dimensional. The model allows us to explore the transition onset at realistic distributions of the particle concentration selected based on an analysis of known empirical data. As an example, a 14 degrees half-angle sharp wedge flying in atmosphere at 20 km altitude and Mach number 4 is considered. It is shown that the transition onset corresponds to an N-factor of 15.3 for a flight under normal atmospheric conditions and 12.2 for a flight in a cloud after volcanic eruption. In accordance with physical restrictions, these values are below the upper limit $N\approx 16.8$ predicted for transition due to thermal fluctuations (perfectly 'clean' case). Nevertheless, they are significantly greater than $N=10$ which is commonly recommended for estimates of the transition onset in flight.

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  • 2.Stability of supersonic boundary layer over an unswept wing with a parabolic airfoil

    • 关键词:
    • Atmospheric thermodynamics;Laminar boundary layer;Numerical methods;Numerical models;Stability;Supersonic aircraft;Wings;Direct-numerical-simulation;Flight conditions;Laminar-turbulent transition;Linear stability theory;Lower noise;Parabolic airfoil;Parabolics;Passenger aircrafts;Supersonic boundary layer;Unsweep wing
    • Chuvakhov, P.V.;Ilyukhin, I.M.;Fedorov, A.V.
    • 《Theoretical and Computational Fluid Dynamics》
    • 2023年
    • 期刊

    Abstract: Under the low-noise Mach 3 flight conditions for a supersonic passenger aircraft having unswept wings with a thin parabolic airfoil, laminar-turbulent transition is due to amplification of the first mode. Stability of a local self-similar boundary layer over such a wing is investigated both using the eN method in the framework of linear stability theory and direct numerical simulation (DNS). It is found that the instability amplitude should reach a maximum over the entire spectral range above the profiles of 2.5% and thicker. The locus of maximum appears at the trailing edge and moves to the leading edge as the profile becomes thicker, while the maximum amplitude decreases. The theoretical findings are supported by DNS of the linear wave packets propagating in the boundary layer. Significance of these results to the design of laminar supersonic wings is discussed. Graphical abstract: [Figure not available: see fulltext.]. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

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  • 3.Shock-capturing anomaly in the interaction of unsteady disturbances with a stationary shock

    • 关键词:
    • ;Elementary waves;Flow condition;Grid cells;Shock-capturing;Shock-capturing method;Unsteady disturbance;Unsteady problems
    • Chuvakhov, Pavel V.
    • 《AIAA Journal》
    • 2021年
    • 59卷
    • 8期
    • 期刊

    Shock-capturing methods for numerical fluid dynamics are capable of correctly representing the flow conditions across shocks. However, there is no guarantee that the methods remain equally applicable for unsteady problems of shock–disturbance interaction. Based on the results of wide parametric computations, this paper demonstrates an inherent weakness of shock-capturing methods related to an ambiguous station of a stationary shock on a grid cell. To this end, the interaction of stationary shocks of different intensities with elementary waves of acoustic and nonacoustic nature is investigated in a simplified formulation. The computations reveal unpredictable postshock amplitudes of disturbances unless the viscous structure of the shock is sufficiently resolved. A shock resolution criterion and possible cures are suggested and discussed.
    © AIAA International. All rights reserved.

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