Numerical Study of Variable Density Flow Interaction with a Shock Wave

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ISBN 13 : 9781392153833
Total Pages : 169 pages
Book Rating : 4.1/5 (538 download)

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Book Synopsis Numerical Study of Variable Density Flow Interaction with a Shock Wave by : Yifeng Tian

Download or read book Numerical Study of Variable Density Flow Interaction with a Shock Wave written by Yifeng Tian and published by . This book was released on 2019 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental understanding and modeling of multi-fluid miscible Shock-Turbulence Interaction (STI) and the corresponding post-shock turbulence are critically important to many different applications, such as supersonic combustion, nuclear fusion, and astrophysics. This thesis presents a comprehensive study of the multi-fluid Shock-Turbulence flow using accurate flow-resolving, shock-capturing, and shock-resolving simulations. The objective is to develop a better understanding of underlying mechanisms of the variable density fluid effects on shock-turbulence interactions, post-shock turbulence evolution and mixing in high speed flows. Theoretical and numerical analyses of data confirm that all turbulence scales as well as the STI are well captured by the computational method, which is based on a high order hybrid monotonicity preserving-compact finite difference scheme. Linear Interaction Approximation (LIA) convergence tests are conducted to show that shock-capturing numerical simulations exhibit similar converging trend to LIA predictions as more demanding shock-resolving Direct Numerical Simulations (DNS) method. The effects of density variations on STI are studied first by comparing the "Eulerian" results obtained from both Eulerian (grid) and Lagrangian (particle) data for a multi-fluid mixture with the corresponding single-fluid results. The comparison shows that the turbulence amplification by the normal shock wave is much higher and the reduction in turbulence length scales is more significant when strong density variations are present. Turbulent mixing enhancement by the shock is also increased and stronger mixing asymmetry in the post-shock region is observed when there are significant density variations. The dominating mechanisms behind STI influence on post-shock turbulence and mixing are identified by analyzing the transport equations for the Reynolds stresses, vorticity, normalized mass flux, and density specific volume covariance. Statistical analyses of the velocity gradient tensor (VGT) show that the density variations also significantly change the turbulence structure and flow topology. Compared to the single-fluid case, the correlation between rotation and strain is found to be weaker in the multi-fluid case, which is shown to be the result of complex role density plays when the flow passes through the shock. Furthermore, a stronger symmetrization of the joint PDF of second and third invariants of the anisotropic velocity gradient tensor, as well as the PDF of the vortex stretching contribution to the enstrophy equation, are observed in the multi-fluid case. Lagrangian dynamics of the VGT and its invariants are studied by considering particle residence times in different flow regions and the conditional mean rate of change vectors. The pressure Hessian contributions to the VGT invariants transport equations are shown to be strongly affected by the shock wave and local density, making them critically important to the flow dynamics and turbulence structure. Lagrangian statistics of non-inertial particles in post-shock turbulence show that the single-particle dispersion rate and anisotropy can be correlated to the development of post-shock Reynolds stress. The particle dispersion in the streamwise direction is found to be non-Gaussian, with the skewness of the dispersion PDF dependent on the density variations. Lagrangian integral time scales of fluid particles with different densities are obtained from velocity autocorrelation functions. Particle pair dispersion generally follows the temporal scaling for isotropic turbulence. In this thesis, the propagation of shock waves in non-uniform density media is also studied. Theoretical analyses show that in both linear and nonlinear regime, there are similarities in shock propagation in non-uniform density fields generated by fluctuations in entropy and compositional fields. The 1D numerical results are shown to agree well with theoretical solutions obtained from classical Chisnell-Whitham theory for weak shocks and linearly varying density fields. For more significantly varying density profiles, the numerical results deviate from the theoretical solutions and exhibit additional long-wavelength oscillations, which are shown to be related to the re-reflected waves. A simplified model (named CWRW) that includes the effects of re-reflected waves is proposed to compensate for the CW model definitions. The results obtained by the proposed CWRW model show significant improvement over the classical CW model. The three-dimensional (3D) effects concerning the shock propagation in 3D non-uniform density media are studied by considering the wavenumber ratio of the streamwise and spanwise length scales in the density field. The asymptotic limits for wavelength ratio approaching zero and infinity are investigated and used to provide a bound for shock propagation in 3D non-uniform media.

Numerical Simulation of Low-Density Shock-Wave Interactions

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ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Numerical Simulation of Low-Density Shock-Wave Interactions by : Christopher E. Glass

Download or read book Numerical Simulation of Low-Density Shock-Wave Interactions written by Christopher E. Glass and published by . This book was released on 1999 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: CFD numerical simulations of low-density shock-wave interactions for an incident shock impinging on a cylinder have been performed. Flow-field density gradient and surface pressure and heating define the type of interference pattern and corresponding perturbations. The maximum pressure and heat transfer level and location of various interaction types are presented. A time-accurate solution of the Type IV interference is employed to demonstrate the establishment and the steadiness of the low-density flow interaction.

Numerical Simulation of Low-Density Shock-Wave Interactions

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781721185726
Total Pages : 36 pages
Book Rating : 4.1/5 (857 download)

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Book Synopsis Numerical Simulation of Low-Density Shock-Wave Interactions by : National Aeronautics and Space Administration (NASA)

Download or read book Numerical Simulation of Low-Density Shock-Wave Interactions written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-15 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Dynamics (CFD) numerical simulations of low-density shock-wave interactions for an incident shock impinging on a cylinder have been performed. Flow-field density gradient and surface pressure and heating define the type of interference pattern and corresponding perturbations. The maximum pressure and heat transfer level and location for various interaction types (i.e., shock-wave incidence with respect to the cylinder) are presented. A time-accurate solution of the Type IV interference is employed to demonstrate the establishment and the steadiness of the low-density flow interaction. Glass, Christopher E. Langley Research Center NASA/TM-1999-209358, NAS 1.15:209358, L-17878

Numerical Simulation of Low-density Shock-wave Interactions

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ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (858 download)

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Book Synopsis Numerical Simulation of Low-density Shock-wave Interactions by : Christopher Earl Glass

Download or read book Numerical Simulation of Low-density Shock-wave Interactions written by Christopher Earl Glass and published by . This book was released on 1999 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: CFD numerical simulations of low-density shock-wave interactions for an incident shock impinging on a cylinder have been performed. Flow-field density gradient and surface pressure and heating define the type of interference pattern and corresponding perturbations. The maximum pressure and heat transfer level and location of various interaction types are presented. A time-accurate solution of the Type IV interference is employed to demonstrate the establishment and the steadiness of the low-density flow interaction.

Shock Wave-Boundary-Layer Interactions

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Publisher : Cambridge University Press
ISBN 13 : 1139498649
Total Pages : 481 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Shock Wave-Boundary-Layer Interactions by : Holger Babinsky

Download or read book Shock Wave-Boundary-Layer Interactions written by Holger Babinsky and published by Cambridge University Press. This book was released on 2011-09-12 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shock wave-boundary-layer interaction (SBLI) is a fundamental phenomenon in gas dynamics that is observed in many practical situations, ranging from transonic aircraft wings to hypersonic vehicles and engines. SBLIs have the potential to pose serious problems in a flowfield; hence they often prove to be a critical - or even design limiting - issue for many aerospace applications. This is the first book devoted solely to a comprehensive, state-of-the-art explanation of this phenomenon. It includes a description of the basic fluid mechanics of SBLIs plus contributions from leading international experts who share their insight into their physics and the impact they have in practical flow situations. This book is for practitioners and graduate students in aerodynamics who wish to familiarize themselves with all aspects of SBLI flows. It is a valuable resource for specialists because it compiles experimental, computational and theoretical knowledge in one place.

Numerical Simulation of Viscous Shock Layer Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 9401584907
Total Pages : 359 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Numerical Simulation of Viscous Shock Layer Flows by : Y.P. Golovachov

Download or read book Numerical Simulation of Viscous Shock Layer Flows written by Y.P. Golovachov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is concerned with mathematical modelling of supersonic and hyper sonic flows about bodies. Permanent interest in this topic is stimulated, first of all, by aviation and aerospace engineering. The designing of aircraft and space vehicles requires a more precise prediction of the aerodynamic and heat transfer characteristics. Together with broadening of the flight condition range, this makes it necessary to take into account a number of gas dynamic and physical effects caused by rarefaction, viscous-inviscid interaction, separation, various physical and chemical processes induced by gas heating in the intensive bow shock wave. The flow field around a body moving at supersonic speed can be divided into three parts, namely, shock layer, near wake including base flow, and far wake. The shock layer flow is bounded by the bow shock wave and the front and lat eral parts of the body surface. A conventional approach to calculation of shock layer flows consists in a successive solution of the inviscid gas and boundary layer equations. When the afore-mentioned effects become important, implementation of these models meets difficulties or even becomes impossible. In this case, one has to use a more general approach based on the viscous shock layer concept.

Transition Location Effect on Shock Wave Boundary Layer Interaction

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Publisher : Springer Nature
ISBN 13 : 3030474615
Total Pages : 540 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Transition Location Effect on Shock Wave Boundary Layer Interaction by : Piotr Doerffer

Download or read book Transition Location Effect on Shock Wave Boundary Layer Interaction written by Piotr Doerffer and published by Springer Nature. This book was released on 2020-07-30 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents experimental and numerical findings on reducing shock-induced separation by applying transition upstream the shock wave. The purpose is to find out how close to the shock wave the transition should be located in order to obtain favorable turbulent boundary layer interaction. The book shares findings obtained using advanced flow measurement methods and concerning e.g. the transition location, boundary layer characteristics, and the detection of shock wave configurations. It includes a number of experimental case studies and CFD simulations that offer valuable insights into the flow structure. It covers RANS/URANS methods for the experimental test section design, as well as more advanced techniques, such as LES, hybrid methods and DNS for studying the transition and shock wave interaction in detail. The experimental and numerical investigations presented here were conducted by sixteen different partners in the context of the TFAST Project. The general focus is on determining if and how it is possible to improve flow performance in comparison to laminar interaction. The book mainly addresses academics and professionals whose work involves the aerodynamics of internal and external flows, as well as experimentalists working with compressible flows. It will also be of benefit for CFD developers and users, and for students of aviation and propulsion systems alike.

Numerical Investigation of Turbulence and Mixing in Shock-accelerated Compressible Multi-component Flows

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Numerical Investigation of Turbulence and Mixing in Shock-accelerated Compressible Multi-component Flows by : Santhosh Kumar Shankar

Download or read book Numerical Investigation of Turbulence and Mixing in Shock-accelerated Compressible Multi-component Flows written by Santhosh Kumar Shankar and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of Richtmyer-Meshkov instability is numerically studied in canonical configuration. The discontinuities in the flow field (such as shock waves, contact surfaces and material interfaces) are captured by using a shock-capturing method coupled with a high-order high-resolution compact differencing scheme. Verification and validation is conducted by simulating 1-D and 2-D canonical test problems and comparing the numerical results with experimental data and previous numerical results. High resolution numerical simulation of the impulsive acceleration of a dense gas curtain in air by a Mach 1.21 planar shock (modeling the experiments by Balakumar et al. PoF 2008) is carried out by solving the 3-D compressible multi-species Navier-Stokes equation coupled with a localized artificial diffusivity method to capture discontinuities in the flow-field. The simulations account for the presence of three species in the flow-field: air, SF6 and acetone (used as a tracer species in the experiments). The reshock process is studied by re-impacting the evolving curtain with a reflected shock wave. Turbulence statistics computed in the flow-field following reshock are reported and compared with experiment where possible. Inertial range scaling, vorticity anisotropy and Reynolds stress development are studied in the reshocked flow. The high resolution data set is used to test certain modeling assumptions appearing in mixing models (BHR model) that have been traditionally used to study variable density flows. Finally preliminary results are shown from a 3-dimensional calculation of a planar shock interacting with a planar perturbed interface between air and SF6.

Numerical Study of Interaction of a Vortical Density Inhomogeneity with Shock and Expansion Waves

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ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Numerical Study of Interaction of a Vortical Density Inhomogeneity with Shock and Expansion Waves by : P. Povitsky

Download or read book Numerical Study of Interaction of a Vortical Density Inhomogeneity with Shock and Expansion Waves written by P. Povitsky and published by . This book was released on 1998 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Simple Shock Waves in Air

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Publisher : Springer Nature
ISBN 13 : 3030636062
Total Pages : 356 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Introduction to Simple Shock Waves in Air by : Seán Prunty

Download or read book Introduction to Simple Shock Waves in Air written by Seán Prunty and published by Springer Nature. This book was released on 2021-01-22 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an elementary introduction to one-dimensional fluid flow problems involving shock waves in air. The differential equations of fluid flow are approximated by finite difference equations and these in turn are numerically integrated in a stepwise manner, with artificial viscosity introduced into the numerical calculations in order to deal with shocks. This treatment of the subject is focused on the finite-difference approach to solve the coupled differential equations of fluid flow and presents the results arising from the numerical solution using Mathcad programming. Both plane and spherical shock waves are discussed with particular emphasis on very strong explosive shocks in air. This expanded second edition features substantial new material on sound wave parameters, Riemann's method for numerical integration of the equations of motion, approximate analytical expressions for weak shock waves, short duration piston motion, numerical results for shock wave interactions, and new appendices on the piston withdrawal problem and numerical results for a closed shock tube. This text will appeal to students, researchers, and professionals in shock wave research and related fields. Students in particular will appreciate the benefits of numerical methods in fluid mechanics and the level of presentation.

Modeling and Simulation of Turbulent Mixing and Reaction

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Publisher : Springer Nature
ISBN 13 : 9811526435
Total Pages : 273 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Modeling and Simulation of Turbulent Mixing and Reaction by : Daniel Livescu

Download or read book Modeling and Simulation of Turbulent Mixing and Reaction written by Daniel Livescu and published by Springer Nature. This book was released on 2020-02-19 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights recent research advances in the area of turbulent flows from both industry and academia for applications in the area of Aerospace and Mechanical engineering. Contributions include modeling, simulations and experiments meant for researchers, professionals and students in the area.

A Numerical Solution for the Interaction of a Moving Shock Wave with a Turbulent Mixing Region

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ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Numerical Solution for the Interaction of a Moving Shock Wave with a Turbulent Mixing Region by : William Fred Walker

Download or read book A Numerical Solution for the Interaction of a Moving Shock Wave with a Turbulent Mixing Region written by William Fred Walker and published by . This book was released on 1966 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Simulation of a Turbulent Flow Through a Shock Wave

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ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Numerical Simulation of a Turbulent Flow Through a Shock Wave by : David Nixon

Download or read book Numerical Simulation of a Turbulent Flow Through a Shock Wave written by David Nixon and published by . This book was released on 1989 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report describes the results of research into the interactions between shock waves and turbulent flows using numerical simulations. The research was conducted at transonic speeds with a normal shock wave and two dimensional turbulence, making use of existing knowledge and computational methods for developing insight to the shock/turbulence interaction. The results indicate that the shock has a significant effect on the turbulence. The shock produces a jump in the turbulence statistics, with a long relaxation distance to return to unshocked values. The turbulence kinetic energy is increased by as much as 30 percent by the shock. The density-velocity correlation becomes important during the shock jump and is greatly increased over the case without a shock. On the other hand, the pressure-velocity correlation is not so important. The shock speed and ripple were found to be important factors in determining the turbulence downstream of a shock wave. Shock speed and ripple correlations are the same size as other important turbulence correlations. The work must be extended to higher Mach numbers and three-dimensional turbulence, with oblique shocks and shear flows. The shock ripple may be more important for oblique shocks because of the larger v component. (jhd).

Variable Density Fluid Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 9401700753
Total Pages : 387 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Variable Density Fluid Turbulence by : P. Chassaing

Download or read book Variable Density Fluid Turbulence written by P. Chassaing and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part aims at providing the physical and theoretical framework of the analysis of density variations in fully turbulent flows. Its scope is deliberately educational. In the second part, basic data on dynamical and scalar properties of variable density turbulent flows are presented and discussed, based on experimental data and/or results from direct numerical simulations. This part is rather concerned with a research audience. The last part is more directly devoted to an engineering audience and deals with prediction methods for turbulent flows of variable density fluid. Both first and second order, single point modeling are discussed, with special emphasis on the capability to include specific variable density / compressibility effects.

Numerical Simulations and Analyses of Shock Wave-boundary Layer Interactions

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ISBN 13 : 9781303506222
Total Pages : 166 pages
Book Rating : 4.5/5 (62 download)

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Book Synopsis Numerical Simulations and Analyses of Shock Wave-boundary Layer Interactions by : Avinash Jammalamadaka

Download or read book Numerical Simulations and Analyses of Shock Wave-boundary Layer Interactions written by Avinash Jammalamadaka and published by . This book was released on 2013 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shock-boundary layer interaction (SBLI) is becoming one of the benchmark problems in the high-speed flow modeling and simulation community. The interaction of shock wave with the boundary layer is a very complex phenomenon that requires high-fidelity numerical methods like direct numerical simulation (DNS) and large-eddy simulation (LES) to capture the flow physics. In this study, SBLI is examined for various flow conditions using DNS and LES. -- Abstract.

Shock Wave Interactions

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Publisher : Springer
ISBN 13 : 3319731807
Total Pages : 408 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Shock Wave Interactions by : Konstantinos Kontis

Download or read book Shock Wave Interactions written by Konstantinos Kontis and published by Springer. This book was released on 2018-03-28 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited monograph contains the proceedings of the International Shock Interaction Symposium, which emerged as an heir to both the Mach Reflection and Shock Vortex Interaction Symposia. These scientific biannual meetings provide an ideal platform to expose new developments and discuss recent challenges in the field of shock wave interaction phenomena. The goal of the symposia is to offer a forum for international interaction between young and established scientists in the field of shock and blast wave interaction phenomena. The target audience of this book comprises primarily researchers and experts in the field of shock waves, but the book may also be beneficial for young scientists and graduate students alike.

Studies of Shock Wave Interactions with Homogeneous and Isotropic Turbulence

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ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Studies of Shock Wave Interactions with Homogeneous and Isotropic Turbulence by : G. Briassulis

Download or read book Studies of Shock Wave Interactions with Homogeneous and Isotropic Turbulence written by G. Briassulis and published by . This book was released on 1998 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: