Download or read book Rarefied Gas Flow Simulation Based on Quasi Gas Dynamic Equations written by and published by . This book was released on 1994 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quasi Gas Dynamic Equations written by Tatiana G. Elizarova and published by Springer Science & Business Media. This book was released on 2009-06-12 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is devoted to modern mathematical models and numerical methods for solving gas- and ?uid-dynamic problems based on them. Two interconnected mathematical models generalizing the Navier–Stokes system are presented; they differ from the Navier–Stokes system by additional dissipative terms with a small parameter as a coef?cient. The new models are called the quasi-gas-dynamic and quasi-hydrodynamic equations. Based on these equations, effective ?nite-difference algorithms for calculating viscous nonstationary ?ows are constructed and examples of numerical computations are presented. The universality, the ef?ciency, and the exactness of the algorithms constructed are ensured by the ful?llment of integral conservation laws and the theorem on entropy balance for them. The book is a course of lectures and is intended for scientists and engineers who deal with constructing numerical algorithms and performing practical calculations of gas and ?uid ?ows and also for students and postgraduate students who specialize in numerical gas and ?uid dynamics.
Download or read book Rarefied Gas Dynamics written by Ching Shen and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aerodynamics is a science engaged in the investigation of the motion of air and other gases and their interaction with bodies, and is one of the most important bases of the aeronautic and astronautic techniques. The continuous improvement of the configurations of the airplanes and the space vehicles aid the constant enhancement of their performances are closely related with the development of the aerodynamics. In the design of new flying vehicles the aerodynamics will play more and more important role. The undertakings of aeronautics and astronautics in our country have gained achievements of world interest, the aerodynamics community has made outstanding contributions for the development of these undertakings and the science of aerodynamics. To promote further the development of the aerodynamics, meet the challenge in the new century, summary the experience, cultivate the professional personnel and to serve better the cause of aeronautics and astronautics and the national economy, the present Series of Modern Aerodynamics is organized and published.
Download or read book Molecular Gas Dynamics written by Yoshio Sone and published by Springer Science & Business Media. This book was released on 2007-10-16 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book is an up-to-date description of the basic theory of molecular gas dynamics and its various applications. The book, unique in the literature, presents working knowledge, theory, techniques, and typical phenomena in rarefied gases for theoretical development and application. Basic theory is developed in a systematic way and presented in a form easily applied for practical use. In this work, the ghost effect and non-Navier–Stokes effects are demonstrated for typical examples—Bénard and Taylor–Couette problems—in the context of a new framework. A new type of ghost effect is also discussed.
Download or read book Rarefied Gas Dynamics written by O.M. Belotserkovskii and published by Springer. This book was released on 1999-03-15 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Molecular Gas Dynamics written by Yoshio Sone and published by Birkhäuser. This book was released on 2006-12-12 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book is an up-to-date description of the basic theory of molecular gas dynamics and its various applications. The book, unique in the literature, presents working knowledge, theory, techniques, and typical phenomena in rarefied gases for theoretical development and application. Basic theory is developed in a systematic way and presented in a form easily applied for practical use. In this work, the ghost effect and non-Navier–Stokes effects are demonstrated for typical examples—Bénard and Taylor–Couette problems—in the context of a new framework. A new type of ghost effect is also discussed.
Download or read book Rarefied Gas Dynamics written by Bernie D. Shizgal and published by AIAA (American Institute of Aeronautics & Astronautics). This book was released on 1994 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of three volumes that contain revised version of papers presented at the July 1992 symposium. The present volume contains 64 papers in nine chapters: discrete velocity models; relaxation and rate processes; direct simulation Monte Carlo method methodology; direct simulation Monte Carlo reactions
Download or read book Numerical Simulation of Rarefied Gas Flow in Micro and Vacuum Devices written by Anirudh Singh Rana and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well established that non-equilibrium flows cannot properly be described by traditional hydrodynamics, namely, the Navier-Stokes-Fourier (NSF) equations. Such flows occur, for example, in micro-electro-mechanical systems (MEMS), and ultra vacuum systems, where the dimensions of the devices are comparable to the mean free path of a gas molecule. Therefore, the study of non-equilibrium effects in gas flows is extremely important. The general interest of the present study is to explore boundary value problems for moderately rarefied gas flows, with an emphasis on numerical solutions of the regularized 13--moment equations (R13). Boundary conditions for the moment equations are derived based on either phenomenological principles or on microscopic gas-surface scattering models, e.g., Maxwell's accommodation model and the isotropic scattering model.Using asymptotic analysis, several non-linear terms in the R13 equations are transformed into algebraic terms. The reduced equations allow us to obtain numerical solutions for multidimensional boundary value problems, with the same set of boundary conditions for the linearized and fully non-linear equations. Some basic flow configurations are employed to investigate steady and unsteady rarefaction effects in rarefied gas flows, namely, planar and cylindrical Couette flow, stationary heat transfer between two plates, unsteady and oscillatory Couette flow. A comparison with the corresponding results obtained previously by the DSMC method is performed. The influence of rarefaction effects in the lid driven cavity problem is investigated. Solutions obtained from several macroscopic models, in particular the classical NSF equations with jump and slip boundary conditions, and the R13--moment equations are compared. The R13 results compare well with those obtained from more costly solvers for rarefied gas dynamics, such as the Direct Simulation Monte Carlo (DSMC) method. Flow and heat transfer in a bottom heated square cavity in a moderately rarefied gas are investigated using the R13 and NSF equations. The results obtained are compared with those from the DSMC method with emphasis on understanding thermal flow characteristics from the slip flow to the early transition regime. The R13 theory gives satisfying results including flow patterns in fair agreement with DSMC in the transition regime, which the conventional Navier-Stokes-Fourier equations are not able to capture.
Download or read book Rarefied Gas Dynamics Proceedings written by and published by . This book was released on 1984 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rarefied Gas Dynamics written by John Harvey and published by Oxford University Press, USA. This book was released on 1995 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the International Symposium on Rarefied Gas Dynamics is the standard reference work in the subject, drawing contributions from the finest researchers throughout the world. Presenting recent advances in the field of low density gas dynamics, this multidisciplinary collection covers kinetic theory, transport processes, and non-equilibrium phenomena and gases. It will be invaluable for physicists, mathematicians, engineers, and chemists working in the field.
Download or read book Numerical Simulation of Rarefied Gas Flows Based on the Kinetic Approach written by Alexey Polikarpov and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is devoted to the development of the numerical resolution of the kinetic model equations such as BGK, S-model, ES-model by the discrete velocity method. The different approximations of the Boltzmann equation are presented.
Download or read book Rarefied Gas Dynamics written by J. A. Laurmann and published by . This book was released on 1963 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rarefied Gas Dynamics written by and published by . This book was released on 2009 with total page 1212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rarefied Gas Dynamics written by Manfred Becker and published by . This book was released on 1974 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rarefied Gas Dynamics written by Fernand Marcel Devienne and published by . This book was released on 1960 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rarefied Gas Dynamics written by J. Leith Potter and published by . This book was released on 1977 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Macroscopic Description of Rarefied Gas Flows in the Transition Regime written by and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The fast-paced growth in microelectromechanical systems (MEMS), microfluidic fabrication, porous media applications, biomedical assemblies, space propulsion, and vacuum technology demands accurate and practical transport equations for rarefied gas flows. It is well-known that in rarefied situations, due to strong deviations from the continuum regime, traditional fluid models such as Navier-Stokes-Fourier (NSF) fail. The shortcoming of continuum models is rooted in nonequilibrium behavior of gas particles in miniaturized and/or low-pressure devices, where the Knudsen number (Kn) is sufficiently large. Since kinetic solutions are computationally very expensive, there has been a great desire to develop macroscopic transport equations for dilute gas flows, and as a result, several sets of extended equations are proposed for gas flow in nonequilibrium states. However, applications of many of these extended equations are limited due to their instabilities and/or the absence of suitable boundary conditions. In this work, we concentrate on regularized 13-moment (R13) equations, which are a set of macroscopic transport equations for flows in the transition regime, i.e., Kn1. The R13 system provides a stable set of equations in Super-Burnett order, with a great potential to be a powerful CFD tool for rarefied flow simulations at moderate Knudsen numbers. The goal of this research is to implement the R13 equations for problems of practical interest in arbitrary geometries. This is done by transformation of the R13 equations and boundary conditions into general curvilinear coordinate systems. Next steps include adaptation of the transformed equations in order to solve some of the popular test cases, i.e., shear-driven, force-driven, and temperature-driven flows in both planar and curved flow passages. It is shown that inexpensive analytical solutions of the R13 equations for the considered problems are comparable to expensive numerical solutions of the Boltzmann equation. The n.
