Theory of viscosity of suspensions and solutions. Effect of small particle size
Vladimír Vand (1948)
Časopis pro pěstování matematiky a fysiky
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Displaying similar documents to “From classical mechanics to kinetic theory and fluid dynamics”
Theory of viscosity of suspensions and solutions. Effect of small particle size
Numerical solution of Stokes problem for free convection effects in dissipative dusty medium.
Venkataraman, V., Kannan, K. (2004)
International Journal of Mathematics and Mathematical Sciences
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On the practical applicability of Stokes' law of resistance and its modifications required in certain cases
Marian Smoluchowski (1927)
Pisma Mariana Smoluchowskiego
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A Langevin Description for Driven Granular Gases
P. Maynar, M. I. García de Soria (2011)
Mathematical Modelling of Natural Phenomena
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The study of the fluctuations in the steady state of a heated granular system is reviewed. A Boltzmann-Langevin description can be built requiring consistency with the equations for the one- and two-particle correlation functions. From the Boltzmann-Langevin equation, Langevin equations for the total energy and the transverse velocity field are derived. The existence of a fluctuation-dissipation relation for the transverse velocity field...
On heat transfer to pulsatile flow of a two-phase fluid.
Ghosh, A.K., Chakraborty, S.P. (2005)
International Journal of Mathematics and Mathematical Sciences
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The Boltzmann Equation: Mathematics and Applications
Carlo Cercignani (2007)
Bollettino dell'Unione Matematica Italiana
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The paper is subdivided into two parts. The first presents a recent result by the author concerning the existence of the solution of the Boltzmann equation for Maxwell molecules, without any cutoff in the collision kernel, when the solution depends on just one variable. At variance with the well-known theorem of DiPerna- Lions, conservation of energy is also shown to hold. The second part will concern rarefied gas dynamics problems, governed by the Boltzmann equation and con- cerning...
Computational fluctuating fluid dynamics
John B. Bell, Alejandro L. Garcia, Sarah A. Williams (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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This paper describes the extension of a recently developed numerical solver for the Landau-Lifshitz Navier-Stokes (LLNS) equations to binary mixtures in three dimensions. The LLNS equations incorporate thermal fluctuations into macroscopic hydrodynamics by using white-noise fluxes. These stochastic PDEs are more complicated in three dimensions due to the tensorial form of the correlations for the stochastic fluxes and in mixtures due to couplings of energy and concentration fluxes (, Soret...
On the one-dimensional Boltzmann equation for granular flows
Dario Benedetto, Mario Pulvirenti (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a Boltzmann equation for inelastic particles on the line and prove existence and uniqueness for the solutions.
Cosmic rays and particles of negative mass
Yakov P. Terletsky (1964)
Annales de l'I.H.P. Physique théorique
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The Hamilton Principle for Fluid Binary Mixtures with two Temperatures
Henri Gouin, Tommaso Ruggeri (2009)
Bollettino dell'Unione Matematica Italiana
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For binary mixtures of fluids without chemical reactions, but with components having different temperatures, the Hamilton principle of least action is able to produce the equation of motion for each component and a balance equation of the total heat exchange between components. In this nonconservative case, a Gibbs dynamical identity connecting the equations of momenta, masses, energy and heat exchange allows to deduce the balance equation of energy of the mixture. Due to the unknown...