Topic
Rarefaction
About: Rarefaction is a research topic. Over the lifetime, 1852 publications have been published within this topic receiving 26943 citations.
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TL;DR: In this paper, the authors studied the equivalence of the 1-d Broadwell model of the nonlinear Boltzmann equation to its corresponding Euler equation of compressible gas dynamics in the limit of small mean free path.
10 citations
TL;DR: In this paper, the Riemann problem for two-dimensional isentropic Euler equations is considered and the initial data are three constants in three fan domains forming different angles.
Abstract: The Riemann problem for two-dimensional isentropic Euler equations is considered. The initial data are three constants in three fan domains forming different angles. Under the assumption that only a rarefaction wave, shock wave or contact discontinuity connects two neighboring constant initial states, it is proved that the cases involving three shock or rarefaction waves are impossible. For the cases involving one rarefaction (shock) wave and two shock (rarefaction) waves, only the combinations when the three elementary waves have the same sign are possible (impossible).
10 citations
10 citations
TL;DR: In this paper, a Chebyshev expansion approach is employed to solve the one dimensional compressible flow equations for flows with large gradients, and a technique for controlling oscillations is presented.
10 citations
TL;DR: In this paper, heat transfer in hydrodynamically developed, thermally developing gas flows in micro-slits at various flow conditions was studied. But the authors only considered the heat conduction in the axial direction and heat dissipation of viscous forces.
10 citations