The Rankine–Hugoniot conditions, also referred to as Rankine–Hugoniot jump conditions or Rankine–Hugoniot relations, describe the relationship between...

\mathbf {B} } . The jump conditions across a time-independent MHD shock or discontinuity are referred as the Rankine–Hugoniot equations for MHD. In the...

heat exits or enters the system) and no work is being done. The Rankine–Hugoniot conditions arise from these considerations. Taking into account the established...

across strong shock waves is finite as a direct consequence of Rankine–Hugoniot conditions. This approximation is equivalent to setting p 0 = 0 {\displaystyle...

by these explosions. Knudsen number Nuclear weapons testing Rankine–Hugoniot conditions Reed, Jack W. (1962). "Atmospheric Focusing of Sonic Booms"....

pressure-density relationship of a material known as the Rankine-Hugoniot conditions or simply the "Hugoniot". In recent years another time-resolved velocity...

h+v^{2}/2} is constant, which is also constant across the shock wave (Rankine–Hugoniot conditions) and therefore we can write v × ω = − T ∇ s {\displaystyle \mathbf...

Helmholtz resonance. 1887 – Pierre Henri Hugoniot based on the work of Rankine, introduces the Rankine–Hugoniot conditions to model shock waves. 1887 – First...

pressure ahead of the wave p 0 {\displaystyle p_{0}} . According to Rankine–Hugoniot conditions, for strong waves, although p 1 ≫ p 0 {\displaystyle p_{1}\gg...

-1}{2\gamma }}} The states after the shock are connected by the Rankine Hugoniot shock jump conditions. ρ 4 = ρ 5 P 4 + Γ P 5 P 5 + Γ P 4 {\displaystyle \rho _{4}=\rho...

flow quantities – density, velocity, pressure, entropy – using the Rankine–Hugoniot equations. Physical quantities are rarely discontinuous; in real flows...

shock polar is generally used with the graphical representation of the Rankine–Hugoniot equations in either the hodograph plane or the pressure ratio-flow...

approximation Range (particle radiation) Rangefinder Rankine cycle Rankine vortex Rankine–Hugoniot conditions Raoul Franklin Raoul Pictet Raoult's law Raphael...

after a normal shock must be subsonic. The Rankine-Hugoniot equations are used to solve for the flow conditions. Although one-dimensional flow can be directly...

downstream side where all gradients vanish, one recovers the familiar Rankine–Hugoniot conditions, ρ 1 u 1 = ρ 0 D {\displaystyle \rho _{1}u_{1}=\rho _{0}D} ,...

Chakrabarti at ICSP website". Chakrabarti, Sandip (December 1989). "Standing Rankine-Hugoniot shocks in the hybrid model flows of the black hole accretion and winds"...

waves, Taub introduced a relativistic generalization of the Rankine-Hugoniot jump conditions across a shock, which is now known as the Taub Adiabat. He...

descriptions as a fallback Leslie Howarth – British mathematician Pierre Henri Hugoniot – French military engineer (1851-1887)Pages displaying wikidata descriptions...

investigate the properties of the supersonic flow. Macquorn Rankine and Pierre Henri Hugoniot independently developed the theory for flow properties before...

(2000) (incl. S. H. Saar, Z. E. Musielak). A Generalized Version of the Rankine-Hugoniot Relations Including Ionization, Dissociation and Related Phenomena...