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- Rankine–Hugoniot_conditions abstract "The Rankine–Hugoniot conditions, also referred to as Rankine–Hugoniot jump conditions or Rankine–Hugoniot relations,describe the relationship between the states on both sides of a shock wave in a one-dimensional flow in fluids or a one-dimensional deformation in solids. They are named in recognition of the work carried out by Scottish engineer and physicist William John Macquorn Rankine and French engineer Pierre Henri Hugoniot. See also Salas (2006) for some historical background.In a coordinate system that is moving with the shock, the Rankine–Hugoniot conditions can be expressed as:where us is the shock wave speed, ρ1 and ρ2 are the mass density of the fluid behind and inside the shock, u2 is the particle velocity of the fluid inside the shock, p1 and p2 are the pressures in the two regions, and E1 and E2 are the internal energies per unit mass in the two regions. A schematic of the quantities used in the above equations is shown in the adjacent figure. These equations can be derived in a straightforward manner from equations (12), (13) and (14) below. Using the Rankine-Hugoniot equations for the conservation of mass and momentum to eliminate us and u2, the equation for the conservation of energy can be expressed in the more popular form:where v1 and v2 are the uncompressed and compressed specific volumes per unit mass, respectively.".
- Rankine–Hugoniot_conditions thumbnail One_dimensional_shock_plain.svg?width=300.
- Rankine–Hugoniot_conditions wikiPageID "397388".
- Rankine–Hugoniot_conditions wikiPageRevisionID "605290391".
- Rankine–Hugoniot_conditions subject Category:Continuum_mechanics.
- Rankine–Hugoniot_conditions subject Category:Equations_of_fluid_dynamics.
- Rankine–Hugoniot_conditions subject Category:Scottish_inventions.
- Rankine–Hugoniot_conditions comment "The Rankine–Hugoniot conditions, also referred to as Rankine–Hugoniot jump conditions or Rankine–Hugoniot relations,describe the relationship between the states on both sides of a shock wave in a one-dimensional flow in fluids or a one-dimensional deformation in solids. They are named in recognition of the work carried out by Scottish engineer and physicist William John Macquorn Rankine and French engineer Pierre Henri Hugoniot.".
- Rankine–Hugoniot_conditions label "Equazione di Rankine-Hugoniot".
- Rankine–Hugoniot_conditions label "Rankine-Hugoniot-Bedingung".
- Rankine–Hugoniot_conditions label "Rankine–Hugoniot conditions".
- Rankine–Hugoniot_conditions label "Équation de Rankine-Hugoniot".
- Rankine–Hugoniot_conditions label "Ударная адиабата".
- Rankine–Hugoniot_conditions label "ランキン・ユゴニオの式".
- Rankine–Hugoniot_conditions sameAs Rankine%E2%80%93Hugoniot_conditions.
- Rankine–Hugoniot_conditions sameAs Rankine-Hugoniot-Bedingung.
- Rankine–Hugoniot_conditions sameAs Équation_de_Rankine-Hugoniot.
- Rankine–Hugoniot_conditions sameAs Equazione_di_Rankine-Hugoniot.
- Rankine–Hugoniot_conditions sameAs ランキン・ユゴニオの式.
- Rankine–Hugoniot_conditions sameAs 랭킨-위고니오_방정식.
- Rankine–Hugoniot_conditions sameAs Q1192131.
- Rankine–Hugoniot_conditions sameAs Q1192131.
- Rankine–Hugoniot_conditions wasDerivedFrom Rankine–Hugoniot_conditions?oldid=605290391.
- Rankine–Hugoniot_conditions depiction One_dimensional_shock_plain.svg.