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Effect of Viscosity on the Structure of Shock Waves
Proceedings: Mathematical, Physical and Engineering Sciences
Vol. 452, No. 1953 (Oct. 8, 1996), pp. 2163-2172
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/52963
Page Count: 10
You can always find the topics here!Topics: Shock waves, Viscosity, Entropy, Velocity, Differential equations, Mathematics, Temperature dependence, Ideal gas, Conductive heat transfer, Direction fields
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The structure of one-dimensional shock waves is investigated using the Navier-Stokes equation for the gas phase. The resulting system of three ordinary nonlinear differential equations is reduced to a system of two autonomous nonlinear differential equations which are solved exactly. This solution is obtained formally by assuming that the viscosity is temperature dependent, and that the heat conductivity is neglected.
Proceedings: Mathematical, Physical and Engineering Sciences © 1996 Royal Society