Abstract.
The behavior of entropy across shock waves in dusty gases is calculated by using the Navier-Stokes equations for the gas phase and the particle phase. The resulting system of six nonlinear ordinary differential equations is reduced to a system of four autonomous nonlinear differential equations which are solved exactly. This solution is obtained formally by assuming that both the velocity and temperature of particles in the gasdynamic region are constant. A careful study of the equation that governs the entropy shows that the entropy profile has a maximum value within the shock region. It is also shown that the entropy is increasing continuously across the shock wave with increasing both the Mach number and the particle concentration.
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Received: January 13, 1997; revised: October 28, 1997
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Hamad, H. Behavior of entropy across shock waves in dusty gases. Z. angew. Math. Phys. 49, 827–837 (1998). https://doi.org/10.1007/s000330050123
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DOI: https://doi.org/10.1007/s000330050123