The effects of viscosity on the structure of shock waves in a van der Waals gas

Raj Kumar Anand, Sewa Singh
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Abstract

The structure of viscous shock-front has been investigated in a van der Waals gas between the boundary conditions for x = −ε and x = +ε considering the flow of a gas to be viscous and one-dimensional. The exact solutions for the flow parameters, fluid velocity, pressure, temperature, and change-in-entropy in the shock transition region have been found in view of the equation of state for van der Waals gases. The effects due to the coefficient of viscosity, shock strength, and nonidealness parameter have been analyzed on the structure and flow variable in the shock transition region. The results confirm that the thickness of shock-front increases with increasing value of the coefficient of viscosity and decreases with increasing value of the shock strength and nonidealness parameter of the gases.
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粘度对范德华气体中冲击波结构的影响
考虑到气体的流动是粘性和一维的,研究了范德华气体在 x = -ε 和 x = +ε 边界条件之间的粘性冲击前沿结构。根据范德华气体的状态方程,找到了冲击过渡区域的流动参数、流体速度、压力、温度和熵变的精确解。分析了粘度系数、冲击强度和非理想参数对冲击过渡区结构和流动变量的影响。结果证实,冲击前沿的厚度随气体粘度系数的增大而增大,随冲击强度和非理想参数的增大而减小。
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