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Similarity solution for magnetogasdynamic shock wave in a perfectly conducting dusty gas with axial or azimuthal magnetic field in rotating medium under the influence of radiative and conductive heat fluxes
Acta Astronautica ( IF 3.1 ) Pub Date : 2021-01-23 , DOI: 10.1016/j.actaastro.2021.01.029
G. Nath

The effect of magnetic field, the ratio of the density of solid particles to the initial density of the gas, non-idealness of the gas, mass concentration of micro size solid particles, adiabatic exponent, and the heat transfer parameters effect on one-dimensional shock wave propagation in a dusty gas with conductive and radiative heat fluxes in the presence of azimuthal or axial magnetic field in rotating medium have been investigated for cylindrical geometry. By using the similarity method a system of ordinary differential equations are derived from the system of governing equations of motion. The dusty gas is taken to be perfectly conducting mixture of non-ideal gas and small inert solid particles of micro size, in which solid particles are continuously distributed. It is understood that variable energy input is constantly supplied by the moving piston and the equilibrium flow conditions are maintained in the whole flow-field region. The results of numerical integration for the system of ordinary differential equations show that the magnetic field, mass concentration of solid particles, the ratio of the solid particles density to the gas initial density, non-idealness of the gas, adiabatic exponent and the heat transfer parameters have strong influence on the shock wave and on the flow variables. It is found that the presence of magnetic field, an increase in conductive and radiative heat transfer parameters and non-idealness of the gas have decaying effect on the shock wave; whereas the ratio of the solid particles density to the gas initial density or the adiabatic exponent have effect to increase the shock strength.



中文翻译:

辐射和传导热通量影响下,在旋转介质中具有轴向或方位磁场的完美传导尘埃气体中的磁动力冲击波的相似解

磁场,固体颗粒密度与气体初始密度之比,气体的非理想性,微小尺寸固体颗粒的质量浓度,绝热指数以及传热参数对一维的影响对于圆柱几何形状,已经研究了在旋转介质中存在方位角或轴向磁场的情况下,在具有导电和辐射热通量的含尘气体中冲击波的传播。通过使用相似性方法,从运动的控制方程组中导出了常微分方程组。粉尘气体被认为是非理想气体与微小惰性惰性固体颗粒(其中固体颗粒连续分布)的完美传导混合物。可以理解,可变的能量输入由运动的活塞恒定地提供,并且在整个流场区域中保持平衡的流动状态。对常微分方程组进行数值积分的结果表明,磁场,固体颗粒的质量浓度,固体颗粒密度与气体初始密度之比,气体的非理想性,绝热指数和传热参数对冲击波和流量变量有很大的影响。研究发现,磁场的存在,传导和辐射传热参数的增加以及气体的不理想都会对冲击波产生衰减作用。

更新日期:2021-01-24
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