The combined effect of density and velocity gradients on the Kelvin-Helmholtz instability through porous medium is investigated. The linear growth rate and frequency are obtained analytically. The behavior of both growth rate and frequency with respect to the variables of the problem are analyzed. The results show that the behavior of frequency is independent on both the viscosity and medium permeability, while the porosity of the medium has a destabilizing influence on frequency. The growth rate reduces in the presence of both viscosity and medium permeability, while it enhances in the presence of porosity of the medium.

中文翻译：

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通过多孔介质的密度和速度梯度对开尔文-亥姆霍兹不稳定性的影响

研究了密度和速度梯度对多孔介质开尔文-亥姆霍兹不稳定性的综合影响。线性增长率和频率是通过分析获得的。分析了相对于问题变量的增长率和频率的行为。结果表明，频率的行为与粘度和介质渗透率无关，而介质的孔隙率对频率有不稳定影响。在存在粘度和介质渗透率的情况下，增长率降低，而在介质孔隙率存在的情况下，增长率会提高。