Small Oscillations of Two-Layer Liquid in View Permeability of Separator

The small symmetric oscillations of an ideal liquid in hard cylindrical vessel with permeable partition is considered. Approximate analytical solutions of this task is obtained. The principal assumptions: the fluid motion is relied as gravitational with the potential of velocities Φ = Φ (x, r, t), resistance separator is defined linearly dependent on the particle velocity of the fluid with constant coefficient γ. The impact of the permeable partition separating the liquid column inside the tank into two layers have been taken into account as a linearly viscous drag with a given resistance coefficient γ specified as a parameter. In further researches it is suggested that value should be determined based on the model experiment using excited the liquid oscillations in the tank. It has been established that if γ = 0 on the free surface there are no oscillations at ρ₁ = ρ₂ = ρ and these oscillations are possible at ρ₁ ≠ ρ₂. In the case of accounting the gravitational acceleration g on the free liquid surface in the tank then the fluid motion are damped oscillations with some attenuation coefficient n.

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