Mathematical model of two-layer in pipe

2017

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DOI 10.1063/1.5000669
Data confidence 70 medium
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Abstract

The problem of stationary turbulent flow in an inclined pipe of two immiscible liquids is solving. The formulation and method of solving the problem are close to our previous works, but the flow is turbulent. At the phase surface (y = h, h is the depth of the lower layer of the liquid) axial velocity w, frictional stress and turbulent viscosity νt are assumed to be continuous, the densities ρi and molecular viscosities νi are different for i = 1 (y ≤ h) and for i = 2 (y ≥ h). The equations of momentum in each layer and the equation for turbulent viscosity are numerically solved.At moderate Reynolds numbers, the regimes were observed in the calculations when in a layer with a small volume fraction the flow became laminar with turbulent flow in the second layer.