Transient and Static Comparison of High Speed Flow Against Open Channel Flow Through the Hydraulic Analogy

摘要

In the combustion chamber of a jet engine, the turbulent interactions of mixed fuel droplets with compressed flow is extremely complex. With today's technology, Computational Fluid Dynamics (CFD) can not fully capture the interactions of droplet-laden flow in a shockwave-dominant region. The timescales involved for the flow within a jet engine are small which further contribute to model complexity.;By utilizing the hydraulic analogy, high speed flow at a given Mach number can be directly related to shallow water flow with a matching Froude number. A shallow water table is constructed to validate the hydraulic analogy. Using commercial CFD software Fluent, the experimental flow over wedge apex angles 10°, 20°, 30°, 45°, and 60° is compared to a shallow water simulation and high speed flow simulation. The shallow water table is equipped with a camera capable of filming a transient positive surge wave. The experimental data is used to drive the transient flow simulations for shallow water flow and high speed flow. Schardin's problem is qualitatively examined for a shock Mach number of 1.90, which is directly compared to a positive surge wave on a 60 wedge. The pressure contours of the transient simulations are compared and found to be in excellent agreement.;The transient and static simulations show promise and set the stage for future investigations with particle-laden flow.