Abstract
Simulations of supersonic turbulent flow over an open rectangular cavity are performed to observe the effects of length to depth ratio (L/D) of the cavity on the flow structure. Two-dimensional compressible time-dependent Reynolds-averaged Navier-Stokes equations with k-ω turbulence model are solved. A reduced order modeling approach, Proper Orthogonal Decomposition (POD) method, is used to further analyze the flow. Results are obtained for cavities with several L/D ratios at a Mach number of 1.5. Mostly, sound pressure levels (SPL) are used for comparison. After a reduced order modeling approach, the number of modes necessary to represent the systems is observed for each case. The necessary minimum number of modes to define the system increases as the flow becomes more complex with the increase in the L/D ratio. This study provides a basis for the control of flow over supersonic open cavities by providing a reduced order model for flow control, and it also gives an insight to cavity flow physics by comparing several simulation results with different length to depth ratios.
Highlights
In several flow applications, especially for aerospace industry, unsteady, turbulent, and complex flow phenomenon becomes an important part of processes
This study provides a basis for the control of flow over supersonic open cavities by providing a reduced order model for flow control, and it gives an insight to cavity flow physics by comparing several simulation results with different length to depth ratios
When the flow is in the shallow cavity and length to depth ratio (L/D) ratio is greater than 13, it is called closed cavity, whereas if the flow is in deep cavity and L/D ratio is smaller than 10, it is called open cavity configuration as discussed by Aradag [1]
Summary
Especially for aerospace industry, unsteady, turbulent, and complex flow phenomenon becomes an important part of processes. As high speed flows pass over cavities, a complex and unsteady flow field emerges in the cavity region. These flow fields lead to pressure fluctuations and relatively high sound pressure levels. Due to the complexity of the flow mechanism in different cavity configurations, cavity flows are categorized based on mainly geometric specifications (L/D ratio, L/W ratio), cavity flow phenomena, and Mach number as discussed by Syed [2]. Due to the shear layer formation, flows inside and outside the cavity are separated. In closed cavity, after the separation of the shear layer, due to containing inadequate energy to pass the cavity, it impinges to cavity base separates from the base and reattaches at the stagnation point at the trailing edge (Aradag [1]; Lawson and Barakos [3]).
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