Shape of a shock wave front diffracting on a perforated wall

Abstract

 The shape of a shock wave front diffracting on a perforated wall is determined by comparing numerical data and experimental findings. Experiments were conducted in a 60 mm×150 mm cross sectional area shock tube equipped with a double-exposure holographic interferometer. The numerical simulation was conducted using a TVD upwind finite difference scheme. First, a discharge coefficient for the mass flow through the perforations was determined by comparing the numerical results with those obtained using a simplified quasi-one-dimensional analysis. This value agreed well with the experimentally obtained value. Finally, the shape of a backward inclined incident shock wave over a perforated wall was successfully determined by employing this discharge coefficient and the numerical result.