Dispersion of a cloud of particles by a moving shock: Effects of the shape, angle of rotation, and aspect ratio

• Published in: Journal of applied mechanics and technical physics 2013-11, Vol.54 (6), p.900-912
• Main Authors: Davis, S. L., Dittmann, T. B., Jacobs, G. B., Don, W. S.
• Format: Article
• Language: English
• Subjects: Applications of Mathematics; Aspect ratio; Classical and Continuum Physics; Classical Mechanics; Convection; Dispersions; Finite difference method; Fluid- and Aerodynamics; Frames; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mechanical Engineering; Physics; Physics and Astronomy; Solvers; Unity
• ISSN: 0021-8944; 1573-8620
• DOI: 10.1134/S0021894413060059

This paper discusses the particle-laden flow development from a cloud of particles in an accelerated flow behind a normal moving shock. The effects of the aspect ratio of a rectangular and ellipsoidal cloud and the cloud’s angle of attack with respect to the carrier flow are studied. Computations are performed with an in-house high-order weighted essentially non-oscillatory (WENO-Z) finite-difference scheme-based Eulerian-Lagrangian solver that solves the conservation equations in the Eulerian frame, while particles are traced in the Lagrangian frame. Streamlined elliptically shaped clouds exhibit a lower dispersion than blunt rectangular clouds. The averaged and root-mean-square locations of the particle coordinates in the cloud show that the cloud’s streamwise convection velocity increases with decreasing aspect ratio. With increasing rotation angle, the cross-stream dispersion increases if the aspect ratio is larger than unity. The particle-laden flow development of an initially moderately rotated rectangle is qualitatively and quantitatively comparable to the dispersion of an initially triangular cloud.