Shock wave interaction with spherical particles: a particle-resolved numerical study of collective effects
Final Report Abstract
The interaction between shock waves and solid particles is at the core of a number of technologically relevant processes such as cold gas spray coating and shock-based drug delivery. At the same time fundamental questions related to the basic particulate flow problem are still poorly understood. As a consequence, engineering-type models are not yet capable of faithfully reproducing the relevant features of shocked fluid-particle systems. In this project we have worked towards filling the gap in the current state of the art by performing particle-resolved numerical simulations of planar shock waves sweeping over a curtain consisting of a large number of spherical particles. For this purpose we have developed an immersed boundary method for compressible flow, allowing the use of a simple fixed grid. We have carried out extensive validation tests including inviscid and viscous flow, spanning a range of Mach numbers from practically incompressible to supersonic flow, and gauging our predictions against the available reference data-sets. Our main results are for the transport coefficients at the fluid/particle interfaces (momentum, heat) during the transient phase and at statistical equilibrium. From our data we show that it is necessary to take into account the micro structure of the particulate phase (i.e. the local particle arrangement) in order to allow for a prediction of the large spread in those values. It turns out that this statement is relatively insensitive to a variation of the Mach number. Therefore, approaches developed for strictly incompressible flow (such as superposable wake models) can potentially be extended to the compressible regime.
Publications
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Towards numerical simulation of finite-sized moving particles in compressible flow. In ICMF 2023, 11th Int. Conf. Multiphase Flow, Kobe, Japan, 2023
S.K. Nayak & M. Uhlmann
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Numerical investigation of compressible flow through a curtain of fixed particles with an immersed boundary method. PhD Thesis, Karlsruhe Institute of Technology
S.K. Nayak
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Numerical study of shock-wave interaction with a fully-resolved cloud of immobile particles. High Performance Computing in Science and Engineering, 27th Results and Review Workshop of the HLRS, Karlsruhe, Germany, 2024
S.K. Nayak & M. Uhlmann
