Title: Computation of flow-induced stresses in a structure using a hybrid momentum equation approach

Authors: Jagadish Gattu, Hyungson Ki

Addresses: Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan 48824-1226, USA. ' School of Mechanical and Advanced Materials Engineering, Ulsan National Institute of Science and Technology, Ulsan, 689-798, South Korea

Abstract: In this paper, we present a method to formulate momentum equations for computing flow-induced stresses in a structure. The momentum equations for fluids and solids are cast into a common form, which when integrated over a computational cell generates a hybrid momentum equation customised to fluid-solid interface configurations. The resulting equation can be solved by a proper numerical method for computational fluid dynamics, such as the SIMPLE algorithm. This approach has been applied to Poiseuille flow between two parallel plates and lid-driven cavity flow in a solid container. Simulation results show a good agreement with the ABAQUS™ results.

Keywords: flow-induced stress; monolithic; finite volume method; hybrid momentum equations; fluid-solid interface; computational fluid dynamics; CFD; Poiseuille flow; two parallel plates; lid-driven cavity flow; solid containers; simulation.

DOI: 10.1504/IJTAMM.2009.029209

International Journal of Theoretical and Applied Multiscale Mechanics, 2009 Vol.1 No.2, pp.118 - 133

Published online: 10 Nov 2009 *

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