Work

Generalized fundamental solutions for unsteady viscous flows

Year: 2001

Type: article

Abstract: A number of closed-form fundamental solutions for generalized unsteady Oseen and Stokes flows associated with arbitrary time-dependent translational and rotational motions have been developed. These solutions are decomposed into two parts corresponding to a longitudinal wave and a transversal wave. As examples of application, the hydrodynamic forces acting on a sphere and on a circular cylinder translating in an unsteady rotating flow field at low Reynolds numbers are calculated using the generalized fundamental solutions.

Source: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

DOI: 10.1103/physreve.63.051201

Authors: Jian-Jun Shu, Allen T. Chwang

Institution: University of Hong Kong

Language: English

Topic: Fluid dynamics and aerodynamics studies

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, University of Hong Kong

OpenAlex ID: W2160391587

FWCI: 1.403

Cites: 28

Cited by: 27

Related to: 10