Second kind integral equation formulation of Stokes` flow past a particle with piecewise twice differentiable boundary with corners (theory)

Conference · Fri Nov 01 04:00:00 EST 1996

OSTI ID:382826

Javadpour, S H ^[1]; Farrahi, R M ^[2]; Ahmadi, A R ^[3]

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1. Louisiana State Univ., Baton Rouge, LA (United States). Mechanical Engineering Dept.
2. Shahid Bahonar Univ., Kerman (Iran, Islamic Republic of). Dept. of Physics
3. Computational Research and Software Inc., Lawrence, KS (United States)

The authors consider the slow flow of a viscous fluid past a single solid particle with piecewise twice differentiable boundary with corners. The problem is formulated as a system of linear Fredholm integral equations of the second kind of double layer density functions. They determine the existence and uniqueness of the solution of those integral equations, and they present numerical examples with a constructive method for solving weakly singular integral equations. They have also chosen solid flat, hexagonal particles of varying thickness disturbing slow speed flow of a fluid with Newtonian behavior. They present some effect on the auxiliary perturbed fluid velocity behavior resulted past the particles.

• OSTI ID: 382826
• Report Number(s): CONF-960154--; ISBN 0-9648731-8-4
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS
BOUNDARY-VALUE PROBLEMS
FREDHOLM EQUATION
INTEGRAL EQUATIONS
NUMERICAL SOLUTION
STOKES LAW
SUSPENSIONS
TWO-PHASE FLOW
VISCOUS FLOW