Numerical investigation of unsteady viscous incompressible flow about bodies for varying conditions of their motion
Abstract
Numerical solutions are presented for unsteady, viscous incompressible flows due to impulsive and gradual variations in the velocity of a body; using as examples flow about a cylinder, a sphere, and ellipsoids. Among the conditions considered are: (1) flow past an abruptly stated body; (2) sudden impulsive acceleration of the body which was previously moving steadily; (3) a start with finite acceleration; (4) gradual acceleration of a body that had been moving steadily; and (5) gradual deceleration of a body to a full stop. Consideration of the impulsive conditions of velocity variations is carried out using the transformation of the stream function, the vorticity, and independent variables to eliminate vorticity surface singularities. By dividing the computation region into two subregions, followed by numerical solution matching, the new vortex layer adjacent to the body surface may be studied.
 Publication:

Approximation Methods for NavierStokes Problems
 Pub Date:
 1980
 Bibcode:
 1980appm.proc..323K
 Keywords:

 Computational Fluid Dynamics;
 Flow Velocity;
 Incompressible Flow;
 Unsteady Flow;
 Viscous Flow;
 Acceleration (Physics);
 Cylindrical Bodies;
 Ellipsoids;
 Independent Variables;
 Pressure Reduction;
 Separated Flow;
 Skin Friction;
 Spheres;
 Stream Functions (Fluids);
 Vortex Sheets;
 Vorticity;
 Fluid Mechanics and Heat Transfer