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Missouri University of Science and Technology
<p>Wakes (Fluid dynamics)<br />Navier-Stokes equations<br />Reynolds number</p>
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Transient State Analysis Of Separated Flow Around A Sphere, Ching-Liang Lin
Transient State Analysis Of Separated Flow Around A Sphere, Ching-Liang Lin
Doctoral Dissertations
"Transient state solution of the Navier Stokes equation was obtained for incompressible flow around a sphere accelerating from zero initial velocity to its terminal free falling velocity. By assuming rotational symmetry around the axis in the falling direction, the Navier Stokes equation and the continuity equation were simplified in terms of vorticity and stream function. The instantaneous acceleration of the falling sphere was calculated by considering the difference between the gravitational force and the drag force in a transient state. The governing partial differential equations were non-dimensionalized. A set of implicit finite difference equations was developed. In order to obtain …