Fluid flow through a partially filled cylinder
Abstract
The laminar flow of viscous incompressible fluid through a partially filled circular cylinder is studied. For this problem the NavierStokes equations can be transformed into Laplace's equation, and the region of solution is the interior of two intersecting circles. The region is mapped to the unit circle by a conformal transformation, so that the problem may be solved by the Poisson integral formula. It is found that the flow rate can be increased by as much as 27.3% by not filling the cylinder all the way. For the case where the region of solution is the interior of two circles intersecting at right angles, the computations simplify and the integration can be performed analytically. For the case of the nearlyhalf filled cylinder, a perturbation method is used on the solution of the half filled circular cylinder. The results obtained from these special cases agree with the previously obtained results.
 Publication:

Ph.D. Thesis
 Pub Date:
 1979
 Bibcode:
 1979PhDT........75G
 Keywords:

 Circular Cylinders;
 Laminar Flow;
 Pipe Flow;
 Flow Velocity;
 Incompressible Flow;
 NavierStokes Equation;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer