Boundary layer flow for a moving belt
Abstract
A similarity solution for an ordinary thirdorder differential equation with a physical interpretation is presented for a boundary layer flow over a moving flat plate. Specifically, a pair of moving belts over two pulleys located at the origin of a system of planar Cartesian coordinates is used to illustrate the problem of a rotating cylinder in a cross flow. A sequence of approximations is given to parameterize the flow. It is noted that the stream lines remote from the belt are displaced inward toward the surface rather than outward, and that a standing eddy arises in cases for which the free stream moves in a direction opposite to that of the belt's motion.
 Publication:

Arabian Journal of Science Engineering
 Pub Date:
 November 1977
 Bibcode:
 1977AJSE....3...39T
 Keywords:

 Boundary Layer Flow;
 Flow Theory;
 Plates (Structural Members);
 Rotating Cylinders;
 Approximation;
 Boundary Layer Separation;
 Boundary Value Problems;
 Similarity Theorem;
 Translational Motion;
 Vortices;
 Fluid Mechanics and Heat Transfer