Two-dimensional slow viscous flow of an incompressible fluid in a channel with constriction is investigated on the basis of Stokes approximation.
The problem is formulated as a mixed boundary value problem and by reducing it to a Fredholm integral equation of the second kind. A formal expression for the flow is obtained.
The drag on the constriction and the additional pressure drop due to the presence of the constriction are estimated by evaluating the formal expression numerically.
