Integral theorems in three-dimensional potential flow

Integral Theorems in Three-dimensional Potential Flow

if ƒ is an analytic function of v and f and the integral is extended over the complete boundary of a region in which ƒ is regular. In the dynamics of the two-dimensional potential flow several equations of the form (4) play a decisive role. It must be expected that the analogous theorems are valid in three-dimensional potential flow also. But the question has not yet been answered: For what vec...

The Solution of Three Dimensional Incompressible Potential Flow Through Rectangular Ducts

The Solution of Three Dimensional Incompressible Potential Flow Through Rectangular Ducts

Three-dimensional Desingularized Boundary Integral Methods for Potential Problems

The concept of desingularization in three-dimensional boundary integral computations is re-examined. The boundary integral equation is desingularized by moving the singular points away from the boundary and outside the problem domain. We show that the desingularization gives better solutions to several problems. As a result of desingularization, the surface integrals can be evaluated by simpler...

Heat Transfer in Three-Dimensional Flow along a Porous Plate

An analysis of heat transfer in the flow of a viscous, in-compressible fluid along an infinite porous plate is presented when the plate is subjected to a transverse sinusoidal suction. The flow field becomes three-dimensional due to this type of suction velocity. Expressions for the flow and temperature fields are obtained by series expansion method. It is found during the course of discussion ...