Transient solutions for stratified fluid flows
Abstract
A solution is presented to an initial value problem in the theory of stratified fluids. A system of two linear second order equations in three space dimensions and time is considered. The equations describe the flow of an inviscid incompressible fluid in which an arbitrary distribution of source strength is prescribed. It is assumed that the density and the buoyancy frequency are constant. A fundamental solution of the system is used to solve the initial value problem in terms of the source distribution and the initial conditions. Attention is given to the displacements caused by the fundamental velocity field.
 Publication:

Journal of Research Section B Mathematical Sciences B
 Pub Date:
 March 1976
 Bibcode:
 1976JResB..80...79F
 Keywords:

 Boundary Value Problems;
 Equations Of Motion;
 Inviscid Flow;
 Stratified Flow;
 Transient Response;
 Buoyancy;
 Incompressible Fluids;
 Linear Equations;
 Three Dimensional Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer