The Navier–Stokes partial differential equation was developed in the early 19th century by Claude-Louis Navier and George ...

A cavitation, or the production and nucleation of reactive vapor bubbles within a liquid, is a fundamental phenomenon in fluid dynamics with wide-ranging applications from industrial-scale operations, ...

Finite element methods (FEM) have become a cornerstone in simulating the interaction between free fluid flow and flow through porous media. In the context of Stokes-Darcy flow problems, FEM provides a ...

The matched eigenfunction expansion method is used for solving Stokes flow around a channel bend. The flow region is decomposed into rectangular and cylindrical subregions. This enables the stream ...

This is a preview. Log in through your library . Abstract In this paper we develop a separation of variables theory for solving problems of Stokes flow in cone-shaped trenches formed as the ...