The full elliptic Navier–Stokes equations have been solved for entrance flow into a curved
pipe using the artificial compressibility technique developed by Chorin (1967). The problem …

The entrance region has been divided into two parts, the inlet region and the filled region. At
the end of the inlet region, the boundary layers meet at the pipe axis but the velocity profiles …

Elliptic forms of the Navier‐Stokes equations in rigorously formulated toroidal coordinates
are solved numerically for laminar, incompressible, isothermal flow in curved pipes of small …

The influence of curvature on a pipeflow is discussed for a pipe that starts bending uniformly
after an initial straight section. The Reynolds number and curvature are assumed large and …

This paper deals with the development of the flow in a curved tube near the inlet. The
solution is obtained by the method of matched asymptotic expansions. Two inlet conditions …

An experimental investigation was carried out of the development of steady, laminar,
incompressible flow of a Newtonian fluid in the entry region of a curved pipe for the entry …

A literature survey (Berger, Talbot & Yao 1983) indicates that laminar viscous flow in curved
pipes has been extensively investigated. Most of the existing analytical results deal with the …

The laminar flow of an incompressible fluid in the inlet of a pipe is analyzed numerically. The
numerical technique allows a closer approximation to the basic equations of fluid motion …

A numerical model enabling the prediction of the axial and secondary velocity fields in three-
dimensional configurations at moderate Reynolds numbers and Womersley parameters is …

The Navier-Stokes equations for the flow of a viscous incompressible fluid through curved
pipes of different sections are solved in power series of the curvature of the pipe. The …