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has been cited by the following article:

• TITLE: The Entrance Region of Circular Pipes Revisited

  AUTHORS: Frederick J. Young

  KEYWORDS: Flow Development, Round Pipe, Incompressible Flow, Constant Temperature, Complete Finite Element Solution, Navier-Stokes Equations

  JOURNAL NAME: Open Access Library Journal, Vol.3 No.7, July 20, 2016

  ABSTRACT: The laminar flow in the entrance region of pipes having a circular cross section is investigated by the use of finite element solutions to the full Navier-Stokes equations in cylindrical coordinates. Because these solutions cover the complete three-dimensional geometry the usual development length is no longer a very interesting parameter as explained herein. The velocities and pressures are determined throughout the pipe and presented in graphic form.