An analytical series solution to the steady laminar flow of a Newtonian fluid in a partially filled pipe, including the velocity distribution and the dip phenomenon

DOI10.1093/imamat/hxv025zbMath1338.35360OpenAlexW2473728494MaRDI QIDQ2802161

Luke Fullard, Graeme C. Wake

Publication date: 25 April 2016

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/hxv025

zbMATH Keywords

analytical solutionNewtonian fluidpartially filled pipe

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Solutions to PDEs in closed form (35C05)

Related Items (3)

Effect of secondary currents on the flow and turbulence in partially filled pipes ⋮ Analytical solutions of upper-convected Maxwell fluid flow with exponential dependence of viscosity on the pressure ⋮ Reconstruction of velocity distribution in partially-filled pipe based on non-uniform under-sampling

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