Hagen-Poiseuille Flow in a Quarter-Elliptic Tube
Mateus D. Bacelar, Hugo C. M. G. Ferreira, Rajai S. Alassar, André von Borries Lopes
Abstract
We present a rare exact solution of the Navier–Stokes equations for the Hagen–Poiseuille flow through a quarter-elliptic tube. Utilizing the separation of variables method, we derive the solution and report expressions for both the volumetric flow rate and the friction factor–Reynolds number product.
Topics & Concepts
Hagen–Poiseuille equationTube (container)Reynolds numberQuarter (Canadian coin)MechanicsFlow (mathematics)Friction factorPhysicsMathematicsMaterials scienceTurbulenceArchaeologyComposite materialHistoryNanofluid Flow and Heat TransferHeat and Mass Transfer in Porous MediaRheology and Fluid Dynamics Studies