Lecture 17: Tubular laminar flow and Hagen-Poiseuille equation
Apply BC1:(symmetric BC) (No slip BC) where, Note that velocity profile is parabolic in the tube.
Calculate, volumetric flow rate
You should be able to show that
Or, Re–arrange, This equation to calculate pressure-drop in a horizontal pipe of Length L and inside-diameter D, for a viscous incompressible fluid flowing under steady-state fully developed laminar condition, is known as Hagen-Poiseuille equation
