Analysing Laminar Flow Numerical Simulation Error of Fluent in Circular Tube Based on Hagen Poiseuille Formula

Firstly, using Fluent laminar model simulate volumetric flow rate and pressure differential. second, using Hagen Poiseuille formula calculate coefficient of dynamic viscosity. Then we can calculate laminar flow numerical simulation error of fluent by contrasting the difference of coefficient of dynamic viscosity between laminar simulative results of Fluent and calculated results of Hagen Poiseuille formula. Geometric model is Circular pipe. Fluid medium is water. The study found three conclusions. Fluent model relies on simplified mathematical formula, which can not accurately describe real flow situation, so Fluent simulation results is not accurate; When inlet velocity is at the range of 0.06m/s to 0.15m/s, Given coefficient of dynamic viscosity by Fluent model is always smaller than calculated coefficient of dynamic viscosity by Hagen Poiseuille formula; Laminar flow numerical simulation error of Fluent in circular tube gradually increase along with the increase of inlet velocity at the range of 0.06m/s to 0.15m/s.