Laminar Flow
Poiseuille Flow in a Pipe
Problem Statement: 3D laminar flow is modeled in Creo Flow Analysis. The calculated pressure drop is compared to the analytical solution for a Poiseuille flow.
References: F.M. White. Fluid Mechanics. 3rd Edition. McGraw Hill Book Co. Inc., New York, NY, 1994.
Fluid Properties
Geometric Properties
Working Conditions
Density = 1 kg/m3
Viscosity = 1x10-5 Pa-s
Reynold’s Number = 500
Radius = 0.00125 m
Length = 0.1 m
Inlet velocity = 2 m/s (fully developed)
Outlet Velocity = 2 m/s (fully developed)
Result – Velocity magnitude contours
Result Comparison – Pressure drop across the pipe
Results
Analytical
Creo Flow Analysis
% Difference
Pressure Drop (Pa)
10.24
10.302
0.6
Taylor-Couette Flow Between Concentric Cylinders
Problem Statement: 2D Laminar flow is modeled in a Taylor-Couette cell using the Flow module. The inner cylinder rotates. The outer cylinder is fixed and representative of a method for measuring the viscosity of a fluid.
A = Inner Cylinder
B = Outer Cylinder
References: F.M. White. Viscous Fluid Flow. Section 3-2.3 McGraw Hill Book Co. Inc., New York, NY, 1991.
Fluid Properties
Geometric Properties
Working Conditions
Air
Density = 1 kg/m3
Viscosity = 0.0002 kg/m-s
R1 = 0.0178 m
R2 = 0.04628 m
ω 1= 1 rad/s
Outer Circle Fixed
Results – Velocity magnitude contours
Result Comparison – Velocity across the fluid
Radial Coordinate (m)
Analytical Solution (m/s)
Creo Flow Analysis (m/s)
% Difference
0.020
0.01512
0.01518370
0.42
0.025
0.01053
0.01047970
0.48
0.030
0.00718
0.00723849
0.81
0.035
0.00454
0.00453034
0.21
Laminar Flow in a Trapezoidal Cavity
Problem Statement: 2D laminar flow is modeled in a trapezoidal cavity with moving top and bottom walls using the Flow module.
U = Uwall
References: J.H. Darr, S.P. Vanka. “Separated Flow in a Driven Trapezoidal Cavity”. Phys. Fluids A, Vol. 3, pp. 385-392, 1991.
Fluid Properties
Geometric Properties
Working Conditions
Density= 1 kg/m3
Viscosity= 1 Pa-s
a = 1.5 m
b = 2 m
h = 2 m
Uwall = 400 m/s
Results Comparison
X-Velocity Contours
Y-Velocity Contours
Results Comparison
Normalized X-Velocity
Normalized Y-Velocity