WOLFRAM SYSTEM MODELER

CubicInterpolation_lambda

Cubic Hermite spline interpolation of the modified friction coefficient in transition regime of the Moody diagram (direct formulation)

Wolfram Language

In[1]:=
SystemModel["Modelica.Fluid.Dissipation.Utilities.Functions.General.CubicInterpolation_lambda"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

Syntax

lambda2 = CubicInterpolation_lambda(Re, Re1, Re2, Delta);

Description

Function CubicInterpolation_lambda(..) approximates the modified friction coefficient lambda2=lambda*Re^2 in the transition regime between laminar and turbulent flow of the Moody diagram by a (direct) cubic Hermite spline interpolation. See Modelica.Fluid.UsersGuide.ComponentDefinition.WallFriction (especially Region 2) for a detailed explanation.

Syntax

lambda2 = CubicInterpolation_lambda(Re, Re1, Re2, Delta)

Inputs (4)

Re

Type: ReynoldsNumber

Description: Reynolds number (= independent variable)

Re1

Type: ReynoldsNumber

Description: Boundary Reynolds number for laminar regime

Re2

Type: ReynoldsNumber

Description: Boundary Reynolds number for turbulent regime

Delta

Type: Real

Description: Relative roughness

Outputs (1)

lambda2

Type: Real

Description: Interpolated modified friction coefficient in transition regime

Revisions

2018-11-20 Stefan Wischhusen: Renamed function from CubicInterpolation_MFLOW to CubicInterpolation_lambda.