Approximation functions

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Ü Perferences | Database | Approximation functions Curves

 

CFturbo uses many approximation functions. These functions are based on published measurement data that facilitate the forecast of optimal or accessible values.

 

In this dialog the approximation functions are displayed graphically and can be customized. Functions for the following physical quantities are available:

 

Impeller

Diameter coefficient δ

 

Pump, Ventilator impeller

Width number b2/d2
Flow angle inflow β0A
Flow angle outflow β3
Volumetric efficiency ηV
Tip clearance efficiency ηT
Side friction efficiency ηS
Mechanical efficiency ηm

 

Pump impeller

Hydraulic efficiency ηh
Work coefficient ψ
Intake coefficient ε
Number of blades z
Wrap angle φu
Meridional deceleration cm3/cmS
Inclination angle hub εH
Inclination angle shroud εS
Inclination angle trailing edge γ
Blade thickness leading edge s1
Blade thickness trailing edge s2
Blade thickness max. smax
Suction specific speed nSS
NPSH coefficient λc
NPSH coefficient λw

 

Ventilator impeller

Hydraulic efficiency ηh
Work coefficient ψ
Diameter ratio d1/d2
Shroud angle γS
Meridional deceleration cm1/cmS
Meridional deceleration cm2/cm1

 

Compressor impeller

Work coefficient ψ
Lokal flow coefficient φ
Total flow coefficient φt
Meridional flow coefficient φm
Width number b2/d2
Rel. deceleration ratio w2/w1
Meridional deceleration cm2/cm1
Meridional deceleration cm1/cmS
Meridional deceleration cm2/cmS
Machine Mach number Mu2
Peripheral speed u2
Diameter ratio d1/d2
Flow efficiency ηtt
Volumetric efficiency ηV
Mechanical efficiency ηm
Rel. inlet flow angle βS
Rel. inlet Mach number MwS

 

Turbine rotor

Meridional flow coefficient φm
Tangential force coefficient ct
Coefficient ratio cr
Meridional acceleration cm2/cm1
Meridional acceleration cmS/cm2
Wrap angle φu
Flow efficiency ηtt
Mechanical efficiency ηm
Diameter ratio dS/d1
Diameter ratio d2/d1

 

Stators

Axial extension (bowl diffuser) Lax/d2
Deceleration ratio (radial diffuser) c3q/c2
Inlet diameter ratio (bowl diffuser) dIn/d2
Inlet diameter ratio (radial diffuser) dIn/d2
Inlet width ratio (bowl diffuser) bIn/b2
Inlet width ratio (radial diffuser) bIn/b2
Outlet diameter ratio (radial diffuser) dOut/d2
Oversize factor (radial diffuser) fa3

 

Volute

Cut-water diameter ratio d4/d2
Cut-water width ratio b4/b2
Stepanoff constant ks

 

On the left at File location, the name of the file is shown that contains all data of the functions. In general this file is called Functions.cftfu, and is located in the installation directory of CFturbo. Modifications to functions are saved automatically if you leave the dialog window by pressing the OK-button. In case the user has no write permissions one could choose a different directory to save the file. Renaming files is possible by using the Save as-function. By clicking the Open-button a previously saved functions file can be opened.

 

Functions_Dlg

 

 

All available functions are listed in a tree structure in the panel Functions left from diagram, sorted by machine type.

 

The user must first select the variable under the corresponding machine type. CFturbo’s internal function is displayed in the diagram in blue color. You can add any user defined function for each variable. Selected function is displayed in the diagram in addition to CFturbo's internal function. Function with active check box is used by CFturbo for calculations. If no function has active checkbox or no additional function is defined at all, then the CFturbo internal function is used.

 

functions_treebuttons

With these buttons below the tree you can add, delete or rename functions.

 

The following hierarchy exist in the tree:

functions_tree

physical variable

  user defined function

     parameter curve (available for some functions only)

        upper limit curve (optional)

 

Functions can depend on 2 variables whereas one serves as parameter. Separate curves exist for each particular parameter value that are used to calculate function values. The parameter value is displayed on endpoint of the curve in the diagram.

With the upper limit curve you can define a recommended range, which means an area that is defined by a higher and a lower limit.

 

 

In panel Points right from diagram you can edit curve points of selected function. You can add new points at the end of the table – the points are automatically sorted by x values. To remove a point you have to delete either x or y value.

 

functions_buttons

These buttons are enabling the user to:

- import points from file (one point per line)

- export points to file

- copy all points to clipboard

- paste points from clipboard (e.g from Excel)

- clear the table

 

 

On panel Test you can test the active function. Saving of values is possible by clicking OK-button.

Page url: http://www.cfturbo.com/fileadmin/content/manual/en/index.html?prefapprox.html