Dimensions

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Dimensions

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On page Dimensions, panel Shaft/ hub, the required shaft diameter is computed and the hub diameter is determined by the user.

¢ Shaft/Hub

 

The main dimensions of a designed impeller - suction diameter dS, impeller diameter d2, outlet width b2 - can be seen on Main dimensions panel. They can be recomputed by pressing the Calculate-button. The computation is based on "Euler's Equation of Turbomachinery", on the continuity equation and the relations for the velocity triangles as well as on the parameters and parameter ratios given in the tab sheets Setup and Parameters.

Individual main dimensions can be calculated separately using the button inside the value field.

You may accept the proposed values or you can modify them slightly, e.g. to meet a certain normalized diameter.

In case the checkbox Automatic is activated a new calculation will accomplished after any change of parameter. Then the manual alteration of the main dimensions is not possible.

Due to the Euler equation the impeller diameter d2 and the blade angles βB2 are coupled (see Outlet triangle). Lower d2 values result in higher βB2 (higher blade loading) and vice versa. For that reason the resulting average βB2 value is displayed for information right beside the calculated/ specified d2 value.

 

Neighboring components

In specific cases the dimensions of the neighboring components at inlet and/ or outlet can be used to get exactly matching geometry.

This feature is available only for explicitly uncoupled components or side-by-side impellers.

Information

In the right panel of any tab sheet an information panel is situated, which holds the computed variables in accordance to the actual state of design, the resulting Meridional section as well as the Cordier-Diagramm with the location of the best point. These three sections can be chosen by the appropriate soft buttons in the heading.

In the Value section the following variables are displayed for information which result from calculated or determined main dimensions:

Work coefficient

Flow coefficient

Meridional flow coefficient

Diameter coefficient

Tangential force coefficient

Outlet width ratio

b2/d2 = 0.01...0.15

Diameter ratio

dS/d2

Inlet Mach number

Outlet Mach number

(perfect gas model)

Degree of Reaction

thermodynamic values for

- impeller inlet (cross section S)

- impeller outlet (cross section 2)

ρ, p, T, cm, cu, w, u, ρt, pt, Tt

In the impeller outlet (cross section 2) two different total pressure values are given: pt2 and pt2Imp. This is based upon the following assumption: All non-rotating components of the project are considered as being loss-less. An additional efficiency can be defined in the global setup. Additional losses connected to this additional efficiency are considered within the impeller. That is to say, straight after the trailing edge an adiabatic expansion takes place reducing the total pressure of the impeller pt2Imp to the value at the inlet of the next non-rotating component pt2. In accordance to following diagram these two different pressure values are calculated (assuming perfect gas behavior) by:

and

.

 

All thermodynamic values are calculated on the basis of the total pressure pt2Imp in cross section 2.

If a stator is located prior the impeller, boundary conditions for the determination of the main dimensions will be calculated on the basis of the thermodynamic state at the outlet of this stator. In case of an undefined thermodynamic state at this location the inlet boundary conditions (i.e. total pressure and temperature as well as swirl) will be taken from the global setup and a warning is generated.

It might be that for the chosen configuration of global setup and main dimensions a reasonable thermodynamic state cannot be calculated. This may be the case if e.g. the mass flow is too high for the chosen cross sections. Then again a warning is generated.

 

The Meridional preview is based on the until now designed main dimensions.

 

The Cordier diagram can be used for checking the impeller diameter d2.

See Cordier.