Parameters

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On page Parameters you have to put in or to modify parameters resulting from approximation functions in dependence on specific speed nq or flow rate Q (see Approximation functions).

For this purpose some specific edit fields are used.

 

MD_Parameters_Comp

 

 

The panel Parameters allows defining alternative values in each case for the calculation of the following impeller main dimensions:

 

For d2-calculation

Pressure coefficient ψ

dimensionless expression for the specific energy:

high small d2, flat charactersitic curve
low high d2, steep charactersitic curve

(Total) Flow coefficient φt

dimensionless flow rate

0.01  narrow radial impeller, untwisted blades

0.15  mixed-flow impeller, twisted blades

Diameter coefficient δ

according to Cordier diagram (see Dimensions)

Machine Mach number Mau

dimensionless peripheral speed of impeller related to total inlet speed of sound

Peripheral speed u2

Limiting values due to strength as a function of the material

Impeller diameter d2

 

For b2-calculation

­Outlet width ratio b2/d2

0.01...0.15 (with nq rising)

­Meridional flow coefficient φm

dimensionless flow rate

0.10...0.50 (with nq rising)

 

For d1-calculation (optional)

Diameter ratio d1/d2

d1/d2=0.3...0.8

Relative deceleration w2/w1

w2/w1>0.7  or  f(b2/d2)

 

For b1-calculation (optional)

Meridional deceleration cm2/cm1

cm2/cm1 = 0.8...1.25

 

for dS-calculation

Meridional deceleration        cm1/cmS

or        cm2/cmS

cm1/cmS = 0.9...1.1

cm2/cmS = 0.7...1.3

Relative inlet flow angle βS

Relative inlet Mach number MwS

dS↑ (big diameter)

Relative inlet Mach number MwS

dS↓ (small diameter)

 

The relative inlet Mach number can be implemented in a certain range only. The lower limit is a certain suction diameter. If this limiting suction diameter is increased the peripheral speed uS is also increased as well as the suction temperature TS. This yield a raised relative inlet Mach number, because the relative velocity wS will rise faster than TS. If the limiting suction diameter is decreased the meridional velocity cm will raise whereas TS will fall. This also yields a raised relative inlet Mach number. Above this limit two suction diameters are possible. Both correspondent to the same relative inlet Mach number.

In this context it's important to know that the fluid density is dependent on the velocity and therefore on the geometrical dimensions.

 

 

In panel Efficiency you have to specify several efficiencies. You have to distinguish between design relevant efficiencies and efficiencies used for information only:

Design relevant

flow efficiency ηtt (total-total)
volumetric efficiency ηv

Information only

mechanical efficiency ηm
motor efficiency ηmot

 

The casing efficiency ηc (see Global setup) is used additionally for impeller dimensioning in order to compensate the flow losses in the casing.

 

The losses resulting in energy dissipation from the fluid form the impeller efficiency.

 

Impeller, casing and mechanical efficiency form the overall efficiency (coupling efficiency) of the stage ηSt.

When considering motor losses additionally the overall efficiency of the stage incl. motor ηSt* is defined.

PQ: output power, see above

PD: mechanical power demand (coupling/ driving power)

Pel: electrical power demand of motor

 

The following summary illustrates the single efficiencies and their classification:

efficiency_Comp

 

 

The obtainable overall efficiency correlates to specific speed and to the size and the type of the impeller as well as to special design features like bypass installations and auxiliary aggregates. Efficiencies calculated by approximation functions are representing the theoretical reachable values and they should be corrected by the user if more information about the impeller or the whole machine are available.

 

The impeller efficiency ηtt describes the energy losses caused by friction and vorticity. Friction losses mainly originate from shear stresses in boundary layers. Vorticity losses are caused by turbulence and on the other hand by changes of flow cross section and flow direction which may lead to secondary flow, flow separation, wake behind blades etc.. The impeller efficiency is the ratio between the actual specific energy Y and the energy transmitted by the impeller blades without any losses:

 

The volumetric efficiency is a quantity for the deviation of effective flow rate Q from total flow rate inside the impeller which also includes the circulating flow within the casing:

(rising with impeller size)

 

The mechanical efficiency mainly includes the friction losses in bearings and seals:

(rising with impeller size)

 

Impeller efficiency and volumetric efficiency are most important for the impeller dimensioning because of their influence to and/or . The mechanical efficiency is affecting only the required driving power of the machine.

 

 

In the right panel of the tab sheet Parameter you can find again some calculated values for information:

Required driving power

Power loss

Impeller efficiency

Stage efficiency

Stage efficiency incl. motor

Total-to-static efficiency

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