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A sensitivity analysis of centrifugal compressors’ empirical models

  • Thermal Engineering · Fluid Engineering · Energy and Power Engineering
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Abstract

The mean-line method using empirical models is the most practical method of predicting off-design performance. To gain insight into the empirical models, the influence of empirical models on the performance prediction results is investigated. We found that, in the two-zone model, the secondary flow mass fraction has a considerable effect at high mass flow-rates on the performance prediction curves. In the TEIS model, the first element changes the slope of the performance curves as well as the stable operating range. The second element makes the performance curves move up and down as it increases or decreases. It is also discovered that the slip factor affects pressure ratio, but it has little effect on efficiency. Finally, this study reveals that the skin friction coefficient has significant effect on both the pressure ratio curve and the efficiency curve. These results show the limitations of the present empirical models, and more resonable empirical models are reeded.

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Abbreviations

C :

Absolute velocity

C p :

Pressure recovery coefficient

C f :

Friction loss coefficient of vaneless diffuser

DR :

Diffusion ratio in impeller (W 1t /W 2p )

W :

Relative velocity

Z :

Number of blade

β:

Blade angle (from tangential direction)

δ:

Deviation angle

ε:

Secondary flow area fraction

η:

Effectiveness in TEIS model

ρ:

Density

σ:

Slip factor

τ w :

Shear stress in vaneless diffuser

χ:

Secondary flow mass fraction

1:

Impeller inlet

2:

Impeller exit

a :

First element in TEIS model

b :

Second element in TEIS model, blade

i :

Ideal state

p :

Primary zone in Two-zone model

s :

Secondary zone in Two-zone model

t :

Tip

th :

Throat

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Correspondence to Je Hyun Baek.

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Yoon, S., Baek, J.H. A sensitivity analysis of centrifugal compressors’ empirical models. KSME International Journal 15, 1292–1301 (2001). https://doi.org/10.1007/BF03185670

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  • DOI: https://doi.org/10.1007/BF03185670

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