Abstract
This paper presents the mean streamline analysis using the empirical loss correlations for performance prediction of cross-flow fans. Comparison of overall performance predictions with test data of a cross-flow fan system with a simplified vortex wall scroll casing and with the published experimental characteristics for a cross-flow fan has been carried out to demonstrate the accuracy of the proposed method. Predicted performance curves by the present mean streamline analysis agree well with experimental data for two different cross-flow fans over the normal operating conditions. The prediction method presented herein can be used efficiently as a tool for the preliminary design and performance analysis of general-purpose cross-flow fans.
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Abbreviations
- A :
-
Cross-sectional area
- C f :
-
Skin friction coefficient
- D :
-
Diameter
- D hyd :
-
Impeller average hydraulic diameter
- g :
-
Gravitational acceleration
- H :
-
Total head
- L :
-
Longitudinal axial length of impeller
- L b :
-
Impeller flow length
- P in :
-
Input power
- Q :
-
Volume flow rate
- S:
-
Surface area
- U :
-
Tangential impeller speed
- V :
-
Absolute velocity
- \(\bar V\) :
-
Average velocity at measuring station
- V slip :
-
Slip velocity
- W ui :
-
Tangential component of impeller inlet relative velocity
- \(\bar W\) :
-
Average relative velocity
- Z:
-
Number of blades
- α:
-
Absolute flow angle from tangential direction
- β:
-
Relative flow angle from tangential direction
- β2o,b :
-
Impeller exit blade angle at second stage
- ΔH:
-
Total head change
- Δp o :
-
Total pressure change
- Δp s :
-
Static pressure change
- ηo :
-
Total efficiency=ΔpoQ/Pin
- ρ:
-
Fluid density
- ΣΔH L :
-
Summation of total head loss
- φ:
-
Flow coefficient=Q/ (U 2oD2o L
- ψo :
-
Total pressure coefficient=Δpo/(0.5ρU2 20)
- ψs :
-
Static pressurecoefficient=Δps/(0.5ρU2 20)
- ω:
-
Impeller rotational speed
- Euler :
-
Euler work
- enl :
-
Enlargement
- exit :
-
Scroll casing exit
- exp :
-
Expansion
- id :
-
Ideal condition
- inc :
-
Incidence
- m :
-
Meridional direction
- sc :
-
Scroll casing
- sf :
-
Skin friction
- th :
-
Throat of scroll casing
- U :
-
Tangential direction
- vsf :
-
Skin friction in scroll casing
- 1i :
-
First stage inlet
- lo :
-
First stage outlet
- 2i :
-
Second stage inlet
- 2o :
-
Second stage outlet
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Kim, J.W., Oh, H.W. Mean streamline analysis for performance prediction of cross-flow fans. KSME International Journal 18, 1428–1434 (2004). https://doi.org/10.1007/BF02984256
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DOI: https://doi.org/10.1007/BF02984256