An axial fan having a hub diameter of 0.4 m and a hub ratio of 0.5 delivers a flow rate of 5 m3/s at a rotational speed of 1800 rpm. If the chord length at mean radius is 0.12 m, determine the pressure change across the fanusing this formula Table 2: Useful Design Parameters & Equations for Axial FanParameter/EquationDescriptionNVCFM(SP)0.75Specific speed w, for use in Fig. 4(gH)0.75i N, =Drv =Hub-tip ratio in Fig. 5 (b)6vZ, =(1-v)Zb: number of bladesVaPm =,Sm =UmFlow coefficient and pitch for use in Fig. 6 (c).N N 0.85 to 0.9Assumed hydraulic efficiency (to be verified later).C, 2-) (tanß, – tanß2)cos(B1)approximate value of C, for blade selection. B1 and ß2 fromvelocity diagramC and Ca from airfoil data (for example Fig. 7)1Ap = pw? (=) (Csinß, - CacosB1)%3D1-R, – p8,[R, - p8,lø + 8,R,' $ + 8,(1 – R,)]Calculated hydraulic efficiency.Va$ = R, =W41,8r/= = tan(Ca/C)U

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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An axial fan having a hub diameter of 0.4 m and a hub ratio of 0.5 delivers a flow rate of 5 m3/s at a rotational speed of 1800 rpm. If the chord length at mean radius is 0.12 m, determine the pressure change across the fan

using this formula

Table 2: Useful Design Parameters & Equations for Axial Fan
Parameter/Equation
Description
NVCFM
(SP)0.75
Specific speed w, for use in Fig. 4
(gH)0.75i N, =
Dr
v =
Hub-tip ratio in Fig. 5 (b)
6v
Z, =
(1-v)
Zb: number of blades
Va
Pm =
,Sm =
Um
Flow coefficient and pitch for use in Fig. 6 (c).
N N 0.85 to 0.9
Assumed hydraulic efficiency (to be verified later).
C, 2-) (tanß, – tanß2)cos(B1)
approximate value of C, for blade selection. B1 and ß2 from
velocity diagram
C and Ca from airfoil data (for example Fig. 7)
1
Ap = pw? (=) (Csinß, - CacosB1)
%3D
1-R, – p8,
[R, - p8,
lø + 8,R,' $ + 8,(1 – R,)]
Calculated hydraulic efficiency.
Va
$ = R, =
W41
,8r/= = tan(Ca/C)
U

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