Effect of Partial Shrouds on the Performance and Flow Field of a Low-Aspect-Ratio Axial-Flow Fan Rotor

Table 5

Comparison of mass averaged values.

(a)

	Rotor (wos)	Rotor (ws)	Rotor (wps)	Rotor (ws)	Rotor (wps)
𝜙	𝜓𝑜	𝜓𝑜	𝜓𝑜	Δ𝜓𝑜 (%)	Δ𝜓𝑜 (%)
0.42	0.7677	0.7598	0.7475	−1.0	−2.6
0.48	0.7741	0.7853	0.7921	1.4	2.3
0.55	0.6852	0.7088	0.7031	3.4	2.6
0.64	0.5965	0.6122	0.6055	2.6	1.5

whereΔ𝜓_𝑜(%)=(𝜓_𝑜(rotor(ws))−𝜓_𝑜(rotor(wos)))/(𝜓_o(rotor(wos)))forrotor(ws)
and Δ𝜓_𝑜(%)=(𝜓_𝑜(rotor(wps))−𝜓_𝑜(rotor(wos)))/(𝜓_o(rotor(wos)))forrotor(wps).

(b) Similar definitions are used to calculate Δ𝜓_𝑆 and Δ𝜓_{𝑙𝑜𝑠𝑠}.

	Rotor (wos)	Rotor (ws)	Rotor (wps)	Rotor (ws)	Rotor (wps)
𝜙	𝜓𝑆	𝜓𝑆	𝜓𝑆	Δ𝜓𝑆 (%)	Δ𝜓𝑆 (%)
0.42	0.2889	0.2765	0.2754	−4.3	−4.7
0.48	0.2554	0.2476	0.2622	−3.1	2.7
0.55	0.1422	0.1265	0.1647	−11.0	15.8
0.64	0.0325	0.0067	0.0359	−79.4	10.4

(c)

	Rotor (wos)	Rotor (ws)	Rotor (wps)	Rotor (ws)	Rotor (wps)
𝜙	𝜓loss	𝜓loss	𝜓loss	Δ𝜓loss(%)	Δ𝜓loss(%)
0.42	0.03112	0.03684	0.02541	18.4	−18.3
0.48	0.05139	0.05365	0.04565	4.4	−11.2
0.55	0.06262	0.06492	0.05577	3.7	−10.9
0.64	0.05473	0.05359	0.05015	−2.1	−8.4