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Mathematics 2020, 9, 50 8 of 30 Mathematics 2020, 8, x FOR PEER REVIEW 8 of 34 is then the sum of the two-blade angles. Fiigurre4..Creattiionoffsttattor3Dmodell.. The stator geometrical parameters can then be obtained based on the value of Ο. The The stator geometrical parameters can then be obtained based on the value of π. The required required parameters are chord length cv, maximum camber b and its location g. The parameters are chord lengthππ£, maximum camber π and its location π. The leading π2 and trailing leading Ο2 and trailing Ο3 edge blade angles can be obtained using Equations (8) and (9). π3 edge blade angles can be obtained using Equations (8) and (9).The angle of the blade comber-line The angle of the blade comber-line is then the sum of the two-blade angles. π‘πππ2 = π‘πππ3 = 4π (4π β ππ£) v 4b (8) (8) (9) (9) 4π 4b tanΟ2 = (4gβc ) tanΟ3 = (3ππ£ β 4π) (3cv β 4g) Aungier [27] proposAedunsgevierra[2l7e]qpuraotpionssedtosecvalecrualaetqeuthateiobnlasdtoe cthalicuknlaetsesthateabnlaydleocthatiicokneaslsonagt any loca- tion along the camber-line as shown in Equations (10)β(14). the camber-line as shown in Equations (10)β(14). π‘=π‘ +[π‘ βπ‘ ]ππ ππππππ₯πππτ± τ±e (10) (11) (12) (13) t=tref+tmaxβtref ΞΎ (10) (11) (12) (13) (14) vv tmax and d are the maximum blade thickness and its location, respectively. The leading t2 π‘πππ =π‘2+[π‘3βπ‘2](π₯) τ±xτ± π π₯ tref =t2+[t3βt2] d π=π ππππ₯β€π x ππ£βπ₯ ππ£ β π ΞΎ=d forxβ€d πππ π₯ > π π = π=[0.95(1β π₯)(1βπ)+0.05]β0.4π ΞΎ = cv β x f or x > d cv β d (14) π‘πππ₯ and π are the maximum blade thickness and its location, respectively. The leading π‘2 and πτ²τ°°xτ°±π τ²0.4d e=π£ 0.95 1βc (1βπ£ΞΎ)+0.05 c trailing π‘ edge blade thicknesses can be obtained from the mean-line model. Figure 5 depicts the and trailing t3 edge blade thicknesses can be obtained from the mean-line model. Figure 5 distributions of vane angles and thickness and Figure 6 shows the developed 3D model of the nozzle. 3 depicts the distributions of vane angles and thickness and Figure 6 shows the developed 3D model of the nozzle. τ³€PDF Image | Generation of 3D Turbine Blades for Automotive ORC
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