Question

Three fundamental conservation equations will be practiced in this problem. Attached figure shows the smooth merging of two free jets of SAE30 oil in open air on a horizontal plane. Assume that, without any dispersion, they form a homogeneous jet a) Write the momentum principle in x and y directions and manipulate the two equations to derive a relationship for angle a in terms of given information: Vi=6 m/s, V2=4 m/s, di-0.1 m, d 0.12 m and 0 45°. Calculate the angle a b) Use the conservation of mass and momentum principle in y direction to determine the combined jet velocity, V3 c) Write the conservation of energy (first law of thermodynamics) for the combined jets, substitute the enthalpy h by (u P/p) to calculate the change of fluid internal energy т, (и, — и) + т,(и,-и,) in Watts.

Answer 1

G 3 ven data daeo12m-- N2 d2 Co ngenvation mb ment LA m PD G1 VI 2=A1V2 t TIXO12x o1279S Si mil. eso1&qts 2 0.1275 fo-28769 o.1279s O.h1oh 3063 Yan4765

1o.17745 S7363 10.177a5 6.297 o.430 6.6301) V3 01065 A1v1 1 A1 v 01670-14 b.430 4.657 mIS. Applyin Ben no ulis en. ( 1 & 2 (P3-T) 36- 4. 6372 7-156) (a&3) e 2 .-a.287 SFE E 2 r4-4 w t +m2 -MTEUZ u

43-4mug-ul (mit MaV 七ー VI 2 2 +2 ×ヌ-156) KD-n?ォh0-5?3 mls ナ 004573x 16 2 2 o0923x 57 6 bA1x71S61 7 6052x342 watt SAE 30 0 ) 660XD 0145 12-93 Watt