FMS_UNIT1

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2 pa i cos e-

" /- a J ' x 2 Vc o s e

- pa v [ > s in e > s i n O] = 0F

y- 0

(B ; .*. Jtt s t r i k e s t h e c u r v ed p l a t e Or v a n e a t o n e e n d t a n ge n t ia l 1t w he n t h e p l a t e i s t 1n sy n

7i s c ase As t hc p l a t e i s u n s ym m e tr ic a l a bo u t x a x is,

th e r e or e.

The a n g l e s m ad e by t hedn l aTi a t in l e t a n d o u t l e t t ip s o f the p la te w i th x a x i s w i l l be di ff e r e n t L e t e a n d b e t hesde by the ta n ge n t s a t in le t t i p a n d o u t le t t ip r e sp e c t iv e ly w i th x a x is

Con ipo n e n ts o f v e l o c i ty a t in l e t : V1t - Vc o s e ; " Iy- V s in e

( , w on c n t s o f 1 : e l o c i ty a t o u t l e t : 1 / , - Vc o s ; VZy - V s in yow ihc fo r c e s e x e r t e d by t h e fl u i d j e t in x a n d Y d i r e c t io n a r e :

F.

- Pa " ( v I t " z , )F

.

- Pa }' [ v c o s e ( Vc o s ) ] = p a v ( v c o s e + V c o s )

p a l ( ! s i n o " s in )F

,

- Pa f " (s m 0 s in ) ( 17 12)W t 11 1

.

A j e r o f w a f e r , 75 m +11 Bn d ia 11e e 1 : 155 1l e s w i t h a v e lo c i ty o30 m / s a n d i Tn p i n g e s1 astariona1yRa 1p ta e +v l 1i c l 1 t t es1m) ' s 11a Fil m t m r 1n o t i o n F / 1d i he f o r c e e x e r Je d by l he j e l o n i ltee r w o r k do n e

Se\ tio n D ia m e t e r o f j e t

,

d = 7 5 m m - 0 0 75 m\ /


" " u

1e o e

(i i) Th e c o m po l +c l 1t s of th e fu 1 c e , p :

F,

- F s i rr o = 153 1 2 5 x s in 30 0 . 765625N (A m )

Fv

- F c o s e = 153 1 2 5 x c o s 300

_ 13 2 6 l N{ An14(i 1) 11 e r a t i o i n w h i c h t h

e d i s c h a r ge ge t s d i v i d e d :

.

l + c o s e

o r Q : 1 c o s J U 1 s o o d

E x a m pl e 11 - 3 j e t o f w a t e r o d i a 11 e t e r 40 m Bn ?n o vin g

r e 1t l1 a v e l o c ih ' o f 30 m /5 , s t r i ke s a c u n e d Tix e d symmet r i ca1

p la t e a l h c c e l zr e F in ( f t he Fo r c e e xe r t e d by t l1e j e : w a te r i n h&

t 1e d i r e c t i o n o t he j c t i t hc j e f i s decr ed t h r o u g h a Bz a n g ie MQ 120 a l t he o u t 1c t o f r lBc c t Bn r e t i p la t e

Ui t

So l u t i o n D i a m e t e r o f j e t , d = 4 0 r m l - 0 04 m

A r e a o f j e \

a x t B 2 - x 0 04 24 4

0 01 25 6m~

V e l o c i t y o f j e t , r = 30 m ' sA n g l e o f d e f 1e n t i o n 1 20

, O r

,

180 e = 120

e = 1 80 120 _ 60 Fig 171Fo r c e e x e r t e d by the j e t o f w a t e r ] n t he d i r e c t io n o f j e t ,

F,

- p a VZ ( I ; c o s o ) Fp>

- 1000 0 00 1256 30~ (1 + c o s 60 )A 1 a m p \ e 1 7 4

.

A j e t o w a +e r o f 2 0 m m ( i a m e t e r a r 1d n o v i n g a t 15 m l s , sn ikes p ' "

o a s y m m e t r i c a l v a n e e r i m p i n g c m e n t,

l he j e t g e t sd e e c 1e d t h r o u g B1 1 60 by t he v a n e P r e s u m i n g v a n e

Ei) T \ e r a t i o o f v e /o c i u a t o t111e l 1o i l l a t t r l e l : a c tu a t r e a c t io n o r t he v a n e i s 12 7 NSo l u t i o n D ia m e te r o f the j e ; t = 20 n u n = (Ve l o c i ty o f j e t s,

1' = 15 m /s 0 02 m

A n g l e o f d e f l e c t i o n 1 600

R e ge r t o F ig 17 6

E) T h e fo r c e e x e r te d by t h e j e t o n t h e v a n e, F :

" " c n c a l fo r c e (o r th r u s t ) by th e j e t o n th c v i n e l\

F Pa W ( 1 + c o a e) 1 000

xl . 4

o 02 2) 152 ( l + c o s 2 o ) 13 7 I N (A n . .

v

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