There are two tanks of same height h3, and pressure in both the tanks are maintained at p1 and p2 respectively, where the liquids are filled upto h1 and h3., there is a pipe connecting the two tanks from which the liquid comes out of a hole., what is the speed of efflux??
Assume the pipe of negligible volume and atmospheric pressure to be P, g=10m/s2.
1NOTE:VELOCITY OF WATER AT BOTH TANKS CAN BE NEGLECTED SINCE WATER COMES OUT OF A TINY HOLE SO V1 AND V2=0(VERY CLOSE)
LET VELOCITY OF EFFLUX BE V
SO APPLYING BERNOULLIS THEOREM:
P1+pg(h+h1)=P2+pg(h+h2)=P+pV2/2
solving it we get ans. as i posted in #3
1@gordo
thinking that only i wrote equations accordingly..............
see #15 ......[1]
1@sriraghav do u notice the pressure at the bottom most point of the two cylinders, Pa=P1+dgH1
Pb=P2+dgH2
do u see that the 2 pressures are different...now observe the direction of motion of the liquid in the 1st cylinder, left to right...
motion of liquid in the 2nd cylinder is from right to left,
so after all this, Do u really think this is stream line motion i mean there are 2 different directions for motion,and its not a pressure equilibrium situation, so untill we have a situation where P1 + H1dg= P2+H2dg we cannot apply the bernoulis theoram at the hole point...
cheers!!!
1but ya exact velocity when calculated if area of cross section be given wud not be too different from one i posted in #3 coz then u will get ratio of area of cross section which again you will have to assume as zero................................................n finally ans. will be same as wat i gave in #3...
1hey richa i wud have given exact velocity had the area of cross section be given.got it!!!!!!!!!...it is not at all difficult.
1ya ankit is correct the net velocity will nt be exactly wat john has calculated as water has to cum out thru a single hole so the flow is not independent .n thus net velocity must be sumwat less than tht calc(bt i dunno how to find it exactly)
1ur case will work for 2 holes john ... can u take the single hole as two holes !!
i mean wat do u mean by bold words
1. dont waste ur time on this mybrain-made Q.....i just had the doubt!!
1pata nahi ! i am totally confused .. not intrested as no one knows wat is correct !
1ur case will work for 2 holes john ... can u take the single hole as two holes !!
1i donno the ans john... i wanted someone to post the soln...NOTE IT is my own Q>>>>:D
1I DON THINK ANYTHING IS MISSING.BUT U GAVE EXTRA INFORMATION(h3[3])
1my own Q, i needed the steps pls....
I wanted to know whether it is just the straight Bernoulli derivation or some other thing will b there....
Sorry for makin ur brains confused!!
I want the soln...
If anything relevent is missin pls add up... i dont mind:P
1let's wait for sriraghav's reply.
i wonder he is online since such a long time n not replying.
1sky ur answer is incorrect ! something fishy is there in this question ..
1velocity of efflux={2[P1-P+(rho)gh1]/(rho)}1/2={2[P2-P+(rho)gh2]/(rho)}1/2
