IIT JEE , AIEEE Forum - Physics , Mechanics

caprio.nups

A horizontal bottom of a wide vessel with an ideal fluid has a round orifice of radius R1 over which a round closed cylinder is mounted, whose radius R2 > R1. The clearance b/w the cylinder and the bottom of the vessel is very small, the fluid density is

. Find the static pressure of the fluid in the clearance as a function of the distance r from the axis of orifice(and the cylinder), if the height of the fluid is equal to h.

caprio.nups

Sir plz ans this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

caprio.nups

Why no one is answering me???????????????????????

mustafabuxa

I am sorry nupu.I am not exactly understanding what clearance are you trying to mention in the question.

Just eleborate I might be able to help you.

mail me on mustafabuxa@yahoo.com

kusum

hi ,
can u pls provide an image of the follwing ques.it will make it easier to solve

harry

the formula editors isn't working so try to understand the text
d - density
x - static pressure at a distance r from the axis of orfice
p - atmospheric pressure
a - r subscript 1

here the opening of orfice is exposed to atmosphere hence the pressure there is atmospheric pressure
by bernolis equation(the two points of applicarion are - one at the bottom of the vessel at a dis h from the top of vessel and the other point is a r=t a dis r from the axis of cylinder)
p + dgh = x + 1/2dv^2

applying equation of conitunity
2(pi)rd*v = 2(pi)ad*(root over 2gh)
here d is the clearance distance
draw a top crosectional figure u will easily understand it
hence v = (a/r)(root over 2gh)

Substuting this in the bernoulis eq. and solving for x
u get x = p + dgh[1-(a^2/r^2)]

replace the given alphabets u will have the required ans.

if u haven't understood anything mail me at harry_simplysuperb@yahoo.com

krishna.gopal

What caprio wants to ask is Static pressure, but i think that such a syste with clearance and orifice, can never give static system as fluid will flow through it (As harry has done it applying continuty equation)

So i would request caprio to explain whether he want pressure as a function of r when water is flowing (which is what provided by harry) or some thing else

caprio.nups

It is the clearance b/w the mounted cylinder and the bottom of the wide vessel over which the cylinder is mounted.

We have 2 calculate the static pressure of the liquid in this clearance..

caprio.nups

plz reply!!!!!!

harry

hi
i u have Problems in Genral Physics by I.E.Irodov then refer pg.63 prb no. 1.321(see the fig) it will give u a good understanding if u still don't understand imagine as if if ur see the fig from the top and draw a top view of the crossection of radius r. i have found the static pressure in the clearence dis-- that's for shure. remember draw a fig. u wilol get a good understanding.
if u still have a problem i will help u

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