Join now for JEE/NEET and also prepare for Boards Join now for JEE/NEET and also prepare for Boards. Register Now
Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
derive continuity equation derive continuity equation
p1a1v1=p2a2v2 or A1V1=A2V2
Let us consider a tube AB of varing cross-section with water is flowing through that tube. At side A, area of cross-section be `A1` velocity of fluid be `v1` At side B, area of cross-section be `A2` velocity of fluid be `v2` and density of water be `d` and let `A1`>`A2` Now v=distance travelled/time=l/t --->l=vt ---> Mass of fluid entered the tube at A in `t`seconds, m1=dV1=dAl=dA1v1t ----->(1) ---> Mass of fluid leaved the tube at B in `t`seconds, m2=dV2=dAl=dA2v2t ----->(2) But mass of fluid which entered into the tube is equal to the mass of fluid leaved the fluid. Therefore from equations (1) and (2) m1=m2 dA1v1t=dA2v2t Therefore A1v1t=A2v2t Therefore Av=constant
Consider the mass of a fluid entering a at A in `t` seconds M1=density*A1*V1*t Mass of the fluid leaving the tube at B in `t` seconds M2=A2*density*V2*t We know that M1=M2, density*A1*V1*t=density*A2*V2*t A1*V1=A2*V2 Therefore A1*V1=constant
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -