Question

What is Equation of Continuity ?

Give answer in detail !

Answer 1

HI!!

HERE IZ UR ANSWER.

Equation of Continuity is very important in proving Bernoulli's Theorem.

For diagram refer to the pic above,

HERE IS THE DERIVATION

mass of liquid entering face A per second,


m1 = mass of liquid entering from face A
¶ = density which will be same at both the faces.
V = volume which will be different due to shape of faces
v = velocity
A = length of face 1
a = length of face 2
x = intraface distance

m1 = V1 * ¶/s = A * x1 * ¶/s

= A* v1 * ¶ {x1/s = v )

Mass of liquid entering face 2 per second.

m2 = V2 * ¶/s = a * x2 * ¶/s

= a * v2 * ¶ ( x2/s v )

According to law of conservation of mass, mass entering at both faces will be equal, m1 = m2

So,

A * v1 * ¶ = a * v2 * ¶

¶ se ¶ cancel

A becomes inversely proportion to v

So, equation will be

av = constant

HOPE IT HELPS!!

Answer 2

Heya....!!

The equation of continuity expresses the law of conservation of mass in Fluid dynamics.

a1v1 = a2v2

In general av = constant (k ) . This is called equation of continuity and states that as the area of cross section of the tube of flow becomes bigger ,, the liquids ( fluid ) speed becomes smaller and Vice versa.

..eg ..

1. Velocity of liquid is greater in narrow tube as compared to velocity of liquid in broader tube .



Hope it helps u ☺