 # Continuity Equation (Kinematics and Dynamics of Flow Part-2)

#### When a fluid is moving, it moves such like that its mass remains conserved.

Let us take a stream through which fluid is flowing. According to continuity equation, mass flow rate remains constant For section A-A’ mass is given by Similarly for Section B-B’ By contunity equation mass flow rate at both sections should be same, so  ## Contunity Equation in 3D Contunity eqaution will be If flow is steady, ∂ρ/∂t = 0

(always remember for steady state ∂/∂t = 0)

Contunity Equation becomes: If fluid is incompressible then ρ = constant

contunity equation will become Above equations can be modified according to the conditions given to us in our problems.

#### Velocity of fluid particle

##### Let Vr is the resultant velocity of any particle in ant flow. Let u,v,w be the velocity components in x,y,z direction respectively. Then resultant velociy will be #### Acceleration of fluid particle

Let ax,ay,az are the acceleration in x,y,z, directions respectively ### I hope you like this section. Please share with friends and like my Facebook page and never miss an update.

##### Share the knowledge
Share the knowledge