Mechanical Properties Of Fluids (Physics) Close X

Streamline Flow and Bernoulli?s Principle
• Streamline − Path taken by a fluid particle under a steady flow

The tangent to streamline at any point gives the direction of the flow of liquid at that point.

• Two streamlines do not cross each other.

• Flow rate remains constant throughout the pipe of flow.

Av = Constant

Where,

A − Area of cross-section

v − Velocity of flow

At two points of streamline,

A1v1 = A2v2 [This is called equation of continuity]

• Steady flow is possible only at low speed.

• Turbulent flow − unsteady motion of the elements of the liquid along a zig-zag path

• Critical velocity − limiting value of velocity beyond which the liquid stops flowing as streamline and becomes turbulent

Bernoulli’s Principle

• The sum of pressure energy, kinetic energy, and potential energy per unit mass is always constant for the streamline flow of a non-viscous and incompressible fluid.

Consider,

A1 − Area of cross-section at B

P1 − Pressure at A1

h1 − Height of B

h2 − Height of D

A2 − Area of cross-section at E

P2− Pressure at A2

v1 − Speed at B

v2 − Speed at D

BC = v1Δt

DE = v2Δt

Δt − Time...

You can view only limited content for this topic.