Hydraulics and Pneumatics: Unit I: Fluid Power Priniciples and Hydraulic Pumps

Continuity Equation

Fluid Power Priniciples and Hydraulic Pumps - Hydraulics and Pneumatics

The continuity equation is based on the principle of conservation of mass. It states as follows:

CONTINUITY EQUATION

The continuity equation is based on the principle of conservation of mass. It states as follows:

"If no fluid is added or removed from the pipe in any length then the mass passing across different sections shall be same.”

Illustrations : Consider three cross-sections of a pipe as shown in Fig.3.14.


Let

A1 = Area of section 1-1,

V1 = Velocity of the fluid at section 1-1,

ρ1 = Density of the fluid at section 1-1,

A2, V2, P= Corresponding values at section 2-2, and

A3, V3, P3 = Corresponding values at section 3–3.

Applying the law of conservation of mass, we have

ρ1 A1 V1 = ρ2 A2 V2 = ρ3 A3 V3

In case of incompressible fluid,

ρ1 = ρ2 = ρ3

⸫ A1 V1 = A2 V2 = A3 V3           ... (3.19)

Equation (3.19) is called the continuity equation for incompressible fluids.

Hydraulics and Pneumatics: Unit I: Fluid Power Priniciples and Hydraulic Pumps : Tag: : Fluid Power Priniciples and Hydraulic Pumps - Hydraulics and Pneumatics - Continuity Equation


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Hydraulics and Pneumatics

ME3492 4th semester Mechanical Dept | 2021 Regulation | 4th Semester Mechanical Dept 2021 Regulation