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, P2 = 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
Hydraulics and Pneumatics
ME3492 4th semester Mechanical Dept | 2021 Regulation | 4th Semester Mechanical Dept 2021 Regulation