Govt. Exams
Entrance Exams
Critical or sonic conditions occur at Mach number = 1.0, where velocity equals the speed of sound in the fluid.
The H-Q (head vs flow rate) curve is the primary pump characteristic curve that shows how head decreases as flow rate increases.
Cavitation occurs when NPSH available < NPSH required. Here 4.5 > 3.2, so cavitation is prevented and pump operates safely.
Peripheral speed = πDN/60 = π × 0.3 × 1500/60 = 23.56 m/s
Pressure drop (Δp) is proportional to friction factor which increases with pipe roughness. From Hagen-Poiseuille and Darcy equations, rougher pipes cause higher friction losses.
Reynolds number (Re) = inertial forces/viscous forces. It is the fundamental dimensionless number in fluid mechanics.
Reynolds number = (ρVD)/μ = VD/ν = (2 × 0.05)/(1×10⁻⁵) = 10,000. Flow is turbulent for Re > 4,000.
Displacement = π/4 × D² × L = π/4 × (0.1)² × 0.2 = 0.00157 m³ per revolution
Reynolds number (Re = ρVD/μ) represents the ratio of inertial to viscous forces
For laminar flow in circular pipes, v_avg = v_max/2, so the ratio is 0.5