Home » Mechanical Engineering » Hydraulics and Fluid Mechanics

Error propagation for triangular notch (V-notch): effect of head-reading error on discharge If the head over the notch apex is H, how much percentage error in discharge occurs for a 1% error in H? Choose the correct value.

Q: Error propagation for triangular notch (V-notch): effect of head-reading error on discharge If the head over the notch apex is H, how much percentage error in discharge occurs for a 1% error in H? Choose the correct value.

Concept/Approach For a triangular (V) notch, discharge Q ∝ H5/2. Step-by-step Relative error: dQ/Q = (5/2) × dH/H.For dH/H = 1% → dQ/Q = 2.5%. Final Answer 2.5%

Difficulty: Easy

1%
1.5%
2%
2.5%

Correct Answer: 2.5%

Explanation:

Concept/Approach

For a triangular (V) notch, discharge Q ∝ H^5/2.

Step-by-step
Relative error: dQ/Q = (5/2) × dH/H.For dH/H = 1% → dQ/Q = 2.5%.

Final Answer
2.5%

← Previous Question Next Question→

More Questions from Hydraulics and Fluid Mechanics

Pressure terminology: values below atmospheric What is the name given to pressure less than atmospheric? Choose the correct option.
Use of bulk modulus in dimensionless numbers The value of bulk modulus of a fluid (or equivalently speed of sound) is required to evaluate which engineering number? Choose the correct option.
Reynolds number for a ship: dependence on velocity and length For a ship moving in water, consider Reynolds number Re = (V × L) / ν, where V is velocity, L is a characteristic length and ν is kinematic viscosity. Complete the statement about how Re varies with the ship's velocity and length.
Fluid mechanics: coefficient of discharge for an external mouthpiece For a sharp-edged external mouthpiece (running free), identify the standard coefficient of discharge value used in calculations. Choose the correct numerical value.
Venturimeter: velocity at the throat versus at the inlet In a venturimeter working under full-bore flow, compare the fluid velocity at the throat with the velocity at the inlet. Choose the correct relation.
Laminar flow in a circular pipe: friction factor dependence on Reynolds number For viscous (laminar) flow in a pipe of uniform diameter, the Darcy friction factor varies as which function of the Reynolds number R_N? Choose the correct expression.
Coefficient of contraction for an orifice Define the coefficient of contraction C_c for a sharp-edged orifice in terms of areas. Choose the correct ratio.
Floating body stability: response to a small angular displacement A floating body is given a small angular displacement and returns to its original position. Identify the equilibrium classification. Choose the correct option.
Power transmitted through a pipeline with head loss Let w be the specific weight (N/m³), Q the discharge (m³/s), H the supply head and h_f the frictional head loss. Select the correct expression for the power delivered at the outlet.
Examples of laminar (low Reynolds number) flow Identify which of the following are classic examples of laminar flow regimes. Choose the correct option.

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion