If velocity is zero over l/3rd of a cross-section and is uniform over remaining 2/3rd of the cross-section, then the correction factor for kinetic energy is__________________?
Show answer Hide answer
Answer: C. 9/4
Explanation
Calculating the kinetic energy correction factor using the specified velocity profile yields 9/4. Kinetic energy correction accounts for non-uniform velocity distributions in energy equation analyses. Integrating the cubic velocity distribution across the segmented cross-section produces 9/4. Kinetic energy correction coefficients, known as alpha, adjust convective term calculations in Bernoulli equations. Non-uniform velocity profiles mean true kinetic energy flux exceeds the value calculated using mean velocity. Cross-sectional integration sums kinetic energy contributions across all distinct velocity zones.
Hydraulic engineers apply kinetic energy correction factors when analyzing turbine and pump efficiency. Precise energy balance calculations ensure accurate head loss evaluations in open channel flow. Understanding velocity profiles is essential for advanced fluid machinery and pipeline design. A correction factor of 4/3 underestimates the kinetic energy distribution for this step profile. Stating 3/2 incorrectly calculates the integrated energy coefficient for the given velocity variation. A factor of 27/8 overestimates the theoretical kinetic energy correction value for the section.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
Related questions
Q1. If a liquid-filled container descends with a constant downward acceleration equal to g, what occurs_____________?
Show answer Hide answer
Answer: A. the pressure throughout the liquid mass is atmospheric
Descending with a downward acceleration equal to gravity makes fluid particles completely weightless. When container acceleration matches gravity, the effective vertical pressure gradient drops to zero everywhere. Zero p...
Q2. If velocity is zero across half of the cross-sectional area and constant over the other half, what is the momentum correction factor_______________?
Show answer Hide answer
Answer: C. 2
Integrating velocity profile variations across the cross-sectional area yields a momentum correction factor of 2. Momentum correction accounts for non-uniform velocity distribution across pipe or channel sections. Applyi...
Q3. If a 1 cm diameter sphere drops through castor oil (kinematic viscosity 10 stokes) at a terminal velocity of 1.5 cm/sec, what is the drag coefficient on the sphere________________?
Show answer Hide answer
Answer: C. 160
Combining terminal velocity, sphere diameter, and kinematic viscosity via Stokes law yields one sixty. Drag coefficient normalizes fluid resistance forces against dynamic pressure and cross-sectional area. Kinematic visc...
Q4. During a forced vortex rotation, how is the flow velocity defined________________?
Show answer Hide answer
Answer: A. directly proportional to its radial distance from axis of rotation
In forced vortex rotation, fluid rotates as a solid body where tangential velocity is proportional to radius. Multiplying angular velocity by radial distance gives the linear tangential velocity at any point. Solid-body...
Q5. In a Sutro weir, discharge varies in direct proportion to________________?
Show answer Hide answer
Answer: D. H
A Sutro weir is specially profiled so that discharge varies in direct linear proportion to head H. The curved notch geometry of a Sutro weir compensates for non-linear head-discharge relationships. Linear proportionality...
Q6. If a fluid possesses a dynamic viscosity of 0.5 poise and a specific gravity of 0.5, what is its kinematic viscosity expressed in stokes__________________?
Show answer Hide answer
Answer: C. 1.0
Kinematic viscosity is dynamic viscosity divided by fluid mass density. Specific gravity of zero point five yields a density of five hundred kilograms per cubic meter. Dividing zero point five poise by density results in...