Correction factor for kinetic energy in flow

The correction factor for kinetic energy in flow is an important parameter that helps in understanding the energy loss in a fluid system. In a fluid flow, the kinetic energy correction factor is directly related to the velocity profile of the flow.

Velocity profile in a fluid flow

In the given scenario, the velocity is zero over 1/3 of cross-section and is uniform over the remaining 2/3 of the cross-section. This means that the velocity profile of the fluid flow is not uniform, and there is a change in velocity across the cross-section of the flow.

Calculation of correction factor for kinetic energy

The correction factor for kinetic energy can be calculated using the following formula:

K.E. Correction Factor (K) = 1 + (2/3)(1 - (u1/u2))

Where u1 is the velocity at the center of the flow where the velocity is zero, and u2 is the velocity at the edge of the flow where the velocity is uniform.

Substituting the values given in the problem, we get:

K = 1 + (2/3)(1 - 0)

K = 1 + (2/3)

K = 5/3

Therefore, the correction factor for kinetic energy in the given flow is 5/3.

Conclusion

The correction factor for kinetic energy is an important parameter that helps to understand the energy loss in a fluid system. In the given scenario, the velocity profile of the fluid flow is not uniform, and the correction factor for kinetic energy is calculated using the formula. The calculated correction factor for kinetic energy is 5/3.