Application of specific energy and momentum function - Coursework Example

Application of specific energy and momentum function Discussion With the underlying downstream and corresponding discharge, the upstream depth that is y2 and y3 are taken as the alternate depths possessing similar specific energy. As the sluice gate is raised, y2 approaches the corresponding y3 and E is minimized occur under the maximum discharge for the given energy (Kiselev, Fomin & Vorozhtsov, 1999). Moreover, short, smooth step with a rise change in y within the channel (∆y), y2 used the alternate depth possible given the upstream and the discharge.

When short, smooth step with the maximum rise in the change of y (∆y) within the channel and the step is escalated further y2 increases. Conversely, the increase, in short, smooth step with the change in y within the channel and with the given upstream depth and corresponding discharge, y3 is increased. Y3 is increased due to the expansion and energy loss. A hydraulic jump is utilized for energy dissipation that occurs when the flows transitions from the supercritical to corresponding subcritical mainly due to the spillway and the steep slope to the mild slope.

The depth of water downstream from the jump and the location of the jump are computed using the conservation of energy equation (Kiselev, Fomin & Vorozhtsov, 1999). It is expected from y1 that the depth of water to escalate as the specific energy of the prevailing reduces slowly. Moreover, the alternate depths at which the specific energies ought to be identical. Nevertheless, the values collected does not depict that as the underlying values were not adequate to produce the correct and expected graph thus the association was not represented as anticipated.

The prevailing graphs derived from the depths of the flow, and corresponding specific energy at the section depicts that the depth escalates as the time elapses linearly with the specific energy indicating that the two underlying variables are linearly associated. Conclusion The percentage relative head loss for the underlying theoretical outcomes is relatively higher than the corresponding practical percentage relative to the head loss.

The difference is due to the depth of water subsequent to the hydraulic jump that was higher than that of the underlying experimental values. The energy is lost because of the turbulent flow implying that the real water depth is relatively lower than prevailing theoretical computations. The trend line depicts the positive correlation amidst the escalation of the Froude number and corresponding y3/y1 values. The experiment was undertaken under the controlled situations in order to explain the underlying phenomena of the flow via weirs and the features of the resultants.

The errors emanated from the individual, misinterpretation of the prevailing depth of water, miscomputation of the existing opening below the gate, equipment error and the turbulent flow inflowing pipe. Human errors might have occurred in entering incorrect booking of results mainly from reading the underlying values off the scale thus causing errors in the gathered results. Misreading of the existing depth of water errors occurred due to the reading wrong value of the height of the flow of the water utilizing the attached scale on the distinct flume.

Miscomputation of the opening below the gate as the measurement of the height of the gate was undertaken in the time slot. Error in the equipment resulted due to the use of the digital flow meter in the recording the flow within the pipe and thus within the open channel. The flow meter of the digital flow meter depicts the minute of alteration of flow was not observed since the digital meter takes instant readings. Turbulent Flow entering the pipe formed the foam baffle at the prevailing exists of the underlying flow input pipe.

Moreover, the baffle absorbs the energy from the corresponding pipe in order to attain horizontal flow within the channel.ReferenceKiselev, S. P., Fomin, V. M., & Vorozhtsov, E. V. (1999). Foundations of fluid mechanics with applications: Problem solving using Mathematica. Boston [u.a.: Birkhäuser.