In the Muskingum method of channel routing if x= 0.5, it represents an...
Muskingum method of channel routing and its parameters
The Muskingum method is a widely used method for channel routing in hydrology. It considers the time of concentration, storage and travel time of water in a channel. The method uses three parameters: K, X, and Dt.
- K is the storage coefficient, which represents the degree of storage in the channel. It is related to the channel roughness and geometry.
- X is the weighting coefficient, which represents the proportion of inflow hydrograph at the current time step and the proportion of outflow hydrograph from the previous time step.
- Dt is the time step for the calculation.
Effect of x=0.5 on outflow hydrograph
When X=0.5, it means that half of the inflow hydrograph at the current time step is combined with half of the outflow hydrograph from the previous time step to generate the outflow hydrograph for the current time step.
- Option A: If x=0.5, it represents an outflow hydrograph that has reduced peak. This is because the outflow hydrograph is a combination of the inflow hydrograph and the outflow hydrograph from the previous time step, with equal weighting. This reduces the peak of the outflow hydrograph compared to the inflow hydrograph.
- Option B: If x>0.5, it represents an outflow hydrograph with an amplified peak. This is because the outflow hydrograph is dominated by the outflow hydrograph from the previous time step, which amplifies the peak.
- Option C: If x=1, it represents an outflow hydrograph that is exactly the same as the inflow hydrograph. This is because the outflow hydrograph is entirely based on the inflow hydrograph at the current time step, with no consideration of the outflow hydrograph from the previous time step.
- Option D: If x<0.5, it="" represents="" an="" outflow="" hydrograph="" with="" a="" peak="" which="" is="" smaller="" than="" half="" of="" the="" inflow="" peak.="" this="" is="" because="" the="" outflow="" hydrograph="" is="" dominated="" by="" the="" inflow="" hydrograph="" at="" the="" current="" time="" step,="" which="" reduces="" the="" peak.="">0.5,>
Conclusion
In summary, when x=0.5 in the Muskingum method of channel routing, it represents an outflow hydrograph that has reduced peak compared to the inflow hydrograph. This is because the outflow hydrograph is a combination of the inflow hydrograph and the outflow hydrograph from the previous time step, with equal weighting.
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).