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ES-6

Copyright © 2021 Theodore G. Cleveland

Purpose:

Demonstrate flow-equalization volume required for a storage tank to leverage some constant flow rate.

  • Analyze daily water cumulative demand (from time varying outflows)
  • Find equivalent constant draw rate
  • Use double mass curve concept to find maximum deviations to size an equalization tank.

Problem Data

Figure 1 is a plot of variable cumulative inflow volume versus time for a proposed flow-equalization tank location and the equivalent constant rate inflow for the same location.

Figure 1. Time-varying water demand (cumulative) and constant-rate equivalent demand

Table 1 is a list of time and cumulative volume inflow (same as the graph). A flow-equalization storage tank volume is to be determined.



Table 1. Variable Draft Table for Flow Equalization

Using the supplied problem data (either graph or table or both):

  1. Determine the cumulative volume of inflow (or draft) every 24 hours plotted on Figure 1 and tabulated in Table 1.
  2. Determine the constant flow rate (cubic feet per hour) from the constant drawdown curve plotted on Figure 1 and tabulated in Table 1.
  3. Determine the largest maximum absolute deviation between the constant drawdown line and the variable inflow curve indicated by Figure 1 and/or Table 1
  4. Determine the second largest maximum absolute deviation between the constant drawdown line and the variable inflow curve indicated by Figure 4 and/or Table 1
  5. Determine a recommended flow equalization storage volume indicated by Figure 4 and/or Table 1

Deliverables:

A brief report with your solution, showing the requested values, intermediate calculations, and the recomended equalization storage requirement.

References

  1. Gupta, R. S. 2017. Hydrology and Hydraulic Systems. Waveland Press, Inc. pp. 548-552
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