Total Wedge Storage in Channel Reach Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Storage in Channel Reach = Constant K*(Coefficient x in the Equation*Inflow Rate^A Constant Exponent+(1-Coefficient x in the Equation)*Outflow Rate^A Constant Exponent)
S = K*(x*I^m+(1-x)*Q^m)
This formula uses 6 Variables
Variables Used
Total Storage in Channel Reach - (Measured in Cubic Meter) - Total Storage in Channel Reach is a section of stream or river along which similar hydrologic conditions exist, such as discharge, depth, area, and slope.
Constant K - Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.
Coefficient x in the Equation - Coefficient x in the Equation of maximum intensity of rainfall in general form in the Muskingum Equation is known as the weighing factor.
Inflow Rate - (Measured in Cubic Meter per Second) - Inflow Rate for a given catchment area in any interval of time is the average volume of incoming water in unit time.
A Constant Exponent - A Constant Exponent varies from 0.6 for rectangular channels to a value of 1.0 for natural channels.
Outflow Rate - (Measured in Cubic Meter per Second) - Outflow Rate for a given catchment area in any interval of time is the average volume of outgoing water in unit time.
STEP 1: Convert Input(s) to Base Unit
Constant K: 4 --> No Conversion Required
Coefficient x in the Equation: 1.8 --> No Conversion Required
Inflow Rate: 28 Cubic Meter per Second --> 28 Cubic Meter per Second No Conversion Required
A Constant Exponent: 0.94 --> No Conversion Required
Outflow Rate: 25 Cubic Meter per Second --> 25 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = K*(x*I^m+(1-x)*Q^m) --> 4*(1.8*28^0.94+(1-1.8)*25^0.94)
Evaluating ... ...
S = 99.1174836121596
STEP 3: Convert Result to Output's Unit
99.1174836121596 Cubic Meter --> No Conversion Required
FINAL ANSWER
99.1174836121596 99.11748 Cubic Meter <-- Total Storage in Channel Reach
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

7 Hydrologic Channel Routing Calculators

Storage in Beginning of Time Interval
Go Storage at the Beginning of Time Interval = Storage at the End of Time Interval-(Constant K*(Coefficient x in the Equation*(Inflow at the End of Time Interval-Inflow at the Beginning of Time Interval)+(1-Coefficient x in the Equation)*(Outflow at the End of Time Interval-Outflow at the Beginning of Time Interval)))
Storage during end of time interval in Muskingum method of Routing
Go Storage at the End of Time Interval = Constant K*(Coefficient x in the Equation*(Inflow at the End of Time Interval-Inflow at the Beginning of Time Interval)+(1-Coefficient x in the Equation)*(Outflow at the End of Time Interval-Outflow at the Beginning of Time Interval))+Storage at the Beginning of Time Interval
Storage during Beginning of Time Interval for Continuity Equation of Reach
Go Storage at the Beginning of Time Interval = Storage at the End of Time Interval+((Outflow at the End of Time Interval+Outflow at the Beginning of Time Interval)/2)*Time Interval-((Inflow at the End of Time Interval+Inflow at the Beginning of Time Interval)/2)*Time Interval
Storage during End of Time Interval in Continuity Equation for Reach
Go Storage at the End of Time Interval = ((Inflow at the End of Time Interval+Inflow at the Beginning of Time Interval)/2)*Time Interval-((Outflow at the End of Time Interval+Outflow at the Beginning of Time Interval)/2)*Time Interval+Storage at the Beginning of Time Interval
Total Wedge Storage in Channel Reach
Go Total Storage in Channel Reach = Constant K*(Coefficient x in the Equation*Inflow Rate^A Constant Exponent+(1-Coefficient x in the Equation)*Outflow Rate^A Constant Exponent)
Equation for Linear Storage or Linear Reservoir
Go Total Storage in Channel Reach = Constant K*Outflow Rate
Outflow given Linear Storage
Go Outflow Rate = Total Storage in Channel Reach/Constant K

Total Wedge Storage in Channel Reach Formula

Total Storage in Channel Reach = Constant K*(Coefficient x in the Equation*Inflow Rate^A Constant Exponent+(1-Coefficient x in the Equation)*Outflow Rate^A Constant Exponent)
S = K*(x*I^m+(1-x)*Q^m)

What is Routing in Civil Engineering and Reserve Routing?

In Hydrology, Routing is a technique used to predict the changes in the shape of a hydrograph as water moves through a river channel or a reservoir. If the water flow at a particular point, A, in a stream is measured over time with a flow gauge, this information can be used to create a hydrograph.
Reservoir routing involves the application of the continuity equation to a storage facility in which the storage volume for a particular geometry is dependent only on the outflow.

What is Muskingum Routing?

The Muskingum routing procedure is used for systems that have Storage - Discharge relationships that are hysteretic. That is, for systems for which the outflow is not a unique function of storage.

How to Calculate Total Wedge Storage in Channel Reach?

Total Wedge Storage in Channel Reach calculator uses Total Storage in Channel Reach = Constant K*(Coefficient x in the Equation*Inflow Rate^A Constant Exponent+(1-Coefficient x in the Equation)*Outflow Rate^A Constant Exponent) to calculate the Total Storage in Channel Reach, The Total Wedge Storage in Channel Reach formula is defined as the wedge-like volume formed between the actual water surface profile and the top surface of the prism storage. Total Storage in Channel Reach is denoted by S symbol.

How to calculate Total Wedge Storage in Channel Reach using this online calculator? To use this online calculator for Total Wedge Storage in Channel Reach, enter Constant K (K), Coefficient x in the Equation (x), Inflow Rate (I), A Constant Exponent (m) & Outflow Rate (Q) and hit the calculate button. Here is how the Total Wedge Storage in Channel Reach calculation can be explained with given input values -> 87.07066 = 4*(1.8*28^0.94+(1-1.8)*25^0.94).

FAQ

What is Total Wedge Storage in Channel Reach?
The Total Wedge Storage in Channel Reach formula is defined as the wedge-like volume formed between the actual water surface profile and the top surface of the prism storage and is represented as S = K*(x*I^m+(1-x)*Q^m) or Total Storage in Channel Reach = Constant K*(Coefficient x in the Equation*Inflow Rate^A Constant Exponent+(1-Coefficient x in the Equation)*Outflow Rate^A Constant Exponent). Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment, Coefficient x in the Equation of maximum intensity of rainfall in general form in the Muskingum Equation is known as the weighing factor, Inflow Rate for a given catchment area in any interval of time is the average volume of incoming water in unit time, A Constant Exponent varies from 0.6 for rectangular channels to a value of 1.0 for natural channels & Outflow Rate for a given catchment area in any interval of time is the average volume of outgoing water in unit time.
How to calculate Total Wedge Storage in Channel Reach?
The Total Wedge Storage in Channel Reach formula is defined as the wedge-like volume formed between the actual water surface profile and the top surface of the prism storage is calculated using Total Storage in Channel Reach = Constant K*(Coefficient x in the Equation*Inflow Rate^A Constant Exponent+(1-Coefficient x in the Equation)*Outflow Rate^A Constant Exponent). To calculate Total Wedge Storage in Channel Reach, you need Constant K (K), Coefficient x in the Equation (x), Inflow Rate (I), A Constant Exponent (m) & Outflow Rate (Q). With our tool, you need to enter the respective value for Constant K, Coefficient x in the Equation, Inflow Rate, A Constant Exponent & Outflow Rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Total Storage in Channel Reach?
In this formula, Total Storage in Channel Reach uses Constant K, Coefficient x in the Equation, Inflow Rate, A Constant Exponent & Outflow Rate. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Total Storage in Channel Reach = Constant K*Outflow Rate
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!