Storage during End of Time Interval in Continuity Equation for Reach Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
S2 = ((I2+I1)/2)*Δt-((Q2+Q1)/2)*Δt+S1
This formula uses 7 Variables
Variables Used
Storage at the End of Time Interval - Storage at the End of Time Interval is the amount of water stored in reservoirs within the system of hydrological cycle at the end of the time.
Inflow at the End of Time Interval - (Measured in Cubic Meter per Second) - Inflow at the End of Time Interval is the amount of water entering a body of water at the end of the time.
Inflow at the Beginning of Time Interval - (Measured in Cubic Meter per Second) - Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time.
Time Interval - (Measured in Second) - Time Interval is the amount of time required for the change from the initial to the final state.
Outflow at the End of Time Interval - (Measured in Cubic Meter per Second) - Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time.
Outflow at the Beginning of Time Interval - (Measured in Cubic Meter per Second) - Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the time.
Storage at the Beginning of Time Interval - Storage at the Beginning of Time Interval is the amount of water stored in reservoirs within the system of the hydrological cycle at the start of the time. Make Validation type greater than zero.
STEP 1: Convert Input(s) to Base Unit
Inflow at the End of Time Interval: 65 Cubic Meter per Second --> 65 Cubic Meter per Second No Conversion Required
Inflow at the Beginning of Time Interval: 55 Cubic Meter per Second --> 55 Cubic Meter per Second No Conversion Required
Time Interval: 5 Second --> 5 Second No Conversion Required
Outflow at the End of Time Interval: 64 Cubic Meter per Second --> 64 Cubic Meter per Second No Conversion Required
Outflow at the Beginning of Time Interval: 48 Cubic Meter per Second --> 48 Cubic Meter per Second No Conversion Required
Storage at the Beginning of Time Interval: 15 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S2 = ((I2+I1)/2)*Δt-((Q2+Q1)/2)*Δt+S1 --> ((65+55)/2)*5-((64+48)/2)*5+15
Evaluating ... ...
S2 = 35
STEP 3: Convert Result to Output's Unit
35 --> No Conversion Required
FINAL ANSWER
35 <-- Storage at the End of Time Interval
(Calculation completed in 00.004 seconds)

Credits

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

Hydrologic Channel Routing Calculators

Storage in Beginning of Time Interval
​ LaTeX ​ 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)))
Total Wedge Storage in Channel Reach
​ LaTeX ​ 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
​ LaTeX ​ Go Total Storage in Channel Reach = Constant K*Outflow Rate
Outflow given Linear Storage
​ LaTeX ​ Go Outflow Rate = Total Storage in Channel Reach/Constant K

Storage during End of Time Interval in Continuity Equation for Reach Formula

​LaTeX ​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
S2 = ((I2+I1)/2)*Δt-((Q2+Q1)/2)*Δt+S1

What is Routing in Civil Engineering?

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.

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 Storage during End of Time Interval in Continuity Equation for Reach?

Storage during End of Time Interval in Continuity Equation for Reach calculator uses 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 to calculate the Storage at the End of Time Interval, The Storage during End of Time Interval in Continuity Equation for Reach formula is defined as the storage capacity of the reach where water in the system resides or "rests" as it moves from one water reservoir to another. Storage at the End of Time Interval is denoted by S2 symbol.

How to calculate Storage during End of Time Interval in Continuity Equation for Reach using this online calculator? To use this online calculator for Storage during End of Time Interval in Continuity Equation for Reach, enter Inflow at the End of Time Interval (I2), Inflow at the Beginning of Time Interval (I1), Time Interval (Δt), Outflow at the End of Time Interval (Q2), Outflow at the Beginning of Time Interval (Q1) & Storage at the Beginning of Time Interval (S1) and hit the calculate button. Here is how the Storage during End of Time Interval in Continuity Equation for Reach calculation can be explained with given input values -> 35 = ((65+55)/2)*5-((64+48)/2)*5+15.

FAQ

What is Storage during End of Time Interval in Continuity Equation for Reach?
The Storage during End of Time Interval in Continuity Equation for Reach formula is defined as the storage capacity of the reach where water in the system resides or "rests" as it moves from one water reservoir to another and is represented as S2 = ((I2+I1)/2)*Δt-((Q2+Q1)/2)*Δt+S1 or 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. Inflow at the End of Time Interval is the amount of water entering a body of water at the end of the time, Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time, Time Interval is the amount of time required for the change from the initial to the final state, Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time, Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the time & Storage at the Beginning of Time Interval is the amount of water stored in reservoirs within the system of the hydrological cycle at the start of the time. Make Validation type greater than zero.
How to calculate Storage during End of Time Interval in Continuity Equation for Reach?
The Storage during End of Time Interval in Continuity Equation for Reach formula is defined as the storage capacity of the reach where water in the system resides or "rests" as it moves from one water reservoir to another is calculated using 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. To calculate Storage during End of Time Interval in Continuity Equation for Reach, you need Inflow at the End of Time Interval (I2), Inflow at the Beginning of Time Interval (I1), Time Interval (Δt), Outflow at the End of Time Interval (Q2), Outflow at the Beginning of Time Interval (Q1) & Storage at the Beginning of Time Interval (S1). With our tool, you need to enter the respective value for Inflow at the End of Time Interval, Inflow at the Beginning of Time Interval, Time Interval, Outflow at the End of Time Interval, Outflow at the Beginning of Time Interval & Storage at the Beginning of Time Interval 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 Storage at the End of Time Interval?
In this formula, Storage at the End of Time Interval uses Inflow at the End of Time Interval, Inflow at the Beginning of Time Interval, Time Interval, Outflow at the End of Time Interval, Outflow at the Beginning of Time Interval & Storage at the Beginning of Time Interval. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!