Rate of Change of Storage Calculator

✖Inflow Rate for a given catchment area is the average volume of incoming water in unit time at any interval of time of the day.ⓘ Inflow Rate [I]			+10% -10%
✖Outflow Rate for a given catchment area in any interval of time is the average volume of outgoing water in unit time.ⓘ Outflow Rate [Q]			+10% -10%

✖Rate of Change of Storage of the region under consideration.ⓘ Rate of Change of Storage [R_ds/dt]

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Formula

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Rate of Change of Storage

Formula

`"R"_{"ds/dt"} = "I"-"Q"`

Example

`"3"="28m³/s"-"25m³/s"`

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Rate of Change of Storage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Change of Storage = Inflow Rate-Outflow Rate
R_ds/dt = I-Q
This formula uses 3 Variables

Variables Used

Rate of Change of Storage - Rate of Change of Storage of the region under consideration.
Inflow Rate - (Measured in Cubic Meter per Second) - Inflow Rate for a given catchment area is the average volume of incoming water in unit time at any interval of time of the day.
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

Inflow Rate: 28 Cubic Meter per Second --> 28 Cubic Meter per Second 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

R_ds/dt = I-Q --> 28-25

Evaluating ... ...

R_ds/dt = 3

STEP 3: Convert Result to Output's Unit

3 --> No Conversion Required

FINAL ANSWER

3 <-- Rate of Change of Storage

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 16 Basic Equations of Flood Routing Calculators

Storage at End of Time Interval of Reservoir

Go Storage at the End of Time Interval = Storage at the Beginning of Time Interval+((Inflow at the Beginning of Time Interval+Inflow at the End of Time Interval)/2)*Time Interval-((Outflow at the Beginning of Time Interval+Outflow at the End of Time Interval)/2)*Time Interval

Change in Storage Denoting Beginning and End of Time Interval concerning Inflow and Outflow

Go Change in Storage Volumes = ((Inflow at the Beginning of Time Interval+Inflow at the End of Time Interval)/2)*Time Interval-((Outflow at the Beginning of Time Interval+Outflow at the End of Time Interval)/2)*Time Interval

Average Outflow in Time given Change in Storage

Go Average Outflow = (Average Inflow*Time Interval-Change in Storage Volumes)/Time Interval

Average Inflow given Change in Storage

Go Average Inflow = (Change in Storage Volumes+Average Outflow*Time Interval)/Time Interval

Change in Storage Denoting Beginning and End of Time Interval

Go Change in Storage Volumes = Storage at the End of Time Interval-Storage at the Beginning of Time Interval

Storage at Beginning of Time Interval

Go Storage at the Beginning of Time Interval = Storage at the End of Time Interval-Change in Storage Volumes

Storage at End of Time Interval

Go Storage at the End of Time Interval = Change in Storage Volumes+Storage at the Beginning of Time Interval

Average Outflow Denoting Beginning and End of Time Interval

Go Average Outflow = (Outflow at the Beginning of Time Interval+Outflow at the End of Time Interval)/2

Outflow at Beginning of Time Interval given Average Inflow

Go Outflow at the Beginning of Time Interval = 2*Average Outflow-Outflow at the End of Time Interval

Outflow at End of Time Interval given Average Inflow

Go Outflow at the End of Time Interval = 2*Average Outflow-Outflow at the Beginning of Time Interval

Average Inflow Denoting at Beginning and End of Time Interval

Go Average Inflow = (Inflow at the Beginning of Time Interval+Inflow at the End of Time Interval)/2

Inflow at Beginning of Time Interval given Average Inflow

Go Inflow at the Beginning of Time Interval = 2*Average Inflow-Inflow at the End of Time Interval

Inflow at End of Time Interval given Average Inflow

Go Inflow at the End of Time Interval = 2*Average Inflow-Inflow at the Beginning of Time Interval

Outflow Rate given Rate of Change of Storage

Go Outflow Rate = Inflow Rate-Rate of Change of Storage

Inflow Rate given Rate of Change of Storage

Go Inflow Rate = Rate of Change of Storage+Outflow Rate

Rate of Change of Storage

Go Rate of Change of Storage = Inflow Rate-Outflow Rate

Rate of Change of Storage Formula

Rate of Change of Storage = Inflow Rate-Outflow Rate
R_ds/dt = I-Q

What is Flood Routing?

Flood routing is a procedure to determine the time and magnitude of flow (i.e., the flow hydrograph) at a point on a watercourse from known or assumed hydrographs at one or more points upstream. The procedure is specifically known as flood routing if the flow is a flood.

How to Calculate Rate of Change of Storage?

Rate of Change of Storage calculator uses Rate of Change of Storage = Inflow Rate-Outflow Rate to calculate the Rate of Change of Storage, The Rate of Change of Storage formula is defined as the equation of continuity used in all hydrologic routings as the difference between the Inflow and Outflow rate. Rate of Change of Storage is denoted by R_ds/dt symbol.

How to calculate Rate of Change of Storage using this online calculator? To use this online calculator for Rate of Change of Storage, enter Inflow Rate (I) & Outflow Rate (Q) and hit the calculate button. Here is how the Rate of Change of Storage calculation can be explained with given input values -> 3 = 28-25.

FAQ

What is Rate of Change of Storage?

The Rate of Change of Storage formula is defined as the equation of continuity used in all hydrologic routings as the difference between the Inflow and Outflow rate and is represented as R_ds/dt = I-Q or Rate of Change of Storage = Inflow Rate-Outflow Rate. Inflow Rate for a given catchment area is the average volume of incoming water in unit time at any interval of time of the day & 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 Rate of Change of Storage?

The Rate of Change of Storage formula is defined as the equation of continuity used in all hydrologic routings as the difference between the Inflow and Outflow rate is calculated using Rate of Change of Storage = Inflow Rate-Outflow Rate. To calculate Rate of Change of Storage, you need Inflow Rate (I) & Outflow Rate (Q). With our tool, you need to enter the respective value for Inflow Rate & Outflow Rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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