Discharge given Storage Calculator

✖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.ⓘ Total Storage in Channel Reach [S]			+10% -10%
✖Constant 'a' for Discharge in Exponential Decay. A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.ⓘ Constant 'a' for Discharge in Exponential Decay [a]			+10% -10%

✖Discharge at Time t is the volumetric flow rate of a stream, which volume of water flowing per rate of time at any time t.ⓘ Discharge given Storage [Q_t]

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Discharge given Storage

Formula

`"Q"_{"t"} = "S"*"a"`

Example

`"178.2m³/s"="100m³"*"1.782"`

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Discharge given Storage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge at Time t = Total Storage in Channel Reach*Constant 'a' for Discharge in Exponential Decay
Q_t = S*a
This formula uses 3 Variables

Variables Used

Discharge at Time t - (Measured in Cubic Meter per Second) - Discharge at Time t is the volumetric flow rate of a stream, which volume of water flowing per rate of time at any time t.
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 'a' for Discharge in Exponential Decay - Constant 'a' for Discharge in Exponential Decay. A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

STEP 1: Convert Input(s) to Base Unit

Total Storage in Channel Reach: 100 Cubic Meter --> 100 Cubic Meter No Conversion Required
Constant 'a' for Discharge in Exponential Decay: 1.782 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_t = S*a --> 100*1.782

Evaluating ... ...

Q_t = 178.2

STEP 3: Convert Result to Output's Unit

178.2 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

178.2 Cubic Meter per Second <-- Discharge at Time t

(Calculation completed in 00.004 seconds)

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< 12 Components of a Hydrograph Calculators

Discharge at Initial Time in Alternative Form of Exponential Decay

Go Discharge at Time t=0 = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*Time)

Discharge in Alternative Form of Exponential Decay

Go Discharge at Time t = Discharge at Time t=0*exp(-Constant 'a' for Discharge in Exponential Decay*Time)

Recession Constant for Surface Storage

Go Recession Constant for Surface Storage = Recession Constant/Recession Constant for Interflow*Recession Constant for Baseflow

Recession Constant for Interflow

Go Recession Constant for Interflow = Recession Constant/Recession Constant for Surface Storage*Recession Constant for Baseflow

Recession Constant for Base Flow

Go Recession Constant for Baseflow = Recession Constant/Recession Constant for Surface Storage*Recession Constant for Interflow

Recession Constant

Go Recession Constant = Recession Constant for Surface Storage*Recession Constant for Interflow*Recession Constant for Baseflow

Storage Remaining at any Time t

Go Total Storage in Channel Reach = Discharge at Time t/Constant 'a' for Discharge in Exponential Decay

Discharge given Storage

Go Discharge at Time t = Total Storage in Channel Reach*Constant 'a' for Discharge in Exponential Decay

Discharge at Initial Time

Go Discharge at Time t=0 = Discharge at Time t/(Recession Constant^Time)

Discharge concerning Recession Constant

Go Discharge at Time t = Discharge at Time t=0*Recession Constant^Time

Drainage Area given Time Interval from Peak in Straight-Line Method of Baseflow Separation

Go Drainage Area = (Time Interval/0.83)^(1/0.2)

Time Interval from Peak in Straight-Line method of Baseflow Separation

Go Time Interval = 0.83*Drainage Area^0.2

Discharge given Storage Formula

Discharge at Time t = Total Storage in Channel Reach*Constant 'a' for Discharge in Exponential Decay
Q_t = S*a

What is Baseflow recession?

A Recession curve of streamflow so adjusted that the slope of the curve represents the runoff depletion rate of the groundwater. A curve is formed by the observed hydrograph during prolonged periods of no precipitation

How to Calculate Discharge given Storage?

Discharge given Storage calculator uses Discharge at Time t = Total Storage in Channel Reach*Constant 'a' for Discharge in Exponential Decay to calculate the Discharge at Time t, The Discharge given Storage formula is defined as the fluid flow over a catchment when storage, where water in the system resides or "rests" as it moves from one water reservoir to another, is Established. Discharge at Time t is denoted by Q_t symbol.

How to calculate Discharge given Storage using this online calculator? To use this online calculator for Discharge given Storage, enter Total Storage in Channel Reach (S) & Constant 'a' for Discharge in Exponential Decay (a) and hit the calculate button. Here is how the Discharge given Storage calculation can be explained with given input values -> 50 = 100*1.782.

FAQ

What is Discharge given Storage?

The Discharge given Storage formula is defined as the fluid flow over a catchment when storage, where water in the system resides or "rests" as it moves from one water reservoir to another, is Established and is represented as Q_t = S*a or Discharge at Time t = Total Storage in Channel Reach*Constant 'a' for Discharge in Exponential Decay. 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 'a' for Discharge in Exponential Decay. A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

How to calculate Discharge given Storage?

The Discharge given Storage formula is defined as the fluid flow over a catchment when storage, where water in the system resides or "rests" as it moves from one water reservoir to another, is Established is calculated using Discharge at Time t = Total Storage in Channel Reach*Constant 'a' for Discharge in Exponential Decay. To calculate Discharge given Storage, you need Total Storage in Channel Reach (S) & Constant 'a' for Discharge in Exponential Decay (a). With our tool, you need to enter the respective value for Total Storage in Channel Reach & Constant 'a' for Discharge in Exponential Decay 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 Discharge at Time t?

In this formula, Discharge at Time t uses Total Storage in Channel Reach & Constant 'a' for Discharge in Exponential Decay. We can use 2 other way(s) to calculate the same, which is/are as follows -

Discharge at Time t = Discharge at Time t=0*Recession Constant^Time
Discharge at Time t = Discharge at Time t=0*exp(-Constant 'a' for Discharge in Exponential Decay*Time)

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