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Discharge given Storage Formula

GoDischarge concerning Recession Constant Formula

GoDischarge in Alternative Form of Exponential Decay Formula

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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. Check FAQs

Q t = S \cdot a

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

Discharge given Storage Example

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Here is how the Discharge given Storage equation looks like with Values.

Here is how the Discharge given Storage equation looks like with Units.

Here is how the Discharge given Storage equation looks like.

178.2 = 100 \cdot 1.782

178.2m³/s = 100m³ \cdot 1.782

178.2 = 100 \cdot 1.782

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Discharge given Storage Solution

Follow our step by step solution on how to calculate Discharge given Storage?

FIRST Step Consider the formula

Q t = S \cdot a

Next Step Substitute values of Variables

∴

Q t = 100m³ \cdot 1.782

Next Step Prepare to Evaluate

∴

Q t = 100 \cdot 1.782

LAST Step Evaluate

∴

Q t = 178.2m³/s

Discharge given Storage Formula Elements

Variables

Discharge at Time t

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.

Symbol: Q_t

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge at Time t

Total Storage in Channel Reach

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.

Symbol: S

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Total Storage in Channel Reach

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.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant 'a' for Discharge in Exponential Decay

Other Formulas to find Discharge at Time t

Go Discharge concerning Recession Constant

Q t = Q 0 \cdot {K r}^{t}

Go Discharge in Alternative Form of Exponential Decay

Q t = Q 0 \cdot \exp (- a \cdot t)

Other formulas in Components of a Hydrograph category

Go Discharge at Initial Time

Q 0 = \frac{Q t}{{K r}^{t}}

Go Discharge at Initial Time in Alternative Form of Exponential Decay

Q 0 = \frac{Q t}{\exp (- a \cdot t)}

Go Recession Constant

K r = K rs \cdot K ri \cdot K rb

Go Recession Constant for Surface Storage

K rs = \frac{K r}{K ri} \cdot K rb

How to Evaluate Discharge given Storage?

Discharge given Storage evaluator uses Discharge at Time t = Total Storage in Channel Reach*Constant 'a' for Discharge in Exponential Decay to evaluate 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 evaluate Discharge given Storage using this online evaluator? To use this online evaluator for Discharge given Storage, enter Total Storage in Channel Reach (S) & Constant 'a' for Discharge in Exponential Decay (a) and hit the calculate button.

FAQs on Discharge given Storage

What is the formula to find Discharge given Storage?

The formula of Discharge given Storage is expressed as Discharge at Time t = Total Storage in Channel Reach*Constant 'a' for Discharge in Exponential Decay. Here is an example- 50 = 100*1.782.

How to calculate Discharge given Storage?

With Total Storage in Channel Reach (S) & Constant 'a' for Discharge in Exponential Decay (a) we can find Discharge given Storage using the formula - Discharge at Time t = Total Storage in Channel Reach*Constant 'a' for Discharge in Exponential Decay.

What are the other ways to Calculate Discharge at Time t?

Here are the different ways to Calculate Discharge at Time t-

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)

Can the Discharge given Storage be negative?

No, the Discharge given Storage, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge given Storage?

Discharge given Storage is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge given Storage can be measured.

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