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Discharge at Initial Time Formula

GoDischarge at Initial Time in Alternative Form of Exponential Decay Formula

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Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period. Check FAQs

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

Q₀ - Discharge at Time t=0?Q_t - Discharge at Time t?K_r - Recession Constant?t - Time?

Discharge at Initial Time Example

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Here is how the Discharge at Initial Time equation looks like with Values.

Here is how the Discharge at Initial Time equation looks like with Units.

Here is how the Discharge at Initial Time equation looks like.

49.9984 = \frac{1.4162}{{0.1683}^{2}}

49.9984m³/s = \frac{1.4162m³/s}{{0.1683}^{2s}}

49.9984 = \frac{1.4162}{{0.1683}^{2}}

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Discharge at Initial Time Solution

Follow our step by step solution on how to calculate Discharge at Initial Time?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q 0 = \frac{1.4162m³/s}{{0.1683}^{2s}}

Next Step Prepare to Evaluate

∴

Q 0 = \frac{1.4162}{{0.1683}^{2}}

Next Step Evaluate

∴

Q 0 = 49.9984289435899m³/s

LAST Step Rounding Answer

∴

Q 0 = 49.9984m³/s

Discharge at Initial Time Formula Elements

Variables

Discharge at Time t=0

Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.

Symbol: Q₀

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge at Time t=0

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

Recession Constant

Recession Constant is the ratio of discharge after the unit time step of some specific initial discharge to specific initial discharge, provided both discharges are along the same straight segment.

Symbol: K_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Recession Constant

Time

Time is the continued sequence of existence and events that occurs in an irreversible succession from the past to the present and future.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time

Other Formulas to find Discharge at Time t=0

Go Discharge at Initial Time in Alternative Form of Exponential Decay

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

Other formulas in Components of a Hydrograph category

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)

Go Discharge given Storage

Q t = S \cdot a

Go Recession Constant

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

How to Evaluate Discharge at Initial Time?

Discharge at Initial Time evaluator uses Discharge at Time t = Discharge at Time t/(Recession Constant^Time) to evaluate the Discharge at Time t=0, The Discharge at Initial Time formula is defined as the total fluid flow at the initial time when total discharge at any instant t is established. Discharge at Time t=0 is denoted by Q₀ symbol.

How to evaluate Discharge at Initial Time using this online evaluator? To use this online evaluator for Discharge at Initial Time, enter Discharge at Time t (Q_t), Recession Constant (K_r) & Time (t) and hit the calculate button.

FAQs on Discharge at Initial Time

What is the formula to find Discharge at Initial Time?

The formula of Discharge at Initial Time is expressed as Discharge at Time t = Discharge at Time t/(Recession Constant^Time). Here is an example- 49.99843 = 1.4162/(0.1683^2).

How to calculate Discharge at Initial Time?

With Discharge at Time t (Q_t), Recession Constant (K_r) & Time (t) we can find Discharge at Initial Time using the formula - Discharge at Time t = Discharge at Time t/(Recession Constant^Time).

What are the other ways to Calculate Discharge at Time t=0?

Here are the different ways to Calculate Discharge at Time t=0-

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

Can the Discharge at Initial Time be negative?

No, the Discharge at Initial Time, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge at Initial Time?

Discharge at Initial Time 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 at Initial Time can be measured.

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Discharge at Initial Time Formula

​GoDischarge at Initial Time in Alternative Form of Exponential Decay Formula

Discharge at Initial Time Example

Discharge at Initial Time Solution

Discharge at Initial Time Formula Elements

Other Formulas to find Discharge at Time t=0

Other formulas in Components of a Hydrograph category

How to Evaluate Discharge at Initial Time?

FAQs on Discharge at Initial Time

Variable Name

GoDischarge at Initial Time in Alternative Form of Exponential Decay Formula