Discharge at Initial Time Calculator

✖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 at Time t [Q_t]			+10% -10%
✖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.ⓘ Recession Constant [K_r]			+10% -10%
✖Time is the continued sequence of existence and events that occurs in an irreversible succession from the past to the present and future.ⓘ Time [t]			+10% -10%

✖Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.ⓘ Discharge at Initial Time [Q₀]

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Formula

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Discharge at Initial Time

Formula

`"Q"_{"0"} = "Q"_{"t"}/("K"_{"r"}^"t")`

Example

`"49.99843m³/s"="1.4162m³/s"/(("0.1683")^"2s")`

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Discharge at Initial Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge at Time t=0 = Discharge at Time t/(Recession Constant^Time)
Q₀ = Q_t/(K_r^t)
This formula uses 4 Variables

Variables Used

Discharge at Time t=0 - (Measured in Cubic Meter per Second) - Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.
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.
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.
Time - (Measured in Second) - Time is the continued sequence of existence and events that occurs in an irreversible succession from the past to the present and future.

STEP 1: Convert Input(s) to Base Unit

Discharge at Time t: 1.4162 Cubic Meter per Second --> 1.4162 Cubic Meter per Second No Conversion Required
Recession Constant: 0.1683 --> No Conversion Required
Time: 2 Second --> 2 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q₀ = Q_t/(K_r^t) --> 1.4162/(0.1683^2)

Evaluating ... ...

Q₀ = 49.9984289435899

STEP 3: Convert Result to Output's Unit

49.9984289435899 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

49.9984289435899 ≈ 49.99843 Cubic Meter per Second <-- Discharge at Time t=0

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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NSS College of Engineering (NSSCE), Palakkad

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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 at Initial Time Formula

Discharge at Time t=0 = Discharge at Time t/(Recession Constant^Time)
Q₀ = Q_t/(K_r^t)

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 at Initial Time?

Discharge at Initial Time calculator uses Discharge at Time t = Discharge at Time t/(Recession Constant^Time) to calculate 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 calculate Discharge at Initial Time using this online calculator? To use this online calculator for Discharge at Initial Time, enter Discharge at Time t (Q_t), Recession Constant (K_r) & Time (t) and hit the calculate button. Here is how the Discharge at Initial Time calculation can be explained with given input values -> 49.99843 = 1.4162/(0.1683^2).

FAQ

What is Discharge at Initial Time?

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 and is represented as Q₀ = Q_t/(K_r^t) or Discharge at Time t = Discharge at Time t/(Recession Constant^Time). 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, 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 & Time is the continued sequence of existence and events that occurs in an irreversible succession from the past to the present and future.

How to calculate Discharge at Initial Time?

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 is calculated using Discharge at Time t = Discharge at Time t/(Recession Constant^Time). To calculate Discharge at Initial Time, you need Discharge at Time t (Q_t), Recession Constant (K_r) & Time (t). With our tool, you need to enter the respective value for Discharge at Time t, Recession Constant & Time 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=0?

In this formula, Discharge at Time t=0 uses Discharge at Time t, Recession Constant & Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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