Discharge at Initial Time in Alternative Form of Exponential Decay Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge at Time t=0 = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*Time)
Q0 = Qt/exp(-a*t)
This formula uses 1 Functions, 4 Variables
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
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.
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.
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
Constant 'a' for Discharge in Exponential Decay: 1.782 --> No Conversion Required
Time: 2 Second --> 2 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q0 = Qt/exp(-a*t) --> 1.4162/exp(-1.782*2)
Evaluating ... ...
Q0 = 49.9977111927575
STEP 3: Convert Result to Output's Unit
49.9977111927575 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
49.9977111927575 49.99771 Cubic Meter per Second <-- Discharge at Time t=0
(Calculation completed in 00.019 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 at Initial Time in Alternative Form of Exponential Decay Formula

Discharge at Time t=0 = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*Time)
Q0 = Qt/exp(-a*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 in Alternative Form of Exponential Decay?

Discharge at Initial Time in Alternative Form of Exponential Decay calculator uses Discharge at Time t = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*Time) to calculate the Discharge at Time t=0, The Discharge at Initial Time in Alternative Form of Exponential Decay formula is defined as the initial fluid flow expressed in terms of Exponential Decay. Discharge at Time t=0 is denoted by Q0 symbol.

How to calculate Discharge at Initial Time in Alternative Form of Exponential Decay using this online calculator? To use this online calculator for Discharge at Initial Time in Alternative Form of Exponential Decay, enter Discharge at Time t (Qt), Constant 'a' for Discharge in Exponential Decay (a) & Time (t) and hit the calculate button. Here is how the Discharge at Initial Time in Alternative Form of Exponential Decay calculation can be explained with given input values -> 3.849631 = 1.4162/exp(-1.782*2).

FAQ

What is Discharge at Initial Time in Alternative Form of Exponential Decay?
The Discharge at Initial Time in Alternative Form of Exponential Decay formula is defined as the initial fluid flow expressed in terms of Exponential Decay and is represented as Q0 = Qt/exp(-a*t) or Discharge at Time t = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*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, 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 & 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 in Alternative Form of Exponential Decay?
The Discharge at Initial Time in Alternative Form of Exponential Decay formula is defined as the initial fluid flow expressed in terms of Exponential Decay is calculated using Discharge at Time t = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*Time). To calculate Discharge at Initial Time in Alternative Form of Exponential Decay, you need Discharge at Time t (Qt), Constant 'a' for Discharge in Exponential Decay (a) & Time (t). With our tool, you need to enter the respective value for Discharge at Time t, Constant 'a' for Discharge in Exponential Decay & 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, Constant 'a' for Discharge in Exponential Decay & 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/(Recession Constant^Time)
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