Discharge in Alternative Form of Exponential Decay Calculator

✖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=0 [Q₀]			+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%
✖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 is the volumetric flow rate of a stream, which volume of water flowing per rate of time at any time t.ⓘ Discharge in Alternative Form of Exponential Decay [Q_t]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Components of a Hydrograph Formulas PDF PDF Image

Discharge in Alternative Form of Exponential Decay Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge at Time t = Discharge at Time t=0*exp(-Constant 'a' for Discharge in Exponential Decay*Time)
Q_t = Q₀*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 - (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.
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.
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=0: 50 Cubic Meter per Second --> 50 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

Q_t = Q₀*exp(-a*t) --> 50*exp(-1.782*2)

Evaluating ... ...

Q_t = 1.41626483114406

STEP 3: Convert Result to Output's Unit

1.41626483114406 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.41626483114406 ≈ 1.416265 Cubic Meter per Second <-- Discharge at Time t

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Hydrographs » Components of a Hydrograph » Discharge in Alternative Form of Exponential Decay

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< Components of a Hydrograph Calculators

Discharge at Initial Time in Alternative Form of Exponential Decay

LaTeX 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

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

Discharge at Initial Time

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

Discharge concerning Recession Constant

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

Discharge in Alternative Form of Exponential Decay Formula

LaTeX Go

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

Discharge in Alternative Form of Exponential Decay calculator uses Discharge at Time t = Discharge at Time t=0*exp(-Constant 'a' for Discharge in Exponential Decay*Time) to calculate the Discharge at Time t, The Discharge in Alternative Form of Exponential Decay formula is defined as the total fluid flow or discharge expressed in the form of Exponential Decay. Discharge at Time t is denoted by Q_t symbol.

How to calculate Discharge in Alternative Form of Exponential Decay using this online calculator? To use this online calculator for Discharge in Alternative Form of Exponential Decay, enter Discharge at Time t=0 (Q₀), Constant 'a' for Discharge in Exponential Decay (a) & Time (t) and hit the calculate button. Here is how the Discharge in Alternative Form of Exponential Decay calculation can be explained with given input values -> 18.39397 = 50*exp(-1.782*2).

FAQ

What is Discharge in Alternative Form of Exponential Decay?

The Discharge in Alternative Form of Exponential Decay formula is defined as the total fluid flow or discharge expressed in the form of Exponential Decay and is represented as Q_t = Q₀*exp(-a*t) or Discharge at Time t = Discharge at Time t=0*exp(-Constant 'a' for Discharge in Exponential Decay*Time). Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period, 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 in Alternative Form of Exponential Decay?

The Discharge in Alternative Form of Exponential Decay formula is defined as the total fluid flow or discharge expressed in the form of Exponential Decay is calculated using Discharge at Time t = Discharge at Time t=0*exp(-Constant 'a' for Discharge in Exponential Decay*Time). To calculate Discharge in Alternative Form of Exponential Decay, you need Discharge at Time t=0 (Q₀), 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=0, 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?

In this formula, Discharge at Time t uses Discharge at Time t=0, Constant 'a' for Discharge in Exponential Decay & Time. 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 = Total Storage in Channel Reach*Constant 'a' for Discharge in Exponential Decay

Home

FREE PDFs

🔍 Search