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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
Qt=Q0⋅exp(-a⋅t)
Qt - Discharge at Time t?Q0 - Discharge at Time t=0?a - Constant 'a' for Discharge in Exponential Decay?t - Time?

Discharge in Alternative Form of Exponential Decay Example

With values
With units
Only example

Here is how the Discharge in Alternative Form of Exponential Decay equation looks like with Values.

Here is how the Discharge in Alternative Form of Exponential Decay equation looks like with Units.

Here is how the Discharge in Alternative Form of Exponential Decay equation looks like.

1.4163Edit=50Edit⋅exp(-1.782Edit⋅2Edit)
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HomeIcon Home » Category Engineering » Category Civil » Category Engineering Hydrology » fx Discharge in Alternative Form of Exponential Decay

Discharge in Alternative Form of Exponential Decay Solution

Follow our step by step solution on how to calculate Discharge in Alternative Form of Exponential Decay?

FIRST Step Consider the formula
Qt=Q0⋅exp(-a⋅t)
Next Step Substitute values of Variables
∴ Qt=50m³/s⋅exp(-1.782⋅2s)
Next Step Prepare to Evaluate
∴ Qt=50⋅exp(-1.782⋅2)
Next Step Evaluate
∴Qt=1.41626483114406m³/s
LAST Step Rounding Answer
∴Qt=1.4163m³/s

Discharge in Alternative Form of Exponential Decay Formula Elements

Variables
Functions
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: Qt
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Formulas to find Discharge at Time tOpen Variable
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=0Open Variable
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 DecayOpen Variable
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 TimeOpen Variable
exp
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Syntax: exp(Number)

Other Formulas to find Discharge at Time t

​Go Discharge concerning Recession Constant
Qt=Q0⋅Krt
​Go Discharge given Storage
Qt=S⋅a

Other formulas in Components of a Hydrograph category

​Go Discharge at Initial Time
Q0=QtKrt
​Go Discharge at Initial Time in Alternative Form of Exponential Decay
Q0=Qtexp(-a⋅t)
​Go Recession Constant
Kr=Krs⋅Kri⋅Krb
​Go Recession Constant for Surface Storage
Krs=KrKri⋅Krb

How to Evaluate Discharge in Alternative Form of Exponential Decay?

Discharge in Alternative Form of Exponential Decay evaluator uses Discharge at Time t = Discharge at Time t=0*exp(-Constant 'a' for Discharge in Exponential Decay*Time) to evaluate 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 Qt symbol.

How to evaluate Discharge in Alternative Form of Exponential Decay using this online evaluator? To use this online evaluator 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.

FAQs on Discharge in Alternative Form of Exponential Decay

What is the formula to find Discharge in Alternative Form of Exponential Decay?
The formula of Discharge in Alternative Form of Exponential Decay is expressed as Discharge at Time t = Discharge at Time t=0*exp(-Constant 'a' for Discharge in Exponential Decay*Time). Here is an example- 18.39397 = 50*exp(-1.782*2).
How to calculate Discharge in Alternative Form of Exponential Decay?
With Discharge at Time t=0 (Q0), Constant 'a' for Discharge in Exponential Decay (a) & Time (t) we can find Discharge in Alternative Form of Exponential Decay using the formula - Discharge at Time t = Discharge at Time t=0*exp(-Constant 'a' for Discharge in Exponential Decay*Time). This formula also uses Exponential Growth (exp) function(s).
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^TimeOpenImg
  • Discharge at Time t=Total Storage in Channel Reach*Constant 'a' for Discharge in Exponential DecayOpenImg
Can the Discharge in Alternative Form of Exponential Decay be negative?
No, the Discharge in Alternative Form of Exponential Decay, measured in Volumetric Flow Rate cannot be negative.
Which unit is used to measure Discharge in Alternative Form of Exponential Decay?
Discharge in Alternative Form of Exponential Decay 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 in Alternative Form of Exponential Decay can be measured.
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