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Philip's Equation Formula

GoKostiakov Equation Formula

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Cumulative Infiltration Capacity is calculated by subtracting the cumulative runoff from the cumulative rainfall. Check FAQs

F p = s \cdot t^{\frac{1}{2}} + k \cdot t

F_p - Cumulative Infiltration Capacity?s - Sorptivity?t - Time?k - Hydraulic Conductivity?

Philip's Equation Example

With values

With units

Only example

Here is how the Philip's Equation equation looks like with Values.

Here is how the Philip's Equation equation looks like with Units.

Here is how the Philip's Equation equation looks like.

20.0021 = 10 \cdot 2^{\frac{1}{2}} + 2.93 \cdot 2

20.0021cm/h = 10 \cdot {2h}^{\frac{1}{2}} + 2.93cm/h \cdot 2h

20.0021 = 10 \cdot 2^{\frac{1}{2}} + 2.93 \cdot 2

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Philip's Equation Solution

Follow our step by step solution on how to calculate Philip's Equation?

FIRST Step Consider the formula

F p = s \cdot t^{\frac{1}{2}} + k \cdot t

Next Step Substitute values of Variables

∴

F p = 10 \cdot {2h}^{\frac{1}{2}} + 2.93cm/h \cdot 2h

Next Step Prepare to Evaluate

∴

F p = 10 \cdot 2^{\frac{1}{2}} + 2.93 \cdot 2

Next Step Evaluate

∴

F p = 5.55614878436971E-05m/s

Next Step Convert to Output's Unit

∴

F p = 20.002135623731cm/h

LAST Step Rounding Answer

∴

F p = 20.0021cm/h

Philip's Equation Formula Elements

Variables

Cumulative Infiltration Capacity

Cumulative Infiltration Capacity is calculated by subtracting the cumulative runoff from the cumulative rainfall.

Symbol: F_p

Measurement: SpeedUnit: cm/h

Note: Value should be greater than 0.

Formulas to find Cumulative Infiltration Capacity

Sorptivity

Sorptivity is a function of soil suction potential and measures the capacity of the medium to absorb or desorb liquid by capillarity.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sorptivity

Time

Time is an ongoing and continuous sequence of events that occur in succession, from the past through the present, and to the future. Here it is for rainfall.

Symbol: t

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Time

Hydraulic Conductivity

Hydraulic Conductivity depends on the size and arrangement of the water-transmitting openings and on the dynamic characteristics of the fluid.

Symbol: k

Measurement: SpeedUnit: cm/h

Note: Value should be greater than 0.

Formulas to find Hydraulic Conductivity

Other Formulas to find Cumulative Infiltration Capacity

Go Kostiakov Equation

F p = a \cdot t^{b}

Other formulas in Infiltration Capacity Equation category

Go Infiltration rate by Horton's equation

f p = f c + (f 0 - f c) \cdot \exp (- (K d \cdot t))

Go Sorptivity for Cumulative Infiltration Capacity is from Philip's Equation

s = \frac{F p - k \cdot t}{t^{\frac{1}{2}}}

Go Darcy's Hydraulic Conductivity given Infiltration Capacity from Philip's Equation

k = \frac{F p - (s \cdot t^{\frac{1}{2}})}{t}

Go Equation for Infiltration Capacity

f p = (\frac{1}{2}) \cdot s \cdot t^{- \frac{1}{2}} + k

How to Evaluate Philip's Equation?

Philip's Equation evaluator uses Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time to evaluate the Cumulative Infiltration Capacity, The Philip's Equation for Cumulative infiltration is the total volume of water infiltrated per unit area of soil surface during a specified time period. Cumulative Infiltration Capacity is denoted by F_p symbol.

How to evaluate Philip's Equation using this online evaluator? To use this online evaluator for Philip's Equation, enter Sorptivity (s), Time (t) & Hydraulic Conductivity (k) and hit the calculate button.

FAQs on Philip's Equation

What is the formula to find Philip's Equation?

The formula of Philip's Equation is expressed as Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time. Here is an example- 7.2E+6 = 10*7200^(1/2)+8.13888888888889E-06*7200.

How to calculate Philip's Equation?

With Sorptivity (s), Time (t) & Hydraulic Conductivity (k) we can find Philip's Equation using the formula - Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time.

What are the other ways to Calculate Cumulative Infiltration Capacity?

Here are the different ways to Calculate Cumulative Infiltration Capacity-

Cumulative Infiltration Capacity=Local Parameter a*Time^Local Parameter b

Can the Philip's Equation be negative?

No, the Philip's Equation, measured in Speed cannot be negative.

Which unit is used to measure Philip's Equation?

Philip's Equation is usually measured using the Centimeter per Hour[cm/h] for Speed. Meter per Second[cm/h], Meter per Minute[cm/h], Meter per Hour[cm/h] are the few other units in which Philip's Equation can be measured.

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Philip's Equation Formula

​GoKostiakov Equation Formula

Philip's Equation Example

Philip's Equation Solution

Philip's Equation Formula Elements

Other Formulas to find Cumulative Infiltration Capacity

Other formulas in Infiltration Capacity Equation category

How to Evaluate Philip's Equation?

FAQs on Philip's Equation

Variable Name

GoKostiakov Equation Formula