Pressure Reference Factor Calculator

✖Distance above the Bottom expressing the local fluid velocity component.ⓘ Distance above the Bottom [D_Z+d]			+10% -10%
✖Wavelength is the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [d]			+10% -10%

✖Pressure Factor is the Pressure Response Factor obtained from linear theory and takes into account pressure due to wave motion.ⓘ Pressure Reference Factor [K]

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Formula

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Pressure Reference Factor

Formula

`"K" = cosh(2*pi*("D"_{"Z+d"})/"λ")/(cosh(2*pi*"d"/"λ"))`

Example

`"1.079098"=cosh(2*pi*("2m")/"26.8m")/(cosh(2*pi*"1.05m"/"26.8m"))`

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Pressure Reference Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength))
K = cosh(2*pi*(D_Z+d)/λ)/(cosh(2*pi*d/λ))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cosh - The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2., cosh(Number)

Variables Used

Pressure Factor - Pressure Factor is the Pressure Response Factor obtained from linear theory and takes into account pressure due to wave motion.
Distance above the Bottom - (Measured in Meter) - Distance above the Bottom expressing the local fluid velocity component.
Wavelength - (Measured in Meter) - Wavelength is the distance between two successive crests or troughs of a wave.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

Distance above the Bottom: 2 Meter --> 2 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = cosh(2*pi*(D_Z+d)/λ)/(cosh(2*pi*d/λ)) --> cosh(2*pi*(2)/26.8)/(cosh(2*pi*1.05/26.8))

Evaluating ... ...

K = 1.07909811744847

STEP 3: Convert Result to Output's Unit

1.07909811744847 --> No Conversion Required

FINAL ANSWER

1.07909811744847 ≈ 1.079098 <-- Pressure Factor

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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< 7 Pressure Reference Factor Calculators

Pressure taken as Gauge Pressure relative to Wave Mechanics

Go Sub Surface Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation)

Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements

Go Pressure Factor = Correction Factor*(Sub Surface Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Elevation of Water Surface*Mass Density*[g])

Pressure given Height of Surface Waves based on Subsurface Measurements

Go Sub Surface Pressure = ((Elevation of Water Surface*Mass Density*[g]*Pressure Factor)/Correction Factor)-(Mass Density*[g]*Depth below the SWL of Pressure Gauge)

Pressure Reference Factor

Go Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength))

Pressure given Pressure Response Factor

Go Sub Surface Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Factor)-Seabed Elevation)

Wavelength for Pressure Response Factor at bottom

Go Wavelength = 2*pi*Water Depth/(acosh(1/Pressure Factor))

Pressure response factor at bottom

Go Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength)

Pressure Reference Factor Formula

Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength))
K = cosh(2*pi*(D_Z+d)/λ)/(cosh(2*pi*d/λ))

What is Wavelength?

Wavelength, distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase i.e., points that have completed identical fractions of their periodic motion.

How to Calculate Pressure Reference Factor?

Pressure Reference Factor calculator uses Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength)) to calculate the Pressure Factor, The Pressure Reference Factor is obtained from linear theory and takes into account pressure due to wave motion. Pressure Factor is denoted by K symbol.

How to calculate Pressure Reference Factor using this online calculator? To use this online calculator for Pressure Reference Factor, enter Distance above the Bottom (D_Z+d), Wavelength (λ) & Water Depth (d) and hit the calculate button. Here is how the Pressure Reference Factor calculation can be explained with given input values -> 1.082085 = cosh(2*pi*(2)/26.8)/(cosh(2*pi*1.05/26.8)).

FAQ

What is Pressure Reference Factor?

The Pressure Reference Factor is obtained from linear theory and takes into account pressure due to wave motion and is represented as K = cosh(2*pi*(D_Z+d)/λ)/(cosh(2*pi*d/λ)) or Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength)). Distance above the Bottom expressing the local fluid velocity component, Wavelength is the distance between two successive crests or troughs of a wave & Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

How to calculate Pressure Reference Factor?

The Pressure Reference Factor is obtained from linear theory and takes into account pressure due to wave motion is calculated using Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength)). To calculate Pressure Reference Factor, you need Distance above the Bottom (D_Z+d), Wavelength (λ) & Water Depth (d). With our tool, you need to enter the respective value for Distance above the Bottom, Wavelength & Water Depth 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 Pressure Factor?

In this formula, Pressure Factor uses Distance above the Bottom, Wavelength & Water Depth. We can use 2 other way(s) to calculate the same, which is/are as follows -

Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength)
Pressure Factor = Correction Factor*(Sub Surface Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Elevation of Water Surface*Mass Density*[g])

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