Pressure Response Factor at Bottom Calculator

✖Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment.ⓘ Water Depth [d]			+10% -10%
✖Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.ⓘ Wavelength [λ]			+10% -10%

✖Pressure Factor is a dimensionless coefficient used to describe the effect of various factors on subsurface pressure. It is particularly significant in the analysis of wave pressure.ⓘ Pressure Response Factor at Bottom [K]

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Pressure Response Factor at Bottom Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength)
K = 1/cosh(2*pi*d/λ)
This formula uses 1 Constants, 1 Functions, 3 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 a dimensionless coefficient used to describe the effect of various factors on subsurface pressure. It is particularly significant in the analysis of wave pressure.
Water Depth - (Measured in Meter) - Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment.
Wavelength - (Measured in Meter) - Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.

STEP 1: Convert Input(s) to Base Unit

Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = 1/cosh(2*pi*d/λ) --> 1/cosh(2*pi*1.05/26.8)

Evaluating ... ...

K = 0.97044692998509

STEP 3: Convert Result to Output's Unit

0.97044692998509 --> No Conversion Required

FINAL ANSWER

0.97044692998509 ≈ 0.970447 <-- Pressure Factor

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< Pressure Reference Factor Calculators

Pressure taken as Gauge Pressure relative to Wave Mechanics

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

Pressure Reference Factor

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

Pressure given Pressure Response Factor

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

Pressure Response Factor at Bottom

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

Pressure Response Factor at Bottom Formula

LaTeX Go

Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength)
K = 1/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 Response Factor at Bottom?

Pressure Response Factor at Bottom calculator uses Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength) to calculate the Pressure Factor, The Pressure Response Factor at Bottom Formula is defined as a response factor obtained from linear theory and takes into account pressure due to wave motion. Understanding PRF assists in assessing the stability and integrity of coastal and ocean structures against varying water pressures, ensuring safety and durability. Pressure Factor is denoted by K symbol.

How to calculate Pressure Response Factor at Bottom using this online calculator? To use this online calculator for Pressure Response Factor at Bottom, enter Water Depth (d) & Wavelength (λ) and hit the calculate button. Here is how the Pressure Response Factor at Bottom calculation can be explained with given input values -> 0.970447 = 1/cosh(2*pi*1.05/26.8).

FAQ

What is Pressure Response Factor at Bottom?

The Pressure Response Factor at Bottom Formula is defined as a response factor obtained from linear theory and takes into account pressure due to wave motion. Understanding PRF assists in assessing the stability and integrity of coastal and ocean structures against varying water pressures, ensuring safety and durability and is represented as K = 1/cosh(2*pi*d/λ) or Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength). Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment & Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.

How to calculate Pressure Response Factor at Bottom?

The Pressure Response Factor at Bottom Formula is defined as a response factor obtained from linear theory and takes into account pressure due to wave motion. Understanding PRF assists in assessing the stability and integrity of coastal and ocean structures against varying water pressures, ensuring safety and durability is calculated using Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength). To calculate Pressure Response Factor at Bottom, you need Water Depth (d) & Wavelength (λ). With our tool, you need to enter the respective value for Water Depth & Wavelength 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 Water Depth & Wavelength. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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