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Pressure Response Factor at Bottom Formula

GoPressure Reference Factor Formula

GoPressure Reference Factor given Height of Surface Waves based on Subsurface Measurements Formula

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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. Check FAQs

K = \frac{1}{\cosh (2 \cdot π \cdot \frac{d}{λ})}

K - Pressure Factor?d - Water Depth?λ - Wavelength?π - Archimedes' constant?

Pressure Response Factor at Bottom Example

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Here is how the Pressure Response Factor at Bottom equation looks like with Values.

Here is how the Pressure Response Factor at Bottom equation looks like with Units.

Here is how the Pressure Response Factor at Bottom equation looks like.

0.9704 = \frac{1}{\cosh (2 \cdot 3.1416 \cdot \frac{1.05}{26.8})}

0.9704 = \frac{1}{\cosh (2 \cdot 3.1416 \cdot \frac{1.05m}{26.8m})}

0.9704 = \frac{1}{\cosh (2 \cdot 3.1416 \cdot \frac{1.05}{26.8})}

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Pressure Response Factor at Bottom Solution

Follow our step by step solution on how to calculate Pressure Response Factor at Bottom?

FIRST Step Consider the formula

K = \frac{1}{\cosh (2 \cdot π \cdot \frac{d}{λ})}

Next Step Substitute values of Variables

∴

K = \frac{1}{\cosh (2 \cdot π \cdot \frac{1.05m}{26.8m})}

Next Step Substitute values of Constants

∴

K = \frac{1}{\cosh (2 \cdot 3.1416 \cdot \frac{1.05m}{26.8m})}

Next Step Prepare to Evaluate

∴

K = \frac{1}{\cosh (2 \cdot 3.1416 \cdot \frac{1.05}{26.8})}

Next Step Evaluate

∴

K = 0.97044692998509

LAST Step Rounding Answer

∴

K = 0.9704

Pressure Response Factor at Bottom Formula Elements

Variables

Constants

Functions

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.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Factor

Water Depth

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.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth

Wavelength

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.

Symbol: λ

Measurement: WavelengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: cosh(Number)

Other Formulas to find Pressure Factor

Go Pressure Reference Factor

K = \frac{\cosh (2 \cdot π \cdot \frac{D Z+d}{λ})}{\cosh (2 \cdot π \cdot \frac{d}{λ})}

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

K = f \cdot \frac{p + (ρ \cdot [g] \cdot z'')}{η \cdot ρ \cdot [g]}

Other formulas in Pressure Reference Factor category

Go Pressure taken as Gauge Pressure relative to Wave Mechanics

p = (ρ \cdot [g] \cdot H \cdot \cosh (2 \cdot π \cdot \frac{D z'+d'}{λ})) \cdot \frac{\cos (θ)}{2 \cdot \cosh (2 \cdot π \cdot \frac{d}{λ})} - (ρ \cdot [g] \cdot Z)

Go Pressure given Pressure Response Factor

P ss = ρ \cdot [g] \cdot (((\frac{H}{2}) \cdot \cos (θ) \cdot k) - Z)

Go Wavelength for Pressure Response Factor at bottom

λ = 2 \cdot π \cdot \frac{d}{a \cosh (\frac{1}{K})}

Go Pressure given Height of Surface Waves based on Subsurface Measurements

p = (\frac{η \cdot ρ \cdot [g] \cdot K}{f}) - (ρ \cdot [g] \cdot z'')

How to Evaluate Pressure Response Factor at Bottom?

Pressure Response Factor at Bottom evaluator uses Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength) to evaluate 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 evaluate Pressure Response Factor at Bottom using this online evaluator? To use this online evaluator for Pressure Response Factor at Bottom, enter Water Depth (d) & Wavelength (λ) and hit the calculate button.

FAQs on Pressure Response Factor at Bottom

What is the formula to find Pressure Response Factor at Bottom?

The formula of Pressure Response Factor at Bottom is expressed as Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength). Here is an example- 0.970447 = 1/cosh(2*pi*1.05/26.8).

How to calculate Pressure Response Factor at Bottom?

With Water Depth (d) & Wavelength (λ) we can find Pressure Response Factor at Bottom using the formula - Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength). This formula also uses Archimedes' constant and Hyperbolic Cosine (cosh) function(s).

What are the other ways to Calculate Pressure Factor?

Here are the different ways to Calculate Pressure Factor-

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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Pressure Response Factor at Bottom Formula

​GoPressure Reference Factor Formula

​GoPressure Reference Factor given Height of Surface Waves based on Subsurface Measurements Formula

Pressure Response Factor at Bottom Example

Pressure Response Factor at Bottom Solution

Pressure Response Factor at Bottom Formula Elements

Other Formulas to find Pressure Factor

Other formulas in Pressure Reference Factor category

How to Evaluate Pressure Response Factor at Bottom?

FAQs on Pressure Response Factor at Bottom

Variable Name

GoPressure Reference Factor Formula

GoPressure Reference Factor given Height of Surface Waves based on Subsurface Measurements Formula