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Pressure Reference Factor Formula

GoPressure Response Factor at Bottom 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{\cosh (2 \cdot π \cdot \frac{D Z+d}{λ})}{\cosh (2 \cdot π \cdot \frac{d}{λ})}

K - Pressure Factor?D_Z+d - Distance above the Bottom?λ - Wavelength?d - Water Depth?π - Archimedes' constant?

Pressure Reference Factor Example

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Here is how the Pressure Reference Factor equation looks like with Values.

Here is how the Pressure Reference Factor equation looks like with Units.

Here is how the Pressure Reference Factor equation looks like.

1.0791 = \frac{\cosh (2 \cdot 3.1416 \cdot \frac{2}{26.8})}{\cosh (2 \cdot 3.1416 \cdot \frac{1.05}{26.8})}

1.0791 = \frac{\cosh (2 \cdot 3.1416 \cdot \frac{2m}{26.8m})}{\cosh (2 \cdot 3.1416 \cdot \frac{1.05m}{26.8m})}

1.0791 = \frac{\cosh (2 \cdot 3.1416 \cdot \frac{2}{26.8})}{\cosh (2 \cdot 3.1416 \cdot \frac{1.05}{26.8})}

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Pressure Reference Factor Solution

Follow our step by step solution on how to calculate Pressure Reference Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

K = 1.07909811744847

LAST Step Rounding Answer

∴

K = 1.0791

Pressure Reference Factor 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

Distance above the Bottom

Distance above the Bottom directly influences the magnitude of pressure exerted by the overlying water column on submerged structures or sediments.

Symbol: D_Z+d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance above the Bottom

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

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

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 Response Factor at Bottom

K = \frac{1}{\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 Reference Factor?

Pressure Reference Factor evaluator uses Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength)) to evaluate the Pressure Factor, The Pressure Reference Factor Formula is defined as a critical parameter used to measure and analyze subsurface pressure. It serves as a reference point against which other pressures in the water column are compared. Pressure Factor is denoted by K symbol.

How to evaluate Pressure Reference Factor using this online evaluator? To use this online evaluator for Pressure Reference Factor, enter Distance above the Bottom (D_Z+d), Wavelength (λ) & Water Depth (d) and hit the calculate button.

FAQs on Pressure Reference Factor

What is the formula to find Pressure Reference Factor?

The formula of Pressure Reference Factor is expressed as Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength)). Here is an example- 1.079098 = cosh(2*pi*(2)/26.8)/(cosh(2*pi*1.05/26.8)).

How to calculate Pressure Reference Factor?

With Distance above the Bottom (D_Z+d), Wavelength (λ) & Water Depth (d) we can find Pressure Reference Factor using the formula - Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(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=1/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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: Unit

Pressure Reference Factor Formula

​GoPressure Response Factor at Bottom Formula

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

Pressure Reference Factor Example

Pressure Reference Factor Solution

Pressure Reference Factor Formula Elements

Other Formulas to find Pressure Factor

Other formulas in Pressure Reference Factor category

How to Evaluate Pressure Reference Factor?

FAQs on Pressure Reference Factor

Variable Name

GoPressure Response Factor at Bottom Formula

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