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 the Pressure Response Factor obtained from linear theory and takes into account pressure due to wave motion.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
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)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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 response factor at bottom Formula

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 is defined as a response factor obtained from linear theory and takes into account pressure due to wave motion. 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 -> 0.973133 = 1/cosh(2*pi*1.05/26.8).

FAQ

What is Pressure response factor at bottom?
The Pressure response factor at bottom is defined as a response factor obtained from linear theory and takes into account pressure due to wave motion and is represented as K = 1/cosh(2*pi*d/λ) or Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength). Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body & Wavelength can be defined as the distance between two successive crests or troughs of a wave.
How to calculate Pressure response factor at bottom?
The Pressure response factor at bottom is defined as a response factor obtained from linear theory and takes into account pressure due to wave motion 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 below the SWL of Pressure Gauge))/(Elevation of Water Surface*Mass Density*[g])
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