HCF of three numbers

Waterline Length of Vessel given Reynolds Number Calculator

Engineering Chemistry Financial Health More >>

↳

Civil Chemical Engineering Electrical Electronics More >>

⤿

Coastal and Ocean Engineering Bridge and Suspension Cable Columns Concrete Formulas More >>

⤿

Surf Zone Hydrodynamics Calculation of Forces on Ocean Structures Density Currents in Harbors Density Currents in Rivers More >>

⤿

Harbor Hydrodynamics Methods to Predict Channel Shoaling Nearshore Currents Surf Zone Waves More >>

⤿

Mooring Important Formulas of Harbor Oscillation Harbor Oscillations Reflection from Structures More >>

⤿

Mooring Forces Important Formulas of Mooring Forces

⤿

Form Drag Propeller Drag Skin Friction

✖The Reynolds Number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.ⓘ Reynolds Number [Re]			+10% -10%
✖Kinematic Viscosity in Stokes is defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic Viscosity in Stokes [ν^']			+10% -10%
✖Average Current Speed for propeller drag refers to calculating propeller drag in water depending on factors, including the type of vessel, size and shape of propeller, and operating conditions.ⓘ Average Current Speed [V_c]			+10% -10%
✖Angle of the Current refers to the direction at which ocean currents or tidal flows approach a coastline or a coastal structure, relative to a defined reference direction.ⓘ Angle of the Current [θ_c]			+10% -10%

✖Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water.ⓘ Waterline Length of Vessel given Reynolds Number [l_wl]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Mooring Formula PDF PDF Image

Waterline Length of Vessel given Reynolds Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current)
l_wl = (Re*ν^')/V_c*cos(θ_c)
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Waterline Length of a Vessel - (Measured in Meter) - Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water.
Reynolds Number - The Reynolds Number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
Kinematic Viscosity in Stokes - (Measured in Square Meter per Second) - Kinematic Viscosity in Stokes is defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.
Average Current Speed - (Measured in Meter per Second) - Average Current Speed for propeller drag refers to calculating propeller drag in water depending on factors, including the type of vessel, size and shape of propeller, and operating conditions.
Angle of the Current - Angle of the Current refers to the direction at which ocean currents or tidal flows approach a coastline or a coastal structure, relative to a defined reference direction.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 5000 --> No Conversion Required
Kinematic Viscosity in Stokes: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Average Current Speed: 728.2461 Meter per Hour --> 0.202290583333333 Meter per Second (Check conversion here)
Angle of the Current: 1.15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_wl = (Re*ν^')/V_c*cos(θ_c) --> (5000*0.000725)/0.202290583333333*cos(1.15)

Evaluating ... ...

l_wl = 7.31999952150552

STEP 3: Convert Result to Output's Unit

7.31999952150552 Meter --> No Conversion Required

FINAL ANSWER

7.31999952150552 ≈ 7.32 Meter <-- Waterline Length of a Vessel

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Mooring » Mooring Forces » Waterline Length of Vessel given Reynolds Number

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< Mooring Forces Calculators

Coefficient of Drag for Winds Measured at 10 m given Drag Force due to Wind

LaTeX Go Coefficient of Drag = Drag Force/(0.5*Air Density*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)

Projected Area of Vessel above Waterline given Drag Force due to Wind

LaTeX Go Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2)

Mass Density of Air given Drag Force due to Wind

LaTeX Go Air Density = Drag Force/(0.5*Coefficient of Drag*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)

Drag Force due to Wind

LaTeX Go Drag Force = 0.5*Air Density*Coefficient of Drag*Projected Area of the Vessel*Wind Speed at Height of 10 m^2

< Important Formulas of Mooring Forces Calculators

Undamped Natural Period of Vessel

LaTeX Go Undamped Natural Period of a Vessel = 2*pi*(sqrt(Virtual Mass of the Ship/Effective Spring Constant))

Individual Stiffness of Mooring Line

LaTeX Go Individual Mooring Line Stiffness = Axial Tension or Load on a Mooring Line/Elongation in the Mooring Line

Mass of Vessel given Virtual Mass of Vessel

LaTeX Go Mass of a Vessel = Virtual Mass of the Ship-Mass of Vessel due to Inertial Effects

Virtual Mass of Vessel

LaTeX Go Virtual Mass of the Ship = Mass of a Vessel+Mass of Vessel due to Inertial Effects

Waterline Length of Vessel given Reynolds Number Formula

LaTeX Go

Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current)
l_wl = (Re*ν^')/V_c*cos(θ_c)

What causes Skin Friction?

Skin friction drag is caused by the viscosity of fluids and is developed from laminar drag to turbulent drag as a fluid moves on the surface of an object. Skin friction drag is generally expressed in terms of the Reynolds number, which is the ratio between inertial force and viscous force.

How to Calculate Waterline Length of Vessel given Reynolds Number?

Waterline Length of Vessel given Reynolds Number calculator uses Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current) to calculate the Waterline Length of a Vessel, The Waterline Length of Vessel given Reynolds Number formula is defined as the length of the ship measured at the waterline, which is the line where the hull of the ship meets the water surface. Waterline Length of a Vessel is denoted by l_wl symbol.

How to calculate Waterline Length of Vessel given Reynolds Number using this online calculator? To use this online calculator for Waterline Length of Vessel given Reynolds Number, enter Reynolds Number (Re), Kinematic Viscosity in Stokes (ν^'), Average Current Speed (V_c) & Angle of the Current (θ_c) and hit the calculate button. Here is how the Waterline Length of Vessel given Reynolds Number calculation can be explained with given input values -> 7.32 = (5000*0.000725)/0.202290583333333*cos(1.15).

FAQ

What is Waterline Length of Vessel given Reynolds Number?

The Waterline Length of Vessel given Reynolds Number formula is defined as the length of the ship measured at the waterline, which is the line where the hull of the ship meets the water surface and is represented as l_wl = (Re*ν^')/V_c*cos(θ_c) or Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current). The Reynolds Number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities, Kinematic Viscosity in Stokes is defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid, Average Current Speed for propeller drag refers to calculating propeller drag in water depending on factors, including the type of vessel, size and shape of propeller, and operating conditions & Angle of the Current refers to the direction at which ocean currents or tidal flows approach a coastline or a coastal structure, relative to a defined reference direction.

How to calculate Waterline Length of Vessel given Reynolds Number?

The Waterline Length of Vessel given Reynolds Number formula is defined as the length of the ship measured at the waterline, which is the line where the hull of the ship meets the water surface is calculated using Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current). To calculate Waterline Length of Vessel given Reynolds Number, you need Reynolds Number (Re), Kinematic Viscosity in Stokes (ν^'), Average Current Speed (V_c) & Angle of the Current (θ_c). With our tool, you need to enter the respective value for Reynolds Number, Kinematic Viscosity in Stokes, Average Current Speed & Angle of the Current 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 Waterline Length of a Vessel?

In this formula, Waterline Length of a Vessel uses Reynolds Number, Kinematic Viscosity in Stokes, Average Current Speed & Angle of the Current. We can use 3 other way(s) to calculate the same, which is/are as follows -

Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Draft in Vessel))/1.7*Draft in Vessel
Waterline Length of a Vessel = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Vessel Beam
Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Draft in Vessel))/1.7*Draft in Vessel

Home

FREE PDFs

🔍 Search