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Waterline Length of Vessel given Reynolds Number Formula

GoWaterline Length of Vessel for Wetted Surface Area of Vessel Formula

GoWaterline Length of Vessel given Expanded or Developed Blade Area Formula

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Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water. Check FAQs

l wl = \frac{Re \cdot ν'}{V c} \cdot \cos (θ c)

l_wl - Waterline Length of a Vessel?Re - Reynolds Number?ν^' - Kinematic Viscosity in Stokes?V_c - Average Current Speed?θ_c - Angle of the Current?

Waterline Length of Vessel given Reynolds Number Example

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With units

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Here is how the Waterline Length of Vessel given Reynolds Number equation looks like with Values.

Here is how the Waterline Length of Vessel given Reynolds Number equation looks like with Units.

Here is how the Waterline Length of Vessel given Reynolds Number equation looks like.

7.32 = \frac{5000 \cdot 7.25}{728.2461} \cdot \cos (1.15)

7.32m = \frac{5000 \cdot 7.25St}{728.2461m/h} \cdot \cos (1.15)

7.32 = \frac{5000 \cdot 7.25}{728.2461} \cdot \cos (1.15)

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Waterline Length of Vessel given Reynolds Number Solution

Follow our step by step solution on how to calculate Waterline Length of Vessel given Reynolds Number?

FIRST Step Consider the formula

l wl = \frac{Re \cdot ν'}{V c} \cdot \cos (θ c)

Next Step Substitute values of Variables

∴

l wl = \frac{5000 \cdot 7.25St}{728.2461m/h} \cdot \cos (1.15)

Next Step Convert Units

∴

l wl = \frac{5000 \cdot 0.0007m²/s}{0.2023m/s} \cdot \cos (1.15)

Next Step Prepare to Evaluate

∴

l wl = \frac{5000 \cdot 0.0007}{0.2023} \cdot \cos (1.15)

Next Step Evaluate

∴

l wl = 7.31999952150552m

LAST Step Rounding Answer

∴

l wl = 7.32m

Waterline Length of Vessel given Reynolds Number Formula Elements

Variables

Functions

Waterline Length of a Vessel

Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water.

Symbol: l_wl

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Waterline Length of a Vessel

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.

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number

Kinematic Viscosity in Stokes

Kinematic Viscosity in Stokes is defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

Symbol: ν^'

Measurement: Kinematic ViscosityUnit: St

Note: Value should be greater than 0.

Formulas to find Kinematic Viscosity in Stokes

Average Current Speed

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.

Symbol: V_c

Measurement: SpeedUnit: m/h

Note: Value can be positive or negative.

Formulas to find Average Current Speed

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.

Symbol: θ_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angle of the Current

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Waterline Length of a Vessel

Go Waterline Length of Vessel for Wetted Surface Area of Vessel

l wl = \frac{S' - (35 \cdot \frac{D}{T'})}{1.7} \cdot T'

Go Waterline Length of Vessel given Expanded or Developed Blade Area

l wl = \frac{A p \cdot 0.838 \cdot A r}{B}

Other formulas in Mooring Forces category

Go Undamped Natural Period of Vessel

T n = 2 \cdot π \cdot (\sqrt{\frac{m v}{k tot}})

Go Virtual Mass of Vessel

m v = m + m a

Go Mass of Vessel given Virtual Mass of Vessel

m = m v - m a

Go Individual Stiffness of Mooring Line

k n' = \frac{T n'}{Δl η'}

How to Evaluate Waterline Length of Vessel given Reynolds Number?

Waterline Length of Vessel given Reynolds Number evaluator uses Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current) to evaluate 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 evaluate Waterline Length of Vessel given Reynolds Number using this online evaluator? To use this online evaluator 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.

FAQs on Waterline Length of Vessel given Reynolds Number

What is the formula to find Waterline Length of Vessel given Reynolds Number?

The formula of Waterline Length of Vessel given Reynolds Number is expressed as Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current). Here is an example- 7.32 = (5000*0.000725)/0.202290583333333*cos(1.15).

How to calculate Waterline Length of Vessel given Reynolds Number?

With Reynolds Number (Re), Kinematic Viscosity in Stokes (ν^'), Average Current Speed (V_c) & Angle of the Current (θ_c) we can find Waterline Length of Vessel given Reynolds Number using the formula - Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Waterline Length of a Vessel?

Here are the different ways to Calculate Waterline Length of a Vessel-

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

Can the Waterline Length of Vessel given Reynolds Number be negative?

Yes, the Waterline Length of Vessel given Reynolds Number, measured in Length can be negative.

Which unit is used to measure Waterline Length of Vessel given Reynolds Number?

Waterline Length of Vessel given Reynolds Number is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Waterline Length of Vessel given Reynolds Number can be measured.

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: Value
: Unit

Waterline Length of Vessel given Reynolds Number Formula

​GoWaterline Length of Vessel for Wetted Surface Area of Vessel Formula

​GoWaterline Length of Vessel given Expanded or Developed Blade Area Formula

Waterline Length of Vessel given Reynolds Number Example

Waterline Length of Vessel given Reynolds Number Solution

Waterline Length of Vessel given Reynolds Number Formula Elements

Other Formulas to find Waterline Length of a Vessel

Other formulas in Mooring Forces category

How to Evaluate Waterline Length of Vessel given Reynolds Number?

FAQs on Waterline Length of Vessel given Reynolds Number

Variable Name

GoWaterline Length of Vessel for Wetted Surface Area of Vessel Formula

GoWaterline Length of Vessel given Expanded or Developed Blade Area Formula