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Average Current Speed given Reynolds Number Formula

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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. Check FAQs

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

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

Average Current Speed given Reynolds Number Example

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With units

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Here is how the Average Current Speed given Reynolds Number equation looks like with Values.

Here is how the Average Current Speed given Reynolds Number equation looks like with Units.

Here is how the Average Current Speed given Reynolds Number equation looks like.

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

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

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

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Average Current Speed given Reynolds Number Solution

Follow our step by step solution on how to calculate Average Current Speed given Reynolds Number?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V c = \frac{5000 \cdot 7.25St}{7.32m} \cdot \cos (1.15)

Next Step Convert Units

∴

V c = \frac{5000 \cdot 0.0007m²/s}{7.32m} \cdot \cos (1.15)

Next Step Prepare to Evaluate

∴

V c = \frac{5000 \cdot 0.0007}{7.32} \cdot \cos (1.15)

Next Step Evaluate

∴

V c = 0.202290570109982m/s

Next Step Convert to Output's Unit

∴

V c = 728.246052395936m/h

LAST Step Rounding Answer

∴

V c = 728.2461m/h

Average Current Speed given Reynolds Number Formula Elements

Variables

Functions

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

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

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

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 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 Average Current Speed given Reynolds Number?

Average Current Speed given Reynolds Number evaluator uses Average Current Speed = (Reynolds Number*Kinematic Viscosity in Stokes)/Waterline Length of a Vessel*cos(Angle of the Current) to evaluate the Average Current Speed, The Average Current Speed given Reynolds Number formula is defined as the propeller drag in water depending on factors, including the type of vessel, size and shape of propeller, and operating conditions. This parameter influence the skin friction coefficient. Average Current Speed is denoted by V_c symbol.

How to evaluate Average Current Speed given Reynolds Number using this online evaluator? To use this online evaluator for Average Current Speed given Reynolds Number, enter Reynolds Number (Re), Kinematic Viscosity in Stokes (ν^'), Waterline Length of a Vessel (l_wl) & Angle of the Current (θ_c) and hit the calculate button.

FAQs on Average Current Speed given Reynolds Number

What is the formula to find Average Current Speed given Reynolds Number?

The formula of Average Current Speed given Reynolds Number is expressed as Average Current Speed = (Reynolds Number*Kinematic Viscosity in Stokes)/Waterline Length of a Vessel*cos(Angle of the Current). Here is an example- 2.6E+6 = (5000*0.000725)/7.32*cos(1.15).

How to calculate Average Current Speed given Reynolds Number?

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

Can the Average Current Speed given Reynolds Number be negative?

Yes, the Average Current Speed given Reynolds Number, measured in Speed can be negative.

Which unit is used to measure Average Current Speed given Reynolds Number?

Average Current Speed given Reynolds Number is usually measured using the Meter per Hour[m/h] for Speed. Meter per Second[m/h], Meter per Minute[m/h], Kilometer per Hour[m/h] are the few other units in which Average Current Speed given Reynolds Number can be measured.

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Average Current Speed given Reynolds Number Formula

Average Current Speed given Reynolds Number Example

Average Current Speed given Reynolds Number Solution

Average Current Speed given Reynolds Number Formula Elements

Other formulas in Mooring Forces category

How to Evaluate Average Current Speed given Reynolds Number?

FAQs on Average Current Speed given Reynolds Number

Variable Name