Average Current Speed given Reynolds number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Current Speed = (Reynolds Number*Kinematic Viscosity)/Waterline Length of a Vessel*cos(Angle of the Current)
Vc = (Re*ν)/lwl*cos(θc)
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
Average Current Speed - (Measured in Meter per Second) - Average Current Speed [length/time] defined as the speed of Ocean currents that are continuous, predictable, directional movement of seawater.
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. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
Kinematic Viscosity - (Measured in Square Meter per Second) - The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.
Waterline Length of a Vessel - (Measured in Meter) - Waterline Length of a Vessel [length] is the length of a ship or boat at the level where it sits in the water.
Angle of the Current - Angle of the Current Relative to the Longitudinal Axis of the Vessel.
STEP 1: Convert Input(s) to Base Unit
Reynolds Number: 5000 --> No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Waterline Length of a Vessel: 7.32 Meter --> 7.32 Meter No Conversion Required
Angle of the Current: 20 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vc = (Re*ν)/lwl*cos(θc) --> (5000*0.000725)/7.32*cos(20)
Evaluating ... ...
Vc = 0.202089818862506
STEP 3: Convert Result to Output's Unit
0.202089818862506 Meter per Second -->727.523347905022 Meter per Hour (Check conversion here)
FINAL ANSWER
727.523347905022 727.5233 Meter per Hour <-- Average Current Speed
(Calculation completed in 00.004 seconds)

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25 Mooring Forces Calculators

Latitude given Velocity at Surface
Go Latitude of the line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*Angular Speed of the Earth))
Angular velocity of Earth for velocity at surface
Go Angular Speed of the Earth = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*sin(Latitude of the line))
Density of Water given Velocity at Surface
Go Density of Water = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Angular Speed of the Earth*sin(Latitude of the line))
Depth given Velocity at Surface
Go Depth of Frictional Influence = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Density of Water*Angular Speed of the Earth*sin(Latitude of the line))
Velocity at Surface given Shear Stress at Water Surface
Go Velocity at the Surface = pi*Shear Stress at the Water Surface/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth*sin(Latitude of the line))
Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number
Go Angle of the Current = acos((Reynolds Number(pb)*Kinematic Viscosity)/(Average Current Speed*Waterline Length of a Vessel))
Kinematic Viscosity of Water given Reynolds Number
Go Kinematic Viscosity = (Average Current Speed*Waterline Length of a Vessel*cos(Angle of the Current))/Reynolds Number
Waterline Length of Vessel given Reynolds Number
Go Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity)/Average Current Speed*cos(Angle of the Current)
Average Current Speed given Reynolds number
Go Average Current Speed = (Reynolds Number*Kinematic Viscosity)/Waterline Length of a Vessel*cos(Angle of the Current)
Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind
Go Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Drag Coefficient*Projected Area of the Vessel))
Displacement of Vessel for Wetted Surface Area of Vessel
Go Displacement of a Vessel = (Vessel Draft*(Wetted Surface Area of Vessel-(1.7*Vessel Draft*Waterline Length of a Vessel)))/35
Wetted Surface Area of Vessel
Go Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft)
Waterline Length of Vessel for Wetted Surface Area of Vessel
Go Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Vessel Draft))/1.7*Vessel Draft
Mass Density of Air given Drag Force due to Wind
Go Density of Air = Drag Force/(0.5*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)
Coefficient of Drag for Winds Measured at 10 m given Drag Force due to Wind
Go Drag Coefficient = 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
Go Projected Area of the Vessel = Drag Force/(0.5*Air Density*Drag Coefficient*Wind Speed at Height of 10 m^2)
Drag Force due to Wind
Go Drag Force = 0.5*Air Density*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2
Total Longitudinal Current Load on Vessel
Go Total Longitudinal Current Load on a Vessel = Form Drag of a Vessel+Skin Friction of a Vessel+Vessel Propeller Drag
Waterline Length of Vessel given Expanded or Developed Blade Area
Go Waterline Length of a Vessel = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Vessel Beam
Vessel Beam given Expanded or Developed Blade Area of Propeller
Go Vessel Beam = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Waterline Length of a Vessel
Area Ratio given Expanded or Developed Blade Area of Propeller
Go Area Ratio = Waterline Length of a Vessel*Vessel Beam/(Expanded or Developed blade area of a propeller*0.838)
Expanded or Developed Blade Area of Propeller
Go Expanded or Developed blade area of a propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio
Elevation given Velocity at Desired Elevation
Go Desired Elevation = 10*(Velocity at the desired elevation z/Wind Speed at Height of 10 m)^1/0.11
Wind Speed at Standard Elevation of 10 m given Velocity at Desired Elevation
Go Wind Speed at Height of 10 m = Velocity at the desired elevation z/(Desired Elevation/10)^0.11
Velocity at Desired Elevation Z
Go Velocity at the desired elevation z = Wind Speed at Height of 10 m*(Desired Elevation/10)^0.11

Average Current Speed given Reynolds number Formula

Average Current Speed = (Reynolds Number*Kinematic Viscosity)/Waterline Length of a Vessel*cos(Angle of the Current)
Vc = (Re*ν)/lwl*cos(θc)

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.

What is 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. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.

How to Calculate Average Current Speed given Reynolds number?

Average Current Speed given Reynolds number calculator uses Average Current Speed = (Reynolds Number*Kinematic Viscosity)/Waterline Length of a Vessel*cos(Angle of the Current) to calculate the Average Current Speed, The Average Current Speed given Reynolds number is defined as a parameter influencing the skin friction coefficient. Average Current Speed is denoted by Vc symbol.

How to calculate Average Current Speed given Reynolds number using this online calculator? To use this online calculator for Average Current Speed given Reynolds number, enter Reynolds Number (Re), Kinematic Viscosity (ν), Waterline Length of a Vessel (lwl) & Angle of the Current c) and hit the calculate button. Here is how the Average Current Speed given Reynolds number calculation can be explained with given input values -> 2.6E+6 = (5000*0.000725)/7.32*cos(20).

FAQ

What is Average Current Speed given Reynolds number?
The Average Current Speed given Reynolds number is defined as a parameter influencing the skin friction coefficient and is represented as Vc = (Re*ν)/lwl*cos(θc) or Average Current Speed = (Reynolds Number*Kinematic Viscosity)/Waterline Length of a Vessel*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. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe, The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid, Waterline Length of a Vessel [length] is the length of a ship or boat at the level where it sits in the water & Angle of the Current Relative to the Longitudinal Axis of the Vessel.
How to calculate Average Current Speed given Reynolds number?
The Average Current Speed given Reynolds number is defined as a parameter influencing the skin friction coefficient is calculated using Average Current Speed = (Reynolds Number*Kinematic Viscosity)/Waterline Length of a Vessel*cos(Angle of the Current). To calculate Average Current Speed given Reynolds number, you need Reynolds Number (Re), Kinematic Viscosity (ν), Waterline Length of a Vessel (lwl) & Angle of the Current c). With our tool, you need to enter the respective value for Reynolds Number, Kinematic Viscosity, Waterline Length of a Vessel & 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.
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