Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle of the Current = acos((Reynolds Number(pb)*Kinematic Viscosity)/(Average Current Speed*Waterline Length of a Vessel))
θc = acos((Repb*v)/(Vc*lwl))
This formula uses 2 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)
Variables Used
Angle of the Current - Angle of the Current Relative to the Longitudinal Axis of the Vessel.
Reynolds Number(pb) - Reynolds number(pb) 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 - (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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Reynolds Number(pb): 200 --> No Conversion Required
Kinematic Viscosity: 0.373 Square Meter per Second --> 0.373 Square Meter per Second No Conversion Required
Average Current Speed: 25 Meter per Second --> 25 Meter per Second No Conversion Required
Waterline Length of a Vessel: 7.32 Meter --> 7.32 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θc = acos((Repb*v)/(Vc*lwl)) --> acos((200*0.373)/(25*7.32))
Evaluating ... ...
θc = 1.15091699068916
STEP 3: Convert Result to Output's Unit
1.15091699068916 --> No Conversion Required
FINAL ANSWER
1.15091699068916 1.150917 <-- Angle of the Current
(Calculation completed in 00.004 seconds)

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25 Mooring Forces Calculators

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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

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number Formula

Angle of the Current = acos((Reynolds Number(pb)*Kinematic Viscosity)/(Average Current Speed*Waterline Length of a Vessel))
θc = acos((Repb*v)/(Vc*lwl))

What causes Skin Friction?

The 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 Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number?

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number calculator uses Angle of the Current = acos((Reynolds Number(pb)*Kinematic Viscosity)/(Average Current Speed*Waterline Length of a Vessel)) to calculate the Angle of the Current, The Angle of Current relative to longitudinal axis of vessel given Reynolds Number is defined as a parameter influencing the skin friction coefficient as a function of Reynolds number. Angle of the Current is denoted by θc symbol.

How to calculate Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number using this online calculator? To use this online calculator for Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number, enter Reynolds Number(pb) (Repb), Kinematic Viscosity (v), Average Current Speed (Vc) & Waterline Length of a Vessel (lwl) and hit the calculate button. Here is how the Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number calculation can be explained with given input values -> 1.150917 = acos((200*0.373)/(25*7.32)).

FAQ

What is Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number?
The Angle of Current relative to longitudinal axis of vessel given Reynolds Number is defined as a parameter influencing the skin friction coefficient as a function of Reynolds number and is represented as θc = acos((Repb*v)/(Vc*lwl)) or Angle of the Current = acos((Reynolds Number(pb)*Kinematic Viscosity)/(Average Current Speed*Waterline Length of a Vessel)). Reynolds number(pb) is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities, The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid, Average Current Speed [length/time] defined as the speed of Ocean currents that are continuous, predictable, directional movement of seawater & Waterline Length of a Vessel [length] is the length of a ship or boat at the level where it sits in the water.
How to calculate Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number?
The Angle of Current relative to longitudinal axis of vessel given Reynolds Number is defined as a parameter influencing the skin friction coefficient as a function of Reynolds number is calculated using Angle of the Current = acos((Reynolds Number(pb)*Kinematic Viscosity)/(Average Current Speed*Waterline Length of a Vessel)). To calculate Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number, you need Reynolds Number(pb) (Repb), Kinematic Viscosity (v), Average Current Speed (Vc) & Waterline Length of a Vessel (lwl). With our tool, you need to enter the respective value for Reynolds Number(pb), Kinematic Viscosity, Average Current Speed & Waterline Length of a Vessel 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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