Waterline Length of Vessel given Expanded or Developed Blade Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Waterline Length of a Vessel = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Vessel Beam
lwl = (Ap*0.838*Ar)/B
This formula uses 4 Variables
Variables Used
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.
Expanded or Developed blade area of a propeller - (Measured in Square Meter) - Expanded or Developed blade area of a propeller [length^2] Propeller is a mechanical device for propelling a boat or aircraft, consisting of revolving shaft with angled blades attached to it.
Area Ratio - Area Ratio is the ratio of the waterline length times the beam to the total projected propeller area.
Vessel Beam - (Measured in Meter) - Vessel Beam [length] is the widest part of the vessel.
STEP 1: Convert Input(s) to Base Unit
Expanded or Developed blade area of a propeller: 15 Square Meter --> 15 Square Meter No Conversion Required
Area Ratio: 5 --> No Conversion Required
Vessel Beam: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lwl = (Ap*0.838*Ar)/B --> (15*0.838*5)/2
Evaluating ... ...
lwl = 31.425
STEP 3: Convert Result to Output's Unit
31.425 Meter --> No Conversion Required
FINAL ANSWER
31.425 Meter <-- Waterline Length of a Vessel
(Calculation completed in 00.004 seconds)

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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

Waterline Length of Vessel given Expanded or Developed Blade Area Formula

Waterline Length of a Vessel = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Vessel Beam
lwl = (Ap*0.838*Ar)/B

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 Expanded or Developed Blade Area?

Waterline Length of Vessel given Expanded or Developed Blade Area calculator uses Waterline Length of a Vessel = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Vessel Beam to calculate the Waterline Length of a Vessel, The Waterline length of vessel given expanded or developed blade area of the Propeller is the length of a ship or boat at the level where it sits in the water (the waterline). Waterline Length of a Vessel is denoted by lwl symbol.

How to calculate Waterline Length of Vessel given Expanded or Developed Blade Area using this online calculator? To use this online calculator for Waterline Length of Vessel given Expanded or Developed Blade Area, enter Expanded or Developed blade area of a propeller (Ap), Area Ratio (Ar) & Vessel Beam (B) and hit the calculate button. Here is how the Waterline Length of Vessel given Expanded or Developed Blade Area calculation can be explained with given input values -> 31.425 = (15*0.838*5)/2.

FAQ

What is Waterline Length of Vessel given Expanded or Developed Blade Area?
The Waterline length of vessel given expanded or developed blade area of the Propeller is the length of a ship or boat at the level where it sits in the water (the waterline) and is represented as lwl = (Ap*0.838*Ar)/B or Waterline Length of a Vessel = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Vessel Beam. Expanded or Developed blade area of a propeller [length^2] Propeller is a mechanical device for propelling a boat or aircraft, consisting of revolving shaft with angled blades attached to it, Area Ratio is the ratio of the waterline length times the beam to the total projected propeller area & Vessel Beam [length] is the widest part of the vessel.
How to calculate Waterline Length of Vessel given Expanded or Developed Blade Area?
The Waterline length of vessel given expanded or developed blade area of the Propeller is the length of a ship or boat at the level where it sits in the water (the waterline) is calculated using Waterline Length of a Vessel = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Vessel Beam. To calculate Waterline Length of Vessel given Expanded or Developed Blade Area, you need Expanded or Developed blade area of a propeller (Ap), Area Ratio (Ar) & Vessel Beam (B). With our tool, you need to enter the respective value for Expanded or Developed blade area of a propeller, Area Ratio & Vessel Beam 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 Expanded or Developed blade area of a propeller, Area Ratio & Vessel Beam. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity)/Average Current Speed*cos(Angle of the Current)
  • Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Vessel Draft))/1.7*Vessel Draft
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