✖Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water.ⓘ Waterline Length of a Vessel [l_wl]			+10% -10%
✖Vessel Beam refers to the width of a vessel, such as a ship or boat, measured at its widest point.ⓘ Vessel Beam [B]			+10% -10%
✖Area Ratio is a parameter used to describe the proportion of a specific area relative to another reference area.ⓘ Area Ratio [A_r]			+10% -10%

✖Expanded or Developed Blade Area of a Propeller refers to the surface area of the propeller blades when they are "unwrapped" and laid flat on a plane.ⓘ Expanded or Developed Blade Area of Propeller [A_p]

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Formula

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Expanded or Developed Blade Area of Propeller

Formula

`"A"_{"p"} = ("l"_{"wl"}*"B")/0.838*"A"_{"r"}`

Example

`"20.26539m²"=("7.32m"*"2m")/0.838*"1.16"`

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Expanded or Developed Blade Area of Propeller Solution

STEP 0: Pre-Calculation Summary

Formula Used

Expanded or Developed Blade Area of a Propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio
A_p = (l_wl*B)/0.838*A_r
This formula uses 4 Variables

Variables Used

Expanded or Developed Blade Area of a Propeller - (Measured in Square Meter) - Expanded or Developed Blade Area of a Propeller refers to the surface area of the propeller blades when they are "unwrapped" and laid flat on a plane.
Waterline Length of a Vessel - (Measured in Meter) - Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water.
Vessel Beam - (Measured in Meter) - Vessel Beam refers to the width of a vessel, such as a ship or boat, measured at its widest point.
Area Ratio - Area Ratio is a parameter used to describe the proportion of a specific area relative to another reference area.

STEP 1: Convert Input(s) to Base Unit

Waterline Length of a Vessel: 7.32 Meter --> 7.32 Meter No Conversion Required
Vessel Beam: 2 Meter --> 2 Meter No Conversion Required
Area Ratio: 1.16 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_p = (l_wl*B)/0.838*A_r --> (7.32*2)/0.838*1.16

Evaluating ... ...

A_p = 20.2653937947494

STEP 3: Convert Result to Output's Unit

20.2653937947494 Square Meter --> No Conversion Required

FINAL ANSWER

20.2653937947494 ≈ 20.26539 Square Meter <-- Expanded or Developed Blade Area of a Propeller

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Mooring » Mooring Forces » Expanded or Developed Blade Area of Propeller

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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*Water Density*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*Water Density*sin(Latitude of the Line))

Density of Water given Velocity at Surface

Go Water Density = (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*Water Density*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 for Mooring Forces*Kinematic Viscosity in Stokes)/(Average Current Speed*Waterline Length of a Vessel))

Kinematic Viscosity of Water given Reynolds Number

Go Kinematic Viscosity in Stokes = (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 in Stokes)/Average Current Speed*cos(Angle of the Current)

Average Current Speed given Reynolds Number

Go Average Current Speed = (Reynolds Number*Kinematic Viscosity in Stokes)/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*Coefficient of Drag*Projected Area of the Vessel))

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/Draft in Vessel))/1.7*Draft in 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)

Coefficient of Drag for Winds Measured at 10 m given Drag Force due to Wind

Go Coefficient of Drag = 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*Coefficient of Drag*Wind Speed at Height of 10 m^2)

Mass Density of Air given Drag Force due to Wind

Go Air Density = Drag Force/(0.5*Coefficient of Drag*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)

Drag Force due to Wind

Go Drag Force = 0.5*Air Density*Coefficient of Drag*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

Go Velocity at the Desired Elevation z = Wind Speed at Height of 10 m*(Desired Elevation/10)^0.11

< 25 Important Formulas of Mooring Forces Calculators

Average Current Speed for Form Drag of Vessel

Go Longshore Current Speed = sqrt(Form Drag of a Vessel/0.5*Water Density*Form Drag Coefficient*Vessel Beam*Vessel Draft*cos(Angle of the Current))

Form Drag Coefficient given Form Drag of Vessel

Go Form Drag Coefficient = Form Drag of a Vessel/(0.5*Water Density*Vessel Beam*Vessel Draft*Average Current Speed^2*cos(Angle of the Current))

Vessel Draft given Form Drag of Vessel

Go Vessel Draft = Form Drag of a Vessel/(0.5*Water Density*Form Drag Coefficient*Vessel Beam*Average Current Speed^2*cos(Angle of the Current))

Propeller Drag Coefficient given Propeller Drag

Go Propeller Drag Coefficient = Vessel Propeller Drag/(0.5*Water Density*Expanded or Developed Blade Area of a Propeller*Average Current Speed^2*cos(Angle of the Current))

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

Go Angle of the Current = acos((Reynolds Number for Mooring Forces*Kinematic Viscosity in Stokes)/(Average Current Speed*Waterline Length of a Vessel))

Waterline Length of Vessel given Reynolds Number

Go Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current)

Average Current Speed given Reynolds Number

Go Average Current Speed = (Reynolds Number*Kinematic Viscosity in Stokes)/Waterline Length of a Vessel*cos(Angle of the Current)

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/Draft in Vessel))/1.7*Draft in 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)

Coefficient of Drag for Winds Measured at 10 m given Drag Force due to Wind

Go Coefficient of Drag = 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*Coefficient of Drag*Wind Speed at Height of 10 m^2)

Drag Force due to Wind

Go Drag Force = 0.5*Air Density*Coefficient of Drag*Projected Area of the Vessel*Wind Speed at Height of 10 m^2

Undamped Natural Period of Vessel

Go Undamped Natural Period of a Vessel = 2*pi*(sqrt(Virtual Mass of the Ship/Effective Spring Constant))

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

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

Individual Stiffness of Mooring Line

Go Individual Mooring Line Stiffness = Axial Tension or Load on a Mooring Line/Elongation in the Mooring Line

Elongation in Mooring Line given Individual Stiffness of Mooring Line

Go Mooring Line Elongation = Axial Tension or Load on a Mooring Line/Individual Stiffness of a Mooring Line

Axial Tension or Load given Individual Stiffness of Mooring Line

Go Axial Tension or Load on a Mooring Line = Mooring Line Elongation*Individual Stiffness of a Mooring Line

Elongation in Mooring Line given Percent Elongation in Mooring Line

Go Elongation in the Mooring Line = Length of Mooring Line*(Percent Elongation in a Mooring Line/100)

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

Go Velocity at the Desired Elevation z = Wind Speed at Height of 10 m*(Desired Elevation/10)^0.11

Mass of Vessel given Virtual Mass of Vessel

Go Mass of a Vessel = Virtual Mass of the Ship-Mass of Vessel due to Inertial Effects

Virtual Mass of Vessel

Go Virtual Mass of the Ship = Mass of a Vessel+Mass of Vessel due to Inertial Effects

Expanded or Developed Blade Area of Propeller Formula

Expanded or Developed Blade Area of a Propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio
A_p = (l_wl*B)/0.838*A_r

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 Expanded or Developed Blade Area of Propeller?

Expanded or Developed Blade Area of Propeller calculator uses Expanded or Developed Blade Area of a Propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio to calculate the Expanded or Developed Blade Area of a Propeller, The Expanded or Developed Blade Area of Propeller formula is defined as the parameter influencing the propeller drag that is due to the form drag of the propeller with a locked shaft. Expanded or Developed Blade Area of a Propeller is denoted by A_p symbol.

How to calculate Expanded or Developed Blade Area of Propeller using this online calculator? To use this online calculator for Expanded or Developed Blade Area of Propeller, enter Waterline Length of a Vessel (l_wl), Vessel Beam (B) & Area Ratio (A_r) and hit the calculate button. Here is how the Expanded or Developed Blade Area of Propeller calculation can be explained with given input values -> 20.26539 = (7.32*2)/0.838*1.16.

FAQ

What is Expanded or Developed Blade Area of Propeller?

The Expanded or Developed Blade Area of Propeller formula is defined as the parameter influencing the propeller drag that is due to the form drag of the propeller with a locked shaft and is represented as A_p = (l_wl*B)/0.838*A_r or Expanded or Developed Blade Area of a Propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio. Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water, Vessel Beam refers to the width of a vessel, such as a ship or boat, measured at its widest point & Area Ratio is a parameter used to describe the proportion of a specific area relative to another reference area.

How to calculate Expanded or Developed Blade Area of Propeller?

The Expanded or Developed Blade Area of Propeller formula is defined as the parameter influencing the propeller drag that is due to the form drag of the propeller with a locked shaft is calculated using Expanded or Developed Blade Area of a Propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio. To calculate Expanded or Developed Blade Area of Propeller, you need Waterline Length of a Vessel (l_wl), Vessel Beam (B) & Area Ratio (A_r). With our tool, you need to enter the respective value for Waterline Length of a Vessel, Vessel Beam & Area Ratio 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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