✖Vessel Draft refers to the vertical distance between the waterline and the lowest point of a ship's hull, usually measured amidships (in the middle of the ship).ⓘ Vessel Draft [T]			+10% -10%
✖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%
✖Displacement of a Vessel refers to the weight of the water that a vessel displaces when it is floating.ⓘ Displacement of a Vessel [D]			+10% -10%

✖Wetted Surface Area of Vessel is the total area of the outer surface in contact with the surrounding water.ⓘ Wetted Surface Area of Vessel [S^']

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Formula

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Wetted Surface Area of Vessel

Formula

`"S"^{"'"} = (1.7*"T"*"l"_{"wl"})+((35*"D")/"T")`

Example

`"583.4059m²"=(1.7*"1.68m"*"7.32m")+((35*"27m³")/"1.68m")`

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Wetted Surface Area of Vessel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft)
S^' = (1.7*T*l_wl)+((35*D)/T)
This formula uses 4 Variables

Variables Used

Wetted Surface Area of Vessel - (Measured in Square Meter) - Wetted Surface Area of Vessel is the total area of the outer surface in contact with the surrounding water.
Vessel Draft - (Measured in Meter) - Vessel Draft refers to the vertical distance between the waterline and the lowest point of a ship's hull, usually measured amidships (in the middle of the ship).
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.
Displacement of a Vessel - (Measured in Cubic Meter) - Displacement of a Vessel refers to the weight of the water that a vessel displaces when it is floating.

STEP 1: Convert Input(s) to Base Unit

Vessel Draft: 1.68 Meter --> 1.68 Meter No Conversion Required
Waterline Length of a Vessel: 7.32 Meter --> 7.32 Meter No Conversion Required
Displacement of a Vessel: 27 Cubic Meter --> 27 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S^' = (1.7*T*l_wl)+((35*D)/T) --> (1.7*1.68*7.32)+((35*27)/1.68)

Evaluating ... ...

S^' = 583.40592

STEP 3: Convert Result to Output's Unit

583.40592 Square Meter --> No Conversion Required

FINAL ANSWER

583.40592 ≈ 583.4059 Square Meter <-- Wetted Surface Area of Vessel

(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 » Wetted Surface Area of Vessel

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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

Wetted Surface Area of Vessel Formula

Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft)
S^' = (1.7*T*l_wl)+((35*D)/T)

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 Wetted Surface Area of Vessel?

Wetted Surface Area of Vessel calculator uses Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft) to calculate the Wetted Surface Area of Vessel, The Wetted Surface Area of Vessel formula is defined as the total area of the vessel's hull that is in contact with the water when the vessel is floating. Wetted Surface Area of Vessel is denoted by S^' symbol.

How to calculate Wetted Surface Area of Vessel using this online calculator? To use this online calculator for Wetted Surface Area of Vessel, enter Vessel Draft (T), Waterline Length of a Vessel (l_wl) & Displacement of a Vessel (D) and hit the calculate button. Here is how the Wetted Surface Area of Vessel calculation can be explained with given input values -> 583.4059 = (1.7*1.68*7.32)+((35*27)/1.68).

FAQ

What is Wetted Surface Area of Vessel?

The Wetted Surface Area of Vessel formula is defined as the total area of the vessel's hull that is in contact with the water when the vessel is floating and is represented as S^' = (1.7*T*l_wl)+((35*D)/T) or Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft). Vessel Draft refers to the vertical distance between the waterline and the lowest point of a ship's hull, usually measured amidships (in the middle of the ship), Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water & Displacement of a Vessel refers to the weight of the water that a vessel displaces when it is floating.

How to calculate Wetted Surface Area of Vessel?

The Wetted Surface Area of Vessel formula is defined as the total area of the vessel's hull that is in contact with the water when the vessel is floating is calculated using Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft). To calculate Wetted Surface Area of Vessel, you need Vessel Draft (T), Waterline Length of a Vessel (l_wl) & Displacement of a Vessel (D). With our tool, you need to enter the respective value for Vessel Draft, Waterline Length of a Vessel & Displacement 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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