Wetted Surface Area of Vessel Calculator

✖Vessel Draft [length] of a ship's hull is the vertical distance between the waterline and the bottom of the hull.ⓘ Vessel Draft [T]			+10% -10%
✖Waterline Length of a Vessel [length] 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 [length^3] is the voulme of water the vessel displaces.ⓘ Displacement of a Vessel [D]			+10% -10%

✖Wetted Surface Area of Vessel is the total area of her outer surface in contact with the surrounding water. It is one of the factors which resists the movement of the ship in 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 her outer surface in contact with the surrounding water. It is one of the factors which resists the movement of the ship in water.
Vessel Draft - (Measured in Meter) - Vessel Draft [length] of a ship's hull is the vertical distance between the waterline and the bottom of the hull.
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.
Displacement of a Vessel - (Measured in Cubic Meter) - Displacement of a Vessel [length^3] is the voulme of water the vessel displaces.

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 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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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

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 is defined as the total area of her outer surface in contact with the surrounding water. 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 is defined as the total area of her outer surface in contact with the surrounding water 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 [length] of a ship's hull is the vertical distance between the waterline and the bottom of the hull, Waterline Length of a Vessel [length] is the length of a ship or boat at the level where it sits in the water & Displacement of a Vessel [length^3] is the voulme of water the vessel displaces.

How to calculate Wetted Surface Area of Vessel?

The Wetted Surface Area of Vessel is defined as the total area of her outer surface in contact with the surrounding water 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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