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Wetted Surface Area of Vessel given Skin Friction Formula

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Wetted Surface Area is the total area of outer surface in contact with the surrounding water. Check FAQs

S = \frac{F c,fric}{0.5 \cdot ρ water \cdot c f \cdot {V cs}^{2} \cdot \cos (θ c)}

S - Wetted Surface Area?F_c,fric - Skin Friction of a Vessel?ρ_water - Water Density?c_f - Skin Friction Coefficient?V_cs - Average Current Speed for Skin Friction?θ_c - Angle of the Current?

Wetted Surface Area of Vessel given Skin Friction Example

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Here is how the Wetted Surface Area of Vessel given Skin Friction equation looks like with Values.

Here is how the Wetted Surface Area of Vessel given Skin Friction equation looks like with Units.

Here is how the Wetted Surface Area of Vessel given Skin Friction equation looks like.

4.2249 = \frac{42}{0.5 \cdot 1000 \cdot 0.72 \cdot {0.26}^{2} \cdot \cos (1.15)}

4.2249m² = \frac{42}{0.5 \cdot 1000kg/m³ \cdot 0.72 \cdot {0.26m/s}^{2} \cdot \cos (1.15)}

4.2249 = \frac{42}{0.5 \cdot 1000 \cdot 0.72 \cdot {0.26}^{2} \cdot \cos (1.15)}

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Wetted Surface Area of Vessel given Skin Friction Solution

Follow our step by step solution on how to calculate Wetted Surface Area of Vessel given Skin Friction?

FIRST Step Consider the formula

S = \frac{F c,fric}{0.5 \cdot ρ water \cdot c f \cdot {V cs}^{2} \cdot \cos (θ c)}

Next Step Substitute values of Variables

∴

S = \frac{42}{0.5 \cdot 1000kg/m³ \cdot 0.72 \cdot {0.26m/s}^{2} \cdot \cos (1.15)}

Next Step Prepare to Evaluate

∴

S = \frac{42}{0.5 \cdot 1000 \cdot 0.72 \cdot {0.26}^{2} \cdot \cos (1.15)}

Next Step Evaluate

∴

S = 4.22494816625031m²

LAST Step Rounding Answer

∴

S = 4.2249m²

Wetted Surface Area of Vessel given Skin Friction Formula Elements

Variables

Functions

Wetted Surface Area

Wetted Surface Area is the total area of outer surface in contact with the surrounding water.

Symbol: S

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Wetted Surface Area

Skin Friction of a Vessel

Skin Friction of a Vessel is defined as the friction at the surface of a solid and a fluid in relative motion.

Symbol: F_c,fric

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Skin Friction of a Vessel

Water Density

Water Density is mass per unit volume of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Skin Friction Coefficient

Skin Friction Coefficient refers to the dimensionless parameter that quantifies the resistance between the surface of a structure and the surrounding soil or water.

Symbol: c_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Skin Friction Coefficient

Average Current Speed for Skin Friction

Average Current Speed for Skin Friction or calculating skin friction (or frictional resistance) on a vessel's hull, can vary widely depending on the type of vessel and its operational environment.

Symbol: V_cs

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Current Speed for Skin Friction

Angle of the Current

Angle of the Current refers to the direction at which ocean currents or tidal flows approach a coastline or a coastal structure, relative to a defined reference direction.

Symbol: θ_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angle of the Current

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Skin Friction category

Go Skin Friction of Vessel due to Flow of Water over Wetted Surface Area of Vessel

F c,fric = 0.5 \cdot ρ water \cdot c f \cdot S \cdot {V cs}^{2} \cdot \cos (θ c)

Go Skin Friction Coefficient given Skin Friction of Vessel

c f = \frac{F c,fric}{0.5 \cdot ρ water \cdot S \cdot {V cs}^{2} \cdot \cos (θ c)}

Go Average Current Speed given Skin Friction of Vessel

V cs = \sqrt{\frac{F c,fric}{0.5 \cdot ρ water \cdot c f \cdot S \cdot \cos (θ c)}}

Go Skin Friction Coefficient as Function of Reynolds Number

c f = \frac{0.075}{{(\log 10 (Re m) - 2)}^{2}}

How to Evaluate Wetted Surface Area of Vessel given Skin Friction?

Wetted Surface Area of Vessel given Skin Friction evaluator uses Wetted Surface Area = Skin Friction of a Vessel/(0.5*Water Density*Skin Friction Coefficient*Average Current Speed for Skin Friction^2*cos(Angle of the Current)) to evaluate the Wetted Surface Area, The Wetted Surface Area of Vessel given Skin Friction formula is defined as the total area of a vessel's hull that is in contact with water. This area is crucial because it directly affects the amount of frictional resistance experienced by the vessel as it moves through the water. It is a parameter influencing skin friction drag due to flow of water over wetted surface area of vessel. Wetted Surface Area is denoted by S symbol.

How to evaluate Wetted Surface Area of Vessel given Skin Friction using this online evaluator? To use this online evaluator for Wetted Surface Area of Vessel given Skin Friction, enter Skin Friction of a Vessel (F_c,fric), Water Density (ρ_water), Skin Friction Coefficient (c_f), Average Current Speed for Skin Friction (V_cs) & Angle of the Current (θ_c) and hit the calculate button.

FAQs on Wetted Surface Area of Vessel given Skin Friction

What is the formula to find Wetted Surface Area of Vessel given Skin Friction?

The formula of Wetted Surface Area of Vessel given Skin Friction is expressed as Wetted Surface Area = Skin Friction of a Vessel/(0.5*Water Density*Skin Friction Coefficient*Average Current Speed for Skin Friction^2*cos(Angle of the Current)). Here is an example- 4.224948 = 42/(0.5*1000*0.72*0.26^2*cos(1.15)).

How to calculate Wetted Surface Area of Vessel given Skin Friction?

With Skin Friction of a Vessel (F_c,fric), Water Density (ρ_water), Skin Friction Coefficient (c_f), Average Current Speed for Skin Friction (V_cs) & Angle of the Current (θ_c) we can find Wetted Surface Area of Vessel given Skin Friction using the formula - Wetted Surface Area = Skin Friction of a Vessel/(0.5*Water Density*Skin Friction Coefficient*Average Current Speed for Skin Friction^2*cos(Angle of the Current)). This formula also uses Cosine (cos) function(s).

Can the Wetted Surface Area of Vessel given Skin Friction be negative?

Yes, the Wetted Surface Area of Vessel given Skin Friction, measured in Area can be negative.

Which unit is used to measure Wetted Surface Area of Vessel given Skin Friction?

Wetted Surface Area of Vessel given Skin Friction is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Wetted Surface Area of Vessel given Skin Friction can be measured.

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Wetted Surface Area of Vessel given Skin Friction Formula

Wetted Surface Area of Vessel given Skin Friction Example

Wetted Surface Area of Vessel given Skin Friction Solution

Wetted Surface Area of Vessel given Skin Friction Formula Elements

Other formulas in Skin Friction category

How to Evaluate Wetted Surface Area of Vessel given Skin Friction?

FAQs on Wetted Surface Area of Vessel given Skin Friction

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