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Free stream velocity of fluid flowing over flat plate Formula

GoFree stream velocity of fluid flowing over flat plate given Stanton Number Formula

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Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity. Check FAQs

u ∞ = \frac{2 \cdot h x}{ρ fluid \cdot c \cdot C f}

u_∞ - Free Stream Velocity?h_x - Local Heat Transfer Coefficient?ρ_fluid - Density of Fluid?c - Specific Heat Capacity?C_f - Local Skin-Friction Coefficient?

Free stream velocity of fluid flowing over flat plate Example

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Here is how the Free stream velocity of fluid flowing over flat plate equation looks like with Values.

Here is how the Free stream velocity of fluid flowing over flat plate equation looks like with Units.

Here is how the Free stream velocity of fluid flowing over flat plate equation looks like.

70 = \frac{2 \cdot 500}{2.7315 \cdot 4.184 \cdot 0.0012}

70m/s = \frac{2 \cdot 500W/m²*K}{2.7315kg/m³ \cdot 4.184kJ/kg*K \cdot 0.0012}

70 = \frac{2 \cdot 500}{2.7315 \cdot 4.184 \cdot 0.0012}

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Free stream velocity of fluid flowing over flat plate Solution

Follow our step by step solution on how to calculate Free stream velocity of fluid flowing over flat plate?

FIRST Step Consider the formula

u ∞ = \frac{2 \cdot h x}{ρ fluid \cdot c \cdot C f}

Next Step Substitute values of Variables

∴

u ∞ = \frac{2 \cdot 500W/m²*K}{2.7315kg/m³ \cdot 4.184kJ/kg*K \cdot 0.0012}

Next Step Convert Units

∴

u ∞ = \frac{2 \cdot 500W/m²*K}{2.7315kg/m³ \cdot 4184J/(kg*K) \cdot 0.0012}

Next Step Prepare to Evaluate

∴

u ∞ = \frac{2 \cdot 500}{2.7315 \cdot 4184 \cdot 0.0012}

Next Step Evaluate

∴

u ∞ = 70.0000032620001m/s

LAST Step Rounding Answer

∴

u ∞ = 70m/s

Free stream velocity of fluid flowing over flat plate Formula Elements

Variables

Free Stream Velocity

Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

Symbol: u_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Free Stream Velocity

Local Heat Transfer Coefficient

Local heat transfer coefficient at a particular point on the heat-transfer surface, equal to the local heat flux at this point divided by the local temperature drop.

Symbol: h_x

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Local Heat Transfer Coefficient

Density of Fluid

Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

Symbol: ρ_fluid

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Specific Heat Capacity

Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

Symbol: c

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Local Skin-Friction Coefficient

Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Local Skin-Friction Coefficient

Other Formulas to find Free Stream Velocity

Go Free stream velocity of fluid flowing over flat plate given Stanton Number

u ∞ = \frac{h x}{ρ fluid fp \cdot c \cdot St}

Other formulas in Reynolds Analogy category

Go Local heat transfer coefficient

h x = \frac{C f \cdot ρ fluid \cdot c \cdot u ∞}{2}

Go Density of fluid flowing over flat plate

ρ fluid = \frac{2 \cdot h x}{C f \cdot c \cdot u ∞}

Go Local skin friction coefficient

C f = \frac{2 \cdot h x}{ρ fluid \cdot c \cdot u ∞}

Go Specific heat capacity of fluid flowing over flat plate

c = \frac{2 \cdot h x}{ρ fluid \cdot C f \cdot u ∞}

How to Evaluate Free stream velocity of fluid flowing over flat plate?

Free stream velocity of fluid flowing over flat plate evaluator uses Free Stream Velocity = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Local Skin-Friction Coefficient) to evaluate the Free Stream Velocity, Free stream velocity of fluid flowing over flat plate formula is defined as the velocity of the fluid approaching the flat plate, which is a crucial parameter in understanding the flow behavior and boundary layer formation over the plate. Free Stream Velocity is denoted by u_∞ symbol.

How to evaluate Free stream velocity of fluid flowing over flat plate using this online evaluator? To use this online evaluator for Free stream velocity of fluid flowing over flat plate, enter Local Heat Transfer Coefficient (h_x), Density of Fluid (ρ_fluid), Specific Heat Capacity (c) & Local Skin-Friction Coefficient (C_f) and hit the calculate button.

FAQs on Free stream velocity of fluid flowing over flat plate

What is the formula to find Free stream velocity of fluid flowing over flat plate?

The formula of Free stream velocity of fluid flowing over flat plate is expressed as Free Stream Velocity = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Local Skin-Friction Coefficient). Here is an example- 70 = (2*500)/(2.731494*4184*0.00125).

How to calculate Free stream velocity of fluid flowing over flat plate?

With Local Heat Transfer Coefficient (h_x), Density of Fluid (ρ_fluid), Specific Heat Capacity (c) & Local Skin-Friction Coefficient (C_f) we can find Free stream velocity of fluid flowing over flat plate using the formula - Free Stream Velocity = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Local Skin-Friction Coefficient).

What are the other ways to Calculate Free Stream Velocity?

Here are the different ways to Calculate Free Stream Velocity-

Free Stream Velocity=Local Heat Transfer Coefficient/(Density of Fluid Flowing over Flat Plate*Specific Heat Capacity*Stanton Number)

Can the Free stream velocity of fluid flowing over flat plate be negative?

Yes, the Free stream velocity of fluid flowing over flat plate, measured in Speed can be negative.

Which unit is used to measure Free stream velocity of fluid flowing over flat plate?

Free stream velocity of fluid flowing over flat plate is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Free stream velocity of fluid flowing over flat plate can be measured.

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Free stream velocity of fluid flowing over flat plate Formula

​GoFree stream velocity of fluid flowing over flat plate given Stanton Number Formula

Free stream velocity of fluid flowing over flat plate Example

Free stream velocity of fluid flowing over flat plate Solution

Free stream velocity of fluid flowing over flat plate Formula Elements

Other Formulas to find Free Stream Velocity

Other formulas in Reynolds Analogy category

How to Evaluate Free stream velocity of fluid flowing over flat plate?

FAQs on Free stream velocity of fluid flowing over flat plate

Variable Name

GoFree stream velocity of fluid flowing over flat plate given Stanton Number Formula