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

GoFree stream velocity of fluid flowing over flat plate 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{h x}{ρ fluid fp \cdot c \cdot St}

u_∞ - Free Stream Velocity?h_x - Local Heat Transfer Coefficient?ρ_{fluid fp} - Density of Fluid Flowing over Flat Plate?c - Specific Heat Capacity?St - Stanton Number?

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

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

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

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

69.9993 = \frac{500}{0.0043 \cdot 4.184 \cdot 0.4}

69.9993m/s = \frac{500W/m²*K}{0.0043kg/m³ \cdot 4.184kJ/kg*K \cdot 0.4}

69.9993 = \frac{500}{0.0043 \cdot 4.184 \cdot 0.4}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

u ∞ = \frac{500W/m²*K}{0.0043kg/m³ \cdot 4.184kJ/kg*K \cdot 0.4}

Next Step Convert Units

∴

u ∞ = \frac{500W/m²*K}{0.0043kg/m³ \cdot 4184J/(kg*K) \cdot 0.4}

Next Step Prepare to Evaluate

∴

u ∞ = \frac{500}{0.0043 \cdot 4184 \cdot 0.4}

Next Step Evaluate

∴

u ∞ = 69.9993369662803m/s

LAST Step Rounding Answer

∴

u ∞ = 69.9993m/s

Free stream velocity of fluid flowing over flat plate given Stanton Number 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 Flowing over Flat Plate

Density of Fluid Flowing over Flat Plate is defined as the mass of fluid per unit volume of the said fluid.

Symbol: ρ_{fluid fp}

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid Flowing over Flat Plate

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

Stanton Number

The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.

Symbol: St

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Stanton Number

Other Formulas to find Free Stream Velocity

Go Free stream velocity of fluid flowing over flat plate

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

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 given Stanton Number?

Free stream velocity of fluid flowing over flat plate given Stanton Number evaluator uses Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid Flowing over Flat Plate*Specific Heat Capacity*Stanton Number) to evaluate the Free Stream Velocity, Free stream velocity of fluid flowing over flat plate given Stanton Number formula is defined as the velocity of the fluid flowing over a flat plate, which is a crucial parameter in understanding the convective heat transfer and fluid flow characteristics in various engineering applications. Free Stream Velocity is denoted by u_∞ symbol.

How to evaluate Free stream velocity of fluid flowing over flat plate given Stanton Number using this online evaluator? To use this online evaluator for Free stream velocity of fluid flowing over flat plate given Stanton Number, enter Local Heat Transfer Coefficient (h_x), Density of Fluid Flowing over Flat Plate (ρ_{fluid fp}), Specific Heat Capacity (c) & Stanton Number (St) and hit the calculate button.

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

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

The formula of Free stream velocity of fluid flowing over flat plate given Stanton Number is expressed as Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid Flowing over Flat Plate*Specific Heat Capacity*Stanton Number). Here is an example- 0.243883 = 500/(0.004268*4184*0.4).

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

With Local Heat Transfer Coefficient (h_x), Density of Fluid Flowing over Flat Plate (ρ_{fluid fp}), Specific Heat Capacity (c) & Stanton Number (St) we can find Free stream velocity of fluid flowing over flat plate given Stanton Number using the formula - Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid Flowing over Flat Plate*Specific Heat Capacity*Stanton Number).

What are the other ways to Calculate Free Stream Velocity?

Here are the different ways to Calculate Free Stream Velocity-

Free Stream Velocity=(2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Local Skin-Friction Coefficient)

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

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

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

Free stream velocity of fluid flowing over flat plate given Stanton Number 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 given Stanton Number can be measured.

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

​GoFree stream velocity of fluid flowing over flat plate Formula

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

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

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

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

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GoFree stream velocity of fluid flowing over flat plate Formula