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Density of fluid flowing over flat plate given Stanton Number Formula

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

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

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

Density of fluid flowing over flat plate given Stanton Number Example

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

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

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

0.0043 = \frac{500}{0.4 \cdot 4.184 \cdot 70}

0.0043kg/m³ = \frac{500W/m²*K}{0.4 \cdot 4.184kJ/kg*K \cdot 70m/s}

0.0043 = \frac{500}{0.4 \cdot 4.184 \cdot 70}

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Density of fluid flowing over flat plate given Stanton Number Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ρ fluid fp = \frac{500W/m²*K}{0.4 \cdot 4.184kJ/kg*K \cdot 70m/s}

Next Step Convert Units

∴

ρ fluid fp = \frac{500W/m²*K}{0.4 \cdot 4184J/(kg*K) \cdot 70m/s}

Next Step Prepare to Evaluate

∴

ρ fluid fp = \frac{500}{0.4 \cdot 4184 \cdot 70}

Next Step Evaluate

∴

ρ fluid fp = 0.00426795957388692kg/m³

LAST Step Rounding Answer

∴

ρ fluid fp = 0.0043kg/m³

Density of fluid flowing over flat plate given Stanton Number Formula Elements

Variables

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

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

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

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

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

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 Free stream velocity of fluid flowing over flat plate

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

Go Local skin friction coefficient

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

How to Evaluate Density of fluid flowing over flat plate given Stanton Number?

Density of fluid flowing over flat plate given Stanton Number evaluator uses Density of Fluid Flowing over Flat Plate = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity) to evaluate the Density of Fluid Flowing over Flat Plate, Density of fluid flowing over flat plate given Stanton Number formula is defined as a measure of the mass per unit volume of a fluid flowing over a flat plate, which is an important parameter in understanding the behavior of fluids in various engineering and scientific applications. Density of Fluid Flowing over Flat Plate is denoted by ρ_{fluid fp} symbol.

How to evaluate Density of fluid flowing over flat plate given Stanton Number using this online evaluator? To use this online evaluator for Density of fluid flowing over flat plate given Stanton Number, enter Local Heat Transfer Coefficient (h_x), Stanton Number (St), Specific Heat Capacity (c) & Free Stream Velocity (u_∞) and hit the calculate button.

FAQs on Density of fluid flowing over flat plate given Stanton Number

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

The formula of Density of fluid flowing over flat plate given Stanton Number is expressed as Density of Fluid Flowing over Flat Plate = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity). Here is an example- 0.004268 = 500/(0.4*4184*70).

How to calculate Density of fluid flowing over flat plate given Stanton Number?

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

Can the Density of fluid flowing over flat plate given Stanton Number be negative?

No, the Density of fluid flowing over flat plate given Stanton Number, measured in Density cannot be negative.

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

Density of fluid flowing over flat plate given Stanton Number is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density of fluid flowing over flat plate given Stanton Number can be measured.

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Density of fluid flowing over flat plate given Stanton Number Formula

Density of fluid flowing over flat plate given Stanton Number Example

Density of fluid flowing over flat plate given Stanton Number Solution

Density of fluid flowing over flat plate given Stanton Number Formula Elements

Other formulas in Reynolds Analogy category

How to Evaluate Density of fluid flowing over flat plate given Stanton Number?

FAQs on Density of fluid flowing over flat plate given Stanton Number

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