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Local Heat Transfer Rate Calculation using Stanton Number Formula

GoLocal Heat Transfer Rate using Nusselt's Number Formula

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Local Heat Transfer Rate, is that energy per second per unit area. Check FAQs

q w = St \cdot ρ e \cdot u e \cdot (h aw - h w)

q_w - Local Heat Transfer Rate?St - Stanton Number?ρ_e - Static Density?u_e - Static Velocity?h_aw - Adiabatic Wall Enthalpy?h_w - Wall Enthalpy?

Local Heat Transfer Rate Calculation using Stanton Number Example

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Here is how the Local Heat Transfer Rate Calculation using Stanton Number equation looks like with Values.

Here is how the Local Heat Transfer Rate Calculation using Stanton Number equation looks like with Units.

Here is how the Local Heat Transfer Rate Calculation using Stanton Number equation looks like.

11827.2 = 0.4 \cdot 1200 \cdot 8.8 \cdot (102 - 99.2)

11827.2W/m² = 0.4 \cdot 1200kg/m³ \cdot 8.8m/s \cdot (102J/kg - 99.2J/kg)

11827.2 = 0.4 \cdot 1200 \cdot 8.8 \cdot (102 - 99.2)

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Local Heat Transfer Rate Calculation using Stanton Number Solution

Follow our step by step solution on how to calculate Local Heat Transfer Rate Calculation using Stanton Number?

FIRST Step Consider the formula

q w = St \cdot ρ e \cdot u e \cdot (h aw - h w)

Next Step Substitute values of Variables

∴

q w = 0.4 \cdot 1200kg/m³ \cdot 8.8m/s \cdot (102J/kg - 99.2J/kg)

Next Step Prepare to Evaluate

∴

q w = 0.4 \cdot 1200 \cdot 8.8 \cdot (102 - 99.2)

LAST Step Evaluate

∴

q w = 11827.2W/m²

Local Heat Transfer Rate Calculation using Stanton Number Formula Elements

Variables

Local Heat Transfer Rate

Local Heat Transfer Rate, is that energy per second per unit area.

Symbol: q_w

Measurement: Heat Flux DensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Local Heat Transfer Rate

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

Static Density

Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid.

Symbol: ρ_e

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Static Density

Static Velocity

Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.

Symbol: u_e

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Static Velocity

Adiabatic Wall Enthalpy

Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.

Symbol: h_aw

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Adiabatic Wall Enthalpy

Wall Enthalpy

Wall Enthalpy is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.

Symbol: h_w

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Wall Enthalpy

Other Formulas to find Local Heat Transfer Rate

Go Local Heat Transfer Rate using Nusselt's Number

q w = \frac{N u \cdot k \cdot (T wall - Tw)}{x d}

Other formulas in Local Heat Transfer for Hypersonic Flow category

Go Nusselt Number for Hypersonic Vehicle

N u = \frac{q w \cdot x d}{k \cdot (T wall - Tw)}

Go Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number

k = \frac{q w \cdot x d}{N u \cdot (T wall - Tw)}

Go Stanton Number for Hypersonic Vehicle

St = \frac{q w}{ρ e \cdot u e \cdot (h aw - h w)}

Go Static Density Equation using Stanton Number

ρ e = \frac{q w}{St \cdot u e \cdot (h aw - h w)}

How to Evaluate Local Heat Transfer Rate Calculation using Stanton Number?

Local Heat Transfer Rate Calculation using Stanton Number evaluator uses Local Heat Transfer Rate = Stanton Number*Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy) to evaluate the Local Heat Transfer Rate, Local heat transfer rate calculation using Stanton number formula is defined as the interrelation as local heat transfer, static density, and velocity of the fluid, adiabatic, and wall enthalpy. Local Heat Transfer Rate is denoted by q_w symbol.

How to evaluate Local Heat Transfer Rate Calculation using Stanton Number using this online evaluator? To use this online evaluator for Local Heat Transfer Rate Calculation using Stanton Number, enter Stanton Number (St), Static Density (ρ_e), Static Velocity (u_e), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) and hit the calculate button.

FAQs on Local Heat Transfer Rate Calculation using Stanton Number

What is the formula to find Local Heat Transfer Rate Calculation using Stanton Number?

The formula of Local Heat Transfer Rate Calculation using Stanton Number is expressed as Local Heat Transfer Rate = Stanton Number*Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy). Here is an example- 11827.2 = 0.4*1200*8.8*(102-99.2).

How to calculate Local Heat Transfer Rate Calculation using Stanton Number?

With Stanton Number (St), Static Density (ρ_e), Static Velocity (u_e), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) we can find Local Heat Transfer Rate Calculation using Stanton Number using the formula - Local Heat Transfer Rate = Stanton Number*Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy).

What are the other ways to Calculate Local Heat Transfer Rate?

Here are the different ways to Calculate Local Heat Transfer Rate-

Local Heat Transfer Rate=(Nusselt Number*Thermal Conductivity*(Adiabatic Wall Temperature-Wall Temperature))/(Distance from Nose Tip to Required Base Diameter)

Can the Local Heat Transfer Rate Calculation using Stanton Number be negative?

No, the Local Heat Transfer Rate Calculation using Stanton Number, measured in Heat Flux Density cannot be negative.

Which unit is used to measure Local Heat Transfer Rate Calculation using Stanton Number?

Local Heat Transfer Rate Calculation using Stanton Number is usually measured using the Watt per Square Meter[W/m²] for Heat Flux Density. Kilowatt per Square Meter[W/m²], Watt per Square Centimeter[W/m²], Watt per Square Inch[W/m²] are the few other units in which Local Heat Transfer Rate Calculation using Stanton Number can be measured.

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Local Heat Transfer Rate Calculation using Stanton Number Formula

​GoLocal Heat Transfer Rate using Nusselt's Number Formula

Local Heat Transfer Rate Calculation using Stanton Number Example

Local Heat Transfer Rate Calculation using Stanton Number Solution

Local Heat Transfer Rate Calculation using Stanton Number Formula Elements

Other Formulas to find Local Heat Transfer Rate

Other formulas in Local Heat Transfer for Hypersonic Flow category

How to Evaluate Local Heat Transfer Rate Calculation using Stanton Number?

FAQs on Local Heat Transfer Rate Calculation using Stanton Number

Variable Name

GoLocal Heat Transfer Rate using Nusselt's Number Formula