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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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The Local Heat Transfer Rate is the amount of heat transferred per unit area per unit time from the surface to the fluid in a hypersonic boundary layer. 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

The Local Heat Transfer Rate is the amount of heat transferred per unit area per unit time from the surface to the fluid in a hypersonic boundary layer.

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 quantity used to characterize heat transfer and frictional drag in the boundary layer of hypersonic flow.

Symbol: St

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Stanton Number

Static Density

The Static Density is the density of air at a given altitude and temperature, used to model the boundary layer in hypersonic flow conditions.

Symbol: ρ_e

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Static Density

Static Velocity

The Static Velocity is the velocity of the fluid in the boundary layer at a given point, describing the flow characteristics near the surface.

Symbol: u_e

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Static Velocity

Adiabatic Wall Enthalpy

The Adiabatic Wall Enthalpy is the total enthalpy of a gas at the wall of a hypersonic vehicle, considering the heat transfer and friction effects.

Symbol: h_aw

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Adiabatic Wall Enthalpy

Wall Enthalpy

The Wall Enthalpy is the total heat content of the wall boundary layer in a hypersonic flow, including both sensible and latent heat components.

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 a method to quantify the heat transfer rate between a surface and a fluid in hypersonic flow, providing a crucial parameter in understanding heat transfer mechanisms in high-speed flows. 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