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

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The Thermal Conductivity is a measure of the ability of a material to conduct heat in the hypersonic boundary layer, characterizing heat transfer properties. Check FAQs

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

k - Thermal Conductivity?q_w - Local Heat Transfer Rate?x_d - Distance from Nose Tip to Required Base Diameter?N_u - Nusselt Number?T_wall - Adiabatic Wall Temperature?Tw - Wall Temperature?

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

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Here is how the Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number equation looks like with Values.

Here is how the Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number equation looks like with Units.

Here is how the Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number equation looks like.

0.0935 = \frac{12000 \cdot 1.2}{1400 \cdot (125 - 15)}

0.0935W/(m*K) = \frac{12000W/m² \cdot 1.2m}{1400 \cdot (125K - 15K)}

0.0935 = \frac{12000 \cdot 1.2}{1400 \cdot (125 - 15)}

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

Follow our step by step solution on how to calculate Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k = \frac{12000W/m² \cdot 1.2m}{1400 \cdot (125K - 15K)}

Next Step Prepare to Evaluate

∴

k = \frac{12000 \cdot 1.2}{1400 \cdot (125 - 15)}

Next Step Evaluate

∴

k = 0.0935064935064935W/(m*K)

LAST Step Rounding Answer

∴

k = 0.0935W/(m*K)

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

Variables

Thermal Conductivity

The Thermal Conductivity is a measure of the ability of a material to conduct heat in the hypersonic boundary layer, characterizing heat transfer properties.

Symbol: k

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

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

Distance from Nose Tip to Required Base Diameter

The Distance from Nose Tip to Required Base Diameter is the length from the nose tip to the base diameter of a hypersonic vehicle's boundary layer.

Symbol: x_d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from Nose Tip to Required Base Diameter

Nusselt Number

The Nusselt Number is a dimensionless quantity that characterizes the convective heat transfer between a surface and a fluid in hypersonic flow conditions.

Symbol: N_u

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nusselt Number

Adiabatic Wall Temperature

The Adiabatic Wall Temperature is the temperature at the surface of an object in hypersonic flow, where the heat transfer is zero and the flow is in equilibrium.

Symbol: T_wall

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Adiabatic Wall Temperature

Wall Temperature

The Wall Temperature is the temperature at the surface of the wall in a hypersonic flow, which affects the flow's thermal and velocity boundary layers.

Symbol: Tw

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Wall Temperature

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 Local Heat Transfer Rate using Nusselt's Number

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

Go Stanton Number for Hypersonic Vehicle

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

Go Local Heat Transfer Rate Calculation using Stanton Number

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

How to Evaluate Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number?

Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number evaluator uses Thermal Conductivity = (Local Heat Transfer Rate*Distance from Nose Tip to Required Base Diameter)/(Nusselt Number*(Adiabatic Wall Temperature-Wall Temperature)) to evaluate the Thermal Conductivity, Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number formula is defined as a measure of the ability of a material to conduct heat at the edge of the boundary layer in hypersonic flow, which is crucial in understanding heat transfer and fluid dynamics in high-speed flows. Thermal Conductivity is denoted by k symbol.

How to evaluate Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number using this online evaluator? To use this online evaluator for Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number, enter Local Heat Transfer Rate (q_w), Distance from Nose Tip to Required Base Diameter (x_d), Nusselt Number (N_u), Adiabatic Wall Temperature (T_wall) & Wall Temperature (Tw) and hit the calculate button.

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

What is the formula to find Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number?

The formula of Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number is expressed as Thermal Conductivity = (Local Heat Transfer Rate*Distance from Nose Tip to Required Base Diameter)/(Nusselt Number*(Adiabatic Wall Temperature-Wall Temperature)). Here is an example- 0.093506 = (12000*1.2)/(1400*(125-15)).

How to calculate Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number?

With Local Heat Transfer Rate (q_w), Distance from Nose Tip to Required Base Diameter (x_d), Nusselt Number (N_u), Adiabatic Wall Temperature (T_wall) & Wall Temperature (Tw) we can find Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number using the formula - Thermal Conductivity = (Local Heat Transfer Rate*Distance from Nose Tip to Required Base Diameter)/(Nusselt Number*(Adiabatic Wall Temperature-Wall Temperature)).

Can the Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number be negative?

No, the Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number, measured in Thermal Conductivity cannot be negative.

Which unit is used to measure Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number?

Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number is usually measured using the Watt per Meter per K[W/(m*K)] for Thermal Conductivity. Kilowatt per Meter per K[W/(m*K)], Calorie (IT) per Second per Centimeter per °C[W/(m*K)], Kilocalorie (th) per Hour per Meter per °C[W/(m*K)] are the few other units in which Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number can be measured.

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

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

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

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

Other formulas in Local Heat Transfer for Hypersonic Flow category

How to Evaluate Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number?

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

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