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Local Heat Transfer Rate using Nusselt's Number Formula

GoLocal Heat Transfer Rate Calculation using Stanton Number Formula

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

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

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

Local Heat Transfer Rate using Nusselt's Number Example

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Here is how the Local Heat Transfer Rate using Nusselt's Number equation looks like with Values.

Here is how the Local Heat Transfer Rate using Nusselt's Number equation looks like with Units.

Here is how the Local Heat Transfer Rate using Nusselt's Number equation looks like.

16041.6667 = \frac{1400 \cdot 0.125 \cdot (125 - 15)}{1.2}

16041.6667W/m² = \frac{1400 \cdot 0.125W/(m*K) \cdot (125K - 15K)}{1.2m}

16041.6667 = \frac{1400 \cdot 0.125 \cdot (125 - 15)}{1.2}

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Local Heat Transfer Rate using Nusselt's Number Solution

Follow our step by step solution on how to calculate Local Heat Transfer Rate using Nusselt's Number?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q w = \frac{1400 \cdot 0.125W/(m*K) \cdot (125K - 15K)}{1.2m}

Next Step Prepare to Evaluate

∴

q w = \frac{1400 \cdot 0.125 \cdot (125 - 15)}{1.2}

Next Step Evaluate

∴

q w = 16041.6666666667W/m²

LAST Step Rounding Answer

∴

q w = 16041.6667W/m²

Local Heat Transfer Rate using Nusselt's 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

Nusselt Number

The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.

Symbol: N_u

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nusselt Number

Thermal Conductivity

Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.

Symbol: k

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

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Adiabatic Wall Temperature

Adiabatic wall temperature, is the temperature acquired by a wall in liquid or gas flow if the condition of thermal insulation is observed on it.

Symbol: T_wall

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Adiabatic Wall Temperature

Wall Temperature

Wall Temperature is the temperature at the wall.

Symbol: Tw

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Wall Temperature

Distance from Nose Tip to Required Base Diameter

Distance from Nose Tip to Required Base Diameter, used for studying the leading edge of the hypersonic vehicles.

Symbol: x_d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from Nose Tip to Required Base Diameter

Other Formulas to find Local Heat Transfer Rate

Go Local Heat Transfer Rate Calculation using Stanton Number

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

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 using Nusselt's Number?

Local Heat Transfer Rate using Nusselt's Number evaluator uses Local Heat Transfer Rate = (Nusselt Number*Thermal Conductivity*(Adiabatic Wall Temperature-Wall Temperature))/(Distance from Nose Tip to Required Base Diameter) to evaluate the Local Heat Transfer Rate, Local Heat Transfer Rate using Nusselt's Number is defined as the ratio of the product of Nusselt's number, thermal conductivity at the edge of the boundary layer, and difference between adiabatic wall temperature and wall temperature to the distance along the wall measured from the leading edge. Local Heat Transfer Rate is denoted by q_w symbol.

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

FAQs on Local Heat Transfer Rate using Nusselt's Number

What is the formula to find Local Heat Transfer Rate using Nusselt's Number?

The formula of Local Heat Transfer Rate using Nusselt's Number is expressed as Local Heat Transfer Rate = (Nusselt Number*Thermal Conductivity*(Adiabatic Wall Temperature-Wall Temperature))/(Distance from Nose Tip to Required Base Diameter). Here is an example- 57.29167 = (1400*0.125*(125-15))/(1.2).

How to calculate Local Heat Transfer Rate using Nusselt's Number?

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

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=Stanton Number*Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)

Can the Local Heat Transfer Rate using Nusselt's Number be negative?

No, the Local Heat Transfer Rate using Nusselt's Number, measured in Heat Flux Density cannot be negative.

Which unit is used to measure Local Heat Transfer Rate using Nusselt's Number?

Local Heat Transfer Rate using Nusselt's 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 using Nusselt's Number can be measured.

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Local Heat Transfer Rate using Nusselt's Number Formula

​GoLocal Heat Transfer Rate Calculation using Stanton Number Formula

Local Heat Transfer Rate using Nusselt's Number Example

Local Heat Transfer Rate using Nusselt's Number Solution

Local Heat Transfer Rate using Nusselt's 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 using Nusselt's Number?

FAQs on Local Heat Transfer Rate using Nusselt's Number

Variable Name

GoLocal Heat Transfer Rate Calculation using Stanton Number Formula