Local Heat Transfer Rate using Nusselt's Number Calculator

✖The Nusselt Number is a dimensionless quantity that characterizes the convective heat transfer between a surface and a fluid in hypersonic flow conditions.ⓘ Nusselt Number [N_u]			+10% -10%
✖The Thermal Conductivity is a measure of the ability of a material to conduct heat in the hypersonic boundary layer, characterizing heat transfer properties.ⓘ Thermal Conductivity [k]			+10% -10%
✖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.ⓘ Adiabatic Wall Temperature [T_wall]			+10% -10%
✖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.ⓘ Wall Temperature [Tw]			+10% -10%
✖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.ⓘ Distance from Nose Tip to Required Base Diameter [x_d]			+10% -10%

✖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.ⓘ Local Heat Transfer Rate using Nusselt's Number [q_w]

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Local Heat Transfer Rate using Nusselt's Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Heat Transfer Rate = (Nusselt Number*Thermal Conductivity*(Adiabatic Wall Temperature-Wall Temperature))/(Distance from Nose Tip to Required Base Diameter)
q_w = (N_u*k*(T_wall-Tw))/(x_d)
This formula uses 6 Variables

Variables Used

Local Heat Transfer Rate - (Measured in Watt per Square Meter) - 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.
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.
Thermal Conductivity - (Measured in Watt per Meter per K) - The Thermal Conductivity is a measure of the ability of a material to conduct heat in the hypersonic boundary layer, characterizing heat transfer properties.
Adiabatic Wall Temperature - (Measured in Kelvin) - 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.
Wall Temperature - (Measured in Kelvin) - 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.
Distance from Nose Tip to Required Base Diameter - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Nusselt Number: 1400 --> No Conversion Required
Thermal Conductivity: 0.093 Watt per Meter per K --> 0.093 Watt per Meter per K No Conversion Required
Adiabatic Wall Temperature: 125 Kelvin --> 125 Kelvin No Conversion Required
Wall Temperature: 15 Kelvin --> 15 Kelvin No Conversion Required
Distance from Nose Tip to Required Base Diameter: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_w = (N_u*k*(T_wall-Tw))/(x_d) --> (1400*0.093*(125-15))/(1.2)

Evaluating ... ...

q_w = 11935

STEP 3: Convert Result to Output's Unit

11935 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

11935 Watt per Square Meter <-- Local Heat Transfer Rate

(Calculation completed in 00.004 seconds)

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Amrita School of Engineering (ASE), Vallikavu

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< Local Heat Transfer for Hypersonic Flow Calculators

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

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

Local Heat Transfer Rate using Nusselt's Number

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

Nusselt Number for Hypersonic Vehicle

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

Stanton Number for Hypersonic Vehicle

LaTeX Go Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Local Heat Transfer Rate using Nusselt's Number Formula

LaTeX Go

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

What is Nusselt's number?

The Nusselt number is the ratio of convective to conductive heat transfer across a boundary. The convection and conduction heat flows are parallel to each other and to the surface normal of the boundary surface, and are all perpendicular to the mean fluid flow in the simple case.

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

Local Heat Transfer Rate using Nusselt's Number calculator uses Local Heat Transfer Rate = (Nusselt Number*Thermal Conductivity*(Adiabatic Wall Temperature-Wall Temperature))/(Distance from Nose Tip to Required Base Diameter) to calculate the Local Heat Transfer Rate, Local Heat Transfer Rate using Nusselt's Number formula is defined as a measure of the convective heat transfer between a surface and a fluid, typically used in hypersonic flow applications to determine the heat transfer rate at the wall. Local Heat Transfer Rate is denoted by q_w symbol.

How to calculate Local Heat Transfer Rate using Nusselt's Number using this online calculator? To use this online calculator 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. Here is how the Local Heat Transfer Rate using Nusselt's Number calculation can be explained with given input values -> 16041.67 = (1400*0.093*(125-15))/(1.2).

FAQ

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

Local Heat Transfer Rate using Nusselt's Number formula is defined as a measure of the convective heat transfer between a surface and a fluid, typically used in hypersonic flow applications to determine the heat transfer rate at the wall and is represented as q_w = (N_u*k*(T_wall-Tw))/(x_d) or Local Heat Transfer Rate = (Nusselt Number*Thermal Conductivity*(Adiabatic Wall Temperature-Wall Temperature))/(Distance from Nose Tip to Required Base Diameter). The Nusselt Number is a dimensionless quantity that characterizes the convective heat transfer between a surface and a fluid in hypersonic flow conditions, The Thermal Conductivity is a measure of the ability of a material to conduct heat in the hypersonic boundary layer, characterizing heat transfer properties, 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, 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 & 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.

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

Local Heat Transfer Rate using Nusselt's Number formula is defined as a measure of the convective heat transfer between a surface and a fluid, typically used in hypersonic flow applications to determine the heat transfer rate at the wall is calculated using Local Heat Transfer Rate = (Nusselt Number*Thermal Conductivity*(Adiabatic Wall Temperature-Wall Temperature))/(Distance from Nose Tip to Required Base Diameter). To calculate Local Heat Transfer Rate using Nusselt's Number, you need 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). With our tool, you need to enter the respective value for Nusselt Number, Thermal Conductivity, Adiabatic Wall Temperature, Wall Temperature & Distance from Nose Tip to Required Base Diameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Local Heat Transfer Rate?

In this formula, Local Heat Transfer Rate uses Nusselt Number, Thermal Conductivity, Adiabatic Wall Temperature, Wall Temperature & Distance from Nose Tip to Required Base Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Local Heat Transfer Rate = Stanton Number*Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)

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