Nusselt number for constant wall temperature Calculator

✖The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.ⓘ Reynolds Number [Re]			+10% -10%
✖The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.ⓘ Prandtl Number [Pr]			+10% -10%

✖The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.ⓘ Nusselt number for constant wall temperature [Nu]

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Nusselt number for constant wall temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333)
Nu = 0.332*(Re^0.5)*(Pr^0.333)
This formula uses 3 Variables

Variables Used

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.
Reynolds Number - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
Prandtl Number - The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 0.332*(Re^0.5)*(Pr^0.333) --> 0.332*(5000^0.5)*(0.7^0.333)

Evaluating ... ...

Nu = 20.8468640010901

STEP 3: Convert Result to Output's Unit

20.8468640010901 --> No Conversion Required

FINAL ANSWER

20.8468640010901 ≈ 20.84686 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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< Laminar Flow Calculators

Hydrodynamic boundary layer thickness at distance X from leading edge

LaTeX Go Hydrodynamic Boundary Layer Thickness = 5*Distance from Point to YY Axis*Reynolds Number(x)^(-0.5)

Thermal boundary layer thickness at distance X from leading edge

LaTeX Go Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)

Displacement thickness

LaTeX Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3

Momentum thickness

LaTeX Go Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7

Nusselt number for constant wall temperature Formula

LaTeX Go

Nusselt Number = 0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333)
Nu = 0.332*(Re^0.5)*(Pr^0.333)

What is external flow?

In fluid mechanics, external flow is such a flow that boundary layers develop freely, without constraints imposed by adjacent surfaces. Accordingly, there will always exist a region of the flow outside the boundary layer in which velocity, temperature, and/or concentration gradients are negligible. It can be defined as the flow of a fluid around a body that is completely submerged in it.
An example includes fluid motion over a flat plate (inclined or parallel to the free stream velocity) and flow over curved surfaces such as a sphere, cylinder, airfoil, or turbine blade, air flowing around an airplane and water flowing around the submarines.

How to Calculate Nusselt number for constant wall temperature?

Nusselt number for constant wall temperature calculator uses Nusselt Number = 0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333) to calculate the Nusselt Number, Nusselt number for constant wall temperature formula is defined as a dimensionless quantity used to describe the convective heat transfer between a fluid and a solid surface, specifically in the context of flow over a flat plate, where it characterizes the ratio of convective to conductive heat transfer. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number for constant wall temperature using this online calculator? To use this online calculator for Nusselt number for constant wall temperature, enter Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt number for constant wall temperature calculation can be explained with given input values -> 20.84686 = 0.332*(5000^0.5)*(0.7^0.333).

FAQ

What is Nusselt number for constant wall temperature?

Nusselt number for constant wall temperature formula is defined as a dimensionless quantity used to describe the convective heat transfer between a fluid and a solid surface, specifically in the context of flow over a flat plate, where it characterizes the ratio of convective to conductive heat transfer and is represented as Nu = 0.332*(Re^0.5)*(Pr^0.333) or Nusselt Number = 0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333). The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities & The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

How to calculate Nusselt number for constant wall temperature?

Nusselt number for constant wall temperature formula is defined as a dimensionless quantity used to describe the convective heat transfer between a fluid and a solid surface, specifically in the context of flow over a flat plate, where it characterizes the ratio of convective to conductive heat transfer is calculated using Nusselt Number = 0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333). To calculate Nusselt number for constant wall temperature, you need Reynolds Number (Re) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Reynolds Number & Prandtl Number 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 Nusselt Number?

In this formula, Nusselt Number uses Reynolds Number & Prandtl Number. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = 0.332*(Reynolds Number(x)^0.5)*(Prandtl Number^0.333)*(1-(Leading Edge Distance/Distance from Point to YY Axis)^0.75)^(-0.333)
Nusselt Number = (0.3387*(Reynolds Number^0.5)*(Prandtl Number^0.333))/((1+(0.0468/Prandtl Number)^(0.67))^0.25)
Nusselt Number = 0.565*(Reynolds Number*Prandtl Number)^0.5

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