Average Nusselt number upto length L given Reynolds number 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%

✖Average Nusselt number is the ratio between heat transfer by convection (α) and heat transfer by conduction alone.ⓘ Average Nusselt number upto length L given Reynolds number [Nu_avgL]

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Average Nusselt number upto length L given Reynolds number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Nusselt Number = 0.037*(Reynolds Number^0.8)*(Prandtl Number^0.33)
Nu_avgL = 0.037*(Re^0.8)*(Pr^0.33)
This formula uses 3 Variables

Variables Used

Average Nusselt Number - Average Nusselt number is the ratio between heat transfer by convection (α) and heat transfer by conduction alone.
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_avgL = 0.037*(Re^0.8)*(Pr^0.33) --> 0.037*(5000^0.8)*(0.7^0.33)

Evaluating ... ...

Nu_avgL = 29.9405711499839

STEP 3: Convert Result to Output's Unit

29.9405711499839 --> No Conversion Required

FINAL ANSWER

29.9405711499839 ≈ 29.94057 <-- Average Nusselt Number

(Calculation completed in 00.005 seconds)

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Home » Physics » Heat and Mass Transfer » External flow » Flow over Flat Plate » Mechanical » Turbulent Flow » Average Nusselt number upto length L given Reynolds number

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< Turbulent Flow Calculators

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Hydrodynamic boundary layer thickness given displacement thickness

LaTeX Go Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness at X

Displacement thickness at X

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Average Nusselt number upto length L given Reynolds number Formula

LaTeX Go

Average Nusselt Number = 0.037*(Reynolds Number^0.8)*(Prandtl Number^0.33)
Nu_avgL = 0.037*(Re^0.8)*(Pr^0.33)

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 Average Nusselt number upto length L given Reynolds number?

Average Nusselt number upto length L given Reynolds number calculator uses Average Nusselt Number = 0.037*(Reynolds Number^0.8)*(Prandtl Number^0.33) to calculate the Average Nusselt Number, Average Nusselt number upto length L given Reynolds number formula is defined as a dimensionless value that characterizes the convective heat transfer between a fluid and a flat plate, providing a measure of the average heat transfer coefficient over the length of the plate. Average Nusselt Number is denoted by Nu_avgL symbol.

How to calculate Average Nusselt number upto length L given Reynolds number using this online calculator? To use this online calculator for Average Nusselt number upto length L given Reynolds number, enter Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Average Nusselt number upto length L given Reynolds number calculation can be explained with given input values -> 29.94057 = 0.037*(5000^0.8)*(0.7^0.33).

FAQ

What is Average Nusselt number upto length L given Reynolds number?

Average Nusselt number upto length L given Reynolds number formula is defined as a dimensionless value that characterizes the convective heat transfer between a fluid and a flat plate, providing a measure of the average heat transfer coefficient over the length of the plate and is represented as Nu_avgL = 0.037*(Re^0.8)*(Pr^0.33) or Average Nusselt Number = 0.037*(Reynolds Number^0.8)*(Prandtl Number^0.33). 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 Average Nusselt number upto length L given Reynolds number?

Average Nusselt number upto length L given Reynolds number formula is defined as a dimensionless value that characterizes the convective heat transfer between a fluid and a flat plate, providing a measure of the average heat transfer coefficient over the length of the plate is calculated using Average Nusselt Number = 0.037*(Reynolds Number^0.8)*(Prandtl Number^0.33). To calculate Average Nusselt number upto length L given Reynolds number, 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.

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