Nusselt number for short lengths Calculator

✖Reynolds Number Dia is the ratio of inertial forces to viscous forces.ⓘ Reynolds Number Dia [Re_D]			+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%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+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 short lengths [Nu]

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Nusselt number for short lengths Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333
Nu = 1.67*(Re_D*Pr*D/L)^0.333
This formula uses 5 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 Dia - Reynolds Number Dia is the ratio of inertial forces to viscous forces.
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.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number Dia: 1600 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Diameter: 10 Meter --> 10 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 1.67*(Re_D*Pr*D/L)^0.333 --> 1.67*(1600*0.7*10/3)^0.333

Evaluating ... ...

Nu = 25.8359654368098

STEP 3: Convert Result to Output's Unit

25.8359654368098 --> No Conversion Required

FINAL ANSWER

25.8359654368098 ≈ 25.83597 <-- Nusselt Number

(Calculation completed in 00.021 seconds)

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Nusselt number for short lengths Formula

LaTeX Go

Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333
Nu = 1.67*(Re_D*Pr*D/L)^0.333

What is internal flow?

internal flow is a flow for which the fluid is confined by a surface. Hence the boundary layer is unable to develop without eventually being constrained. The internal flow configuration represents a convenient geometry for heating and cooling fluids used in chemical processing, environmental control, and energy conversion technologies.

An example includes flow in a pipe.

How to Calculate Nusselt number for short lengths?

Nusselt number for short lengths calculator uses Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333 to calculate the Nusselt Number, The Nusselt number for short lengths formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number for short lengths using this online calculator? To use this online calculator for Nusselt number for short lengths, enter Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter (D) & Length (L) and hit the calculate button. Here is how the Nusselt number for short lengths calculation can be explained with given input values -> 25.83597 = 1.67*(1600*0.7*10/3)^0.333.

FAQ

What is Nusselt number for short lengths?

The Nusselt number for short lengths formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone and is represented as Nu = 1.67*(Re_D*Pr*D/L)^0.333 or Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333. Reynolds Number Dia is the ratio of inertial forces to viscous forces, 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, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & Length is the measurement or extent of something from end to end.

How to calculate Nusselt number for short lengths?

The Nusselt number for short lengths formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone is calculated using Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333. To calculate Nusselt number for short lengths, you need Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter (D) & Length (L). With our tool, you need to enter the respective value for Reynolds Number Dia, Prandtl Number, Diameter & Length 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 Dia, Prandtl Number, Diameter & Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = 3.66+((0.0668*(Diameter/Length)*Reynolds Number Dia*Prandtl Number)/(1+0.04*((Diameter/Length)*Reynolds Number Dia*Prandtl Number)^0.67))
Nusselt Number = 3.66+((0.104*(Reynolds Number Dia*Prandtl Number*(Diameter/Length)))/(1+0.16*(Reynolds Number Dia*Prandtl Number*(Diameter/Length))^0.8))
Nusselt Number = 1.86*(((Reynolds Number Dia*Prandtl Number)/(Length/Diameter))^0.333)*(Dynamic Viscosity at Bulk Temperature/Dynamic Viscosity at Wall Temperature)^0.14

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