Nusselt number when property variation is larger due to temperature variation 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%
✖Prandtl Number at Film Temperature is the ratio of momentum diffusivity to thermal diffusivity at the film temperature.ⓘ Prandtl Number at Film Temperature [P_f]			+10% -10%
✖Prandtl Number at Wall Temperature is the ratio of momentum diffusivity to thermal diffusivity at the wall temperature.ⓘ Prandtl Number at Wall Temperature [Pr_w]			+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 when property variation is larger due to temperature variation [Nu]

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Nusselt number when property variation is larger due to temperature variation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25
Nu = 0.25*(Re^0.6)*(Pr^0.38)*(P_f/Pr_w)^0.25
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 - 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.
Prandtl Number at Film Temperature - Prandtl Number at Film Temperature is the ratio of momentum diffusivity to thermal diffusivity at the film temperature.
Prandtl Number at Wall Temperature - Prandtl Number at Wall Temperature is the ratio of momentum diffusivity to thermal diffusivity at the wall temperature.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 5 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Prandtl Number at Film Temperature: 19 --> No Conversion Required
Prandtl Number at Wall Temperature: 0.82 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 0.25*(Re^0.6)*(Pr^0.38)*(P_f/Pr_w)^0.25 --> 0.25*(5^0.6)*(0.7^0.38)*(19/0.82)^0.25

Evaluating ... ...

Nu = 1.25803928649185

STEP 3: Convert Result to Output's Unit

1.25803928649185 --> No Conversion Required

FINAL ANSWER

1.25803928649185 ≈ 1.258039 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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< Flow over Cylinders Calculators

Nusselt number given dynamic viscosity

LaTeX Go Nusselt Number = (0.4*(Reynolds Number^0.5)+0.06*(Reynolds Number^0.67))*(Prandtl Number^0.4)*(Dynamic Viscosity at Free Stream Temperature/Dynamic Viscosity at Wall Temperature)^0.25

Nusselt number when property variation is larger due to temperature variation

LaTeX Go Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25

Nusselt Number based on Diameter

LaTeX Go Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33

Nusselt number for liquids and gases

LaTeX Go Nusselt Number = (0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38

Nusselt number when property variation is larger due to temperature variation Formula

LaTeX Go

Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25
Nu = 0.25*(Re^0.6)*(Pr^0.38)*(P_f/Pr_w)^0.25

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 when property variation is larger due to temperature variation?

Nusselt number when property variation is larger due to temperature variation calculator uses Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25 to calculate the Nusselt Number, Nusselt number when property variation is larger due to temperature variation formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, where the thermal conductivity of the fluid varies significantly with temperature. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number when property variation is larger due to temperature variation using this online calculator? To use this online calculator for Nusselt number when property variation is larger due to temperature variation, enter Reynolds Number (Re), Prandtl Number (Pr), Prandtl Number at Film Temperature (P_f) & Prandtl Number at Wall Temperature (Pr_w) and hit the calculate button. Here is how the Nusselt number when property variation is larger due to temperature variation calculation can be explained with given input values -> 0.59489 = 0.25*(5^0.6)*(0.7^0.38)*(19/0.82)^0.25.

FAQ

What is Nusselt number when property variation is larger due to temperature variation?

Nusselt number when property variation is larger due to temperature variation formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, where the thermal conductivity of the fluid varies significantly with temperature and is represented as Nu = 0.25*(Re^0.6)*(Pr^0.38)*(P_f/Pr_w)^0.25 or Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25. 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, Prandtl Number at Film Temperature is the ratio of momentum diffusivity to thermal diffusivity at the film temperature & Prandtl Number at Wall Temperature is the ratio of momentum diffusivity to thermal diffusivity at the wall temperature.

How to calculate Nusselt number when property variation is larger due to temperature variation?

Nusselt number when property variation is larger due to temperature variation formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, where the thermal conductivity of the fluid varies significantly with temperature is calculated using Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25. To calculate Nusselt number when property variation is larger due to temperature variation, you need Reynolds Number (Re), Prandtl Number (Pr), Prandtl Number at Film Temperature (P_f) & Prandtl Number at Wall Temperature (Pr_w). With our tool, you need to enter the respective value for Reynolds Number, Prandtl Number, Prandtl Number at Film Temperature & Prandtl Number at Wall Temperature 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, Prandtl Number at Film Temperature & Prandtl Number at Wall Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33
Nusselt Number = (0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38
Nusselt Number = (0.4*(Reynolds Number^0.5)+0.06*(Reynolds Number^0.67))*(Prandtl Number^0.4)*(Dynamic Viscosity at Free Stream Temperature/Dynamic Viscosity at Wall Temperature)^0.25

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