Nusselt number given Stanton number and other dimensionless groups Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nusselt Number = Stanton Number*Reynolds Number*Prandtl Number
Nu = St*Re*Pr
This formula uses 4 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.
Stanton Number - The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.
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
Stanton Number: 0.4 --> No Conversion Required
Reynolds Number: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nu = St*Re*Pr --> 0.4*5000*0.7
Evaluating ... ...
Nu = 1400
STEP 3: Convert Result to Output's Unit
1400 --> No Conversion Required
FINAL ANSWER
1400 <-- Nusselt Number
(Calculation completed in 00.004 seconds)

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Nusselt Number Calculators

Nusselt number for all value of GrPr and constant wall temperature
​ LaTeX ​ Go Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.492/Prandtl Number)^0.5625)^0.296)))^2
Nusselt number for all value of GrPr and constant heat flux
​ LaTeX ​ Go Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.437/Prandtl Number)^0.5625)^0.296)))^2
Nusselt number for higher value of GrPr
​ LaTeX ​ Go Average Nusselt Number upto L = 0.59*(Grashof Number*Prandtl Number)^0.25
Nusselt number for turbulent flow
​ LaTeX ​ Go Nusselt Number = 0.10*((Grashof Number*Prandtl Number)^0.333)

Nusselt number given Stanton number and other dimensionless groups Formula

​LaTeX ​Go
Nusselt Number = Stanton Number*Reynolds Number*Prandtl Number
Nu = St*Re*Pr

What is convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.

How to Calculate Nusselt number given Stanton number and other dimensionless groups?

Nusselt number given Stanton number and other dimensionless groups calculator uses Nusselt Number = Stanton Number*Reynolds Number*Prandtl Number to calculate the Nusselt Number, The Nusselt number given Stanton number and other dimensionless groups formula is defined as a dimensionless parameter used in calculations of heat transfer between a moving fluid and a solid body. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number given Stanton number and other dimensionless groups using this online calculator? To use this online calculator for Nusselt number given Stanton number and other dimensionless groups, enter Stanton Number (St), Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt number given Stanton number and other dimensionless groups calculation can be explained with given input values -> 1.4 = 0.4*5000*0.7.

FAQ

What is Nusselt number given Stanton number and other dimensionless groups?
The Nusselt number given Stanton number and other dimensionless groups formula is defined as a dimensionless parameter used in calculations of heat transfer between a moving fluid and a solid body and is represented as Nu = St*Re*Pr or Nusselt Number = Stanton Number*Reynolds Number*Prandtl Number. The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid, 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 given Stanton number and other dimensionless groups?
The Nusselt number given Stanton number and other dimensionless groups formula is defined as a dimensionless parameter used in calculations of heat transfer between a moving fluid and a solid body is calculated using Nusselt Number = Stanton Number*Reynolds Number*Prandtl Number. To calculate Nusselt number given Stanton number and other dimensionless groups, you need Stanton Number (St), Reynolds Number (Re) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Stanton Number, 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 Stanton Number, Reynolds Number & Prandtl Number. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.437/Prandtl Number)^0.5625)^0.296)))^2
  • Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.492/Prandtl Number)^0.5625)^0.296)))^2
  • Nusselt Number = 0.10*((Grashof Number*Prandtl Number)^0.333)
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