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. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
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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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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20 Dimensionless groups Calculators

Bingham Number
​ Go Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity)
Viscous force given grashofs number
​ Go Viscous Force = sqrt((Buoyant Force*Inertia Force)/Grashof Number)
Eckert Number
​ Go Eckert Number = (Flow Velocity)^2/(Specific Heat Capacity*Temperature Difference)
Stanton number given Nusselt number and other dimensionless groups
​ Go Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number)
Nusselt number given Stanton number and other dimensionless groups
​ Go Nusselt Number = Stanton Number*Reynolds Number*Prandtl Number
Buoyant force given grashof number
​ Go Buoyant Force = Grashof Number*(Viscous Force^2)/Inertia Force
Internal conduction resistance given biot number
​ Go Internal Conduction Resistance = Biot Number*Surface Convection Resistance
Surface convection resistance
​ Go Surface Convection Resistance = Internal Conduction Resistance/Biot Number
Stanton number for convection
​ Go Stanton Number = Wall heat transfer rate/Heat Transfer by Convection
Modified Rayleigh number given Bingham number
​ Go Modified Rayleigh Number = Rayleigh Number/(1+Bingham Number)
Heat diffusivity given Lewis number
​ Go Heat Diffusivity = Lewis Number*Mass Diffusivity
Rayleigh Number
​ Go Rayleigh Number = Grashof Number*Prandtl Number
Reynolds number given Peclet number
​ Go Reynolds Number = Peclet Number/Prandtl Number
Prandtl number given Peclet number
​ Go Prandtl Number = Peclet Number/Reynolds Number
Reynolds number given Inertia and Viscous Force
​ Go Reynolds Number = Inertia Force/Viscous Force
Viscous force given Reynolds number
​ Go Viscous Force = Inertia Force/Reynolds Number
Pressure force given Euler number
​ Go Pressure Force = Euler Number*Inertia Force
Gravity force given Froude number
​ Go Gravity Force = Inertia Force/Froude Number
Froude Number
​ Go Froude Number = Inertia Force/Gravity Force
Euler Number
​ Go Euler Number = Pressure Force/Inertia Force

Nusselt number given Stanton number and other dimensionless groups Formula

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 -> 350 = 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. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe & 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.
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