Nusselt number for all value of GrPr and constant wall temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.492/Prandtl Number)^0.5625)^0.296)))^2
Nu = (0.825+((0.387*((G*Pr)^0.167))/((1+(0.492/Pr)^0.5625)^0.296)))^2
This formula uses 3 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.
Grashof Number - Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid.
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
Grashof Number: 0.5 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nu = (0.825+((0.387*((G*Pr)^0.167))/((1+(0.492/Pr)^0.5625)^0.296)))^2 --> (0.825+((0.387*((0.5*0.7)^0.167))/((1+(0.492/0.7)^0.5625)^0.296)))^2
Evaluating ... ...
Nu = 1.20342792990751
STEP 3: Convert Result to Output's Unit
1.20342792990751 --> No Conversion Required
FINAL ANSWER
1.20342792990751 1.203428 <-- Nusselt Number
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has created this Calculator and 500+ more calculators!
Verifier Image
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

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 for all value of GrPr and constant wall temperature Formula

​LaTeX ​Go
Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.492/Prandtl Number)^0.5625)^0.296)))^2
Nu = (0.825+((0.387*((G*Pr)^0.167))/((1+(0.492/Pr)^0.5625)^0.296)))^2

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.

Convection is the process of heat transfer in fluids by the actual motion of matter.
It happens in liquids and gases.
It may be natural or forced.
It involves a bulk transfer of portions of the fluid.

How to Calculate Nusselt number for all value of GrPr and constant wall temperature?

Nusselt number for all value of GrPr and constant wall temperature calculator uses Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.492/Prandtl Number)^0.5625)^0.296)))^2 to calculate the Nusselt Number, The Nusselt number for all value of GrPr and constant wall temperature formula is defined as ratio of convective to conductive heat transfer across boundary. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number for all value of GrPr and constant wall temperature using this online calculator? To use this online calculator for Nusselt number for all value of GrPr and constant wall temperature, enter Grashof Number (G) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt number for all value of GrPr and constant wall temperature calculation can be explained with given input values -> 1.203428 = (0.825+((0.387*((0.5*0.7)^0.167))/((1+(0.492/0.7)^0.5625)^0.296)))^2.

FAQ

What is Nusselt number for all value of GrPr and constant wall temperature?
The Nusselt number for all value of GrPr and constant wall temperature formula is defined as ratio of convective to conductive heat transfer across boundary and is represented as Nu = (0.825+((0.387*((G*Pr)^0.167))/((1+(0.492/Pr)^0.5625)^0.296)))^2 or Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.492/Prandtl Number)^0.5625)^0.296)))^2. Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid & 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 for all value of GrPr and constant wall temperature?
The Nusselt number for all value of GrPr and constant wall temperature formula is defined as ratio of convective to conductive heat transfer across boundary is calculated using Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.492/Prandtl Number)^0.5625)^0.296)))^2. To calculate Nusselt number for all value of GrPr and constant wall temperature, you need Grashof Number (G) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Grashof 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 Grashof 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 = 0.10*((Grashof Number*Prandtl Number)^0.333)
  • Nusselt Number = 0.54*((Grashof Number*Prandtl Number)^0.25)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!