Local Nusselt Number for Plate Heated over its Entire Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2))
Nux = 0.332*(Pr^(1/3))*(Rel^(1/2))
This formula uses 3 Variables
Variables Used
Local Nusselt number - Local Nusselt number is the ratio of convective to conductive heat transfer across a boundary.
Prandtl Number - 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.
Local Reynolds Number - Local Reynolds Number is the ratio of inertial forces to viscous forces.
STEP 1: Convert Input(s) to Base Unit
Prandtl Number: 7.29 --> No Conversion Required
Local Reynolds Number: 0.55 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nux = 0.332*(Pr^(1/3))*(Rel^(1/2)) --> 0.332*(7.29^(1/3))*(0.55^(1/2))
Evaluating ... ...
Nux = 0.477414132828175
STEP 3: Convert Result to Output's Unit
0.477414132828175 --> No Conversion Required
FINAL ANSWER
0.477414132828175 0.477414 <-- Local Nusselt number
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
Ayush gupta has created this Calculator and 300+ more calculators!
Verifier Image
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

Convection Heat Transfer Calculators

Reynolds Number given Mass Velocity
​ LaTeX ​ Go Reynolds Number in Tube = (Mass Velocity*Diameter of Tube)/(Dynamic Viscosity)
Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube
​ LaTeX ​ Go Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity
Mass Velocity
​ LaTeX ​ Go Mass Velocity = Mass Flow Rate/Cross Sectional Area
Mass Velocity given Mean Velocity
​ LaTeX ​ Go Mass Velocity = Density of Fluid*Mean velocity

Local Nusselt Number for Plate Heated over its Entire Length Formula

​LaTeX ​Go
Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2))
Nux = 0.332*(Pr^(1/3))*(Rel^(1/2))

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.

What are the Types of Convection?

There are two types of convection, and they are: Natural convection: When convection takes place due to buoyant force as there is a difference in densities caused by the difference in temperatures it is known as natural convection. Examples of natural convection are oceanic winds. Forced convection: When external sources such as fans and pumps are used for creating induced convection, it is known as forced convection. Examples of forced convection are using water heaters or geysers for instant heating of water and using a fan on a hot summer day.

How to Calculate Local Nusselt Number for Plate Heated over its Entire Length?

Local Nusselt Number for Plate Heated over its Entire Length calculator uses Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2)) to calculate the Local Nusselt number, The Local Nusselt Number for Plate Heated over its Entire Length formula is defined as the function of Reynolds number and Prandtl Number. The local values of the heat-transfer coefficient in terms of the distance from the leading edge of the plate and the fluid properties. Local Nusselt number is denoted by Nux symbol.

How to calculate Local Nusselt Number for Plate Heated over its Entire Length using this online calculator? To use this online calculator for Local Nusselt Number for Plate Heated over its Entire Length, enter Prandtl Number (Pr) & Local Reynolds Number (Rel) and hit the calculate button. Here is how the Local Nusselt Number for Plate Heated over its Entire Length calculation can be explained with given input values -> 0.477414 = 0.332*(7.29^(1/3))*(0.55^(1/2)).

FAQ

What is Local Nusselt Number for Plate Heated over its Entire Length?
The Local Nusselt Number for Plate Heated over its Entire Length formula is defined as the function of Reynolds number and Prandtl Number. The local values of the heat-transfer coefficient in terms of the distance from the leading edge of the plate and the fluid properties and is represented as Nux = 0.332*(Pr^(1/3))*(Rel^(1/2)) or Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2)). 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 & Local Reynolds Number is the ratio of inertial forces to viscous forces.
How to calculate Local Nusselt Number for Plate Heated over its Entire Length?
The Local Nusselt Number for Plate Heated over its Entire Length formula is defined as the function of Reynolds number and Prandtl Number. The local values of the heat-transfer coefficient in terms of the distance from the leading edge of the plate and the fluid properties is calculated using Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2)). To calculate Local Nusselt Number for Plate Heated over its Entire Length, you need Prandtl Number (Pr) & Local Reynolds Number (Rel). With our tool, you need to enter the respective value for Prandtl Number & Local Reynolds 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 Local Nusselt number?
In this formula, Local Nusselt number uses Prandtl Number & Local Reynolds Number. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Local Nusselt number = 0.453*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3))
  • Local Nusselt number = (0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4)
  • Local Nusselt number = (0.4637*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0207/Prandtl Number)^(2/3)))^(1/4)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!