Nusselt Number for Transitional and Rough Flow in Circular Tube Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nusselt Number = (Darcy Friction Factor/8)*(Reynolds Number-1000)*Prandtl Number/(1+12.7*((Darcy Friction Factor/8)^(0.5))*((Prandtl Number)^(2/3)-1))
Nu = (f/8)*(Re-1000)*Pr/(1+12.7*((f/8)^(0.5))*((Pr)^(2/3)-1))
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.
Darcy Friction Factor - Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.
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
Darcy Friction Factor: 0.1 --> 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 = (f/8)*(Re-1000)*Pr/(1+12.7*((f/8)^(0.5))*((Pr)^(2/3)-1)) --> (0.1/8)*(5000-1000)*0.7/(1+12.7*((0.1/8)^(0.5))*((0.7)^(2/3)-1))
Evaluating ... ...
Nu = 50.0349611527962
STEP 3: Convert Result to Output's Unit
50.0349611527962 --> No Conversion Required
FINAL ANSWER
50.0349611527962 <-- Nusselt Number
(Calculation completed in 00.000 seconds)

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Created by Ishan Gupta
Birla Institute of Technology & Science (BITS), Pilani
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Nusselt Number for Transitional and Rough Flow in Circular Tube Formula

Nusselt Number = (Darcy Friction Factor/8)*(Reynolds Number-1000)*Prandtl Number/(1+12.7*((Darcy Friction Factor/8)^(0.5))*((Prandtl Number)^(2/3)-1))
Nu = (f/8)*(Re-1000)*Pr/(1+12.7*((f/8)^(0.5))*((Pr)^(2/3)-1))

What is the Nusselt number?

The Nusselt number (Nu) is the ratio of convective to conductive heat transfer at a boundary in a fluid.

How to Calculate Nusselt Number for Transitional and Rough Flow in Circular Tube?

Nusselt Number for Transitional and Rough Flow in Circular Tube calculator uses Nusselt Number = (Darcy Friction Factor/8)*(Reynolds Number-1000)*Prandtl Number/(1+12.7*((Darcy Friction Factor/8)^(0.5))*((Prandtl Number)^(2/3)-1)) to calculate the Nusselt Number, The Nusselt Number for Transitional and Rough Flow in Circular Tube is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection (fluid motion) and diffusion (conduction). The conductive component is measured under the same conditions as the convective but for a hypothetically motionless fluid. It is a dimensionless number, closely related to the fluid's Rayleigh number. A Nusselt number of value one represents heat transfer by pure conduction. This calculator is based on the Gnielinski correlation. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt Number for Transitional and Rough Flow in Circular Tube using this online calculator? To use this online calculator for Nusselt Number for Transitional and Rough Flow in Circular Tube, enter Darcy Friction Factor (f), Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt Number for Transitional and Rough Flow in Circular Tube calculation can be explained with given input values -> 50.03496 = (0.1/8)*(5000-1000)*0.7/(1+12.7*((0.1/8)^(0.5))*((0.7)^(2/3)-1)).

FAQ

What is Nusselt Number for Transitional and Rough Flow in Circular Tube?
The Nusselt Number for Transitional and Rough Flow in Circular Tube is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection (fluid motion) and diffusion (conduction). The conductive component is measured under the same conditions as the convective but for a hypothetically motionless fluid. It is a dimensionless number, closely related to the fluid's Rayleigh number. A Nusselt number of value one represents heat transfer by pure conduction. This calculator is based on the Gnielinski correlation and is represented as Nu = (f/8)*(Re-1000)*Pr/(1+12.7*((f/8)^(0.5))*((Pr)^(2/3)-1)) or Nusselt Number = (Darcy Friction Factor/8)*(Reynolds Number-1000)*Prandtl Number/(1+12.7*((Darcy Friction Factor/8)^(0.5))*((Prandtl Number)^(2/3)-1)). Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart, 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 for Transitional and Rough Flow in Circular Tube?
The Nusselt Number for Transitional and Rough Flow in Circular Tube is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection (fluid motion) and diffusion (conduction). The conductive component is measured under the same conditions as the convective but for a hypothetically motionless fluid. It is a dimensionless number, closely related to the fluid's Rayleigh number. A Nusselt number of value one represents heat transfer by pure conduction. This calculator is based on the Gnielinski correlation is calculated using Nusselt Number = (Darcy Friction Factor/8)*(Reynolds Number-1000)*Prandtl Number/(1+12.7*((Darcy Friction Factor/8)^(0.5))*((Prandtl Number)^(2/3)-1)). To calculate Nusselt Number for Transitional and Rough Flow in Circular Tube, you need Darcy Friction Factor (f), Reynolds Number (Re) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Darcy Friction Factor, 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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