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 = (fDarcy/8)*(Re-1000)*Pr/(1+12.7*((fDarcy/8)^(0.5))*((Pr)^(2/3)-1))
This formula uses 4 Variables
Variables Used
Nusselt Number - 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 - 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 - 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: 0.04 --> 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 = (fDarcy/8)*(Re-1000)*Pr/(1+12.7*((fDarcy/8)^(0.5))*((Pr)^(2/3)-1)) --> (0.04/8)*(5000-1000)*0.7/(1+12.7*((0.04/8)^(0.5))*((0.7)^(2/3)-1))
Evaluating ... ...
Nu = 17.2849322852078
STEP 3: Convert Result to Output's Unit
17.2849322852078 --> No Conversion Required
FINAL ANSWER
17.2849322852078 17.28493 <-- Nusselt Number
(Calculation completed in 00.004 seconds)

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Birla Institute of Technology & Science (BITS), Pilani
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Co Relation of Dimensionless Numbers Calculators

Nusselt Number for Transitional and Rough Flow in Circular Tube
​ Go 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))
Reynolds Number for Non-Circular Tubes
​ Go Reynolds Number = Density*Fluid Velocity*Characteristic Length/Dynamic Viscosity
Reynolds Number for Circular Tubes
​ Go Reynolds Number = Density*Fluid Velocity*Diameter of Tube/Dynamic Viscosity
Prandtl Number
​ Go Prandtl Number = Specific Heat Capacity*Dynamic Viscosity/Thermal Conductivity

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 = (fDarcy/8)*(Re-1000)*Pr/(1+12.7*((fDarcy/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 (fDarcy), 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 -> 17.28493 = (0.04/8)*(5000-1000)*0.7/(1+12.7*((0.04/8)^(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 = (fDarcy/8)*(Re-1000)*Pr/(1+12.7*((fDarcy/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, 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 (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 (fDarcy), 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.
How many ways are there to calculate Nusselt Number?
In this formula, Nusselt Number uses Darcy Friction Factor, Reynolds Number & Prandtl Number. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.3
  • Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.4
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