Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr Calculator

✖Grashof Number(d) Based on Diameter is a dimensionless number in fluid dynamics and heat transfer which approximates the ratio of the buoyancy to viscous force acting on a fluid.ⓘ Grashof Number(d) Based on Diameter [GrD]			+10% -10%
✖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.ⓘ Prandtl Number [Pr]			+10% -10%

✖Nusselt number(d) Based on Diameter is the ratio of convective to conductive heat transfer across a boundary.ⓘ Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr [NuD]

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Formula

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Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr

Formula

NuD = {((({(\frac{GrD \cdot Pr}{{(1 + ({(\frac{0.559}{Pr})}^{0.5625}))}^{0.296}})}^{.167}) \cdot (0.387)) + 0.60)}^{2}

Example

0.815886 = {((({(\frac{0.40 \cdot 0.7}{{(1 + ({(\frac{0.559}{0.7})}^{0.5625}))}^{0.296}})}^{.167}) \cdot (0.387)) + 0.60)}^{2}

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Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt number(d) Based on Diameter = (((((Grashof Number(d) Based on Diameter*Prandtl Number)/((1+((0.559/Prandtl Number)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2)
NuD = (((((GrD*Pr)/((1+((0.559/Pr)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2)
This formula uses 3 Variables

Variables Used

Nusselt number(d) Based on Diameter - Nusselt number(d) Based on Diameter is the ratio of convective to conductive heat transfer across a boundary.
Grashof Number(d) Based on Diameter - Grashof Number(d) Based on Diameter is a dimensionless number in fluid dynamics and heat transfer which 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(d) Based on Diameter: 0.4 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

NuD = (((((GrD*Pr)/((1+((0.559/Pr)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2) --> (((((0.4*0.7)/((1+((0.559/0.7)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2)

Evaluating ... ...

NuD = 0.815886055900308

STEP 3: Convert Result to Output's Unit

0.815886055900308 --> No Conversion Required

FINAL ANSWER

0.815886055900308 ≈ 0.815886 <-- Nusselt number(d) Based on Diameter

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Free convection » Mechanical » Nusselt Number » Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr

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< Nusselt Number Calculators

Nusselt number for all value of GrPr and constant wall temperature

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

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

Go Average Nusselt Number upto L = 0.59*(Grashof Number*Prandtl Number)^0.25

Nusselt number for turbulent flow

Go Nusselt Number = 0.10*((Grashof Number*Prandtl Number)^0.333)

Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr Formula

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 is Nusselt Number?

The Nusselt number is defined as the ratio of convection heat transfer to fluid conduction heat transfer under the same conditions.

How to Calculate Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr?

Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr calculator uses Nusselt number(d) Based on Diameter = (((((Grashof Number(d) Based on Diameter*Prandtl Number)/((1+((0.559/Prandtl Number)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2) to calculate the Nusselt number(d) Based on Diameter, The Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr formula is defined as the ratio of convective to conductive heat transfer across a boundary for the range of 10^-6 to 10^12. Nusselt number(d) Based on Diameter is denoted by NuD symbol.

How to calculate Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr using this online calculator? To use this online calculator for Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr, enter Grashof Number(d) Based on Diameter (GrD) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr calculation can be explained with given input values -> 0.815886 = (((((0.4*0.7)/((1+((0.559/0.7)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2).

FAQ

What is Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr?

The Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr formula is defined as the ratio of convective to conductive heat transfer across a boundary for the range of 10^-6 to 10^12 and is represented as NuD = (((((GrD*Pr)/((1+((0.559/Pr)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2) or Nusselt number(d) Based on Diameter = (((((Grashof Number(d) Based on Diameter*Prandtl Number)/((1+((0.559/Prandtl Number)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2). Grashof Number(d) Based on Diameter is a dimensionless number in fluid dynamics and heat transfer which 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 based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr?

The Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr formula is defined as the ratio of convective to conductive heat transfer across a boundary for the range of 10^-6 to 10^12 is calculated using Nusselt number(d) Based on Diameter = (((((Grashof Number(d) Based on Diameter*Prandtl Number)/((1+((0.559/Prandtl Number)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2). To calculate Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr, you need Grashof Number(d) Based on Diameter (GrD) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Grashof Number(d) Based on Diameter & 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(d) Based on Diameter?

In this formula, Nusselt number(d) Based on Diameter uses Grashof Number(d) Based on Diameter & Prandtl Number. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nusselt number(d) Based on Diameter = (0.60+(0.387*((Grashof Number(d) Based on Diameter*Prandtl Number)/((1+(0.559/Prandtl Number)^0.5625)^0.296))^0.167))^2
Nusselt number(d) Based on Diameter = 0.36+((0.518*((Grashof Number(d) Based on Diameter*Prandtl Number)^0.25))/((1+(0.559/Prandtl Number)^0.5625)^0.444))
Nusselt number(d) Based on Diameter = 0.53*((Grashof Number(d) Based on Diameter*(Prandtl Number^2))^0.25)

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