Nusselt number for horizontal cylinders Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nusselt number(d) = (0.60+(0.387*((Grashof Number(d)*Prandtl Number)/((1+(0.559/Prandtl Number)^0.5625)^0.296))^0.167))^2
NuD = (0.60+(0.387*((GrD*Pr)/((1+(0.559/Pr)^0.5625)^0.296))^0.167))^2
This formula uses 3 Variables
Variables Used
Nusselt number(d) - Nusselt number(d) is the ratio of convective to conductive heat transfer across a boundary.
Grashof Number(d) - Grashof number(d) 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): 0.4 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
NuD = (0.60+(0.387*((GrD*Pr)/((1+(0.559/Pr)^0.5625)^0.296))^0.167))^2 --> (0.60+(0.387*((0.4*0.7)/((1+(0.559/0.7)^0.5625)^0.296))^0.167))^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)
(Calculation completed in 00.004 seconds)

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24 Nusselt Number Calculators

Nusselt number for medium aspect ratio
Go Nusselt Number(L) = (0.22*((Prandtl Number*Rayleigh number)/(0.2+Prandtl Number))^0.28)*(Height of Crack/Length)^-0.25
Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr
Go Nusselt number(d) = (((((Grashof Number(d)*Prandtl Number)/((1+((0.559/Prandtl Number)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2)
Nusselt number with large aspect ratio and lower RL
Go Nusselt Number(L) = 0.42*(Rayleigh number^0.25)*(Prandtl Number^0.012)*(Height of Crack/Length)^-0.3
Nusselt number for horizontal cylinders
Go Nusselt number(d) = (0.60+(0.387*((Grashof Number(d)*Prandtl Number)/((1+(0.559/Prandtl Number)^0.5625)^0.296))^0.167))^2
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 based on Diameter for Horizontal Cylinders
Go Nusselt number(d) = 0.36+((0.518*((Grashof Number(d)*Prandtl Number)^0.25))/((1+(0.559/Prandtl Number)^0.5625)^0.444))
Nusselt number for inclined plates with heated surface facing down
Go Nusselt Number = 0.56*((Grashof Number(e)*Prandtl Number(e)*cos(Angle))^0.25)
Nusselt number for both constant wall temperature and heat flux
Go Local Nusselt Number = 0.17*((Local Grashof Number*Nusselt Number*Prandtl Number)^0.25)
Nusselt number for small aspect ratio
Go Nusselt Number(L) = (0.18*((Prandtl Number*Rayleigh number)/(0.2+Prandtl Number))^0.29)
Nusselt Number based on Length for Rectangular Cavities
Go Nusselt Number(L) = 0.069*(Rayleigh number^0.333)*(Prandtl Number^0.074)
Nusselt Number based on Diameter for Liquid Metals
Go Nusselt number(d) = 0.53*((Grashof Number(d)*(Prandtl Number^2))^0.25)
Nusselt number for horizontal plate with constant heat flux
Go Nusselt Number = 0.16*((Grashof Number(e)*Prandtl Number(e))^0.333)
Nusselt number for higher value of GrPr
Go Average Nusselt Number = 0.59*(Grashof Number*Prandtl Number)^0.25
Nusselt number for horizontal plate with heated surface up
Go Nusselt Number = 0.13*(Grashof Number(e)*Prandtl Number(e))^0.333
Nusselt number for inclined plate with constant heat flux
Go Nusselt Number = 0.58*((Grashof Number(e)*Prandtl Number(e))^0.2)
Nusselt number for heated surface down
Go Nusselt Number = 0.58*((Grashof Number(e)*Prandtl Number(e))^0.2)
Nusselt number for sphere with Pr equal to 1
Go Nusselt Number = 2+0.43*(Grashof Number(d)*Prandtl Number)^0.25
Nusselt number for sphere
Go Nusselt Number = 2+0.50*(Grashof Number(d)*Prandtl Number)^0.25
Nusselt number for turbulent flow
Go Nusselt Number = 0.10*((Grashof Number*Prandtl Number)^0.333)
Nusselt number for horizontal plate with upper surface heated or lower surface cooled
Go Nusselt Number = 0.54*((Grashof Number*Prandtl Number)^0.25)
Nusselt number for horizontal plate with upper surface cooled or lower surface heated
Go Nusselt Number = 0.27*((Grashof Number*Prandtl Number)^0.25)
Nusselt number for horizontal plate with constant wall temperature
Go Nusselt Number = 0.15*(Grashof Number*Prandtl Number)^0.333
Nusselt number with large aspect ratio and higher RL
Go Nusselt Number(L) = 0.046*Rayleigh number^0.333

Nusselt number for horizontal cylinders Formula

Nusselt number(d) = (0.60+(0.387*((Grashof Number(d)*Prandtl Number)/((1+(0.559/Prandtl Number)^0.5625)^0.296))^0.167))^2
NuD = (0.60+(0.387*((GrD*Pr)/((1+(0.559/Pr)^0.5625)^0.296))^0.167))^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 horizontal cylinders?

Nusselt number for horizontal cylinders calculator uses Nusselt number(d) = (0.60+(0.387*((Grashof Number(d)*Prandtl Number)/((1+(0.559/Prandtl Number)^0.5625)^0.296))^0.167))^2 to calculate the Nusselt number(d), The Nusselt number for horizontal cylinders formula is defined as the ratio of convective to conductive heat transfer across a boundary. Nusselt number(d) is denoted by NuD symbol.

How to calculate Nusselt number for horizontal cylinders using this online calculator? To use this online calculator for Nusselt number for horizontal cylinders, enter Grashof Number(d) (GrD) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt number for horizontal cylinders calculation can be explained with given input values -> 0.815886 = (0.60+(0.387*((0.4*0.7)/((1+(0.559/0.7)^0.5625)^0.296))^0.167))^2.

FAQ

What is Nusselt number for horizontal cylinders?
The Nusselt number for horizontal cylinders formula is defined as the ratio of convective to conductive heat transfer across a boundary and is represented as NuD = (0.60+(0.387*((GrD*Pr)/((1+(0.559/Pr)^0.5625)^0.296))^0.167))^2 or Nusselt number(d) = (0.60+(0.387*((Grashof Number(d)*Prandtl Number)/((1+(0.559/Prandtl Number)^0.5625)^0.296))^0.167))^2. Grashof number(d) 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 for horizontal cylinders?
The Nusselt number for horizontal cylinders formula is defined as the ratio of convective to conductive heat transfer across a boundary is calculated using Nusselt number(d) = (0.60+(0.387*((Grashof Number(d)*Prandtl Number)/((1+(0.559/Prandtl Number)^0.5625)^0.296))^0.167))^2. To calculate Nusselt number for horizontal cylinders, you need Grashof Number(d) (GrD) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Grashof Number(d) & 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)?
In this formula, Nusselt number(d) uses Grashof Number(d) & Prandtl Number. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Nusselt number(d) = 0.36+((0.518*((Grashof Number(d)*Prandtl Number)^0.25))/((1+(0.559/Prandtl Number)^0.5625)^0.444))
  • Nusselt number(d) = 0.53*((Grashof Number(d)*(Prandtl Number^2))^0.25)
  • Nusselt number(d) = (((((Grashof Number(d)*Prandtl Number)/((1+((0.559/Prandtl Number)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2)
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