Nusselt Number in Forced Convection for Cross Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nusselt Number = 0.3+ (((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/ ((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))* ((1+((Reynolds Number/282000)^(5/8)))^(4/5)))
Nu = 0.3+ (((((0.62)*((Re)^(1/2))*((Pr)^(1/3))))/ ((1+((0.4/Pr)^(2/3)))^(1/4)))* ((1+((Re/282000)^(5/8)))^(4/5)))
This formula uses 3 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.
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
Reynolds Number: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nu = 0.3+ (((((0.62)*((Re)^(1/2))*((Pr)^(1/3))))/ ((1+((0.4/Pr)^(2/3)))^(1/4)))* ((1+((Re/282000)^(5/8)))^(4/5))) --> 0.3+ (((((0.62)*((5000)^(1/2))*((0.7)^(1/3))))/ ((1+((0.4/0.7)^(2/3)))^(1/4)))* ((1+((5000/282000)^(5/8)))^(4/5)))
Evaluating ... ...
Nu = 36.6278315494988
STEP 3: Convert Result to Output's Unit
36.6278315494988 --> No Conversion Required
FINAL ANSWER
36.6278315494988 <-- Nusselt Number
(Calculation completed in 00.000 seconds)

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Created by Prasana Kannan
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Nusselt number given dynamic viscosity
Nusselt Number = (0.4*(Reynolds Number^0.5)+0.06*(Reynolds Number^0.67))*(Prandtl Number^0.4)*(Dynamic Viscosity at Free Stream Temperature/Dynamic Viscosity at Wall Temperature)^0.25 Go
Nusselt number for liquid metals and silicones
Nusselt Number = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number/282000)^0.625)^0.8 Go
Nusselt number for liquid metals and silicones with higher Reynolds number value
Nusselt Number = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number/282000)^0.5) Go
Nusselt number when property variation is larger due to temperature variation
Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25 Go
Nusselt Number based on Diameter
Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33 Go
Nusselt number for liquids and gases
Nusselt Number = (0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38 Go
Nusselt number for liquid metals only given Peclet number
Nusselt Number = (0.8237-ln(Peclet Number^0.5))^-1 Go
Nusselt number for liquids with higher Peclet number
Nusselt Number = 1.25*(Peclet Number^0.413) Go
Nusselt number for liquid metals with constant heat flux
Nusselt Number = 1.145*Peclet Number^0.5 Go
Nusselt number for liquid metals with constant wall temperature
Nusselt Number = 1.05*Peclet Number^0.5 Go

Nusselt Number in Forced Convection for Cross Flow Formula

Nusselt Number = 0.3+ (((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/ ((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))* ((1+((Reynolds Number/282000)^(5/8)))^(4/5)))
Nu = 0.3+ (((((0.62)*((Re)^(1/2))*((Pr)^(1/3))))/ ((1+((0.4/Pr)^(2/3)))^(1/4)))* ((1+((Re/282000)^(5/8)))^(4/5)))

What is Forced Convection?

Forced convection is a mechanism, or type of transport, in which fluid motion is generated by an external source. Examples of forced convection would be a pump, fan, suction device, etc.

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 in Forced Convection for Cross Flow?

Nusselt Number in Forced Convection for Cross Flow calculator uses Nusselt Number = 0.3+ (((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/ ((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))* ((1+((Reynolds Number/282000)^(5/8)))^(4/5))) to calculate the Nusselt Number, The Nusselt Number in Forced Convection for Cross Flow formula is defined for all Reynolds numbers and Prandtl numbers greater or equal to 0.2 for crossflow over a circular cylinder. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt Number in Forced Convection for Cross Flow using this online calculator? To use this online calculator for Nusselt Number in Forced Convection for Cross Flow, enter Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt Number in Forced Convection for Cross Flow calculation can be explained with given input values -> 36.62783 = 0.3+ (((((0.62)*((5000)^(1/2))*((0.7)^(1/3))))/ ((1+((0.4/0.7)^(2/3)))^(1/4)))* ((1+((5000/282000)^(5/8)))^(4/5))) .

FAQ

What is Nusselt Number in Forced Convection for Cross Flow?
The Nusselt Number in Forced Convection for Cross Flow formula is defined for all Reynolds numbers and Prandtl numbers greater or equal to 0.2 for crossflow over a circular cylinder and is represented as Nu = 0.3+ (((((0.62)*((Re)^(1/2))*((Pr)^(1/3))))/ ((1+((0.4/Pr)^(2/3)))^(1/4)))* ((1+((Re/282000)^(5/8)))^(4/5))) or Nusselt Number = 0.3+ (((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/ ((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))* ((1+((Reynolds Number/282000)^(5/8)))^(4/5))) . 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 in Forced Convection for Cross Flow?
The Nusselt Number in Forced Convection for Cross Flow formula is defined for all Reynolds numbers and Prandtl numbers greater or equal to 0.2 for crossflow over a circular cylinder is calculated using Nusselt Number = 0.3+ (((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/ ((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))* ((1+((Reynolds Number/282000)^(5/8)))^(4/5))) . To calculate Nusselt Number in Forced Convection for Cross Flow, you need Reynolds Number (Re) & Prandtl Number (Pr). With our tool, you need to enter the respective value for 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 Reynolds Number & Prandtl Number. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33
  • Nusselt Number = (0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38
  • Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25
  • Nusselt Number = (0.4*(Reynolds Number^0.5)+0.06*(Reynolds Number^0.67))*(Prandtl Number^0.4)*(Dynamic Viscosity at Free Stream Temperature/Dynamic Viscosity at Wall Temperature)^0.25
  • Nusselt Number = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number/282000)^0.625)^0.8
  • Nusselt Number = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number/282000)^0.5)
  • Nusselt Number = (0.8237-ln(Peclet Number^0.5))^-1
  • Nusselt Number = 1.25*(Peclet Number^0.413)
  • Nusselt Number = 1.05*Peclet Number^0.5
  • Nusselt Number = 1.145*Peclet Number^0.5
  • Nusselt Number = (0.35+((0.56)*(Reynolds Number)^(0.52)))* ((Prandtl Number)^(0.333))
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