Nusselt Number in Forced Convection for Cross Flow Calculator

✖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.ⓘ Reynolds Number [Re]			+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%

✖The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.ⓘ Nusselt Number in Forced Convection for Cross Flow [Nu]

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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.
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: 5 --> 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)*((5)^(1/2))*((0.7)^(1/3))))/((1+((0.4/0.7)^(2/3)))^(1/4)))*((1+((5/282000)^(5/8)))^(4/5)))

Evaluating ... ...

Nu = 1.3807685614648

STEP 3: Convert Result to Output's Unit

1.3807685614648 --> No Conversion Required

FINAL ANSWER

1.3807685614648 ≈ 1.380769 <-- Nusselt Number

(Calculation completed in 00.006 seconds)

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< Flow over Cylinders Calculators

Nusselt number given dynamic viscosity

LaTeX Go 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 when property variation is larger due to temperature variation

LaTeX Go 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 based on Diameter

LaTeX Go Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33

Nusselt number for liquids and gases

LaTeX Go Nusselt Number = (0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38

Nusselt Number in Forced Convection for Cross Flow Formula

LaTeX Go

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, Nusselt Number in Forced Convection for Cross Flow formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, specifically for cross-flow over cylinders, providing a measure of the convective heat transfer coefficient. 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 -> 1.380769 = 0.3+(((((0.62)*((5)^(1/2))*((0.7)^(1/3))))/((1+((0.4/0.7)^(2/3)))^(1/4)))*((1+((5/282000)^(5/8)))^(4/5))).

FAQ

What is Nusselt Number in Forced Convection for Cross Flow?

Nusselt Number in Forced Convection for Cross Flow formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, specifically for cross-flow over cylinders, providing a measure of the convective heat transfer coefficient 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 & 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?

Nusselt Number in Forced Convection for Cross Flow formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, specifically for cross-flow over cylinders, providing a measure of the convective heat transfer coefficient 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 3 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

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