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Nusselt number for liquid metals and silicones with higher Reynolds number value Formula

GoNusselt Number based on Diameter Formula

GoNusselt number for liquids and gases Formula

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The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion. Check FAQs

Nu = 0.3 + (\frac{0.62 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333})}{{(1 + ({(\frac{0.4}{Pr})}^{0.67}))}^{0.25}}) \cdot (1 + {(\frac{Re D}{282000})}^{0.5})

Nu - Nusselt Number?Re - Reynolds Number?Pr - Prandtl Number?Re_D - Reynolds Number Dia?

Nusselt number for liquid metals and silicones with higher Reynolds number value Example

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Here is how the Nusselt number for liquid metals and silicones with higher Reynolds number value equation looks like with Values.

Here is how the Nusselt number for liquid metals and silicones with higher Reynolds number value equation looks like with Units.

Here is how the Nusselt number for liquid metals and silicones with higher Reynolds number value equation looks like.

1.3849 = 0.3 + (\frac{0.62 \cdot (5^{0.5}) \cdot ({0.7}^{0.333})}{{(1 + ({(\frac{0.4}{0.7})}^{0.67}))}^{0.25}}) \cdot (1 + {(\frac{5.5}{282000})}^{0.5})

1.3849 = 0.3 + (\frac{0.62 \cdot (5^{0.5}) \cdot ({0.7}^{0.333})}{{(1 + ({(\frac{0.4}{0.7})}^{0.67}))}^{0.25}}) \cdot (1 + {(\frac{5.5}{282000})}^{0.5})

1.3849 = 0.3 + (\frac{0.62 \cdot (5^{0.5}) \cdot ({0.7}^{0.333})}{{(1 + ({(\frac{0.4}{0.7})}^{0.67}))}^{0.25}}) \cdot (1 + {(\frac{5.5}{282000})}^{0.5})

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Nusselt number for liquid metals and silicones with higher Reynolds number value Solution

Follow our step by step solution on how to calculate Nusselt number for liquid metals and silicones with higher Reynolds number value?

FIRST Step Consider the formula

Nu = 0.3 + (\frac{0.62 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333})}{{(1 + ({(\frac{0.4}{Pr})}^{0.67}))}^{0.25}}) \cdot (1 + {(\frac{Re D}{282000})}^{0.5})

Next Step Substitute values of Variables

∴

Nu = 0.3 + (\frac{0.62 \cdot (5^{0.5}) \cdot ({0.7}^{0.333})}{{(1 + ({(\frac{0.4}{0.7})}^{0.67}))}^{0.25}}) \cdot (1 + {(\frac{5.5}{282000})}^{0.5})

Next Step Prepare to Evaluate

∴

Nu = 0.3 + (\frac{0.62 \cdot (5^{0.5}) \cdot ({0.7}^{0.333})}{{(1 + ({(\frac{0.4}{0.7})}^{0.67}))}^{0.25}}) \cdot (1 + {(\frac{5.5}{282000})}^{0.5})

Next Step Evaluate

∴

Nu = 1.38494608455103

LAST Step Rounding Answer

∴

Nu = 1.3849

Nusselt number for liquid metals and silicones with higher Reynolds number value Formula Elements

Variables

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.

Symbol: Nu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nusselt Number

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.

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number

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.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Reynolds Number Dia

Reynolds Number Dia is the ratio of inertial forces to viscous forces.

Symbol: Re_D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number Dia

Other Formulas to find Nusselt Number

Go Nusselt Number based on Diameter

Nu = (0.35 + 0.56 \cdot ({Re}^{0.52})) \cdot {Pr}^{0.33}

Go Nusselt number for liquids and gases

Nu = (0.43 + 0.50 \cdot ({Re}^{0.5})) \cdot {Pr}^{0.38}

Go Nusselt number when property variation is larger due to temperature variation

Nu = 0.25 \cdot ({Re}^{0.6}) \cdot ({Pr}^{0.38}) \cdot {(\frac{P f}{Pr w})}^{0.25}

Go Nusselt number given dynamic viscosity

Nu = (0.4 \cdot ({Re}^{0.5}) + 0.06 \cdot ({Re}^{0.67})) \cdot ({Pr}^{0.4}) \cdot {(\frac{μ ∞}{μ w})}^{0.25}

How to Evaluate Nusselt number for liquid metals and silicones with higher Reynolds number value?

Nusselt number for liquid metals and silicones with higher Reynolds number value evaluator uses 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 Dia/282000)^0.5) to evaluate the Nusselt Number, Nusselt number for liquid metals and silicones with higher Reynolds number value formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, particularly in flow over cylinders, where the Reynolds number is high. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt number for liquid metals and silicones with higher Reynolds number value using this online evaluator? To use this online evaluator for Nusselt number for liquid metals and silicones with higher Reynolds number value, enter Reynolds Number (Re), Prandtl Number (Pr) & Reynolds Number Dia (Re_D) and hit the calculate button.

FAQs on Nusselt number for liquid metals and silicones with higher Reynolds number value

What is the formula to find Nusselt number for liquid metals and silicones with higher Reynolds number value?

The formula of Nusselt number for liquid metals and silicones with higher Reynolds number value is expressed as 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 Dia/282000)^0.5). Here is an example- 1.384946 = 0.3+((0.62*(5^0.5)*(0.7^0.333))/(1+((0.4/0.7)^0.67))^0.25)*(1+(5.5/282000)^0.5).

How to calculate Nusselt number for liquid metals and silicones with higher Reynolds number value?

With Reynolds Number (Re), Prandtl Number (Pr) & Reynolds Number Dia (Re_D) we can find Nusselt number for liquid metals and silicones with higher Reynolds number value using the formula - 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 Dia/282000)^0.5).

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

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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Nusselt number for liquid metals and silicones with higher Reynolds number value Formula

​GoNusselt Number based on Diameter Formula

​GoNusselt number for liquids and gases Formula

Nusselt number for liquid metals and silicones with higher Reynolds number value Example

Nusselt number for liquid metals and silicones with higher Reynolds number value Solution

Nusselt number for liquid metals and silicones with higher Reynolds number value Formula Elements

Other Formulas to find Nusselt Number

How to Evaluate Nusselt number for liquid metals and silicones with higher Reynolds number value?

FAQs on Nusselt number for liquid metals and silicones with higher Reynolds number value

Variable Name

GoNusselt Number based on Diameter Formula

GoNusselt number for liquids and gases Formula