Nusselt number for oils and water 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%
✖Dynamic Viscosity at Wall Temperature is the external force offered by the fluid to the wall of the object at the temperature of its surface.ⓘ Dynamic Viscosity at Wall Temperature [μ_w]			+10% -10%
✖Dynamic Viscosity at Free Stream Temperature is the resisting force offered by the adjacent layers of the fluid flowing with freestream velocity.ⓘ Dynamic Viscosity at Free Stream Temperature [μ_∞]			+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 for oils and water [Nu]

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Nusselt number for oils and water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = (1.2+0.53*(Reynolds Number^0.54))/((Prandtl Number^-0.3)*(Dynamic Viscosity at Wall Temperature/Dynamic Viscosity at Free Stream Temperature)^0.25)
Nu = (1.2+0.53*(Re^0.54))/((Pr^-0.3)*(μ_w/μ_∞)^0.25)
This formula uses 5 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.
Dynamic Viscosity at Wall Temperature - Dynamic Viscosity at Wall Temperature is the external force offered by the fluid to the wall of the object at the temperature of its surface.
Dynamic Viscosity at Free Stream Temperature - Dynamic Viscosity at Free Stream Temperature is the resisting force offered by the adjacent layers of the fluid flowing with freestream velocity.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 50000 --> No Conversion Required
Prandtl Number: 19 --> No Conversion Required
Dynamic Viscosity at Wall Temperature: 0.0018 --> No Conversion Required
Dynamic Viscosity at Free Stream Temperature: 0.0015 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = (1.2+0.53*(Re^0.54))/((Pr^-0.3)*(μ_w/μ_∞)^0.25) --> (1.2+0.53*(50000^0.54))/((19^-0.3)*(0.0018/0.0015)^0.25)

Evaluating ... ...

Nu = 425.004712684767

STEP 3: Convert Result to Output's Unit

425.004712684767 --> No Conversion Required

FINAL ANSWER

425.004712684767 ≈ 425.0047 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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< Flow over Sphere Calculators

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LaTeX Go Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3))

Nusselt number for gases

LaTeX Go Nusselt Number = 2+(0.25*Reynolds Number+(3*10^-4)*(Reynolds Number^1.6))^0.5

Nusselt number for liquids for external flow

LaTeX Go Nusselt Number = (0.97+0.68*(Reynolds Number^0.5))/(Prandtl Number^-0.3)

Nusselt number

LaTeX Go Nusselt Number = 0.37*Reynolds Number^0.6

Nusselt number for oils and water Formula

LaTeX Go

What is external flow?

In fluid mechanics, external flow is such a flow that boundary layers develop freely, without constraints imposed by adjacent surfaces. Accordingly, there will always exist a region of the flow outside the boundary layer in which velocity, temperature, and/or concentration gradients are negligible. It can be defined as the flow of a fluid around a body that is completely submerged in it.

An example includes fluid motion over a flat plate (inclined or parallel to the free stream velocity) and flow over curved surfaces such as a sphere, cylinder, airfoil, or turbine blade, air flowing around an airplane and water flowing around the submarines.

How to Calculate Nusselt number for oils and water?

Nusselt number for oils and water calculator uses Nusselt Number = (1.2+0.53*(Reynolds Number^0.54))/((Prandtl Number^-0.3)*(Dynamic Viscosity at Wall Temperature/Dynamic Viscosity at Free Stream Temperature)^0.25) to calculate the Nusselt Number, Nusselt number for oils and water formula is defined as a dimensionless value that characterizes convective heat transfer between a sphere and a fluid, such as oil or water, in a flow over sphere context, providing a crucial parameter in understanding heat transfer mechanisms in various engineering applications. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number for oils and water using this online calculator? To use this online calculator for Nusselt number for oils and water, enter Reynolds Number (Re), Prandtl Number (Pr), Dynamic Viscosity at Wall Temperature (μ_w) & Dynamic Viscosity at Free Stream Temperature (μ_∞) and hit the calculate button. Here is how the Nusselt number for oils and water calculation can be explained with given input values -> 425.0047 = (1.2+0.53*(50000^0.54))/((19^-0.3)*(0.0018/0.0015)^0.25).

FAQ

What is Nusselt number for oils and water?

Nusselt number for oils and water formula is defined as a dimensionless value that characterizes convective heat transfer between a sphere and a fluid, such as oil or water, in a flow over sphere context, providing a crucial parameter in understanding heat transfer mechanisms in various engineering applications and is represented as Nu = (1.2+0.53*(Re^0.54))/((Pr^-0.3)*(μ_w/μ_∞)^0.25) or Nusselt Number = (1.2+0.53*(Reynolds Number^0.54))/((Prandtl Number^-0.3)*(Dynamic Viscosity at Wall Temperature/Dynamic Viscosity at Free Stream Temperature)^0.25). 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, Dynamic Viscosity at Wall Temperature is the external force offered by the fluid to the wall of the object at the temperature of its surface & Dynamic Viscosity at Free Stream Temperature is the resisting force offered by the adjacent layers of the fluid flowing with freestream velocity.

How to calculate Nusselt number for oils and water?

Nusselt number for oils and water formula is defined as a dimensionless value that characterizes convective heat transfer between a sphere and a fluid, such as oil or water, in a flow over sphere context, providing a crucial parameter in understanding heat transfer mechanisms in various engineering applications is calculated using Nusselt Number = (1.2+0.53*(Reynolds Number^0.54))/((Prandtl Number^-0.3)*(Dynamic Viscosity at Wall Temperature/Dynamic Viscosity at Free Stream Temperature)^0.25). To calculate Nusselt number for oils and water, you need Reynolds Number (Re), Prandtl Number (Pr), Dynamic Viscosity at Wall Temperature (μ_w) & Dynamic Viscosity at Free Stream Temperature (μ_∞). With our tool, you need to enter the respective value for Reynolds Number, Prandtl Number, Dynamic Viscosity at Wall Temperature & Dynamic Viscosity at Free Stream Temperature 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, Dynamic Viscosity at Wall Temperature & Dynamic Viscosity at Free Stream Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = 0.37*Reynolds Number^0.6
Nusselt Number = 2+(0.25*Reynolds Number+(3*10^-4)*(Reynolds Number^1.6))^0.5
Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3))

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