Thermal conductivity of fluid Calculator

✖Reference Thermal Conductivity is the reference thermal conductivity of the fluid you are working with.ⓘ Reference Thermal Conductivity [k₀]			+10% -10%
✖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%
✖Turbulence Rayleigh Number(t) is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom.ⓘ Turbulence Rayleigh Number(t) [R_a]			+10% -10%

✖Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.ⓘ Thermal conductivity of fluid [k_e]

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Thermal conductivity of fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Conductivity = (0.386*Reference Thermal Conductivity)/(((Prandtl Number)/(0.861+Prandtl Number)^0.25)*Turbulence Rayleigh Number(t)^0.25)
k_e = (0.386*k₀)/(((Pr)/(0.861+Pr)^0.25)*R_a^0.25)
This formula uses 4 Variables

Variables Used

Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
Reference Thermal Conductivity - Reference Thermal Conductivity is the reference thermal conductivity of the fluid you are working with.
Prandtl Number - 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.
Turbulence Rayleigh Number(t) - Turbulence Rayleigh Number(t) is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom.

STEP 1: Convert Input(s) to Base Unit

Reference Thermal Conductivity: 0.606 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Turbulence Rayleigh Number(t): 100.45 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_e = (0.386*k₀)/(((Pr)/(0.861+Pr)^0.25)*R_a^0.25) --> (0.386*0.606)/(((0.7)/(0.861+0.7)^0.25)*100.45^0.25)

Evaluating ... ...

k_e = 0.117984546975929

STEP 3: Convert Result to Output's Unit

0.117984546975929 Watt per Meter per K --> No Conversion Required

FINAL ANSWER

0.117984546975929 ≈ 0.117985 Watt per Meter per K <-- Thermal Conductivity

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Convective Flow Over Cylinder and Sphere Calculators

Outside surface temperature for annular space between concentric cylinders

LaTeX Go Outside Temperature = Inside Temperature-(Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))

Inside surface temperature for annular space between concentric cylinders

LaTeX Go Inside Temperature = (Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))+Outside Temperature

Boundary layer thickness on vertical surfaces

LaTeX Go Boundary Layer Thickness = 3.93*Distance From Point to YY Axis*Prandtl Number^(-0.5)*(0.952+Prandtl Number)^0.25*Local Grashof Number^(-0.25)

Convective mass transfer coefficient at distance X from leading edge

LaTeX Go Convective Mass Transfer Coefficient = (2*Thermal Conductivity)/Boundary Layer Thickness

Thermal conductivity of fluid Formula

LaTeX Go

Thermal Conductivity = (0.386*Reference Thermal Conductivity)/(((Prandtl Number)/(0.861+Prandtl Number)^0.25)*Turbulence Rayleigh Number(t)^0.25)
k_e = (0.386*k₀)/(((Pr)/(0.861+Pr)^0.25)*R_a^0.25)

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 Thermal conductivity of fluid?

Thermal conductivity of fluid calculator uses Thermal Conductivity = (0.386*Reference Thermal Conductivity)/(((Prandtl Number)/(0.861+Prandtl Number)^0.25)*Turbulence Rayleigh Number(t)^0.25) to calculate the Thermal Conductivity, The Thermal conductivity of fluid formula is defined as the transport of energy due to random molecular motion across a temperature gradient. Thermal Conductivity is denoted by k_e symbol.

How to calculate Thermal conductivity of fluid using this online calculator? To use this online calculator for Thermal conductivity of fluid, enter Reference Thermal Conductivity (k₀), Prandtl Number (Pr) & Turbulence Rayleigh Number(t) (R_a) and hit the calculate button. Here is how the Thermal conductivity of fluid calculation can be explained with given input values -> 0.117985 = (0.386*0.606)/(((0.7)/(0.861+0.7)^0.25)*100.45^0.25).

FAQ

What is Thermal conductivity of fluid?

The Thermal conductivity of fluid formula is defined as the transport of energy due to random molecular motion across a temperature gradient and is represented as k_e = (0.386*k₀)/(((Pr)/(0.861+Pr)^0.25)*R_a^0.25) or Thermal Conductivity = (0.386*Reference Thermal Conductivity)/(((Prandtl Number)/(0.861+Prandtl Number)^0.25)*Turbulence Rayleigh Number(t)^0.25). Reference Thermal Conductivity is the reference thermal conductivity of the fluid you are working with, 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 & Turbulence Rayleigh Number(t) is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom.

How to calculate Thermal conductivity of fluid?

The Thermal conductivity of fluid formula is defined as the transport of energy due to random molecular motion across a temperature gradient is calculated using Thermal Conductivity = (0.386*Reference Thermal Conductivity)/(((Prandtl Number)/(0.861+Prandtl Number)^0.25)*Turbulence Rayleigh Number(t)^0.25). To calculate Thermal conductivity of fluid, you need Reference Thermal Conductivity (k₀), Prandtl Number (Pr) & Turbulence Rayleigh Number(t) (R_a). With our tool, you need to enter the respective value for Reference Thermal Conductivity, Prandtl Number & Turbulence Rayleigh Number(t) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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