Thermal conductivity of fluid Calculator

✖Thermal Conductivity is defined as the transport of energy due to random molecular motion across a temperature gradient.ⓘ Thermal Conductivity [k_Eff]			+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%
✖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.ⓘ Rayleigh Number(t) [RaC]			+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]

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Formula

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Thermal conductivity of fluid

Formula

`"k" = "k"_{"Eff"}/(0.386*((("Pr")/(0.861+"Pr"))^0.25)*("RaC")^0.25)`

Example

`"37.64839W/(m*K)"="10W/(m*K)"/(0.386*((("0.7")/(0.861+"0.7"))^0.25)*("0.5")^0.25)`

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Thermal conductivity of fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Conductivity = Thermal Conductivity/(0.386*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number(t))^0.25)
k = k_Eff/(0.386*(((Pr)/(0.861+Pr))^0.25)*(RaC)^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.
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is defined as the transport of energy due to random molecular motion across a temperature gradient.
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.
Rayleigh Number(t) - 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

Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Rayleigh Number(t): 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = k_Eff/(0.386*(((Pr)/(0.861+Pr))^0.25)*(RaC)^0.25) --> 10/(0.386*(((0.7)/(0.861+0.7))^0.25)*(0.5)^0.25)

Evaluating ... ...

k = 37.6483901118899

STEP 3: Convert Result to Output's Unit

37.6483901118899 Watt per Meter per K --> No Conversion Required

FINAL ANSWER

37.6483901118899 ≈ 37.64839 Watt per Meter per K <-- Thermal Conductivity

(Calculation completed in 00.006 seconds)

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Created by Nishan Poojary

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

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< 23 Free convection Calculators

Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder

Go Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient Of Volumetric Expansion*Change in Temperature)))^(0.5)

Outside surface temperature for annular space between concentric cylinders

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

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

Outside diameter of concentric sphere

Go Outside Diameter = Heat transfer/((Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Inside Diameter)/Length))

Inside diameter of concentric sphere

Go Inside Diameter = Heat transfer/((Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter)/Length))

Length of space between two concentric sphere

Go Length = (Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Heat transfer)

Inside temperature of concentric sphere

Go Inside Temperature = (Heat transfer/((Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length)))+Outside Temperature

Length of annular space between two concentric cylinders

Go Length = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh number))/(((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))^-3

Boundary layer thickness on vertical surfaces

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

Thermal conductivity of fluid

Go Thermal Conductivity = Thermal Conductivity/(0.386*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number(t))^0.25)

Diameter of rotating cylinder in fluid given Reynolds number

Go Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational speed))^(1/2)

Rotational speed given Reynolds number

Go Rotational speed = (Reynolds Number(w)*Kinematic Viscosity)/(pi*Diameter^2)

Kinematic viscosity given Reynolds number based on rotational speed

Go Kinematic Viscosity = Rotational speed*pi*(Diameter^2)/Reynolds Number(w)

Prandtl number given Graetz numbber

Go Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter)

Diameter given Graetz number

Go Diameter = Graetz Number*Length/(Reynolds Number*Prandtl Number)

Length given Graetz number

Go Length = Reynolds Number*Prandtl Number*(Diameter/Graetz Number)

Convective mass transfer coefficient at distance X from leading edge

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

Diameter at which turbulence starts

Go Diameter = (((5*10^5)*Kinematic Viscosity)/(Rotational speed))^1/2

Kinematic viscosity of fluid

Go Kinematic Viscosity = (Rotational speed*Diameter^2)/(5*10^5)

Rotational speed of disc

Go Rotational speed = (5*10^5)*Kinematic Viscosity/(Diameter^2)

Outside radius from gap length

Go Outer Radius = Gap length+Inside Radius

Inside radius from gap length

Go Inside Radius = Outer Radius-Gap length

Gap length

Go Gap length = Outer Radius-Inside Radius

Thermal conductivity of fluid Formula

Thermal Conductivity = Thermal Conductivity/(0.386*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number(t))^0.25)
k = k_Eff/(0.386*(((Pr)/(0.861+Pr))^0.25)*(RaC)^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 = Thermal Conductivity/(0.386*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(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 symbol.

How to calculate Thermal conductivity of fluid using this online calculator? To use this online calculator for Thermal conductivity of fluid, enter Thermal Conductivity (k_Eff), Prandtl Number (Pr) & Rayleigh Number(t) (RaC) and hit the calculate button. Here is how the Thermal conductivity of fluid calculation can be explained with given input values -> 37.64839 = 10/(0.386*(((0.7)/(0.861+0.7))^0.25)*(0.5)^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 = k_Eff/(0.386*(((Pr)/(0.861+Pr))^0.25)*(RaC)^0.25) or Thermal Conductivity = Thermal Conductivity/(0.386*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number(t))^0.25). Thermal Conductivity is defined as the transport of energy due to random molecular motion across a temperature gradient, 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 & 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 = Thermal Conductivity/(0.386*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number(t))^0.25). To calculate Thermal conductivity of fluid, you need Thermal Conductivity (k_Eff), Prandtl Number (Pr) & Rayleigh Number(t) (RaC). With our tool, you need to enter the respective value for Thermal Conductivity, Prandtl Number & 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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