Thermal Conductivity using Prandtl Number Calculator

✖The Dynamic Viscosity is a measure of a fluid's resistance to flow and deformation, crucial for understanding fluid behavior in various mechanical and thermal applications.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖The Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of a unit mass of a substance at constant pressure.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%
✖The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, influencing heat transfer characteristics.ⓘ Prandtl Number [Pr]			+10% -10%

✖The Thermal Conductivity is a measure of a material's ability to conduct heat, influencing heat transfer in various applications, particularly in fluid mechanics and thermal management.ⓘ Thermal Conductivity using Prandtl Number [k]

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Thermal Conductivity using Prandtl Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Conductivity = (Dynamic Viscosity*Specific Heat Capacity at Constant Pressure)/Prandtl Number
k = (μ_viscosity*C_p)/Pr
This formula uses 4 Variables

Variables Used

Thermal Conductivity - (Measured in Watt per Meter per K) - The Thermal Conductivity is a measure of a material's ability to conduct heat, influencing heat transfer in various applications, particularly in fluid mechanics and thermal management.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity is a measure of a fluid's resistance to flow and deformation, crucial for understanding fluid behavior in various mechanical and thermal applications.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - The Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of a unit mass of a substance at constant pressure.
Prandtl Number - The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, influencing heat transfer characteristics.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Specific Heat Capacity at Constant Pressure: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion here)
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (μ_viscosity*C_p)/Pr --> (1.02*4184)/0.7

Evaluating ... ...

k = 6096.68571428572

STEP 3: Convert Result to Output's Unit

6096.68571428572 Watt per Meter per K --> No Conversion Required

FINAL ANSWER

6096.68571428572 ≈ 6096.686 Watt per Meter per K <-- Thermal Conductivity

(Calculation completed in 00.020 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Thermal Conductivity using Prandtl Number Formula

LaTeX Go

Thermal Conductivity = (Dynamic Viscosity*Specific Heat Capacity at Constant Pressure)/Prandtl Number
k = (μ_viscosity*C_p)/Pr

What is Prandtl number?

The Prandtl number is a dimensionless quantity that puts the viscosity of a fluid in correlation with the thermal conductivity. It therefore, assesses the relation between momentum transport and thermal transport capacity of the fluid.

How to Calculate Thermal Conductivity using Prandtl Number?

Thermal Conductivity using Prandtl Number calculator uses Thermal Conductivity = (Dynamic Viscosity*Specific Heat Capacity at Constant Pressure)/Prandtl Number to calculate the Thermal Conductivity, Thermal Conductivity using Prandtl Number formula is defined as a measure of the ability of a fluid to conduct heat, which is a critical parameter in understanding heat transfer mechanisms in various engineering applications, particularly in viscous flow systems. Thermal Conductivity is denoted by k symbol.

How to calculate Thermal Conductivity using Prandtl Number using this online calculator? To use this online calculator for Thermal Conductivity using Prandtl Number, enter Dynamic Viscosity (μ_viscosity), Specific Heat Capacity at Constant Pressure (C_p) & Prandtl Number (Pr) and hit the calculate button. Here is how the Thermal Conductivity using Prandtl Number calculation can be explained with given input values -> 6096.686 = (1.02*4184)/0.7.

FAQ

What is Thermal Conductivity using Prandtl Number?

Thermal Conductivity using Prandtl Number formula is defined as a measure of the ability of a fluid to conduct heat, which is a critical parameter in understanding heat transfer mechanisms in various engineering applications, particularly in viscous flow systems and is represented as k = (μ_viscosity*C_p)/Pr or Thermal Conductivity = (Dynamic Viscosity*Specific Heat Capacity at Constant Pressure)/Prandtl Number. The Dynamic Viscosity is a measure of a fluid's resistance to flow and deformation, crucial for understanding fluid behavior in various mechanical and thermal applications, The Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of a unit mass of a substance at constant pressure & The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, influencing heat transfer characteristics.

How to calculate Thermal Conductivity using Prandtl Number?

Thermal Conductivity using Prandtl Number formula is defined as a measure of the ability of a fluid to conduct heat, which is a critical parameter in understanding heat transfer mechanisms in various engineering applications, particularly in viscous flow systems is calculated using Thermal Conductivity = (Dynamic Viscosity*Specific Heat Capacity at Constant Pressure)/Prandtl Number. To calculate Thermal Conductivity using Prandtl Number, you need Dynamic Viscosity (μ_viscosity), Specific Heat Capacity at Constant Pressure (C_p) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Dynamic Viscosity, Specific Heat Capacity at Constant Pressure & Prandtl Number 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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