Heat Conduction Calculator

✖Thermal conductivity is defined as the ability of a given material to conduct/transfer heat.ⓘ Thermal Conductivity [k]			+10% -10%
✖Area of furnace is defined as the quantity that expresses the extent of a region on the plane or on a curved surface.ⓘ Area of Furnace [A_furnace]			+10% -10%
✖Total Time is defined as the time required to disintegrate the radioactive substance to a certain value.ⓘ Total Time [T_total]			+10% -10%
✖The Temperature of Wall 1 is the degree or intensity of heat present in Wall1.ⓘ Temperature of Wall 1 [T₁]			+10% -10%
✖The Temperature of Wall 2 is defined as the heat maintained by wall 2 in a system of 2 walls.ⓘ Temperature of Wall 2 [T₂]			+10% -10%
✖The Thickness of Wall refers to the distance between one surface of your model and its opposite sheer surface. Wall thickness is defined as the minimum thickness your model should have at any time.ⓘ Thickness of Wall [t_w]			+10% -10%

✖Heat Conduction is the transfer of internal thermal energy by the collisions of microscopic particles and movement of electrons within a body.ⓘ Heat Conduction [Q]

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Formula

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Heat Conduction

Formula

`"Q" = ("k"*"A"_{"furnace"}*"T"_{"total"}*("T"_{"1"}-"T"_{"2"}))/"t"_{"w"}`

Example

`"1.097528W"=("11.09W/(m*K)"*"20.5cm²"*"28s"*("300K"-"299K"))/"58cm"`

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Heat Conduction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Conduction = (Thermal Conductivity*Area of Furnace*Total Time*(Temperature of Wall 1-Temperature of Wall 2))/Thickness of Wall
Q = (k*A_furnace*T_total*(T₁-T₂))/t_w
This formula uses 7 Variables

Variables Used

Heat Conduction - (Measured in Watt) - Heat Conduction is the transfer of internal thermal energy by the collisions of microscopic particles and movement of electrons within a body.
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal conductivity is defined as the ability of a given material to conduct/transfer heat.
Area of Furnace - (Measured in Square Meter) - Area of furnace is defined as the quantity that expresses the extent of a region on the plane or on a curved surface.
Total Time - (Measured in Second) - Total Time is defined as the time required to disintegrate the radioactive substance to a certain value.
Temperature of Wall 1 - (Measured in Kelvin) - The Temperature of Wall 1 is the degree or intensity of heat present in Wall1.
Temperature of Wall 2 - (Measured in Kelvin) - The Temperature of Wall 2 is defined as the heat maintained by wall 2 in a system of 2 walls.
Thickness of Wall - (Measured in Meter) - The Thickness of Wall refers to the distance between one surface of your model and its opposite sheer surface. Wall thickness is defined as the minimum thickness your model should have at any time.

STEP 1: Convert Input(s) to Base Unit

Thermal Conductivity: 11.09 Watt per Meter per K --> 11.09 Watt per Meter per K No Conversion Required
Area of Furnace: 20.5 Square Centimeter --> 0.00205 Square Meter (Check conversion here)
Total Time: 28 Second --> 28 Second No Conversion Required
Temperature of Wall 1: 300 Kelvin --> 300 Kelvin No Conversion Required
Temperature of Wall 2: 299 Kelvin --> 299 Kelvin No Conversion Required
Thickness of Wall: 58 Centimeter --> 0.58 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (k*A_furnace*T_total*(T₁-T₂))/t_w --> (11.09*0.00205*28*(300-299))/0.58

Evaluating ... ...

Q = 1.0975275862069

STEP 3: Convert Result to Output's Unit

1.0975275862069 Watt --> No Conversion Required

FINAL ANSWER

1.0975275862069 ≈ 1.097528 Watt <-- Heat Conduction

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 8 Furnace Heating Calculators

Heat Conduction

Go Heat Conduction = (Thermal Conductivity*Area of Furnace*Total Time*(Temperature of Wall 1-Temperature of Wall 2))/Thickness of Wall

Energy Required by Furnace to Melt Steel

Go Energy = (Mass*Specific Heat*(Temperature of Wall 2-Temperature of Wall 1))+(Mass*Latent Heat)

Thickness of Cylinder

Go Thickness of Cylinder = 1/(2*pi)*sqrt((Specific Resistance*10^9)/(Relative Permeability*Frequency of Induction Furnace))

Equivalent Inductance of Furnace

Go Inductance = (pi*4*pi*10^-7*Number of Coil Turns^2*Diameter of Melt^2)/(4*Height of Melt)

Heat Radiation

Go Heat Radiation = 5.72*Emissivity*Radiating Efficiency*((Temperature of Wall 1/100)^4-(Temperature of Wall 2/100)^4)

Operating Frequency

Go Frequency of Induction Furnace = (Specific Resistance*10^9)/(4*pi^2*Thickness of Cylinder^2*Relative Permeability)

Specific Resistance using Operating Frequency

Go Specific Resistance = (Frequency of Induction Furnace*4*pi^2*Thickness of Cylinder^2*Relative Permeability)/10^9

Energy Efficiency

Go Energy Efficiency = Theoretical Energy/Actual Energy

Heat Conduction Formula

Heat Conduction = (Thermal Conductivity*Area of Furnace*Total Time*(Temperature of Wall 1-Temperature of Wall 2))/Thickness of Wall
Q = (k*A_furnace*T_total*(T₁-T₂))/t_w

What is heat transfer coefficient?

Heat transfer coefficient is a quantitative characteristic of convective heat transfer between a fluid medium (a fluid) and the surface (wall) flowed over by the fluid.

How to Calculate Heat Conduction?

Heat Conduction calculator uses Heat Conduction = (Thermal Conductivity*Area of Furnace*Total Time*(Temperature of Wall 1-Temperature of Wall 2))/Thickness of Wall to calculate the Heat Conduction, Heat conduction is the transfer of internal thermal energy by the collisions of microscopic particles and movement of electrons within a body. Heat Conduction is denoted by Q symbol.

How to calculate Heat Conduction using this online calculator? To use this online calculator for Heat Conduction, enter Thermal Conductivity (k), Area of Furnace (A_furnace), Total Time (T_total), Temperature of Wall 1 (T₁), Temperature of Wall 2 (T₂) & Thickness of Wall (t_w) and hit the calculate button. Here is how the Heat Conduction calculation can be explained with given input values -> 1.097528 = (11.09*0.00205*28*(300-299))/0.58.

FAQ

What is Heat Conduction?

Heat conduction is the transfer of internal thermal energy by the collisions of microscopic particles and movement of electrons within a body and is represented as Q = (k*A_furnace*T_total*(T₁-T₂))/t_w or Heat Conduction = (Thermal Conductivity*Area of Furnace*Total Time*(Temperature of Wall 1-Temperature of Wall 2))/Thickness of Wall. Thermal conductivity is defined as the ability of a given material to conduct/transfer heat, Area of furnace is defined as the quantity that expresses the extent of a region on the plane or on a curved surface, Total Time is defined as the time required to disintegrate the radioactive substance to a certain value, The Temperature of Wall 1 is the degree or intensity of heat present in Wall1, The Temperature of Wall 2 is defined as the heat maintained by wall 2 in a system of 2 walls & The Thickness of Wall refers to the distance between one surface of your model and its opposite sheer surface. Wall thickness is defined as the minimum thickness your model should have at any time.

How to calculate Heat Conduction?

Heat conduction is the transfer of internal thermal energy by the collisions of microscopic particles and movement of electrons within a body is calculated using Heat Conduction = (Thermal Conductivity*Area of Furnace*Total Time*(Temperature of Wall 1-Temperature of Wall 2))/Thickness of Wall. To calculate Heat Conduction, you need Thermal Conductivity (k), Area of Furnace (A_furnace), Total Time (T_total), Temperature of Wall 1 (T₁), Temperature of Wall 2 (T₂) & Thickness of Wall (t_w). With our tool, you need to enter the respective value for Thermal Conductivity, Area of Furnace, Total Time, Temperature of Wall 1, Temperature of Wall 2 & Thickness of Wall 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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