Heat Transfer through Plane Wall or Surface Calculator

✖Thermal Conductivity of Heat is the amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity of Heat [k₁]			+10% -10%
✖Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area [A_c]			+10% -10%
✖Outside Temperature is the temperature of air present outside.ⓘ Outside Temperature [t_o]			+10% -10%
✖Inside Temperature is the temperature of air present inside.ⓘ Inside Temperature [t_i]			+10% -10%
✖Width of Plane Surface is the measurement or extent of plane surface from side to side.ⓘ Width of Plane Surface [w]			+10% -10%

✖Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.ⓘ Heat Transfer through Plane Wall or Surface [q]

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Heat Transfer through Plane Wall or Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Flow Rate = -Thermal Conductivity of Heat*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface
q = -k₁*A_c*(t_o-t_i)/w
This formula uses 6 Variables

Variables Used

Heat Flow Rate - (Measured in Watt) - Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.
Thermal Conductivity of Heat - (Measured in Watt per Meter per K) - Thermal Conductivity of Heat is the amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
Cross Sectional Area - (Measured in Square Meter) - Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Outside Temperature - (Measured in Kelvin) - Outside Temperature is the temperature of air present outside.
Inside Temperature - (Measured in Kelvin) - Inside Temperature is the temperature of air present inside.
Width of Plane Surface - (Measured in Meter) - Width of Plane Surface is the measurement or extent of plane surface from side to side.

STEP 1: Convert Input(s) to Base Unit

Thermal Conductivity of Heat: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Cross Sectional Area: 11 Square Meter --> 11 Square Meter No Conversion Required
Outside Temperature: 321 Kelvin --> 321 Kelvin No Conversion Required
Inside Temperature: 371 Kelvin --> 371 Kelvin No Conversion Required
Width of Plane Surface: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = -k₁*A_c*(t_o-t_i)/w --> -10.18*11*(321-371)/7

Evaluating ... ...

q = 799.857142857143

STEP 3: Convert Result to Output's Unit

799.857142857143 Watt --> No Conversion Required

FINAL ANSWER

799.857142857143 ≈ 799.8571 Watt <-- Heat Flow Rate

(Calculation completed in 00.004 seconds)

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Credits

Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

Ishan Gupta has created this Calculator and 50+ more calculators!

Verified by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

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< Basics of Modes of Heat Transfer Calculators

Radial Heat Flowing through Cylinder

LaTeX Go Heat = Thermal Conductivity of Heat*2*pi*Temperature Difference*Length of Cylinder/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))

Heat Transfer through Plane Wall or Surface

LaTeX Go Heat Flow Rate = -Thermal Conductivity of Heat*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface

Radiative Heat Transfer

LaTeX Go Heat = [Stefan-BoltZ]*Body Surface Area*Geometric View Factor*(Temperature of Surface 1^4-Temperature of Surface 2^4)

Total Emissive Power of Radiating Body

LaTeX Go Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]

Heat Transfer through Plane Wall or Surface Formula

LaTeX Go

Heat Flow Rate = -Thermal Conductivity of Heat*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface
q = -k₁*A_c*(t_o-t_i)/w

Heat Transfer Through Plane Wall or Surface

Heat Transfer Through Plane Wall or Surface gives the rate at which heat flows through the wall or surface for given temperature and material conditions.

How to Calculate Heat Transfer through Plane Wall or Surface?

Heat Transfer through Plane Wall or Surface calculator uses Heat Flow Rate = -Thermal Conductivity of Heat*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface to calculate the Heat Flow Rate, Heat Transfer through Plane Wall or Surface gives the rate at which heat flows through the wall or surface for given temperature and material conditions. Heat Flow Rate is denoted by q symbol.

How to calculate Heat Transfer through Plane Wall or Surface using this online calculator? To use this online calculator for Heat Transfer through Plane Wall or Surface, enter Thermal Conductivity of Heat (k₁), Cross Sectional Area (A_c), Outside Temperature (t_o), Inside Temperature (t_i) & Width of Plane Surface (w) and hit the calculate button. Here is how the Heat Transfer through Plane Wall or Surface calculation can be explained with given input values -> 799.8571 = -10.18*11*(321-371)/7.

FAQ

What is Heat Transfer through Plane Wall or Surface?

Heat Transfer through Plane Wall or Surface gives the rate at which heat flows through the wall or surface for given temperature and material conditions and is represented as q = -k₁*A_c*(t_o-t_i)/w or Heat Flow Rate = -Thermal Conductivity of Heat*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface. Thermal Conductivity of Heat is the amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance, Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point, Outside Temperature is the temperature of air present outside, Inside Temperature is the temperature of air present inside & Width of Plane Surface is the measurement or extent of plane surface from side to side.

How to calculate Heat Transfer through Plane Wall or Surface?

Heat Transfer through Plane Wall or Surface gives the rate at which heat flows through the wall or surface for given temperature and material conditions is calculated using Heat Flow Rate = -Thermal Conductivity of Heat*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface. To calculate Heat Transfer through Plane Wall or Surface, you need Thermal Conductivity of Heat (k₁), Cross Sectional Area (A_c), Outside Temperature (t_o), Inside Temperature (t_i) & Width of Plane Surface (w). With our tool, you need to enter the respective value for Thermal Conductivity of Heat, Cross Sectional Area, Outside Temperature, Inside Temperature & Width of Plane Surface 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 Heat Flow Rate?

In this formula, Heat Flow Rate uses Thermal Conductivity of Heat, Cross Sectional Area, Outside Temperature, Inside Temperature & Width of Plane Surface. We can use 1 other way(s) to calculate the same, which is/are as follows -

Heat Flow Rate = Heat Transfer Coefficient*Exposed Surface Conv Area*(Surface Temperature-Ambient Air Temperature)

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