Heat Transfer through Plane Wall or Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Heat Flow Rate = -Thermal Conductivity*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface
q = -k*Ac*(to-ti)/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 - (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.
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: 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 = -k*Ac*(to-ti)/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 00.020 seconds)

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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13 Basics of Modes of Heat Transfer Calculators

Thermal Resistance of Spherical Wall
Go Thermal Resistance of Sphere Without Convection = (Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)
Radiation Thermal Resistance
Go Thermal Resistance = 1/(Emissivity*[Stefan-BoltZ]*Base Area*(Temperature of Surface 1+Temperature of Surface 2)*(((Temperature of Surface 1)^2)+((Temperature of Surface 2)^2)))
Radial Heat Flowing through Cylinder
Go Heat = Thermal Conductivity*2*pi*Temperature Difference*Length of Cylinder/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))
Heat Transfer through Plane Wall or Surface
Go Heat Flow Rate = -Thermal Conductivity*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface
Radiative Heat Transfer
Go Heat = [Stefan-BoltZ]*Body Surface Area*Geometric View Factor*(Temperature of Surface 1^4-Temperature of Surface 2^4)
Rate of Convective Heat Transfer
Go Heat Flow Rate = Heat Transfer Coefficient*Exposed Surface Area*(Surface Temperature-Ambient Air Temperature)
Total Emissive Power of Radiating Body
Go Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]
Thermal Diffusivity
Go Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity)
Radiosity
Go Radiosity = Energy Leaving Surface/(Body Surface Area*Time in seconds)
Thermal Resistance in Convection Heat Transfer
Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)
Overall Heat Transfer based on Thermal Resistance
Go Overall Heat Transfer = Overall Temperature Difference/Total Thermal Resistance
Temperature Difference using Thermal Analogy to Ohm's Law
Go Temperature Difference = Heat Flow Rate*Thermal Resistance
Ohm's Law
Go Voltage = Electric Current*Resistance

Heat Transfer through Plane Wall or Surface Formula

Heat Flow Rate = -Thermal Conductivity*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface
q = -k*Ac*(to-ti)/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*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 (k), Cross Sectional Area (Ac), Outside Temperature (to), Inside Temperature (ti) & 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 = -k*Ac*(to-ti)/w or Heat Flow Rate = -Thermal Conductivity*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface. 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, 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*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface. To calculate Heat Transfer through Plane Wall or Surface, you need Thermal Conductivity (k), Cross Sectional Area (Ac), Outside Temperature (to), Inside Temperature (ti) & Width of Plane Surface (w). With our tool, you need to enter the respective value for Thermal Conductivity, 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, 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 Area*(Surface Temperature-Ambient Air Temperature)
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