One Dimensional Heat Flux Solution

STEP 0: Pre-Calculation Summary
Formula Used
Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1)
q' = -ko/t*(Twall 2-Twall 1)
This formula uses 5 Variables
Variables Used
Heat Flux - (Measured in Watt per Square Meter) - Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q".
Thermal Conductivity of Fin - (Measured in Watt per Meter per K) - Thermal Conductivity of Fin is rate of heat passes through Fin, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
Wall Thickness - (Measured in Meter) - Wall Thickness is simply the width of the wall that we are taking under consideration.
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.
Temperature of Wall 1 - (Measured in Kelvin) - The Temperature of Wall 1 is the degree or intensity of heat present in Wall1.
STEP 1: Convert Input(s) to Base Unit
Thermal Conductivity of Fin: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Wall Thickness: 7.83 Meter --> 7.83 Meter No Conversion Required
Temperature of Wall 2: 299 Kelvin --> 299 Kelvin No Conversion Required
Temperature of Wall 1: 300 Kelvin --> 300 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
q' = -ko/t*(Twall 2-Twall 1) --> -10.18/7.83*(299-300)
Evaluating ... ...
q' = 1.30012771392082
STEP 3: Convert Result to Output's Unit
1.30012771392082 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
1.30012771392082 1.300128 Watt per Square Meter <-- Heat Flux
(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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13 Heat and Mass Transfer Calculators

Heat Transfer by Conduction at Base
Go Rate of Conductive Heat Transfer = (Thermal Conductivity*Cross Sectional Area of Fin*Perimeter of the Fin*Convective Heat Transfer Coefficient)^0.5*(Base Temperature-Ambient Temperature)
Heat Exchange by Radiation due to Geometric Arrangement
Go Heat Transfer = Emissivity*Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Black Bodies Heat Exchange by Radiation
Go Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Heat Transfer According to Fourier's Law
Go Heat Flow Through a Body = -(Thermal Conductivity of Material*Surface Area of Heat Flow*Temperature Difference/Thickness)
One Dimensional Heat Flux
Go Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1)
Newton's Law of Cooling
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
Non Ideal Body Surface Emittance
Go Real Surface Radiant Surface Emittance = Emissivity*[Stefan-BoltZ]*Surface Temperature^(4)
Convective Processes Heat Transfer Coefficient
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery temperature)
Thermal Conductivity given Critical Thickness of Insulation for Cylinder
Go Thermal Conductivity of Fin = Critical Thickness of Insulation*Heat Transfer Coefficient at Outer Surface
Diameter of Rod Circular Fin given Area of Cross-Section
Go Diameter of Circular Rod = sqrt((Cross-sectional area*4)/pi)
Critical Thickness of Insulation for Cylinder
Go Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient
Thermal Resistance in Convection Heat Transfer
Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)
Heat Transfer
Go Heat Flow Rate = Thermal Potential Difference/Thermal Resistance

13 Conduction, Convection and Radiation Calculators

Heat Transfer by Conduction at Base
Go Rate of Conductive Heat Transfer = (Thermal Conductivity*Cross Sectional Area of Fin*Perimeter of the Fin*Convective Heat Transfer Coefficient)^0.5*(Base Temperature-Ambient Temperature)
Heat Exchange by Radiation due to Geometric Arrangement
Go Heat Transfer = Emissivity*Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Black Bodies Heat Exchange by Radiation
Go Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Heat Transfer According to Fourier's Law
Go Heat Flow Through a Body = -(Thermal Conductivity of Material*Surface Area of Heat Flow*Temperature Difference/Thickness)
One Dimensional Heat Flux
Go Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1)
Newton's Law of Cooling
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
Non Ideal Body Surface Emittance
Go Real Surface Radiant Surface Emittance = Emissivity*[Stefan-BoltZ]*Surface Temperature^(4)
Thermal Resistance in Conduction
Go Thermal Resistance = (Thickness)/(Thermal Conductivity of Fin*Cross Sectional Area)
Convective Processes Heat Transfer Coefficient
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery temperature)
Thermal Conductivity given Critical Thickness of Insulation for Cylinder
Go Thermal Conductivity of Fin = Critical Thickness of Insulation*Heat Transfer Coefficient at Outer Surface
Critical Thickness of Insulation for Cylinder
Go Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient
Thermal Resistance in Convection Heat Transfer
Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)
Heat Transfer
Go Heat Flow Rate = Thermal Potential Difference/Thermal Resistance

One Dimensional Heat Flux Formula

Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1)
q' = -ko/t*(Twall 2-Twall 1)

What is heat flux?

Heat flux or the thermal flux, sometimes also referred to as heat flux density, is the rate of heat energy that passes through a surface. Depending on the exact definition of heat flux, its unit can be expressed as either W/m2 or W.It is defined as HαΔT, where H is the heat transfer coefficient in W/m2 K, A is the active surface area in m2, ΔT is the temperature difference

How to Calculate One Dimensional Heat Flux?

One Dimensional Heat Flux calculator uses Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1) to calculate the Heat Flux, One dimensional heat flux, We mean that temperature is a function of a single dimension or spatial coordinate. The basis of conduction heat transfer is Fourier's law. The symbol q is the heat flux, which is the heat per unit area. dT/dx is the thermal gradient in the direction of the flow. Heat Flux is denoted by q' symbol.

How to calculate One Dimensional Heat Flux using this online calculator? To use this online calculator for One Dimensional Heat Flux, enter Thermal Conductivity of Fin (ko), Wall Thickness (t), Temperature of Wall 2 (Twall 2) & Temperature of Wall 1 (Twall 1) and hit the calculate button. Here is how the One Dimensional Heat Flux calculation can be explained with given input values -> 1.300128 = -10.18/7.83*(299-300).

FAQ

What is One Dimensional Heat Flux?
One dimensional heat flux, We mean that temperature is a function of a single dimension or spatial coordinate. The basis of conduction heat transfer is Fourier's law. The symbol q is the heat flux, which is the heat per unit area. dT/dx is the thermal gradient in the direction of the flow and is represented as q' = -ko/t*(Twall 2-Twall 1) or Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1). Thermal Conductivity of Fin is rate of heat passes through Fin, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance, Wall Thickness is simply the width of the wall that we are taking under consideration, The Temperature of Wall 2 is defined as the heat maintained by wall 2 in a system of 2 walls & The Temperature of Wall 1 is the degree or intensity of heat present in Wall1.
How to calculate One Dimensional Heat Flux?
One dimensional heat flux, We mean that temperature is a function of a single dimension or spatial coordinate. The basis of conduction heat transfer is Fourier's law. The symbol q is the heat flux, which is the heat per unit area. dT/dx is the thermal gradient in the direction of the flow is calculated using Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1). To calculate One Dimensional Heat Flux, you need Thermal Conductivity of Fin (ko), Wall Thickness (t), Temperature of Wall 2 (Twall 2) & Temperature of Wall 1 (Twall 1). With our tool, you need to enter the respective value for Thermal Conductivity of Fin, Wall Thickness, Temperature of Wall 2 & Temperature of Wall 1 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 Flux?
In this formula, Heat Flux uses Thermal Conductivity of Fin, Wall Thickness, Temperature of Wall 2 & Temperature of Wall 1. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
  • Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery temperature)
  • Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery temperature)
  • Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
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