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Location of maximum temperature in plane wall with symmetrical boundary conditions Solution

STEP 0: Pre-Calculation Summary
Formula Used
location_of_maximum_temperature = Wall thickness/2
x = t/2
This formula uses 1 Variables
Variables Used
Wall thickness - Wall thickness is simply the width of the wall that we are taking under consideration. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Wall thickness: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
x = t/2 --> 5/2
Evaluating ... ...
x = 2.5
STEP 3: Convert Result to Output's Unit
2.5 Meter --> No Conversion Required
FINAL ANSWER
2.5 Meter <-- Location of maximum temperature
(Calculation completed in 00.000 seconds)

10+ Steady state heat conduction with heat generation Calculators

Temperature at given thickness x inside plane wall surrounded by fluid
temperature = (Internal heat generation/(8*Thermal Conductivity))*((Wall thickness)^2-(4*(Thickness)^2))+(Internal heat generation*Wall thickness/(2*Convection heat transfer coefficient))+Fluid temperature Go
Temperature inside solid cylinder at given radius immersed in fluid
temperature = (Internal heat generation/(4*Thermal Conductivity))*((Cylinder Radius)^2-(Radius)^2)+Fluid temperature+(Internal heat generation*Cylinder Radius/(2*Convection heat transfer coefficient)) Go
Maximum temperature inside solid cylinder immersed in fluid
maximum_temperature = Fluid temperature+(((Internal heat generation*Cylinder Radius)/(4*Convection heat transfer coefficient))*(2+(Convection heat transfer coefficient*Cylinder Radius/Thermal Conductivity))) Go
Temperature inside plane wall at given thickness x with symmetrical boundary conditions
temperature = -(((Internal heat generation*(Wall thickness)^2)/(2*Thermal Conductivity))*((Thickness/Wall thickness)-(Thickness/Wall thickness)^2))+Surface temperature Go
Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions
maximum_temperature = (Internal heat generation*(Wall thickness)^2/(8*Thermal Conductivity))+(Internal heat generation*Wall thickness/(2*Convection heat transfer coefficient))+Fluid temperature Go
Temperature inside solid cylinder at given radius
temperature = (Internal heat generation/(4*Thermal Conductivity))*((Cylinder Radius)^2-(Given radius)^2)+Surface temperature Go
Maximum temperature in solid sphere
maximum_temperature = Surface temperature+((Internal heat generation*(Radius of Sphere)^2)/(6*Thermal Conductivity)) Go
Maximum temperature in solid cylinder
maximum_temperature = Surface temperature+((Internal heat generation*(Cylinder Radius)^2)/(4*Thermal Conductivity)) Go
Maximum temperature in plane wall with symmetrical boundary conditions
maximum_temperature = Surface temperature+((Internal heat generation*(Wall thickness)^2)/(8*Thermal Conductivity)) Go
Location of maximum temperature in plane wall with symmetrical boundary conditions
location_of_maximum_temperature = Wall thickness/2 Go

Location of maximum temperature in plane wall with symmetrical boundary conditions Formula

location_of_maximum_temperature = Wall thickness/2
x = t/2

What is steady state conduction?

Steady-state conduction is the form of conduction that happens when the temperature difference(s) driving the conduction are constant.

What are symmetrical boundary conditions?

Symmetrical boundary conditions are the conditions about the plane, line, or point which tend to have thermal symmetry about them.

How to Calculate Location of maximum temperature in plane wall with symmetrical boundary conditions?

Location of maximum temperature in plane wall with symmetrical boundary conditions calculator uses location_of_maximum_temperature = Wall thickness/2 to calculate the Location of maximum temperature, The Location of maximum temperature in plane wall with symmetrical boundary conditions formula is the location inside the wall where maximum temperature exists. Location of maximum temperature is denoted by x symbol.

How to calculate Location of maximum temperature in plane wall with symmetrical boundary conditions using this online calculator? To use this online calculator for Location of maximum temperature in plane wall with symmetrical boundary conditions, enter Wall thickness (t) and hit the calculate button. Here is how the Location of maximum temperature in plane wall with symmetrical boundary conditions calculation can be explained with given input values -> 2.5 = 5/2.

FAQ

What is Location of maximum temperature in plane wall with symmetrical boundary conditions?
The Location of maximum temperature in plane wall with symmetrical boundary conditions formula is the location inside the wall where maximum temperature exists and is represented as x = t/2 or location_of_maximum_temperature = Wall thickness/2. Wall thickness is simply the width of the wall that we are taking under consideration.
How to calculate Location of maximum temperature in plane wall with symmetrical boundary conditions?
The Location of maximum temperature in plane wall with symmetrical boundary conditions formula is the location inside the wall where maximum temperature exists is calculated using location_of_maximum_temperature = Wall thickness/2. To calculate Location of maximum temperature in plane wall with symmetrical boundary conditions, you need Wall thickness (t). With our tool, you need to enter the respective value for Wall thickness 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 Location of maximum temperature?
In this formula, Location of maximum temperature uses Wall thickness. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • maximum_temperature = Surface temperature+((Internal heat generation*(Wall thickness)^2)/(8*Thermal Conductivity))
  • location_of_maximum_temperature = Wall thickness/2
  • maximum_temperature = Surface temperature+((Internal heat generation*(Cylinder Radius)^2)/(4*Thermal Conductivity))
  • maximum_temperature = Surface temperature+((Internal heat generation*(Radius of Sphere)^2)/(6*Thermal Conductivity))
  • temperature = (Internal heat generation/(4*Thermal Conductivity))*((Cylinder Radius)^2-(Given radius)^2)+Surface temperature
  • temperature = (Internal heat generation/(4*Thermal Conductivity))*((Cylinder Radius)^2-(Radius)^2)+Fluid temperature+(Internal heat generation*Cylinder Radius/(2*Convection heat transfer coefficient))
  • temperature = -(((Internal heat generation*(Wall thickness)^2)/(2*Thermal Conductivity))*((Thickness/Wall thickness)-(Thickness/Wall thickness)^2))+Surface temperature
  • temperature = (Internal heat generation/(8*Thermal Conductivity))*((Wall thickness)^2-(4*(Thickness)^2))+(Internal heat generation*Wall thickness/(2*Convection heat transfer coefficient))+Fluid temperature
  • maximum_temperature = (Internal heat generation*(Wall thickness)^2/(8*Thermal Conductivity))+(Internal heat generation*Wall thickness/(2*Convection heat transfer coefficient))+Fluid temperature
  • maximum_temperature = Fluid temperature+(((Internal heat generation*Cylinder Radius)/(4*Convection heat transfer coefficient))*(2+(Convection heat transfer coefficient*Cylinder Radius/Thermal Conductivity)))
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