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 = b/2
This formula uses 2 Variables
Variables Used
Location of Maximum Temperature - (Measured in Meter) - Location of Maximum Temperature is the point inside the body where the maximum temperature exists.
Wall Thickness - (Measured in Meter) - Wall Thickness is simply the width of the wall that we are taking under consideration.
STEP 1: Convert Input(s) to Base Unit
Wall Thickness: 12.601905 Meter --> 12.601905 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
X = b/2 --> 12.601905/2
Evaluating ... ...
X = 6.3009525
STEP 3: Convert Result to Output's Unit
6.3009525 Meter --> No Conversion Required
FINAL ANSWER
6.3009525 6.300952 Meter <-- Location of Maximum Temperature
(Calculation completed in 00.004 seconds)

Credits

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14 Steady State Heat Conduction with Heat Generation Calculators

Temperature Inside Hollow Cylinder at given Radius between Inner and Outer Radius
Go Temperature = Internal Heat Generation/(4*Thermal Conductivity)*(Outer Radius of Cylinder^2-Radius^2)+Outer Surface Temperature+ln(Radius/Outer Radius of Cylinder)/ln(Outer Radius of Cylinder/Inner Radius of Cylinder)*(Internal Heat Generation/(4*Thermal Conductivity)*(Outer Radius of Cylinder^2-Inner Radius of Cylinder^2)+(Outer Surface Temperature-Inner Surface Temperature))
Temperature Inside Hollow Sphere at given Radius between Inner and Outer Radius
Go Temperature = Surface Temperature of wall+Internal Heat Generation/(6*Thermal Conductivity)*(Outer Radius of Sphere^2-Radius^2)+(Internal Heat Generation*Inner Radius of Sphere^3)/(3*Thermal Conductivity)*(1/Outer Radius of Sphere-1/Radius)
Temperature Inside Solid Cylinder at given Radius Immersed in Fluid
Go Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Fluid Temperature+(Internal Heat Generation*Radius of Cylinder)/(2*Convection Heat Transfer Coefficient)
Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid
Go 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 Inside Solid Cylinder Immersed in Fluid
Go Maximum Temperature = Fluid Temperature+(Internal Heat Generation*Radius of Cylinder)/(4*Convection Heat Transfer Coefficient*(2+(Convection Heat Transfer Coefficient*Radius of Cylinder)/Thermal Conductivity))
Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions
Go Maximum Temperature of Plain Wall = (Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity)+(Internal Heat Generation*Wall Thickness)/(2*Convection Heat Transfer Coefficient)+Fluid Temperature
Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions
Go Temperature 1 = -(Internal Heat Generation*Wall Thickness^2)/(2*Thermal Conductivity)*(Thickness/Wall Thickness-(Thickness/Wall Thickness)^2)+Surface Temperature
Temperature Inside Solid Cylinder at given Radius
Go Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Surface Temperature of wall
Temperature Inside Solid Sphere at given Radius
Go Temperature 2 = Surface Temperature of wall+Internal Heat Generation/(6*Thermal Conductivity)*(Radius of Sphere^2-Radius^2)
Surface Temperature of Solid Cylinder Immersed in Fluid
Go Surface Temperature of wall = Fluid Temperature+(Internal Heat Generation*Radius of Cylinder)/(2*Convection Heat Transfer Coefficient)
Maximum Temperature in Solid Cylinder
Go Maximum Temperature = Surface Temperature of wall+(Internal Heat Generation*Radius of Cylinder^2)/(4*Thermal Conductivity)
Maximum Temperature in Solid Sphere
Go Maximum Temperature = Surface Temperature of wall+(Internal Heat Generation*Radius of Sphere^2)/(6*Thermal Conductivity)
Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions
Go Maximum Temperature = Surface Temperature+(Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity)
Location of Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions
Go Location of Maximum Temperature = Wall Thickness/2

Location of Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula

Location of Maximum Temperature = Wall Thickness/2
X = b/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 (b) 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 -> 6.300952 = 12.601905/2.

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 = b/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 (b). 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.
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