## Credits

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## Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions Solution

STEP 0: Pre-Calculation Summary
Formula Used
maximum_temperature = (Internal heat generation*(Wall thickness)^2/(8*Thermal Conductivity))+(Internal heat generation*Wall thickness/(2*Convection heat transfer coefficient))+Fluid temperature
Tmax = (qG*(t)^2/(8*k))+(qG*t/(2*h))+T∞
This formula uses 5 Variables
Variables Used
Internal heat generation - Internal heat generation is defined as the conversion of electrical, chemical, or nuclear energy into heat (or thermal) energy which leads to a rise in temperature throughout the medium. (Measured in Watt Per Cubic Metre)
Wall thickness - Wall thickness is simply the width of the wall that we are taking under consideration. (Measured in Meter)
Thermal Conductivity - Thermal Conductivity is the rate at which heat passes through a specified material, expressed as the amount of heat that flows per unit time through a unit area with a temperature gradient of one degree per unit distance. (Measured in Watt per Meter per K)
Convection heat transfer coefficient - Convection heat transfer coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit kellvin. (Measured in Watt per Meter² per K)
Fluid temperature - Fluid temperature is the temperature of the fluid surrounding the object. (Measured in Kelvin)
STEP 1: Convert Input(s) to Base Unit
Internal heat generation: 100 Watt Per Cubic Metre --> 100 Watt Per Cubic Metre No Conversion Required
Wall thickness: 5 Meter --> 5 Meter No Conversion Required
Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Convection heat transfer coefficient: 1 Watt per Meter² per K --> 1 Watt per Meter² per K No Conversion Required
Fluid temperature: 350 Kelvin --> 350 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tmax = (qG*(t)^2/(8*k))+(qG*t/(2*h))+T∞ --> (100*(5)^2/(8*10))+(100*5/(2*1))+350
Evaluating ... ...
Tmax = 631.25
STEP 3: Convert Result to Output's Unit
631.25 Kelvin --> No Conversion Required
631.25 Kelvin <-- Maximum temperature
(Calculation completed in 00.016 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
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
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

### Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions Formula

maximum_temperature = (Internal heat generation*(Wall thickness)^2/(8*Thermal Conductivity))+(Internal heat generation*Wall thickness/(2*Convection heat transfer coefficient))+Fluid temperature
Tmax = (qG*(t)^2/(8*k))+(qG*t/(2*h))+T∞

## 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 Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions?

Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions calculator uses maximum_temperature = (Internal heat generation*(Wall thickness)^2/(8*Thermal Conductivity))+(Internal heat generation*Wall thickness/(2*Convection heat transfer coefficient))+Fluid temperature to calculate the Maximum temperature, The Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions formula gives the value of the temperature at the midplane of the plane wall which is surrounded by the fluid having thermal symmetry around the wall. Maximum temperature is denoted by Tmax symbol.

How to calculate Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions using this online calculator? To use this online calculator for Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions, enter Internal heat generation (qG), Wall thickness (t), Thermal Conductivity (k), Convection heat transfer coefficient (h) & Fluid temperature (T∞) and hit the calculate button. Here is how the Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions calculation can be explained with given input values -> 631.25 = (100*(5)^2/(8*10))+(100*5/(2*1))+350.

### FAQ

What is Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions?
The Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions formula gives the value of the temperature at the midplane of the plane wall which is surrounded by the fluid having thermal symmetry around the wall and is represented as Tmax = (qG*(t)^2/(8*k))+(qG*t/(2*h))+T∞ or maximum_temperature = (Internal heat generation*(Wall thickness)^2/(8*Thermal Conductivity))+(Internal heat generation*Wall thickness/(2*Convection heat transfer coefficient))+Fluid temperature. Internal heat generation is defined as the conversion of electrical, chemical, or nuclear energy into heat (or thermal) energy which leads to a rise in temperature throughout the medium, Wall thickness is simply the width of the wall that we are taking under consideration, Thermal Conductivity is the rate at which heat passes through a specified material, expressed as the amount of heat that flows per unit time through a unit area with a temperature gradient of one degree per unit distance, Convection heat transfer coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit kellvin & Fluid temperature is the temperature of the fluid surrounding the object.
How to calculate Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions?
The Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions formula gives the value of the temperature at the midplane of the plane wall which is surrounded by the fluid having thermal symmetry around the wall is calculated using maximum_temperature = (Internal heat generation*(Wall thickness)^2/(8*Thermal Conductivity))+(Internal heat generation*Wall thickness/(2*Convection heat transfer coefficient))+Fluid temperature. To calculate Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions, you need Internal heat generation (qG), Wall thickness (t), Thermal Conductivity (k), Convection heat transfer coefficient (h) & Fluid temperature (T∞). With our tool, you need to enter the respective value for Internal heat generation, Wall thickness, Thermal Conductivity, Convection heat transfer coefficient & Fluid temperature 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 Maximum temperature?
In this formula, Maximum temperature uses Internal heat generation, Wall thickness, Thermal Conductivity, Convection heat transfer coefficient & Fluid temperature. 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)) 