## Credits

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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## Temperature at given thickness x inside plane wall surrounded by fluid Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
T = (qG/(8*k))*((t)^2-(4*(x)^2))+(qG*t/(2*h))+T∞
This formula uses 6 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)
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)
Wall thickness - Wall thickness is simply the width of the wall that we are taking under consideration. (Measured in Meter)
Thickness - Thickness is the distance from one end to the desired end of the body or object. (Measured in Meter)
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
Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Wall thickness: 5 Meter --> 5 Meter No Conversion Required
Thickness: 2 Meter --> 2 Meter 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
T = (qG/(8*k))*((t)^2-(4*(x)^2))+(qG*t/(2*h))+T∞ --> (100/(8*10))*((5)^2-(4*(2)^2))+(100*5/(2*1))+350
Evaluating ... ...
T = 611.25
STEP 3: Convert Result to Output's Unit
611.25 Kelvin --> No Conversion Required
611.25 Kelvin <-- Temperature
(Calculation completed in 00.031 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

### Temperature at given thickness x inside plane wall surrounded by fluid Formula

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
T = (qG/(8*k))*((t)^2-(4*(x)^2))+(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 is 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.

## How to Calculate Temperature at given thickness x inside plane wall surrounded by fluid?

Temperature at given thickness x inside plane wall surrounded by fluid calculator uses 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 to calculate the Temperature, The Temperature at given thickness x inside plane wall surrounded by fluid formula gives the value of temperature at the desired thickness of the plane wall which is provided with an internal heat generation source and surrounded by a fluid with the symmetrical temperature conditions around the wall. Temperature is denoted by T symbol.

How to calculate Temperature at given thickness x inside plane wall surrounded by fluid using this online calculator? To use this online calculator for Temperature at given thickness x inside plane wall surrounded by fluid, enter Internal heat generation (qG), Thermal Conductivity (k), Wall thickness (t), Thickness (x), Convection heat transfer coefficient (h) & Fluid temperature (T∞) and hit the calculate button. Here is how the Temperature at given thickness x inside plane wall surrounded by fluid calculation can be explained with given input values -> 611.25 = (100/(8*10))*((5)^2-(4*(2)^2))+(100*5/(2*1))+350.

### FAQ

What is Temperature at given thickness x inside plane wall surrounded by fluid?
The Temperature at given thickness x inside plane wall surrounded by fluid formula gives the value of temperature at the desired thickness of the plane wall which is provided with an internal heat generation source and surrounded by a fluid with the symmetrical temperature conditions around the wall and is represented as T = (qG/(8*k))*((t)^2-(4*(x)^2))+(qG*t/(2*h))+T∞ or 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. 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, 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, Wall thickness is simply the width of the wall that we are taking under consideration, Thickness is the distance from one end to the desired end of the body or object, 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 Temperature at given thickness x inside plane wall surrounded by fluid?
The Temperature at given thickness x inside plane wall surrounded by fluid formula gives the value of temperature at the desired thickness of the plane wall which is provided with an internal heat generation source and surrounded by a fluid with the symmetrical temperature conditions around the wall is calculated using 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. To calculate Temperature at given thickness x inside plane wall surrounded by fluid, you need Internal heat generation (qG), Thermal Conductivity (k), Wall thickness (t), Thickness (x), Convection heat transfer coefficient (h) & Fluid temperature (T∞). With our tool, you need to enter the respective value for Internal heat generation, Thermal Conductivity, Wall thickness, Thickness, 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 Temperature?
In this formula, Temperature uses Internal heat generation, Thermal Conductivity, Wall thickness, Thickness, 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))