Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions Calculator

✖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.ⓘ Internal Heat Generation [q_G]			+10% -10%
✖Wall Thickness is simply the width of the wall that we are taking under consideration.ⓘ Wall Thickness [b]			+10% -10%
✖Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity [k]			+10% -10%
✖Thickness is the distance from one end to the desired end of the body or object.ⓘ Thickness [x]			+10% -10%
✖Surface Temperature is the temperature at or near a surface. Specifically, it may refer to as Surface air temperature, the temperature of the air near the surface of the earth.ⓘ Surface Temperature [T₁]			+10% -10%

✖Temperature 1 is the degree or intensity of heat present in a substance or object.ⓘ Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions [t₁]

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Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature 1 = -(Internal Heat Generation*Wall Thickness^2)/(2*Thermal Conductivity)*(Thickness/Wall Thickness-(Thickness/Wall Thickness)^2)+Surface Temperature
t₁ = -(q_G*b^2)/(2*k)*(x/b-(x/b)^2)+T₁
This formula uses 6 Variables

Variables Used

Temperature 1 - (Measured in Kelvin) - Temperature 1 is the degree or intensity of heat present in a substance or object.
Internal Heat Generation - (Measured in Watt Per Cubic Meter) - 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 - (Measured in Meter) - Wall Thickness is simply the width of the wall that we are taking under consideration.
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
Thickness - (Measured in Meter) - Thickness is the distance from one end to the desired end of the body or object.
Surface Temperature - (Measured in Kelvin) - Surface Temperature is the temperature at or near a surface. Specifically, it may refer to as Surface air temperature, the temperature of the air near the surface of the earth.

STEP 1: Convert Input(s) to Base Unit

Internal Heat Generation: 100 Watt Per Cubic Meter --> 100 Watt Per Cubic Meter No Conversion Required
Wall Thickness: 12.601905 Meter --> 12.601905 Meter No Conversion Required
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Thickness: 4.266748 Meter --> 4.266748 Meter No Conversion Required
Surface Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t₁ = -(q_G*b^2)/(2*k)*(x/b-(x/b)^2)+T₁ --> -(100*12.601905^2)/(2*10.18)*(4.266748/12.601905-(4.266748/12.601905)^2)+305

Evaluating ... ...

t₁ = 130.324094010629

STEP 3: Convert Result to Output's Unit

130.324094010629 Kelvin --> No Conversion Required

FINAL ANSWER

130.324094010629 ≈ 130.3241 Kelvin <-- Temperature 1

(Calculation completed in 00.021 seconds)

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< Steady State Heat Conduction with Heat Generation Calculators

Maximum Temperature in Solid Cylinder

LaTeX Go Maximum Temperature = Surface Temperature of Wall+(Internal Heat Generation*Radius of Cylinder^2)/(4*Thermal Conductivity)

Maximum Temperature in Solid Sphere

LaTeX 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

LaTeX 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

LaTeX Go Location of Maximum Temperature = Wall Thickness/2

Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions Formula

LaTeX Go

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 Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions?

Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions calculator uses Temperature 1 = -(Internal Heat Generation*Wall Thickness^2)/(2*Thermal Conductivity)*(Thickness/Wall Thickness-(Thickness/Wall Thickness)^2)+Surface Temperature to calculate the Temperature 1, The Temperature inside plane wall at given thickness x with symmetrical boundary conditions formula gives the value of temperature at desired thickness inside the plane wall provided with an internal heat generation source. Temperature 1 is denoted by t₁ symbol.

How to calculate Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions using this online calculator? To use this online calculator for Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions, enter Internal Heat Generation (q_G), Wall Thickness (b), Thermal Conductivity (k), Thickness (x) & Surface Temperature (T₁) and hit the calculate button. Here is how the Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions calculation can be explained with given input values -> 130.3241 = -(100*12.601905^2)/(2*10.18)*(4.266748/12.601905-(4.266748/12.601905)^2)+305.

FAQ

What is Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions?

The Temperature inside plane wall at given thickness x with symmetrical boundary conditions formula gives the value of temperature at desired thickness inside the plane wall provided with an internal heat generation source and is represented as t₁ = -(q_G*b^2)/(2*k)*(x/b-(x/b)^2)+T₁ or Temperature 1 = -(Internal Heat Generation*Wall Thickness^2)/(2*Thermal Conductivity)*(Thickness/Wall Thickness-(Thickness/Wall Thickness)^2)+Surface 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 rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance, Thickness is the distance from one end to the desired end of the body or object & Surface Temperature is the temperature at or near a surface. Specifically, it may refer to as Surface air temperature, the temperature of the air near the surface of the earth.

How to calculate Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions?

The Temperature inside plane wall at given thickness x with symmetrical boundary conditions formula gives the value of temperature at desired thickness inside the plane wall provided with an internal heat generation source is calculated using Temperature 1 = -(Internal Heat Generation*Wall Thickness^2)/(2*Thermal Conductivity)*(Thickness/Wall Thickness-(Thickness/Wall Thickness)^2)+Surface Temperature. To calculate Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions, you need Internal Heat Generation (q_G), Wall Thickness (b), Thermal Conductivity (k), Thickness (x) & Surface Temperature (T₁). With our tool, you need to enter the respective value for Internal Heat Generation, Wall Thickness, Thermal Conductivity, Thickness & Surface Temperature 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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