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Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula

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Maximum Temperature is defined as the highest possible or permissible value of temperature. Check FAQs

T max = T 1 + \frac{q G \cdot b^{2}}{8 \cdot k}

T_max - Maximum Temperature?T₁ - Surface Temperature?q_G - Internal Heat Generation?b - Wall Thickness?k - Thermal Conductivity?

Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions Example

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Here is how the Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions equation looks like with Values.

Here is how the Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions equation looks like with Units.

Here is how the Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions equation looks like.

500 = 305 + \frac{100 \cdot {12.6019}^{2}}{8 \cdot 10.18}

500K = 305K + \frac{100W/m³ \cdot {12.6019m}^{2}}{8 \cdot 10.18W/(m*K)}

500 = 305 + \frac{100 \cdot {12.6019}^{2}}{8 \cdot 10.18}

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Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions Solution

Follow our step by step solution on how to calculate Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions?

FIRST Step Consider the formula

T max = T 1 + \frac{q G \cdot b^{2}}{8 \cdot k}

Next Step Substitute values of Variables

∴

T max = 305K + \frac{100W/m³ \cdot {12.6019m}^{2}}{8 \cdot 10.18W/(m*K)}

Next Step Prepare to Evaluate

∴

T max = 305 + \frac{100 \cdot {12.6019}^{2}}{8 \cdot 10.18}

Next Step Evaluate

∴

T max = 500.000011823459K

LAST Step Rounding Answer

∴

T max = 500K

Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula Elements

Variables

Maximum Temperature

Maximum Temperature is defined as the highest possible or permissible value of temperature.

Symbol: T_max

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Maximum Temperature

Surface Temperature

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.

Symbol: T₁

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Surface Temperature

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.

Symbol: q_G

Measurement: Power DensityUnit: W/m³

Note: Value should be greater than 0.

Formulas to find Internal Heat Generation

Wall Thickness

Wall Thickness is simply the width of the wall that we are taking under consideration.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wall Thickness

Thermal Conductivity

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.

Symbol: k

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Other Formulas to find Maximum Temperature

Go Maximum Temperature in Solid Cylinder

T max = T w + \frac{q G \cdot {R cy}^{2}}{4 \cdot k}

Go Maximum Temperature in Solid Sphere

T max = T w + \frac{q G \cdot {R s}^{2}}{6 \cdot k}

Go Maximum Temperature Inside Solid Cylinder Immersed in Fluid

T max = T ∞ + \frac{q G \cdot R cy \cdot (2 + \frac{h c \cdot R cy}{k})}{4 \cdot h c}

Other formulas in Steady State Heat Conduction with Heat Generation category

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

X = \frac{b}{2}

Go Temperature Inside Solid Cylinder at given Radius

t = \frac{q G}{4 \cdot k} \cdot ({R cy}^{2} - r^{2}) + T w

Go Temperature Inside Solid Cylinder at given Radius Immersed in Fluid

t = \frac{q G}{4 \cdot k} \cdot ({R cy}^{2} - r^{2}) + T ∞ + \frac{q G \cdot R cy}{2 \cdot h c}

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

t 1 = - \frac{q G \cdot b^{2}}{2 \cdot k} \cdot (\frac{x}{b} - {(\frac{x}{b})}^{2}) + T 1

How to Evaluate Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions?

Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions evaluator uses Maximum Temperature = Surface Temperature+(Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity) to evaluate the Maximum Temperature, The Maximum temperature in plane wall with symmetrical boundary conditions is the temperature when the temperature at both surfaces of the plane wall is equal. Maximum Temperature is denoted by T_max symbol.

How to evaluate Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions using this online evaluator? To use this online evaluator for Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions, enter Surface Temperature (T₁), Internal Heat Generation (q_G), Wall Thickness (b) & Thermal Conductivity (k) and hit the calculate button.

FAQs on Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions

What is the formula to find Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions?

The formula of Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions is expressed as Maximum Temperature = Surface Temperature+(Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity). Here is an example- 481.8173 = 305+(100*12.601905^2)/(8*10.18).

How to calculate Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions?

With Surface Temperature (T₁), Internal Heat Generation (q_G), Wall Thickness (b) & Thermal Conductivity (k) we can find Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions using the formula - Maximum Temperature = Surface Temperature+(Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity).

What are the other ways to Calculate Maximum Temperature?

Here are the different ways to Calculate Maximum Temperature-

Maximum Temperature=Surface Temperature of Wall+(Internal Heat Generation*Radius of Cylinder^2)/(4*Thermal Conductivity)
Maximum Temperature=Surface Temperature of Wall+(Internal Heat Generation*Radius of Sphere^2)/(6*Thermal Conductivity)
Maximum Temperature=Fluid Temperature+(Internal Heat Generation*Radius of Cylinder*(2+(Convection Heat Transfer Coefficient*Radius of Cylinder)/Thermal Conductivity))/(4*Convection Heat Transfer Coefficient)

Can the Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions be negative?

Yes, the Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions, measured in Temperature can be negative.

Which unit is used to measure Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions?

Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions can be measured.

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Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula

​GoMaximum Temperature in Solid Cylinder Formula

​GoMaximum Temperature in Solid Sphere Formula

Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions Example

Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions Solution

Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula Elements

Other Formulas to find Maximum Temperature

Other formulas in Steady State Heat Conduction with Heat Generation category

How to Evaluate Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions?

FAQs on Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions

Variable Name

GoMaximum Temperature in Solid Cylinder Formula

GoMaximum Temperature in Solid Sphere Formula