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Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions Formula

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

t max = \frac{q G \cdot b^{2}}{8 \cdot k} + \frac{q G \cdot b}{2 \cdot h c} + T ∞

t_max - Maximum Temperature of Plain Wall?q_G - Internal Heat Generation?b - Wall Thickness?k - Thermal Conductivity?h_c - Convection Heat Transfer Coefficient?T_∞ - Fluid Temperature?

Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions Example

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

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

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

549.4162 = \frac{100 \cdot {12.6019}^{2}}{8 \cdot 10.18} + \frac{100 \cdot 12.6019}{2 \cdot 1.8348} + 11

549.4162K = \frac{100W/m³ \cdot {12.6019m}^{2}}{8 \cdot 10.18W/(m*K)} + \frac{100W/m³ \cdot 12.6019m}{2 \cdot 1.8348W/m²*K} + 11K

549.4162 = \frac{100 \cdot {12.6019}^{2}}{8 \cdot 10.18} + \frac{100 \cdot 12.6019}{2 \cdot 1.8348} + 11

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Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions Solution

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

FIRST Step Consider the formula

t max = \frac{q G \cdot b^{2}}{8 \cdot k} + \frac{q G \cdot b}{2 \cdot h c} + T ∞

Next Step Substitute values of Variables

∴

t max = \frac{100W/m³ \cdot {12.6019m}^{2}}{8 \cdot 10.18W/(m*K)} + \frac{100W/m³ \cdot 12.6019m}{2 \cdot 1.8348W/m²*K} + 11K

Next Step Prepare to Evaluate

∴

t max = \frac{100 \cdot {12.6019}^{2}}{8 \cdot 10.18} + \frac{100 \cdot 12.6019}{2 \cdot 1.8348} + 11

Next Step Evaluate

∴

t max = 549.416219490184K

LAST Step Rounding Answer

∴

t max = 549.4162K

Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions Formula Elements

Variables

Maximum Temperature of Plain Wall

Maximum Temperature of Plain wall 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 of Plain Wall

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

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 temperature.

Symbol: h_c

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Convection Heat Transfer Coefficient

Fluid Temperature

Fluid Temperature is the temperature of the fluid surrounding the object.

Symbol: T_∞

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Fluid Temperature

Other formulas in Steady State Heat Conduction with Heat Generation category

Go Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions

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

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

X = \frac{b}{2}

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}

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

Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions evaluator uses 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 to evaluate the Maximum Temperature of Plain Wall, 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 of Plain Wall is denoted by t_max symbol.

How to evaluate Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions using this online evaluator? To use this online evaluator for Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions, enter Internal Heat Generation (q_G), Wall Thickness (b), Thermal Conductivity (k), Convection Heat Transfer Coefficient (h_c) & Fluid Temperature (T_∞) and hit the calculate button.

FAQs on Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions

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

The formula of Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions is expressed as 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. Here is an example- 549.4162 = (100*12.601905^2)/(8*10.18)+(100*12.601905)/(2*1.834786)+11.

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

With Internal Heat Generation (q_G), Wall Thickness (b), Thermal Conductivity (k), Convection Heat Transfer Coefficient (h_c) & Fluid Temperature (T_∞) we can find Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions using the formula - 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.

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

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

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

Maximum Temperature in Plane Wall Surrounded by Fluid 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 Surrounded by Fluid with Symmetrical Boundary Conditions can be measured.

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Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions Formula

Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions Example

Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions Solution

Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions Formula Elements

Other formulas in Steady State Heat Conduction with Heat Generation category

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

FAQs on Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions

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