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Maximum Temperature in Solid Sphere Formula

GoMaximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula

GoMaximum Temperature in Solid Cylinder Formula

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

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

T_max - Maximum Temperature?T_w - Surface Temperature of Wall?q_G - Internal Heat Generation?R_s - Radius of Sphere?k - Thermal Conductivity?

Maximum Temperature in Solid Sphere Example

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Here is how the Maximum Temperature in Solid Sphere equation looks like with Values.

Here is how the Maximum Temperature in Solid Sphere equation looks like with Units.

Here is how the Maximum Temperature in Solid Sphere equation looks like.

500 = 273 + \frac{100 \cdot {11.775}^{2}}{6 \cdot 10.18}

500K = 273K + \frac{100W/m³ \cdot {11.775m}^{2}}{6 \cdot 10.18W/(m*K)}

500 = 273 + \frac{100 \cdot {11.775}^{2}}{6 \cdot 10.18}

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Maximum Temperature in Solid Sphere Solution

Follow our step by step solution on how to calculate Maximum Temperature in Solid Sphere?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T max = 273K + \frac{100W/m³ \cdot {11.775m}^{2}}{6 \cdot 10.18W/(m*K)}

Next Step Prepare to Evaluate

∴

T max = 273 + \frac{100 \cdot {11.775}^{2}}{6 \cdot 10.18}

Next Step Evaluate

∴

T max = 500.000023087367K

LAST Step Rounding Answer

∴

T max = 500K

Maximum Temperature in Solid Sphere 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 of Wall

Surface Temperature of wall 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: T_w

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Surface Temperature of 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

Radius of Sphere

Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.

Symbol: R_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Sphere

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 Plane Wall with Symmetrical Boundary Conditions

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

Go Maximum Temperature in Solid Cylinder

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

Maximum Temperature in Solid Sphere evaluator uses Maximum Temperature = Surface Temperature of Wall+(Internal Heat Generation*Radius of Sphere^2)/(6*Thermal Conductivity) to evaluate the Maximum Temperature, The Maximum temperature in solid sphere formula gives the value of maximum temperature when there is an internal heat generation source inside the sphere. Maximum Temperature is denoted by T_max symbol.

How to evaluate Maximum Temperature in Solid Sphere using this online evaluator? To use this online evaluator for Maximum Temperature in Solid Sphere, enter Surface Temperature of Wall (T_w), Internal Heat Generation (q_G), Radius of Sphere (R_s) & Thermal Conductivity (k) and hit the calculate button.

FAQs on Maximum Temperature in Solid Sphere

What is the formula to find Maximum Temperature in Solid Sphere?

The formula of Maximum Temperature in Solid Sphere is expressed as Maximum Temperature = Surface Temperature of Wall+(Internal Heat Generation*Radius of Sphere^2)/(6*Thermal Conductivity). Here is an example- 456.5064 = 273+(100*11.775042^2)/(6*10.18).

How to calculate Maximum Temperature in Solid Sphere?

With Surface Temperature of Wall (T_w), Internal Heat Generation (q_G), Radius of Sphere (R_s) & Thermal Conductivity (k) we can find Maximum Temperature in Solid Sphere using the formula - Maximum Temperature = Surface Temperature of Wall+(Internal Heat Generation*Radius of Sphere^2)/(6*Thermal Conductivity).

What are the other ways to Calculate Maximum Temperature?

Here are the different ways to Calculate Maximum Temperature-

Maximum Temperature=Surface Temperature+(Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity)
Maximum Temperature=Surface Temperature of Wall+(Internal Heat Generation*Radius of Cylinder^2)/(4*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 Solid Sphere be negative?

Yes, the Maximum Temperature in Solid Sphere, measured in Temperature can be negative.

Which unit is used to measure Maximum Temperature in Solid Sphere?

Maximum Temperature in Solid Sphere 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 Solid Sphere can be measured.

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Maximum Temperature in Solid Sphere Formula

​GoMaximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula

​GoMaximum Temperature in Solid Cylinder Formula

Maximum Temperature in Solid Sphere Example

Maximum Temperature in Solid Sphere Solution

Maximum Temperature in Solid Sphere 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 Solid Sphere?

FAQs on Maximum Temperature in Solid Sphere

Variable Name

GoMaximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula

GoMaximum Temperature in Solid Cylinder Formula