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Temperature Inside Solid Cylinder at given Radius Formula

GoTemperature Inside Solid Cylinder at given Radius Immersed in Fluid Formula

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Temperature Solid Cylinder is the degree or intensity of heat present in a substance or object. Check FAQs

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

t - Temperature Solid Cylinder?q_G - Internal Heat Generation?k - Thermal Conductivity?R_cy - Radius of Cylinder?r - Radius?T_w - Surface Temperature of Wall?

Temperature Inside Solid Cylinder at given Radius Example

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Here is how the Temperature Inside Solid Cylinder at given Radius equation looks like with Values.

Here is how the Temperature Inside Solid Cylinder at given Radius equation looks like with Units.

Here is how the Temperature Inside Solid Cylinder at given Radius equation looks like.

460.7072 = \frac{100}{4 \cdot 10.18} \cdot ({9.6143}^{2} - 4^{2}) + 273

460.7072K = \frac{100W/m³}{4 \cdot 10.18W/(m*K)} \cdot ({9.6143m}^{2} - {4m}^{2}) + 273K

460.7072 = \frac{100}{4 \cdot 10.18} \cdot ({9.6143}^{2} - 4^{2}) + 273

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Temperature Inside Solid Cylinder at given Radius Solution

Follow our step by step solution on how to calculate Temperature Inside Solid Cylinder at given Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = \frac{100W/m³}{4 \cdot 10.18W/(m*K)} \cdot ({9.6143m}^{2} - {4m}^{2}) + 273K

Next Step Prepare to Evaluate

∴

t = \frac{100}{4 \cdot 10.18} \cdot ({9.6143}^{2} - 4^{2}) + 273

Next Step Evaluate

∴

t = 460.7072198389K

LAST Step Rounding Answer

∴

t = 460.7072K

Temperature Inside Solid Cylinder at given Radius Formula Elements

Variables

Temperature Solid Cylinder

Temperature Solid Cylinder is the degree or intensity of heat present in a substance or object.

Symbol: t

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature Solid Cylinder

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

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

Radius of Cylinder

Radius of Cylinder is a straight line from the center to the Cylinder's base to surface of the Cylinder.

Symbol: R_cy

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Cylinder

Radius

Radius is the radial distance to the point or plane up to which the value of the desired variable will be calculated.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius

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

Other Formulas to find Temperature Solid Cylinder

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}

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 Temperature Inside Solid Cylinder at given Radius?

Temperature Inside Solid Cylinder at given Radius evaluator uses Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Surface Temperature of Wall to evaluate the Temperature Solid Cylinder, The temperature inside solid cylinder at given radius formula gives the value of temperature at desired radius when there is an internal heat generation source inside the cylinder. Temperature Solid Cylinder is denoted by t symbol.

How to evaluate Temperature Inside Solid Cylinder at given Radius using this online evaluator? To use this online evaluator for Temperature Inside Solid Cylinder at given Radius, enter Internal Heat Generation (q_G), Thermal Conductivity (k), Radius of Cylinder (R_cy), Radius (r) & Surface Temperature of Wall (T_w) and hit the calculate button.

FAQs on Temperature Inside Solid Cylinder at given Radius

What is the formula to find Temperature Inside Solid Cylinder at given Radius?

The formula of Temperature Inside Solid Cylinder at given Radius is expressed as Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Surface Temperature of Wall. Here is an example- 460.7072 = 100/(4*10.18)*(9.61428^2-4^2)+273.

How to calculate Temperature Inside Solid Cylinder at given Radius?

With Internal Heat Generation (q_G), Thermal Conductivity (k), Radius of Cylinder (R_cy), Radius (r) & Surface Temperature of Wall (T_w) we can find Temperature Inside Solid Cylinder at given Radius using the formula - Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Surface Temperature of Wall.

What are the other ways to Calculate Temperature Solid Cylinder?

Here are the different ways to Calculate Temperature Solid Cylinder-

Temperature Solid Cylinder=Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Fluid Temperature+(Internal Heat Generation*Radius of Cylinder)/(2*Convection Heat Transfer Coefficient)

Can the Temperature Inside Solid Cylinder at given Radius be negative?

Yes, the Temperature Inside Solid Cylinder at given Radius, measured in Temperature can be negative.

Which unit is used to measure Temperature Inside Solid Cylinder at given Radius?

Temperature Inside Solid Cylinder at given Radius is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature Inside Solid Cylinder at given Radius can be measured.

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Temperature Inside Solid Cylinder at given Radius Formula

​GoTemperature Inside Solid Cylinder at given Radius Immersed in Fluid Formula

Temperature Inside Solid Cylinder at given Radius Example

Temperature Inside Solid Cylinder at given Radius Solution

Temperature Inside Solid Cylinder at given Radius Formula Elements

Other Formulas to find Temperature Solid Cylinder

Other formulas in Steady State Heat Conduction with Heat Generation category

How to Evaluate Temperature Inside Solid Cylinder at given Radius?

FAQs on Temperature Inside Solid Cylinder at given Radius

Variable Name

GoTemperature Inside Solid Cylinder at given Radius Immersed in Fluid Formula