FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Maximum Temperature in Solid Cylinder Formula

GoMaximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula

GoMaximum Temperature in Solid Sphere Formula

Fx Copy

LaTeX Copy

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

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

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

Maximum Temperature in Solid Cylinder Example

With values

With units

Only example

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

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

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

500 = 273 + \frac{100 \cdot {9.6143}^{2}}{4 \cdot 10.18}

500K = 273K + \frac{100W/m³ \cdot {9.6143m}^{2}}{4 \cdot 10.18W/(m*K)}

500 = 273 + \frac{100 \cdot {9.6143}^{2}}{4 \cdot 10.18}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Heat and Mass Transfer » fx Maximum Temperature in Solid Cylinder

Maximum Temperature in Solid Cylinder Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

T max = 273 + \frac{100 \cdot {9.6143}^{2}}{4 \cdot 10.18}

Next Step Evaluate

∴

T max = 499.999950683694K

LAST Step Rounding Answer

∴

T max = 500K

Maximum Temperature in Solid Cylinder 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 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

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 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 Solid Cylinder?

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

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

FAQs on Maximum Temperature in Solid Cylinder

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

The formula of Maximum Temperature in Solid Cylinder is expressed as Maximum Temperature = Surface Temperature of Wall+(Internal Heat Generation*Radius of Cylinder^2)/(4*Thermal Conductivity). Here is an example- 456.5064 = 273+(100*9.61428^2)/(4*10.18).

How to calculate Maximum Temperature in Solid Cylinder?

With Surface Temperature of Wall (T_w), Internal Heat Generation (q_G), Radius of Cylinder (R_cy) & Thermal Conductivity (k) we can find Maximum Temperature in Solid Cylinder using the formula - Maximum Temperature = Surface Temperature of Wall+(Internal Heat Generation*Radius of Cylinder^2)/(4*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 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 Solid Cylinder be negative?

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

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

Maximum Temperature in Solid Cylinder 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 Cylinder can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Maximum Temperature in Solid Cylinder Formula

​GoMaximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula

​GoMaximum Temperature in Solid Sphere Formula

Maximum Temperature in Solid Cylinder Example

Maximum Temperature in Solid Cylinder Solution

Maximum Temperature in Solid Cylinder 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 Cylinder?

FAQs on Maximum Temperature in Solid Cylinder

Variable Name

GoMaximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula

GoMaximum Temperature in Solid Sphere Formula