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Maximum Temperature Inside Solid Cylinder Immersed in Fluid Formula

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

T_max - Maximum Temperature?T_∞ - Fluid Temperature?q_G - Internal Heat Generation?R_cy - Radius of Cylinder?h_c - Convection Heat Transfer Coefficient?k - Thermal Conductivity?

Maximum Temperature Inside Solid Cylinder Immersed in Fluid Example

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

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

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

500 = 11 + \frac{100 \cdot 9.6143 \cdot (2 + \frac{1.8348 \cdot 9.6143}{10.18})}{4 \cdot 1.8348}

500K = 11K + \frac{100W/m³ \cdot 9.6143m \cdot (2 + \frac{1.8348W/m²*K \cdot 9.6143m}{10.18W/(m*K)})}{4 \cdot 1.8348W/m²*K}

500 = 11 + \frac{100 \cdot 9.6143 \cdot (2 + \frac{1.8348 \cdot 9.6143}{10.18})}{4 \cdot 1.8348}

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Maximum Temperature Inside Solid Cylinder Immersed in Fluid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T max = 11K + \frac{100W/m³ \cdot 9.6143m \cdot (2 + \frac{1.8348W/m²*K \cdot 9.6143m}{10.18W/(m*K)})}{4 \cdot 1.8348W/m²*K}

Next Step Prepare to Evaluate

∴

T max = 11 + \frac{100 \cdot 9.6143 \cdot (2 + \frac{1.8348 \cdot 9.6143}{10.18})}{4 \cdot 1.8348}

Next Step Evaluate

∴

T max = 499.999987745236K

LAST Step Rounding Answer

∴

T max = 500K

Maximum Temperature Inside Solid Cylinder Immersed in Fluid 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

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

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

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

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 in Solid Sphere

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

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 Inside Solid Cylinder Immersed in Fluid?

Maximum Temperature Inside Solid Cylinder Immersed in Fluid evaluator uses 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) to evaluate the Maximum Temperature, The Maximum temperature inside solid cylinder immersed in fluid formula gives the maximum value of temperature that exists inside the cylinder which is having an internal heat generation source and is immersed in a fluid. Maximum Temperature is denoted by T_max symbol.

How to evaluate Maximum Temperature Inside Solid Cylinder Immersed in Fluid using this online evaluator? To use this online evaluator for Maximum Temperature Inside Solid Cylinder Immersed in Fluid, enter Fluid Temperature (T_∞), Internal Heat Generation (q_G), Radius of Cylinder (R_cy), Convection Heat Transfer Coefficient (h_c) & Thermal Conductivity (k) and hit the calculate button.

FAQs on Maximum Temperature Inside Solid Cylinder Immersed in Fluid

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

The formula of Maximum Temperature Inside Solid Cylinder Immersed in Fluid is expressed as 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). Here is an example- 500 = 11+(100*9.61428*(2+(1.834786*9.61428)/10.18))/(4*1.834786).

How to calculate Maximum Temperature Inside Solid Cylinder Immersed in Fluid?

With Fluid Temperature (T_∞), Internal Heat Generation (q_G), Radius of Cylinder (R_cy), Convection Heat Transfer Coefficient (h_c) & Thermal Conductivity (k) we can find Maximum Temperature Inside Solid Cylinder Immersed in Fluid using the formula - 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).

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=Surface Temperature of Wall+(Internal Heat Generation*Radius of Sphere^2)/(6*Thermal Conductivity)

Can the Maximum Temperature Inside Solid Cylinder Immersed in Fluid be negative?

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

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

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

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Maximum Temperature Inside Solid Cylinder Immersed in Fluid Formula

​GoMaximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula

​GoMaximum Temperature in Solid Cylinder Formula

Maximum Temperature Inside Solid Cylinder Immersed in Fluid Example

Maximum Temperature Inside Solid Cylinder Immersed in Fluid Solution

Maximum Temperature Inside Solid Cylinder Immersed in Fluid Formula Elements

Other Formulas to find Maximum Temperature

Other formulas in Steady State Heat Conduction with Heat Generation category

How to Evaluate Maximum Temperature Inside Solid Cylinder Immersed in Fluid?

FAQs on Maximum Temperature Inside Solid Cylinder Immersed in Fluid

Variable Name

GoMaximum Temperature in Plane Wall with Symmetrical Boundary Conditions Formula

GoMaximum Temperature in Solid Cylinder Formula