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Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid Formula

GoTemperature Inside Hollow Cylinder at given Radius between Inner and Outer Radius Formula

GoTemperature Inside Hollow Sphere at given Radius between Inner and Outer Radius Formula

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

T = \frac{q G}{8 \cdot k} \cdot (b^{2} - 4 \cdot x^{2}) + \frac{q G \cdot b}{2 \cdot h c} + T ∞

T - Temperature?q_G - Internal Heat Generation?k - Thermal Conductivity?b - Wall Thickness?x - Thickness?h_c - Convection Heat Transfer Coefficient?T_∞ - Fluid Temperature?

Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid Example

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Here is how the Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid equation looks like with Values.

Here is how the Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid equation looks like with Units.

Here is how the Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid equation looks like.

460 = \frac{100}{8 \cdot 10.18} \cdot ({12.6019}^{2} - 4 \cdot {4.2667}^{2}) + \frac{100 \cdot 12.6019}{2 \cdot 1.8348} + 11

460K = \frac{100W/m³}{8 \cdot 10.18W/(m*K)} \cdot ({12.6019m}^{2} - 4 \cdot {4.2667m}^{2}) + \frac{100W/m³ \cdot 12.6019m}{2 \cdot 1.8348W/m²*K} + 11K

460 = \frac{100}{8 \cdot 10.18} \cdot ({12.6019}^{2} - 4 \cdot {4.2667}^{2}) + \frac{100 \cdot 12.6019}{2 \cdot 1.8348} + 11

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Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid Solution

Follow our step by step solution on how to calculate Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid?

FIRST Step Consider the formula

T = \frac{q G}{8 \cdot k} \cdot (b^{2} - 4 \cdot x^{2}) + \frac{q G \cdot b}{2 \cdot h c} + T ∞

Next Step Substitute values of Variables

∴

T = \frac{100W/m³}{8 \cdot 10.18W/(m*K)} \cdot ({12.6019m}^{2} - 4 \cdot {4.2667m}^{2}) + \frac{100W/m³ \cdot 12.6019m}{2 \cdot 1.8348W/m²*K} + 11K

Next Step Prepare to Evaluate

∴

T = \frac{100}{8 \cdot 10.18} \cdot ({12.6019}^{2} - 4 \cdot {4.2667}^{2}) + \frac{100 \cdot 12.6019}{2 \cdot 1.8348} + 11

Next Step Evaluate

∴

T = 460.00001862818K

LAST Step Rounding Answer

∴

T = 460K

Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid Formula Elements

Variables

Temperature

Temperature 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

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

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

Thickness

Thickness is the distance from one end to the desired end of the body or object.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness

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 to find Temperature

Go Temperature Inside Hollow Cylinder at given Radius between Inner and Outer Radius

T = \frac{q G}{4 \cdot k} \cdot ({r o}^{2} - r^{2}) + T o + \frac{\ln (\frac{r}{r o})}{\ln (\frac{r o}{r i})} \cdot (\frac{q G}{4 \cdot k} \cdot ({r o}^{2} - {r i}^{2}) + (T o - T i))

Go Temperature Inside Hollow Sphere at given Radius between Inner and Outer Radius

T = T w + \frac{q G}{6 \cdot k} \cdot ({r 2}^{2} - r^{2}) + \frac{q G \cdot {r 1}^{3}}{3 \cdot k} \cdot (\frac{1}{r 2} - \frac{1}{r})

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}

How to Evaluate Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid?

Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid evaluator uses Temperature = Internal Heat Generation/(8*Thermal Conductivity)*(Wall Thickness^2-4*Thickness^2)+(Internal Heat Generation*Wall Thickness)/(2*Convection Heat Transfer Coefficient)+Fluid Temperature to evaluate the Temperature, The Temperature at given thickness x inside plane wall surrounded by fluid formula gives the value of temperature at the desired thickness of the plane wall which is provided with an internal heat generation source and surrounded by a fluid with the symmetrical temperature conditions around the wall. Temperature is denoted by T symbol.

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

FAQs on Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid

What is the formula to find Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid?

The formula of Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid is expressed as Temperature = Internal Heat Generation/(8*Thermal Conductivity)*(Wall Thickness^2-4*Thickness^2)+(Internal Heat Generation*Wall Thickness)/(2*Convection Heat Transfer Coefficient)+Fluid Temperature. Here is an example- 460.0001 = 100/(8*10.18)*(12.601905^2-4*4.266748^2)+(100*12.601905)/(2*1.834786)+11.

How to calculate Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid?

With Internal Heat Generation (q_G), Thermal Conductivity (k), Wall Thickness (b), Thickness (x), Convection Heat Transfer Coefficient (h_c) & Fluid Temperature (T_∞) we can find Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid using the formula - Temperature = Internal Heat Generation/(8*Thermal Conductivity)*(Wall Thickness^2-4*Thickness^2)+(Internal Heat Generation*Wall Thickness)/(2*Convection Heat Transfer Coefficient)+Fluid Temperature.

What are the other ways to Calculate Temperature?

Here are the different ways to Calculate Temperature-

Temperature=Internal Heat Generation/(4*Thermal Conductivity)*(Outer Radius of Cylinder^2-Radius^2)+Outer Surface Temperature+ln(Radius/Outer Radius of Cylinder)/ln(Outer Radius of Cylinder/Inner Radius of Cylinder)*(Internal Heat Generation/(4*Thermal Conductivity)*(Outer Radius of Cylinder^2-Inner Radius of Cylinder^2)+(Outer Surface Temperature-Inner Surface Temperature))
Temperature=Surface Temperature of Wall+Internal Heat Generation/(6*Thermal Conductivity)*(Outer Radius of Sphere^2-Radius^2)+(Internal Heat Generation*Inner Radius of Sphere^3)/(3*Thermal Conductivity)*(1/Outer Radius of Sphere-1/Radius)

Can the Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid be negative?

Yes, the Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid, measured in Temperature can be negative.

Which unit is used to measure Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid?

Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid can be measured.

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Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid Formula

​GoTemperature Inside Hollow Cylinder at given Radius between Inner and Outer Radius Formula

​GoTemperature Inside Hollow Sphere at given Radius between Inner and Outer Radius Formula

Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid Example

Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid Solution

Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid Formula Elements

Other Formulas to find Temperature

Other formulas in Steady State Heat Conduction with Heat Generation category

How to Evaluate Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid?

FAQs on Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid

Variable Name

GoTemperature Inside Hollow Cylinder at given Radius between Inner and Outer Radius Formula

GoTemperature Inside Hollow Sphere at given Radius between Inner and Outer Radius Formula