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

✖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.ⓘ Internal Heat Generation [q_G]			+10% -10%
✖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.ⓘ Thermal Conductivity [k]			+10% -10%
✖Wall Thickness is simply the width of the wall that we are taking under consideration.ⓘ Wall Thickness [b]			+10% -10%
✖Thickness is the distance from one end to the desired end of the body or object.ⓘ Thickness [x]			+10% -10%
✖Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.ⓘ Convection Heat Transfer Coefficient [h_c]			+10% -10%
✖Fluid Temperature is the temperature of the fluid surrounding the object.ⓘ Fluid Temperature [T_∞]			+10% -10%

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid [T]

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

STEP 0: Pre-Calculation Summary

Formula Used

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
T = q_G/(8*k)*(b^2-4*x^2)+(q_G*b)/(2*h_c)+T_∞
This formula uses 7 Variables

Variables Used

Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Internal Heat Generation - (Measured in Watt Per Cubic Meter) - 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.
Thermal Conductivity - (Measured in Watt per Meter per K) - 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.
Wall Thickness - (Measured in Meter) - Wall Thickness is simply the width of the wall that we are taking under consideration.
Thickness - (Measured in Meter) - Thickness is the distance from one end to the desired end of the body or object.
Convection Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.
Fluid Temperature - (Measured in Kelvin) - Fluid Temperature is the temperature of the fluid surrounding the object.

STEP 1: Convert Input(s) to Base Unit

Internal Heat Generation: 100 Watt Per Cubic Meter --> 100 Watt Per Cubic Meter No Conversion Required
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Wall Thickness: 12.601905 Meter --> 12.601905 Meter No Conversion Required
Thickness: 4.266748 Meter --> 4.266748 Meter No Conversion Required
Convection Heat Transfer Coefficient: 1.834786 Watt per Square Meter per Kelvin --> 1.834786 Watt per Square Meter per Kelvin No Conversion Required
Fluid Temperature: 11 Kelvin --> 11 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = q_G/(8*k)*(b^2-4*x^2)+(q_G*b)/(2*h_c)+T_∞ --> 100/(8*10.18)*(12.601905^2-4*4.266748^2)+(100*12.601905)/(2*1.834786)+11

Evaluating ... ...

T = 460.00001862818

STEP 3: Convert Result to Output's Unit

460.00001862818 Kelvin --> No Conversion Required

FINAL ANSWER

460.00001862818 ≈ 460 Kelvin <-- Temperature

(Calculation completed in 00.020 seconds)

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Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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National Institute Of Technology (NIT), Hamirpur

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< Steady State Heat Conduction with Heat Generation Calculators

Maximum Temperature in Solid Cylinder

LaTeX Go Maximum Temperature = Surface Temperature of Wall+(Internal Heat Generation*Radius of Cylinder^2)/(4*Thermal Conductivity)

Maximum Temperature in Solid Sphere

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

Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions

LaTeX Go Maximum Temperature = Surface Temperature+(Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity)

Location of Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions

LaTeX Go Location of Maximum Temperature = Wall Thickness/2

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

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What is steady state conduction?

Steady-state conduction is the form of conduction that happens when the temperature difference(s) driving the conduction are constant.

What is 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.

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

Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid calculator 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 calculate 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 calculate Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid using this online calculator? To use this online calculator 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. Here is how the Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid calculation can be explained with given input values -> 460.0001 = 100/(8*10.18)*(12.601905^2-4*4.266748^2)+(100*12.601905)/(2*1.834786)+11.

FAQ

What is Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid?

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 and is represented as T = q_G/(8*k)*(b^2-4*x^2)+(q_G*b)/(2*h_c)+T_∞ or 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. 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, 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, Wall Thickness is simply the width of the wall that we are taking under consideration, Thickness is the distance from one end to the desired end of the body or object, Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature & Fluid Temperature is the temperature of the fluid surrounding the object.

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

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 is calculated using 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 calculate Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid, you need Internal Heat Generation (q_G), Thermal Conductivity (k), Wall Thickness (b), Thickness (x), Convection Heat Transfer Coefficient (h_c) & Fluid Temperature (T_∞). With our tool, you need to enter the respective value for Internal Heat Generation, Thermal Conductivity, Wall Thickness, Thickness, Convection Heat Transfer Coefficient & Fluid Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Temperature?

In this formula, Temperature uses Internal Heat Generation, Thermal Conductivity, Wall Thickness, Thickness, Convection Heat Transfer Coefficient & Fluid Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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