Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions 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%
✖Wall Thickness is simply the width of the wall that we are taking under consideration.ⓘ Wall Thickness [b]			+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%
✖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%

✖Maximum Temperature of Plain wall is defined as the highest possible or permissible value of temperature.ⓘ Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions [t_max]

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Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Temperature of Plain Wall = (Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity)+(Internal Heat Generation*Wall Thickness)/(2*Convection Heat Transfer Coefficient)+Fluid Temperature
t_max = (q_G*b^2)/(8*k)+(q_G*b)/(2*h_c)+T_∞
This formula uses 6 Variables

Variables Used

Maximum Temperature of Plain Wall - (Measured in Kelvin) - Maximum Temperature of Plain wall is defined as the highest possible or permissible value of temperature.
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.
Wall Thickness - (Measured in Meter) - Wall Thickness is simply the width of the wall that we are taking under consideration.
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.
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
Wall Thickness: 12.601905 Meter --> 12.601905 Meter No Conversion Required
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K 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_max = (q_G*b^2)/(8*k)+(q_G*b)/(2*h_c)+T_∞ --> (100*12.601905^2)/(8*10.18)+(100*12.601905)/(2*1.834786)+11

Evaluating ... ...

t_max = 549.416219490184

STEP 3: Convert Result to Output's Unit

549.416219490184 Kelvin --> No Conversion Required

FINAL ANSWER

549.416219490184 ≈ 549.4162 Kelvin <-- Maximum Temperature of Plain Wall

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Mechanical » Steady State Heat Conduction with Heat Generation » Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions

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Created by Ravi Khiyani

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

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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

Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions Formula

LaTeX Go

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 are symmetrical boundary conditions?

Symmetrical boundary conditions are the conditions about the plane, line, or point which tend to have thermal symmetry about them.

How to Calculate Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions?

Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions calculator uses Maximum Temperature of Plain Wall = (Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity)+(Internal Heat Generation*Wall Thickness)/(2*Convection Heat Transfer Coefficient)+Fluid Temperature to calculate the Maximum Temperature of Plain Wall, The Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions formula gives the value of the temperature at the midplane of the plane wall which is surrounded by the fluid having thermal symmetry around the wall. Maximum Temperature of Plain Wall is denoted by t_max symbol.

How to calculate Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions using this online calculator? To use this online calculator for Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions, enter Internal Heat Generation (q_G), Wall Thickness (b), Thermal Conductivity (k), Convection Heat Transfer Coefficient (h_c) & Fluid Temperature (T_∞) and hit the calculate button. Here is how the Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions calculation can be explained with given input values -> 549.4162 = (100*12.601905^2)/(8*10.18)+(100*12.601905)/(2*1.834786)+11.

FAQ

What is Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions?

The Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions formula gives the value of the temperature at the midplane of the plane wall which is surrounded by the fluid having thermal symmetry around the wall and is represented as t_max = (q_G*b^2)/(8*k)+(q_G*b)/(2*h_c)+T_∞ or Maximum Temperature of Plain Wall = (Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity)+(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, Wall Thickness is simply the width of the wall that we are taking under consideration, 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, 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 Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions?

The Maximum temperature in plane wall surrounded by fluid with symmetrical boundary conditions formula gives the value of the temperature at the midplane of the plane wall which is surrounded by the fluid having thermal symmetry around the wall is calculated using Maximum Temperature of Plain Wall = (Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity)+(Internal Heat Generation*Wall Thickness)/(2*Convection Heat Transfer Coefficient)+Fluid Temperature. To calculate Maximum Temperature in Plane Wall Surrounded by Fluid with Symmetrical Boundary Conditions, you need Internal Heat Generation (q_G), Wall Thickness (b), Thermal Conductivity (k), Convection Heat Transfer Coefficient (h_c) & Fluid Temperature (T_∞). With our tool, you need to enter the respective value for Internal Heat Generation, Wall Thickness, Thermal Conductivity, 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.

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