Temperature Inside Solid Cylinder at given Radius 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%
✖Radius of Cylinder is a straight line from the center to the Cylinder's base to surface of the Cylinder.ⓘ Radius of Cylinder [R_cy]			+10% -10%
✖Radius is the radial distance to the point or plane up to which the value of the desired variable will be calculated.ⓘ Radius [r]			+10% -10%
✖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.ⓘ Surface Temperature of wall [T_w]			+10% -10%

✖Temperature Solid Cylinder is the degree or intensity of heat present in a substance or object.ⓘ Temperature Inside Solid Cylinder at given Radius [t]

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Temperature Inside Solid Cylinder at given Radius

Formula

`"t" = "q"_{"G"}/(4*"k")*("R"_{"cy"}^2-"r"^2)+"T"_{"w"}`

Example

`"460.7072K"="100W/m³"/(4*"10.18W/(m*K)")*(("9.61428m")^2-("4m")^2)+"273K"`

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Download Steady State Heat Conduction with Heat Generation Formulas PDF

Temperature Inside Solid Cylinder at given Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Surface Temperature of wall
t = q_G/(4*k)*(R_cy^2-r^2)+T_w
This formula uses 6 Variables

Variables Used

Temperature Solid Cylinder - (Measured in Kelvin) - Temperature Solid Cylinder 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.
Radius of Cylinder - (Measured in Meter) - Radius of Cylinder is a straight line from the center to the Cylinder's base to surface of the Cylinder.
Radius - (Measured in Meter) - Radius is the radial distance to the point or plane up to which the value of the desired variable will be calculated.
Surface Temperature of wall - (Measured in Kelvin) - 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.

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
Radius of Cylinder: 9.61428 Meter --> 9.61428 Meter No Conversion Required
Radius: 4 Meter --> 4 Meter No Conversion Required
Surface Temperature of wall: 273 Kelvin --> 273 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = q_G/(4*k)*(R_cy^2-r^2)+T_w --> 100/(4*10.18)*(9.61428^2-4^2)+273

Evaluating ... ...

t = 460.7072198389

STEP 3: Convert Result to Output's Unit

460.7072198389 Kelvin --> No Conversion Required

FINAL ANSWER

460.7072198389 ≈ 460.7072 Kelvin <-- Temperature Solid Cylinder

(Calculation completed in 00.011 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Steady State Heat Conduction with Heat Generation » Temperature Inside Solid Cylinder at given Radius

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Created by Ravi Khiyani

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

Ravi Khiyani has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 14 Steady State Heat Conduction with Heat Generation Calculators

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

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

Go 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)

Temperature Inside Solid Cylinder at given Radius Immersed in Fluid

Go Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Fluid Temperature+(Internal Heat Generation*Radius of Cylinder)/(2*Convection Heat Transfer Coefficient)

Temperature at given Thickness x Inside Plane Wall Surrounded by Fluid

Go 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

Maximum Temperature Inside Solid Cylinder Immersed in Fluid

Go 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)

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

Go 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

Temperature Inside Plane Wall at given Thickness x with Symmetrical Boundary Conditions

Go Temperature 1 = -(Internal Heat Generation*Wall Thickness^2)/(2*Thermal Conductivity)*(Thickness/Wall Thickness-(Thickness/Wall Thickness)^2)+Surface Temperature

Temperature Inside Solid Cylinder at given Radius

Go Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Surface Temperature of wall

Temperature Inside Solid Sphere at given Radius

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

Surface Temperature of Solid Cylinder Immersed in Fluid

Go Surface Temperature of wall = Fluid Temperature+(Internal Heat Generation*Radius of Cylinder)/(2*Convection Heat Transfer Coefficient)

Maximum Temperature in Solid Cylinder

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

Maximum Temperature in Solid Sphere

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

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

Go Location of Maximum Temperature = Wall Thickness/2

Temperature Inside Solid Cylinder at given Radius Formula

Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Surface Temperature of wall
t = q_G/(4*k)*(R_cy^2-r^2)+T_w

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 Inside Solid Cylinder at given Radius?

Temperature Inside Solid Cylinder at given Radius calculator uses Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Surface Temperature of wall to calculate the Temperature Solid Cylinder, The temperature inside solid cylinder at given radius formula gives the value of temperature at desired radius when there is an internal heat generation source inside the cylinder. Temperature Solid Cylinder is denoted by t symbol.

How to calculate Temperature Inside Solid Cylinder at given Radius using this online calculator? To use this online calculator for Temperature Inside Solid Cylinder at given Radius, enter Internal Heat Generation (q_G), Thermal Conductivity (k), Radius of Cylinder (R_cy), Radius (r) & Surface Temperature of wall (T_w) and hit the calculate button. Here is how the Temperature Inside Solid Cylinder at given Radius calculation can be explained with given input values -> 460.7072 = 100/(4*10.18)*(9.61428^2-4^2)+273.

FAQ

What is Temperature Inside Solid Cylinder at given Radius?

The temperature inside solid cylinder at given radius formula gives the value of temperature at desired radius when there is an internal heat generation source inside the cylinder and is represented as t = q_G/(4*k)*(R_cy^2-r^2)+T_w or Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Surface Temperature of wall. 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, Radius of Cylinder is a straight line from the center to the Cylinder's base to surface of the Cylinder, Radius is the radial distance to the point or plane up to which the value of the desired variable will be calculated & 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.

How to calculate Temperature Inside Solid Cylinder at given Radius?

The temperature inside solid cylinder at given radius formula gives the value of temperature at desired radius when there is an internal heat generation source inside the cylinder is calculated using Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Surface Temperature of wall. To calculate Temperature Inside Solid Cylinder at given Radius, you need Internal Heat Generation (q_G), Thermal Conductivity (k), Radius of Cylinder (R_cy), Radius (r) & Surface Temperature of wall (T_w). With our tool, you need to enter the respective value for Internal Heat Generation, Thermal Conductivity, Radius of Cylinder, Radius & Surface Temperature of wall 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 Solid Cylinder?

In this formula, Temperature Solid Cylinder uses Internal Heat Generation, Thermal Conductivity, Radius of Cylinder, Radius & Surface Temperature of wall. We can use 1 other way(s) to calculate the same, which is/are as follows -

Temperature Solid Cylinder = Internal Heat Generation/(4*Thermal Conductivity)*(Radius of Cylinder^2-Radius^2)+Fluid Temperature+(Internal Heat Generation*Radius of Cylinder)/(2*Convection Heat Transfer Coefficient)

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