Temperature Inside Solid Cylinder at given Radius Immersed in 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%
✖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%
✖Fluid Temperature is the temperature of the fluid surrounding the object.ⓘ Fluid Temperature [T_∞]			+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%

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

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Temperature Inside Solid Cylinder at given Radius Immersed in Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
t = q_G/(4*k)*(R_cy^2-r^2)+T_∞+(q_G*R_cy)/(2*h_c)
This formula uses 7 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.
Fluid Temperature - (Measured in Kelvin) - Fluid Temperature is the temperature of the fluid surrounding the 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.

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
Fluid Temperature: 11 Kelvin --> 11 Kelvin 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = q_G/(4*k)*(R_cy^2-r^2)+T_∞+(q_G*R_cy)/(2*h_c) --> 100/(4*10.18)*(9.61428^2-4^2)+11+(100*9.61428)/(2*1.834786)

Evaluating ... ...

t = 460.707256900443

STEP 3: Convert Result to Output's Unit

460.707256900443 Kelvin --> No Conversion Required

FINAL ANSWER

460.707256900443 ≈ 460.7073 Kelvin <-- Temperature Solid Cylinder

(Calculation completed in 00.007 seconds)

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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 Inside Solid Cylinder at given Radius Immersed in 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 Inside Solid Cylinder at given Radius Immersed in Fluid?

Temperature Inside Solid Cylinder at given Radius Immersed in Fluid calculator uses 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) to calculate the Temperature Solid Cylinder, Temperature inside solid cylinder at given radius immersed in fluid formula gives the value of temperature at desired radius when the cylinder with an internal heat generation source is immersed in a fluid. Temperature Solid Cylinder is denoted by t symbol.

How to calculate Temperature Inside Solid Cylinder at given Radius Immersed in Fluid using this online calculator? To use this online calculator for Temperature Inside Solid Cylinder at given Radius Immersed in Fluid, enter Internal Heat Generation (q_G), Thermal Conductivity (k), Radius of Cylinder (R_cy), Radius (r), Fluid Temperature (T_∞) & Convection Heat Transfer Coefficient (h_c) and hit the calculate button. Here is how the Temperature Inside Solid Cylinder at given Radius Immersed in Fluid calculation can be explained with given input values -> 460.7073 = 100/(4*10.18)*(9.61428^2-4^2)+11+(100*9.61428)/(2*1.834786).

FAQ

What is Temperature Inside Solid Cylinder at given Radius Immersed in Fluid?

Temperature inside solid cylinder at given radius immersed in fluid formula gives the value of temperature at desired radius when the cylinder with an internal heat generation source is immersed in a fluid and is represented as t = q_G/(4*k)*(R_cy^2-r^2)+T_∞+(q_G*R_cy)/(2*h_c) or 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). 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, Fluid Temperature is the temperature of the fluid surrounding the 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.

How to calculate Temperature Inside Solid Cylinder at given Radius Immersed in Fluid?

Temperature inside solid cylinder at given radius immersed in fluid formula gives the value of temperature at desired radius when the cylinder with an internal heat generation source is immersed in a fluid is calculated using 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). To calculate Temperature Inside Solid Cylinder at given Radius Immersed in Fluid, you need Internal Heat Generation (q_G), Thermal Conductivity (k), Radius of Cylinder (R_cy), Radius (r), Fluid Temperature (T_∞) & Convection Heat Transfer Coefficient (h_c). With our tool, you need to enter the respective value for Internal Heat Generation, Thermal Conductivity, Radius of Cylinder, Radius, Fluid Temperature & Convection Heat Transfer Coefficient 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, Fluid Temperature & Convection Heat Transfer Coefficient. 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)+Surface Temperature of Wall

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