Maximum Temperature Inside Solid Cylinder Immersed in Fluid Calculator

✖Fluid Temperature is the temperature of the fluid surrounding the object.ⓘ Fluid Temperature [T_∞]			+10% -10%
✖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%
✖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%
✖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%
✖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%

✖Maximum Temperature is defined as the highest possible or permissible value of temperature.ⓘ Maximum Temperature Inside Solid Cylinder Immersed in Fluid [T_max]

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Maximum Temperature Inside Solid Cylinder Immersed in Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T_max = T_∞+(q_G*R_cy*(2+(h_c*R_cy)/k))/(4*h_c)
This formula uses 6 Variables

Variables Used

Maximum Temperature - (Measured in Kelvin) - Maximum Temperature is defined as the highest possible or permissible value of temperature.
Fluid Temperature - (Measured in Kelvin) - Fluid Temperature is the temperature of the fluid surrounding the 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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Fluid Temperature: 11 Kelvin --> 11 Kelvin No Conversion Required
Internal Heat Generation: 100 Watt Per Cubic Meter --> 100 Watt Per Cubic Meter No Conversion Required
Radius of Cylinder: 9.61428 Meter --> 9.61428 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
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

T_max = 499.999987745236

STEP 3: Convert Result to Output's Unit

499.999987745236 Kelvin --> No Conversion Required

FINAL ANSWER

499.999987745236 ≈ 500 Kelvin <-- Maximum Temperature

(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 Inside Solid Cylinder Immersed in Fluid

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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 Inside Solid Cylinder Immersed in Fluid 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 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 Maximum Temperature Inside Solid Cylinder Immersed in Fluid?

Maximum Temperature Inside Solid Cylinder Immersed in Fluid calculator uses 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) to calculate the Maximum Temperature, The Maximum temperature inside solid cylinder immersed in fluid formula gives the maximum value of temperature that exists inside the cylinder which is having an internal heat generation source and is immersed in a fluid. Maximum Temperature is denoted by T_max symbol.

How to calculate Maximum Temperature Inside Solid Cylinder Immersed in Fluid using this online calculator? To use this online calculator for Maximum Temperature Inside Solid Cylinder Immersed in Fluid, enter Fluid Temperature (T_∞), Internal Heat Generation (q_G), Radius of Cylinder (R_cy), Convection Heat Transfer Coefficient (h_c) & Thermal Conductivity (k) and hit the calculate button. Here is how the Maximum Temperature Inside Solid Cylinder Immersed in Fluid calculation can be explained with given input values -> 500 = 11+(100*9.61428*(2+(1.834786*9.61428)/10.18))/(4*1.834786).

FAQ

What is Maximum Temperature Inside Solid Cylinder Immersed in Fluid?

The Maximum temperature inside solid cylinder immersed in fluid formula gives the maximum value of temperature that exists inside the cylinder which is having an internal heat generation source and is immersed in a fluid and is represented as T_max = T_∞+(q_G*R_cy*(2+(h_c*R_cy)/k))/(4*h_c) or 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). Fluid Temperature is the temperature of the fluid surrounding the object, 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, Radius of Cylinder is a straight line from the center to the Cylinder's base to surface of the Cylinder, Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature & 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.

How to calculate Maximum Temperature Inside Solid Cylinder Immersed in Fluid?

The Maximum temperature inside solid cylinder immersed in fluid formula gives the maximum value of temperature that exists inside the cylinder which is having an internal heat generation source and is immersed in a fluid is calculated using 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). To calculate Maximum Temperature Inside Solid Cylinder Immersed in Fluid, you need Fluid Temperature (T_∞), Internal Heat Generation (q_G), Radius of Cylinder (R_cy), Convection Heat Transfer Coefficient (h_c) & Thermal Conductivity (k). With our tool, you need to enter the respective value for Fluid Temperature, Internal Heat Generation, Radius of Cylinder, Convection Heat Transfer Coefficient & Thermal Conductivity 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 Maximum Temperature?

In this formula, Maximum Temperature uses Fluid Temperature, Internal Heat Generation, Radius of Cylinder, Convection Heat Transfer Coefficient & Thermal Conductivity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Maximum Temperature = Surface Temperature+(Internal Heat Generation*Wall Thickness^2)/(8*Thermal Conductivity)
Maximum Temperature = Surface Temperature of Wall+(Internal Heat Generation*Radius of Cylinder^2)/(4*Thermal Conductivity)
Maximum Temperature = Surface Temperature of Wall+(Internal Heat Generation*Radius of Sphere^2)/(6*Thermal Conductivity)

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