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)/(4*Convection Heat Transfer Coefficient*(2+(Convection Heat Transfer Coefficient*Radius of Cylinder)/Thermal Conductivity))
Tmax = T+(qG*Rcy)/(4*hc*(2+(hc*Rcy)/k))
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
Tmax = T+(qG*Rcy)/(4*hc*(2+(hc*Rcy)/k)) --> 11+(100*9.61428)/(4*1.834786*(2+(1.834786*9.61428)/10.18))
Evaluating ... ...
Tmax = 46.0940803376935
STEP 3: Convert Result to Output's Unit
46.0940803376935 Kelvin --> No Conversion Required
FINAL ANSWER
46.0940803376935 46.09408 Kelvin <-- Maximum Temperature
(Calculation completed in 00.004 seconds)

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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)/(4*Convection Heat Transfer Coefficient*(2+(Convection Heat Transfer Coefficient*Radius of Cylinder)/Thermal Conductivity))
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

Maximum Temperature Inside Solid Cylinder Immersed in Fluid Formula

Maximum Temperature = Fluid Temperature+(Internal Heat Generation*Radius of Cylinder)/(4*Convection Heat Transfer Coefficient*(2+(Convection Heat Transfer Coefficient*Radius of Cylinder)/Thermal Conductivity))
Tmax = T+(qG*Rcy)/(4*hc*(2+(hc*Rcy)/k))

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)/(4*Convection Heat Transfer Coefficient*(2+(Convection Heat Transfer Coefficient*Radius of Cylinder)/Thermal Conductivity)) 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 Tmax 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 (qG), Radius of Cylinder (Rcy), Convection Heat Transfer Coefficient (hc) & 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 -> 37.79257 = 11+(100*9.61428)/(4*1.834786*(2+(1.834786*9.61428)/10.18)).

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 Tmax = T+(qG*Rcy)/(4*hc*(2+(hc*Rcy)/k)) or Maximum Temperature = Fluid Temperature+(Internal Heat Generation*Radius of Cylinder)/(4*Convection Heat Transfer Coefficient*(2+(Convection Heat Transfer Coefficient*Radius of Cylinder)/Thermal Conductivity)). 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)/(4*Convection Heat Transfer Coefficient*(2+(Convection Heat Transfer Coefficient*Radius of Cylinder)/Thermal Conductivity)). To calculate Maximum Temperature Inside Solid Cylinder Immersed in Fluid, you need Fluid Temperature (T), Internal Heat Generation (qG), Radius of Cylinder (Rcy), Convection Heat Transfer Coefficient (hc) & 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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