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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*Cylinder Radius)/(4*Convection heat transfer coefficient))*(2+(Convection heat transfer coefficient*Cylinder Radius/Thermal Conductivity)))
Tmax = T∞+(((qG*R)/(4*h))*(2+(h*R/k)))
This formula uses 5 Variables
Variables Used
Fluid temperature - Fluid temperature is the temperature of the fluid surrounding the object. (Measured in Kelvin)
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. (Measured in Watt Per Cubic Metre)
Cylinder Radius - The Cylinder Radius is the radius of its base. (Measured in Centimeter)
Convection heat transfer coefficient - Convection heat transfer coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit kellvin. (Measured in Watt per Meter² per K)
Thermal Conductivity - Thermal Conductivity is the rate at which heat passes through a specified material, expressed as the amount of heat that flows per unit time through a unit area with a temperature gradient of one degree per unit distance. (Measured in Watt per Meter per K)
STEP 1: Convert Input(s) to Base Unit
Fluid temperature: 350 Kelvin --> 350 Kelvin No Conversion Required
Internal heat generation: 100 Watt Per Cubic Metre --> 100 Watt Per Cubic Metre No Conversion Required
Cylinder Radius: 10 Centimeter --> 0.1 Meter (Check conversion here)
Convection heat transfer coefficient: 1 Watt per Meter² per K --> 1 Watt per Meter² per K No Conversion Required
Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tmax = T∞+(((qG*R)/(4*h))*(2+(h*R/k))) --> 350+(((100*0.1)/(4*1))*(2+(1*0.1/10)))
Evaluating ... ...
Tmax = 355.025
STEP 3: Convert Result to Output's Unit
355.025 Kelvin --> No Conversion Required
FINAL ANSWER
355.025 Kelvin <-- Maximum temperature
(Calculation completed in 00.017 seconds)

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Maximum temperature inside solid cylinder immersed in fluid
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Maximum temperature inside solid cylinder immersed in fluid Formula

maximum_temperature = Fluid temperature+(((Internal heat generation*Cylinder Radius)/(4*Convection heat transfer coefficient))*(2+(Convection heat transfer coefficient*Cylinder Radius/Thermal Conductivity)))
Tmax = T∞+(((qG*R)/(4*h))*(2+(h*R/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*Cylinder Radius)/(4*Convection heat transfer coefficient))*(2+(Convection heat transfer coefficient*Cylinder Radius/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), Cylinder Radius (R), Convection heat transfer coefficient (h) & 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 -> 355.025 = 350+(((100*0.1)/(4*1))*(2+(1*0.1/10))).

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*R)/(4*h))*(2+(h*R/k))) or maximum_temperature = Fluid temperature+(((Internal heat generation*Cylinder Radius)/(4*Convection heat transfer coefficient))*(2+(Convection heat transfer coefficient*Cylinder Radius/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, The Cylinder Radius is the radius of its base, Convection heat transfer coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit kellvin & Thermal Conductivity is the rate at which heat passes through a specified material, expressed as the amount of heat that 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*Cylinder Radius)/(4*Convection heat transfer coefficient))*(2+(Convection heat transfer coefficient*Cylinder Radius/Thermal Conductivity))). To calculate Maximum temperature inside solid cylinder immersed in fluid, you need Fluid temperature (T∞), Internal heat generation (qG), Cylinder Radius (R), Convection heat transfer coefficient (h) & Thermal Conductivity (k). With our tool, you need to enter the respective value for Fluid temperature, Internal heat generation, Cylinder Radius, 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, Cylinder Radius, Convection heat transfer coefficient & Thermal Conductivity. We can use 10 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))
  • location_of_maximum_temperature = Wall thickness/2
  • maximum_temperature = Surface temperature+((Internal heat generation*(Cylinder Radius)^2)/(4*Thermal Conductivity))
  • maximum_temperature = Surface temperature+((Internal heat generation*(Radius of Sphere)^2)/(6*Thermal Conductivity))
  • temperature = (Internal heat generation/(4*Thermal Conductivity))*((Cylinder Radius)^2-(Given radius)^2)+Surface temperature
  • temperature = (Internal heat generation/(4*Thermal Conductivity))*((Cylinder Radius)^2-(Radius)^2)+Fluid temperature+(Internal heat generation*Cylinder Radius/(2*Convection heat transfer coefficient))
  • temperature = -(((Internal heat generation*(Wall thickness)^2)/(2*Thermal Conductivity))*((Thickness/Wall thickness)-(Thickness/Wall thickness)^2))+Surface temperature
  • 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 = (Internal heat generation*(Wall thickness)^2/(8*Thermal Conductivity))+(Internal heat generation*Wall thickness/(2*Convection heat transfer coefficient))+Fluid temperature
  • maximum_temperature = Fluid temperature+(((Internal heat generation*Cylinder Radius)/(4*Convection heat transfer coefficient))*(2+(Convection heat transfer coefficient*Cylinder Radius/Thermal Conductivity)))
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