Radial Heat Flowing through Cylinder Calculator

✖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%
✖Temperature Difference is the measure of the hotness or the coldness of an object.ⓘ Temperature Difference [ΔT]			+10% -10%
✖Length of Cylinder is the vertical height of the Cylinder.ⓘ Length of Cylinder [l]			+10% -10%
✖The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.ⓘ Outer Radius of Cylinder [r_outer]			+10% -10%
✖The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.ⓘ Inner Radius of Cylinder [r_inner]			+10% -10%

✖Heat is the form of energy that is transferred between systems or objects with different temperatures (flowing from the high-temperature system to the low-temperature system).ⓘ Radial Heat Flowing through Cylinder [Q]

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Formula

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Radial Heat Flowing through Cylinder

Formula

`"Q" = "k"*2*pi*"ΔT"*"l"/(ln("r"_{"outer"}/"r"_{"inner"}))`

Example

`"2731.399J"="10.18W/(m*K)"*2*pi*"5.25K"*"6.21m"/(ln("7.51m"/"3.5m"))`

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Download Basics of Modes of Heat Transfer Formulas PDF

Radial Heat Flowing through Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat = Thermal Conductivity*2*pi*Temperature Difference*Length of Cylinder/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))
Q = k*2*pi*ΔT*l/(ln(r_outer/r_inner))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Heat - (Measured in Joule) - Heat is the form of energy that is transferred between systems or objects with different temperatures (flowing from the high-temperature system to the low-temperature system).
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.
Temperature Difference - (Measured in Kelvin) - Temperature Difference is the measure of the hotness or the coldness of an object.
Length of Cylinder - (Measured in Meter) - Length of Cylinder is the vertical height of the Cylinder.
Outer Radius of Cylinder - (Measured in Meter) - The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.
Inner Radius of Cylinder - (Measured in Meter) - The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.

STEP 1: Convert Input(s) to Base Unit

Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Temperature Difference: 5.25 Kelvin --> 5.25 Kelvin No Conversion Required
Length of Cylinder: 6.21 Meter --> 6.21 Meter No Conversion Required
Outer Radius of Cylinder: 7.51 Meter --> 7.51 Meter No Conversion Required
Inner Radius of Cylinder: 3.5 Meter --> 3.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = k*2*pi*ΔT*l/(ln(r_outer/r_inner)) --> 10.18*2*pi*5.25*6.21/(ln(7.51/3.5))

Evaluating ... ...

Q = 2731.39904320942

STEP 3: Convert Result to Output's Unit

2731.39904320942 Joule --> No Conversion Required

FINAL ANSWER

2731.39904320942 ≈ 2731.399 Joule <-- Heat

(Calculation completed in 00.007 seconds)

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Home » Engineering » Chemical Engineering » Heat Transfer » Modes of Heat Transfer » Basics of Modes of Heat Transfer » Radial Heat Flowing through Cylinder

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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< 13 Basics of Modes of Heat Transfer Calculators

Thermal Resistance of Spherical Wall

Go Thermal Resistance of Sphere Without Convection = (Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)

Radiation Thermal Resistance

Go Thermal Resistance = 1/(Emissivity*[Stefan-BoltZ]*Base Area*(Temperature of Surface 1+Temperature of Surface 2)*(((Temperature of Surface 1)^2)+((Temperature of Surface 2)^2)))

Radial Heat Flowing through Cylinder

Go Heat = Thermal Conductivity*2*pi*Temperature Difference*Length of Cylinder/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))

Heat Transfer through Plane Wall or Surface

Go Heat Flow Rate = -Thermal Conductivity*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface

Radiative Heat Transfer

Go Heat = [Stefan-BoltZ]*Body Surface Area*Geometric View Factor*(Temperature of Surface 1^4-Temperature of Surface 2^4)

Rate of Convective Heat Transfer

Go Heat Flow Rate = Heat Transfer Coefficient*Exposed Surface Area*(Surface Temperature-Ambient Air Temperature)

Total Emissive Power of Radiating Body

Go Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]

Thermal Diffusivity

Go Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity)

Radiosity

Go Radiosity = Energy Leaving Surface/(Body Surface Area*Time in seconds)

Thermal Resistance in Convection Heat Transfer

Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)

Overall Heat Transfer based on Thermal Resistance

Go Overall Heat Transfer = Overall Temperature Difference/Total Thermal Resistance

Temperature Difference using Thermal Analogy to Ohm's Law

Go Temperature Difference = Heat Flow Rate*Thermal Resistance

Ohm's Law

Go Voltage = Electric Current*Resistance

Radial Heat Flowing through Cylinder Formula

Heat = Thermal Conductivity*2*pi*Temperature Difference*Length of Cylinder/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))
Q = k*2*pi*ΔT*l/(ln(r_outer/r_inner))

What is radial heat flow?

Radial heat flow is heat flowing in the radial direction, normal to the surface of the body. It either flows from the centre or to the centre of the body.

How to Calculate Radial Heat Flowing through Cylinder?

Radial Heat Flowing through Cylinder calculator uses Heat = Thermal Conductivity*2*pi*Temperature Difference*Length of Cylinder/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder)) to calculate the Heat, Radial Heat Flowing through Cylinder gives the heat flow rate in the radial direction in a cylinder. Heat is denoted by Q symbol.

How to calculate Radial Heat Flowing through Cylinder using this online calculator? To use this online calculator for Radial Heat Flowing through Cylinder, enter Thermal Conductivity (k), Temperature Difference (ΔT), Length of Cylinder (l), Outer Radius of Cylinder (r_outer) & Inner Radius of Cylinder (r_inner) and hit the calculate button. Here is how the Radial Heat Flowing through Cylinder calculation can be explained with given input values -> 2731.399 = 10.18*2*pi*5.25*6.21/(ln(7.51/3.5)).

FAQ

What is Radial Heat Flowing through Cylinder?

Radial Heat Flowing through Cylinder gives the heat flow rate in the radial direction in a cylinder and is represented as Q = k*2*pi*ΔT*l/(ln(r_outer/r_inner)) or Heat = Thermal Conductivity*2*pi*Temperature Difference*Length of Cylinder/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder)). 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, Temperature Difference is the measure of the hotness or the coldness of an object, Length of Cylinder is the vertical height of the Cylinder, The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder & The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.

How to calculate Radial Heat Flowing through Cylinder?

Radial Heat Flowing through Cylinder gives the heat flow rate in the radial direction in a cylinder is calculated using Heat = Thermal Conductivity*2*pi*Temperature Difference*Length of Cylinder/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder)). To calculate Radial Heat Flowing through Cylinder, you need Thermal Conductivity (k), Temperature Difference (ΔT), Length of Cylinder (l), Outer Radius of Cylinder (r_outer) & Inner Radius of Cylinder (r_inner). With our tool, you need to enter the respective value for Thermal Conductivity, Temperature Difference, Length of Cylinder, Outer Radius of Cylinder & Inner Radius of Cylinder 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 Heat?

In this formula, Heat uses Thermal Conductivity, Temperature Difference, Length of Cylinder, Outer Radius of Cylinder & Inner Radius of Cylinder. We can use 1 other way(s) to calculate the same, which is/are as follows -

Heat = [Stefan-BoltZ]*Body Surface Area*Geometric View Factor*(Temperature of Surface 1^4-Temperature of Surface 2^4)

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