In this post I want to share what is conduction and its problem example.

In contrast to general molecular motion or mixing, conduction describes the rate of heat transfer through materials as a function of vibrations and interactions between nearby molecules. Conduction __always applies to solids__ and rarely to fluids.

There are several fundamental equations for steady heat conduction through some basic solid shapes, neglecting conditions of border:

**Conduction in Unidimensional Perpendicular Heat Flow Through Flat Walls**

For unidimensional perpendicular heat flow through flat walls, as in heat flow through square or very large cylindrical tank walls, the equation is:

Where:

Q = heat transfer (Btu/hr)

k = thermal conductivity (Btu/h∙ft∙^{o}F)

A = area (ft^{2})

∆T = temperature difference (^{o}F)

wt = wall thickness (in)

**Conduction in Cylindrical Geometry**

For heat transfer in cylindrical geometry where the heat transfer is normal to the axis, as in heat flow through a cylindrical vessel or pipe wall:Where:

L = length of heat transfer surface (ft)

D_{o} = outside diameter of pipe or cylinder (ft)

Di = inside diameter of pipe or cylinder (ft)

d_{o }= outside diameter of pipe or cylinder or fin (ft)

d_{i} = inside diameter of pipe or cylinder or fin (ft)

**Conduction in Spherical Vessel**

For radial heat flow through a spherical vessel:

**Example of Conduction Problem**

This example shows how to estimate heat loss or heat rate in spherical pipe wall.

Estimate the loss per linear foot through a one inch layer of block insulation covering an 6 in schedule 40 steam header. Assume:

T_{i} = 260^{o}F

T_{o} = 50^{o}F

k = 0.05 Btu/(h∙ft^{2}∙^{o}F/ft)

__Solution__

Use equation below to estimate heat transfer:

Q = __250.08 Btu/hr per linear ft__

That’s all about what is conduction and its problem example. I hope you find this simple post useful.

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