EIT Chemical Review, Second Edition

Chapter 7: Heat Transfer

SI units are noted in [ ]

Three modes of heat transfer are conduction, convection, and radiation.

Conduction

It is a mode of heat transfer across a medium caused by temperature difference. A steady state conduction of heat is given by Fourier's law:

(7-1)

where

q k

=

heat transferred by conduction in the x direction, Btu/h[W],

k

=

thermal conductivity of material, Btu.ft/h.ft 2. F[W/m.K],

A

=

area perpendicular to the direction of heat flow, ft 2[m 2]

(dT/dx)

=

temperature gradient in the x direction, F/ft[K/m]

Application of Fourier's law to simple geometries

  1. Flat single plate

(7-2)

where X is the plate thickness, ft[m], and R k = X/kA is the thermal resistance, h. F/Btu[K/W].

  1. Composite Flat Walls

The rate of heat transfer through a series of flat plates forming a composite wall is given by:

(7-3)

where T 0 > T 1 > ...>T n, R kn = resistance of nth plate = X n/(k nA n), and R kt = total resistance = (R k1 + R k2 +...+ R kn)

  1. Cylindrical Pipe

(7-4)

where L = length of pipe, ft[m]; T i = temperature at the inside wall, F[K];

T o = temperature at the outside wall, oF[K]; r o, r i = outside, inside radii of pipe, both in the same unit, R k = ln(r o/r i)/(2 ?kL),h. F/Btu[K/W]. The heat transfer through...

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