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CHAPTER 45
FURNACES
Carroll Cone
Toledo, Ohio
45.1 SCOPE AND INTENT 14 50
45.9 FLUID FLOW 1485
45.9.1 Preferred Velocities 1485
45.9.2 Centrifugal Fan
Characteristics 1486
45.9.3 Laminar and Turbulent
Flows
45.2 STANDARD CONDITIONS 14 50
45.2.1 Probable Errors 14 50
1487
45.3 FURNACE TYPES 14 50
45.4 FURNACE CONSTRUCTION 1453
45.10 BURNER AND CONTROL
EQUIPMENT 1488
45.10.1 Burner Types 1489
45.10.2 Burner Ports 1494
45.10.3 Combustion Control
Equipment 1494
45.10.4 Air Pollution Control 1496
45.5 FUELS AND COMBUSTION 1454
45.6 OXYGEN ENRICHMENT OF
COMBUSTION AIR
14 59
45.7 THERMAL PROPERTIES OF
MATERIALS 14 60
45.8 HEAT TRANSFER 14 62
45.8.1 Solid-State Radiation 14 64
45.8.2 Emissivity-Absorptivity 1465
45.8.3 Radiation Charts 14 65
45.8.4 View Factors for
Solid-State Radiation 1465
45.8.5 Gas Radiation 14 66
45.8.6 Evaluation of Mean
Emissivity-Absorptivity 1 47 1
45.8.7 Combined Radiation
Factors 14 72
45.8.8 Steady-State Conduction 1472
45.8.9 Non-Steady-State
Conduction
45.11 WASTE HEAT RECOVERY
SYSTEMS
1496
45 . 1 1 . 1 Regenerative Air
Preheating 1496
45. 1 1 .2 Recuperator Systems 1497
45 . 1 1 . 3 Recuperator
Combinations 1498
45.12 FURNACE COMPONENTS IN
COMPLEX THERMAL
PROCESSES
1499
45.13 FURNACE CAPACITY 1501
45.14 FURNACE TEMPERATURE
PROFILES
14 74
1501
45.8.10 Heat Transfer with
Negligible Load Thermal
Resistance 14 77
45.8. 1 1 Newman Method 14 77
45.8.12 Furnace Temperature
Profiles
45.15 REPRESENTATIVE HEATING
RATES
1501
45.16 SELECTING NUMBER OF
FURNACE MODULES 1502
14 79
45.8.13 Equivalent Furnace
Temperature Profiles 14 80
45.8.14 Convection Heat
Transfer
45.17 FURNACE ECONOMICS 1502
45.17.1 Operating Schedule 1503
45.17.2 Investment in
Fuel-Saving
Improvements 1503
14 81
45.8.15 Fluidized-Bed Heat
Transfer 14 83
45.8.16 Combined Heat-Transfer
Coefficients
14 83
Mechanical Engineers' Handbook, 2nd ed., Edited by Myer Kutz.
ISBN 0-471-13007-9 © 1998 John Wiley & Sons, Inc.
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45.1 SCOPE AND INTENT
This chapter has been prepared for the use of engineers with access to an electronic calculator and
to standard engineering reference books, but not necessarily to a computer terminal. The intent is to
provide information needed for the solution of furnace engineering problems in areas of design,
performance analysis, construction and operating cost estimates, and improvement programs.
In selecting charts and formulas for problem solutions, some allowance has been made for prob-
able error, where errors in calculations will be minor compared with errors in the assumptions on
which calculations are based. Conscientious engineers are inclined to carry calculations to a far greater
degree of accuracy than can be justified by probable errors in data assumed. Approximations have
accordingly been allowed to save time and effort without adding to probable margins for error. The
symbols and abbreviations used in this chapter are given in Table 45.1.
45.2 STANDARD CONDITIONS
Assuming that the user will be using English rather than metric units, calculations have been based
on pounds, feet, Btu's, and degrees Fahrenheit, with conversion to metric units provided in the
following text (see Table 45.2).
Assumed standard conditions include: ambient temperature for initial temperature of loads, for
heat losses from furnace walls or open cooling of furnace loads—70°F.
Condition of air entering system for combustion or convection cooling: temperature, 70°F; ab-
solute pressure, 14.7 psia; relative humidity, 60% at 70°F, for a water vapor content of about 1.4%
by volume.
45.2.1 Probable Errors
Conscientious furnace engineers are inclined to carry calculations to a far greater degree of accuracy
than can be justified by uncertainties in basic assumptions such as thermal properties of materials,
system temperatures and pressures, radiation view factors and convection coefficients. Calculation
procedures recommended in this chapter will, accordingly, include some approximations, identified
in the text, that will result in probable errors much smaller than those introduced by basic assump-
tions, where such approximations will expedite problem solutions.
45.3 FURNACE TYPES
Furnaces may be grouped into two general types:
1. As a source of energy to be used elsewhere, as in firing steam boilers to supply process
steam, or steam for electric power generation, or for space heating of buildings or open space
2. As a source of energy for industrial processes, other than for electric power
The primary concern of this chapter will be the design, operation, and economics of industrial
furnaces, which may be classified in several ways:
By function:
Heating for forming in solid state (rolling, forging)
Melting metals or glass
Heat treatment to improve physical properties
Preheating for high-temperature coating processes, galvanizing, vitreous enameling, other coatings
Smelting for reduction of metallic ores
Firing of ceramic materials
Incineration
By method of load handling:
Batch furnaces for cyclic heating, including forge furnaces arranged to heat one end of a bar or
billet inserted through a wall opening, side door, stationary-hearth-type car bottom designs
Continuous furnaces with loads pushed through or carried by a conveyor
Tilting-type furnace
To avoid the problem of door warpage or leakage in large batch-type furnaces, the furnace can
be a refractory-lined box with an associated firing system, mounted above a stationary hearth, and
arranged to be tilted around one edge of the hearth for loading and unloading by manual handling,
forklift trucks, or overhead crane manipulators.
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Table 45.1 Symbols and Abbreviations
A area in ft2
a absorptivity for radiation, as fraction of black body factor for receiver temperature:
ag combustion gases
aw furnace walls
as load surface
am combined emissivity-absorptivity factor for source and receiver
C specific heat in Btu/lb • °F or cal/g • °C
cfm cubic feet per minute
D diameter in ft or thermal diffusivity (k/dC)
d density in lb/ft3
e emissivity for radiation as fraction of black-body factor for source temperature, with
subscripts as for a above
F factor in equations as defined in text
fpm velocity in ft/min
G mass velocity in lb/ft2 • hr
g acceleration by gravity (32.16 ft/sec2)
H heat-transfer coefficient (Btu/hr • ft2 • °F)
Hr for radiation
Hc for convection
Ht for combined Hr + Hc
HHV higher heating value of fuel
h pressure head in units as defined
k thermal conductivity (Btu/hr • ft • °F)
L length in ft, as in effective beam length for radiation, decimal rather than feet and inches
LHV lower heating value of fuel
In logarithm to base e
MTD log mean temperature difference
N
a constant as defined in text
psi
pressure in lb/in2
psig, pressure above atmospheric
psia, absolute pressure
Pr
Prandtl number (jxC/A:)
Q
heat flux in Btu/hr
R
thermal resistance (r/k) or ratio of external to internal thermal resistance (k/rH)
Re
Reynolds number (DGI\L)
r
radius or depth of heat penetration in ft
T
temperature in °F, except for radiation calculations where °S = (°F + 460) II00
Tg, combustion gas temperature
jTw, furnace wall temperature
Ts, heated load surface
Tc, core or unheated surface of load
t
time in hr
IJL
viscosity in Ib/hr • ft
we
inches of water column as a measure of pressure
V
volume in ft3
v
velocity in ft/sec
W
weight in Ib
X
time factor for nonsteady heat transfer (tD/r2)
x
horizontal coordinate
y
vertical coordinate
z
coordinate perpendicular to plane xy
For handling heavy loads by overhead crane, without door problems, the furnace can be a portable
cover unit with integral firing and temperature control. Consider a cover-type furnace for annealing
steel strip coils in a controlled atmosphere. The load is a stack of coils with a common vertical axis,
surrounded by a protective inner cover and an external heating cover. To improve heat transfer parallel
to coil laminations, they are loaded with open coil separators between them, with heat transferred
from the inner cover to coil ends by a recirculating fan. To start the cooling cycle, the heating cover
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Table 45.2 Conversion of Metric to English Units
Length
1 m - 3.281 ft
1 cm - 0.394 in
1 m2 - 10.765 ft2
1 m3 - 35.32 ft3
1 kg = 2.205 Ib
1 g/cm3 - 62.43 lb/ft2
1 g/cm2 = 2.048 lb/ft2 - 0.0142 psi
1 kcal - 3.968 Btu
1 kwh - 3413 Btu
1 cal/g - 1.8 Btu/lb
1 kcal/m2 - 0.1123 Btu/ft3
1 W/cm2 - 3170 Btu/hr • ft2
1 cal 242 Btu
sec cm °C hr ft °F
1 cal 7373 Btu
sec cm2 °C hr ft2 °F
1 cal/sec • cm • °C 3.874 Btu/hr • ft • °F
C • g/cm3
Area
Volume
Weight
Density
Pressure
Heat
Heat content
Heat flux
Thermal conductivity
Heat transfer
Thermal diffusivity
C • lb/ft3
is removed by an overhead crane, while atmosphere circulation by the base fan continues. Cooling
may be enhanced by air-blast cooling of the inner cover surface.
For heating heavy loads of other types, such as weldments, castings, or forgings, car bottom
furnaces may be used with some associated door maintenance problems. The furnace hearth is a
movable car, to allow load handling by an overhead traveling crane. In one type of furnace, the door
is suspended from a lifting mechanism. To avoid interference with an overhead crane, and to achieve
some economy in construction, the door may be mounted on one end of the car and opened as the
car is withdrawn. This arrangement may impose some handicaps in access for loading and unloading.
Loads such as steel ingots can be heated in pit-type furnaces, preferably with units of load
separated to allow radiating heating from all sides except the bottom. Such a furnace would have a
cover displaced by a mechanical carriage and would have a compound metal and refractory recu-
perator arrangement. Loads are handled by overhead crane equipped with suitable gripping tongs.
Continuous-Type Furnaces
The simplest type of continuous furnace is the hearth-type pusher furnace. Pieces of rectangular cross
section are loaded side by side on a charge table and pushed through the furnace by an external
mechanism. In the design shown, the furnace is fired from one end, counterflow to load travel, and
is discharged through a side door by an auxiliary pusher lined up by the operator.
Furnace length is limited by thickness of the load and alignment of abutting edges, to avoid
buckling up from the hearth.
A more complex design would provide multiple zone firing above and below the hearth, with
recuperative air preheating.
Long loads can be conveyed in the direction of their length in a roller-hearth-type furnace. Loads
can be bars, tubes, or plates of limited width, heated by direct firing, by radiant tubes, or by electric-
resistor-controlled atmosphere, and conveyed at uniform speed or at alternating high and low speeds
for quenching in line.
Sequential heat treatment can be accomplished with a series of chain or belt conveyors. Small
parts can be loaded through an atmosphere seal, heated in a controlled atmosphere on a chain belt
conveyor, discharged into an oil quench, and conveyed through a washer and tempering furnace by
a series of mesh belts without intermediate handling.
Except for pusher-type furnaces, continuous furnaces can be self-emptying. To secure the same
advantage in heating slabs or billets for rolling and to avoid scale loss during interrupted operation,
loads can be conveyed by a walking-beam mechanism. Such a walking-beam-type slab heating fur-
nace would have loads supported on water-cooled rails for over- and underfiring, and would have an
overhead recuperator.
Thin strip materials, joined in continuous strand form, can be conveyed horizontally or the strands
can be conveyed in a series of vertical passes by driven support rolls. Furnaces of this type can be
incorporated in continuous galvanizing lines.
Unit loads can be individually suspended from an overhead conveyor, through a slot in the furnace
roof, and can be quenched in line by lowering a section of the conveyor.
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Small parts or bulk materials can be conveyed by a moving hearth, as in the rotary-hearth-type
or tunnel kiln furnace. For roasting or incineration of bulk materials, the shaft-type furnace provides
a simple and efficient system. Loads are charged through the open top of the shaft and descend by
gravity to a discharge feeder at the bottom. Combustion air can be introduced at the bottom of the
furnace and preheated by contact with the descending load before entering the combustion zone,
where fuel is introduced through sidewalls. Combustion gases are then cooled by contact with the
descending load, above the combustion zone, to preheat the charge and reduce flue gas temperature.
With loads that tend to agglomerate under heat and pressure, as in some ore-roasting operations,
the rotary kiln may be preferable to the shaft-type furnace. The load is advanced by rolling inside
an inclined cylinder. Rotary kilns are in general use for sintering ceramic materials.
Classification by Source of Heat
The classification of furnaces by source of heat is as follows:
Direct-firing with gas or oil fuels
Combustion of material in process, as by incineration with or without supplemental fuel
Internal heating by electrical resistance or induction in conductors, or dielectric heating of
nonconductors
Radiation from electric resistors or radiant tubes, in controlled atmospheres or under vacuum
45.4 FURNACE CONSTRUCTION
The modern industrial furnace design has evolved from a rectangular or cylindrical enclosure, built
up of refractory shapes and held together by a structural steel binding. Combustion air was drawn
in through wall openings by furnace draft, and fuel was introduced through the same openings without
control of fuel/air ratios except by the judgment of the furnace operator. Flue gases were exhausted
through an adjacent stack to provide the required furnace draft.
To reduce air infiltration or outward leakage of combustion gases, steel plate casings have been
added. Fuel economy has been improved by burner designs providing some control of fuel/air ratios,
and automatic controls have been added for furnace temperature and furnace pressure. Completely
sealed furnace enclosures may be required for controlled atmosphere operation, or where outward
leakage of carbon monoxide could be an operating hazard.
With the steadily increasing costs of heat energy, wall structures are being improved to reduce
heat losses or heat demands for cyclic heating. The selection of furnace designs and materials should
be aimed at a minimum overall cost of construction, maintenance, and fuel or power over a projected
service life. Heat losses in existing furnaces can be reduced by adding external insulation or rebuilding
walls with materials of lower thermal conductivity. To reduce losses from intermittent operation, the
existing wall structure can be lined with a material of low heat storage and low conductivity, to
substantially reduce mean wall temperatures for steady operation and cooling rates after interrupted
firing.
Thermal expansion of furnace structures must be considered in design. Furnace walls have been
traditionally built up of prefired refractory shapes with bonded mortar joints. Except for small fur-
naces, expansion joints will be required to accommodate thermal expansion. In sprung arches, lateral
expansion can be accommodated by vertical displacement, with longitudinal expansion taken care of
by lateral slots at intervals in the length of the furnace. Where expansion slots in furnace floors could
be filled by scale, slag, or other debris, they can be packed with a ceramic fiber that will remain
resilient after repeated heating.
Differential expansion of hotter and colder wall surfaces can cause an inward-bulging effect. For
stability in self-supporting walls, thickness must not be less than a critical fraction of height.
Because of these and economic factors, cast or rammed refractories are replacing prefired shapes
for lining many types of large, high-temperature furnaces. Walls can be retained by spaced refractory
shapes anchored to the furnace casing, permitting reduced thickness as compared to brick construc-
tion. Furnace roofs can be suspended by hanger tile at closer spacing, allowing unlimited widths.
Cast or rammed refractories, fired in place, will develop discontinuities during initial shrinkage
that can provide for expansion from subsequent heating, to eliminate the need for expansion joints.
As an alternate to cast or rammed construction, insulating refractory linings can be gunned in
place by jets of compressed air and retained by spaced metal anchors, a construction increasingly
popular for stacks and flues.
Thermal expansion of steel furnace casings and bindings must also be considered. Where the
furnace casing is constructed in sections, with overlapping expansion joints, individual sections can
be separately anchored to building floors or foundations. For gas-tight casings, as required for con-
trolled atmosphere heating, the steel structure can be anchored at one point and left free to expand
elsewhere. In a continuous galvanizing line, for example, the atmosphere furnace and cooling zone
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