Document OJywQ3pwKBXaEv1xry7eM75KM
406
CHAPTER 23
1965 Guide And Data Book
lortro
in reinfive humidify Thi* ATnlftina in part,
the greatly reduced relative humidities experienced in houses -.
in extreme cold weather, when cold outdoor air enters the
house and is heated.
WATER IN BUILDING MATERIALS
The surfaces of most common materials have an affinity
for water molecules. Molecular forces of attraction will hold .
water molecules to the surface, but decrease very rapidly
with increase in distance of molecular proportions. The film
thickness and' therefore the amount of water held in equilib
rium with the surrounding atmosphere is roughly proportional
to relative humidity. Surface films of water molecules, at low '
humidities, may be only one molecule thick; at moderate
humidities poly-molecular films may be established, while
at humidities very close to 100 percent, the films become so
thick, relatively, that small pores may become filled and
larger capillaries may be partially filled. At saturation condi
tions all voids in the material may be completely filled.
Some materials such as sfliea gel, alumina and most natural
fibrous materials present very large effective surfaces to the
water molecules, so that the amount of water held on the
effective surface in these materials may be relatively large,
even at moderate humidities. These are said to be hygroscopic.
Other materials, such as most metals, not penetrated by the
water molecules, present relatively small surfaces and so may
take only minute quantities of water, except when wetted
directly by liquid.
Substances having a great affinity for water, and their use
as dehumidifying agents, are described in Chapter 17. Data
on the moisture contents of various common materials in
equilibrium with the atmosphere at various relative humidities
are given in Table 2 of Chapter 24 of the 1964 Guide And
Data Book, and equilibrium moisture content is further dia-
cussed in Chapter 22 of thin volume.
;
Significant dimensional changes take place in many ma
terials used in buildings, with change in moisture content. -
The best known are those which take place in wood, of the
order of 0.1, 2, and 4 percent in the longitudinal, radial and
tangential directions, respectively, on a change from air dry
at 12 to 15 percent moisture content to oven dry conditions.
Most wood-fiber products, including papers, will exhibit mois
ture expansion consistent with the basic wood properties to a
degree dependent on the fiber orientation and arrangement.
Data on wood are available in publications on wood tech
nology. Almost all plant and animal fibers experience ap
preciable moisture changes with changing relative humidity
and undergo substantial dimensional changes of the same
order as those in wood. Less generally recognized are the di- _
menaonal changes that can occur in masonry materials as a
result of changes in moisture content.
Water is either an essential or a contributory factor in al
most all cases of breakdown of building materials resulting
from chemical changes such as the rusting of steel, physical
changes such as the spalling of masonry by frost action, or
biological processes such as the rotting of wood. The control
of water in building constructions may be necessary to ensure
adequate service from the materials involved.
Condensation of water vapor, although not the only means
by which wetting may be brought about, is nevertheless a
most insidious one, particularly in respect to freeze-thaw
breakdown, since from its nature it is most likely to occur at
points of low temperature at which they may later be risk of
freezing while the material remains in a saturated condition.
Moisture in building materials may have a marked effect
' upon the transmission of heat through them. It has been com
monly n-ggnmpH that moisture when present in a material will
remain more or less stationary and will increase the conduc tivity largely by adding to the path available for heat flow. On this basis, the effect of moisture on heat flow can be ac counted for quite simply by the use of suitable coefficients of conductivity in the usual heat-flow equations. The data presented in Chapter 24 on moist soils are of this type.
Evidence to date indicates, however, that in porous ma terials partially saturated with water there is likely to be a migration of moisture to the cold side under the influence of the temperature gradient. This can occur by a process of evaporation, vapor flow, and condensation within the ma terial, a substantial amount of heat being transferred as latent heat of the vapor, particularly in the case of open fibrous materials. The transmission of heat through moist materials becomes complex whenever conditions are such as to produce any appreciable migration of the moisture, and, consequently, calculations by the usual heat-flow theory alone, are an approximation.
The usual approach to the calculation of moisture migra tion has been to consider the flow as hydraulic, under the influence of hydrostatic forces when the materials are satu rated, and as a vapor flow produced by vapor pressure dif ferences in unsaturated materials. These simple concepts might be adequate were it not for the fact that there are inter actions between water molecules and the material through which they are passing, as already mentioned. Further com plications may be introduced by the presence of salts and electrical potentials.
It is now recognized that the migration of moisture under conditions of partial saturation in a material having an affin ity for water actually occurs as a kind of series-parallel flow of vapor and liquid, with the liquid phase having more and more influence as the moisture content, or the degree of satura tion, increases. The two kinds of flow cannot be separated since they are closely coupled everywhere along the flow path by evaporation and condensation. Enough is already known to indicate that the isothermal or constant temperature case of vapor flow under a vapor-pressure gradient is much more manageable than the cases in which there are both tempera ture and vapor-pressure gradients. Cases of combined heat and moisture flow arc now known to be extremely complicated and it is quite clear that when both are occurring, neither one can be adequately dealt with independently of the other. No adequate way of handling the general case theoretically has yet been found, despite efforts being made in many laboratories. The bibliography at the end of this chapter includes some of the more important papers on this subject.
A relatively simple equation for the calculation of watervapor flow based upon the concept of vapor pressure alone as the driving force, has been in use for a number of years. It can be applied without great difficulty to cases where uni form temperatures or only small temperature gradients exist, and to cases of low or moderate relative humidity. It has also been shown to be useful in other cases, provided that the proper values representative of the conditions to which it is being applied can be found for the flow coefficient to be used in the calculations. The complications inherent in the com bined mechanisms of heat and moisture flow are not ade quately covered by the variables used in the equation, but appear in the determination of suitable values of the flow coefficient, which, however, may vary greatly for any one material, depending on the conditions of flow.
VAPOR TRANSMISSION THROUGH MATERIALS
The equation presently used in calculating water-vapor transmission through materials is based on a form of Pick's Law, and is as follows:
Moisture in Building Construction
407
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a from onpobibbed
dp ** dx
(1)
v> " weight of vapor transmitted through a unit area in unit time.
p " vapor pressure.
x * distance along the flow path,
and hence:
- --
dp *= vapor pressure gradient,
permeability.
--
The close parallel with Fourier's equation for heat flow will
be noted. The actual transmission of vapor through a ma-
tofel is extremely complex, so that the coefficient, p, is not a
ample one but is actually a function, of. relative humidity
tod temperature, and may. yaiy. along the flowipath through
the material in question.*
*
Integrating Equation 1 from x = 0 to x '= l and from pi to p*, and rearranging, the following is obtained:
pdp . (pi - Pi)
(2)
Let pdp
(3)
Then,
'W where
l length of flow path (or thickness of material).':. ^ ' ' If Equation 1 had been integrated, assuming the.coefficient