temperature. It is the reciprocal of the pipe insulation lineal
thermal resistance, R
L
.
C
L
5Q
L
~
t
o
2t
2
!
51
R
L
(5)
3.2.5 pipe insulation lineal thermal resistance, R
L
—the
average temperature difference between the pipe surface and
the insulation outer surface required to produce a steady-state
unit time rate of heat flow per unit of pipe insulation length. It
is the reciprocal of the pipe insulation lineal thermal
conductance, C
L
.
R
L
5L
~
t
o
2t
2
!
Q51
C
L
(6)
3.2.6 pipe insulation lineal thermal transference, T
r
p
—the
steady-state time rate of heat flow per unit pipe insulation
length divided by the difference between the average pipe
surface temperature and the average air ambient temperature. It
is a measure of the heat transferred through the insulation to the
ambient environment.
T
r
p
5Q
L
~
t
o
2t
a
!
(7)
3.2.7 pipe insulation thermal conductivity,λ
p
—of homoge-
neous material, the ratio of the steady-state time rate of heat
flow per unit area to the average temperature gradient (tem-
perature difference per unit distance of heat flow path). It
includes the effect of the fit upon the test pipe and is the
reciprocal of the pipe insulation thermal resistivity, r
L
. For pipe
insulation of circular cross section, the pipe insulation thermal
conductivity is:
λ
p
5Q1n
~
r
2
/r
o
!
L2π
~
t
o
2t
2
!
51
r
L
(8)
3.2.8 pipe insulation thermal resistivity, r
L
—of homoge-
neous material, the ratio of the average temperature gradient
(temperature difference per unit distance of heat flow path) to
the steady-state time rate of heat flow per unit area. It includes
the effect of the fit upon the test pipe and is the reciprocal of the
pipe insulation thermal conductivity, λ
p
. For pipe insulation of
circular cross section, the pipe insulation thermal resistivity is
calculated as follows:
r
L
52πL
~
t
o
2t
2
!
Q1n
~
r
2
/r
o
!
51
λ
p
(9)
3.2.9 surface areal heat transfer coeffıcient, h
2
—the ratio of
the steady-state time rate of heat flow per unit surface area to
the average temperature difference between the surface and the
ambient surroundings. The inverse of the surface heat transfer
coefficient is the surface resistance. For circular cross sections:
h
2
5Q
2πr
2
L
~
t
2
2t
a
!
(10)
3.3 Symbols: see 1.3:
C
L
= pipe insulation lineal thermal conductance, W/m·K
[Btu · in ⁄F · hr · ft
2
],
R
L
= pipe insulation lineal thermal resistance, K·m/W
[Btu · in ⁄F · hr · ft
2
],
T
r
p
= pipe insulation lineal thermal transference, W/m·K
[Btu · in ⁄F · hr · ft
2
],
λ
p
= pipe insulation thermal conductivity, W/m·K
[Btu · in ⁄F · hr · ft
2
],
r
L
= pipe insulation thermal resistivity, K·m/W [F · hr · ft
2
],
h
2
= surface areal heat transfer coefficient of insulation
outer surface, W/m
2
·K [Btu · in ⁄F · hr · ft
2
],
C= areal thermal conductance, W/m
2
·K
[Btu · in ⁄F · hr · ft
2
],
R= areal thermal resistance, K·m
2
/W [F · hr · ft
2
],
T
r
= areal thermal transference, W/m
2
·K
[Btu · in ⁄F · hr · ft
2
],
Q= time rate of heat flow to the test section of length L, W
[Btu/hr],
t
o
= temperature of pipe surface, K [F],
t
1
= temperature of insulation inside surface, K [F],
t
2
= temperature of insulation outside surface, K [F],
t
a
= temperature of ambient air or gas, K [F],
r
o
= outer radius of circular pipe, m [ft],
r
1
= inner radius of circular insulation, m [ft],
r
2
= outer radius of circular insulation, m ft],
L= length of test section (see 8.1.1), m [ft], and
A= area of specified surface, m
2
[ft
2
].
4. Significance and Use
4.1 As determined by this test method, the pipe insulation
lineal thermal resistance or conductance (and, when applicable,
the thermal resistivity or conductivity) are means of comparing
insulations which include the effects of the insulation and its fit
upon the pipe, circumferential and longitudinal jointing, and
variations in construction, but do not include the effects of the
outer surface resistance or heat transfer coefficient. They are
thus appropriate when the insulation outer-surface temperature
and the pipe temperature are known or specified. However,
since the thermal properties determined by this test method
include the effects of fit and jointing, they are not true material
properties. Therefore, properties determined by this test
method are somewhat different from those obtained on appar-
ently similar material in flat form using the guarded hot plate,
Test Method C177, or the heat flow meter apparatus, Test
Method C518.
4.2 The pipe insulation lineal thermal transference incorpo-
rates both the effect of the insulation and its fit upon the pipe
and also the effect of the surface heat-transfer coefficient. It is
appropriate when the ambient conditions and the pipe tempera-
ture are known or specified and the thermal effects of the
surface are to be included.
4.3 Because of the test condition requirements prescribed in
this test method, recognize that the thermal transfer properties
obtained will not necessarily be the value pertaining under all
service conditions. As an example, this test method provides
that the thermal properties shall be obtained by tests on dry or
conditioned specimens, while such conditions are not neces-
sarily realized in service. The results obtained are strictly
applicable only for the conditions of test and for the product
construction tested, and must not be applied without proper
adjustment when the material is used at other conditions, such
as mean temperatures that differ appreciably from those of the
test. With these qualifications in mind, the following apply:
4.3.1 For horizontal or vertical pipes of the same size and
temperature, operating in the same ambient environment,
C335/C335M − 23
3