1.2
The mean surface area S of the body is the geometric mean of the inside surface area Si and the outside surface area Se of the body:
In determining the two surface areas Si and Se, structural peculiarities and surface irregularities of the body, such as chamfers,
wheel-arches and similar features, shall be taken into account and shall be noted
under the appropriate heading in test reports; however, if the body is covered with
corrugated sheet metal the area considered shall be that of the plane surface occupied,
not that of the developed corrugated surface.
For calculating the mean surface area of the body of a panel van, the test station
appointed by the competent authority shall select from one of the following three
methods A-C. For calculating the mean surface area of the body of a tank, the test
station appointed by the competent authority may use method A or D.
Method A. The manufacturer shall provide drawings and calculations of the inside and
outside surfaces.
The surface areas Se and Si are determined taking into consideration the projected surface areas of specific
design features of the irregularities of its surface such as curves, corrugations,
wheel boxes, etc.
Method B. The manufacturer shall provide drawings and the test station appointed by
the competent authority shall use the calculations according to the schemes and formulae below.
Si = (((WI × LI) + (HI × LI) + (HI × WI)) × 2)
Se = (((WE × LE) + (HE × LE) + (HE × WE)) × 2)
Where:
WI is the Y axis of the internal surface area
LI is the X axis of the internal surface area
HI is the Z axis of the internal surface area
HE is the Z axis of the external surface area
LE is the X axis of the external surface area
We is the Z axis of the external surface area
Using the most appropriate formula for the Y axis of the internal surface area
WI = (WIa x a + WIb x (b + c/2) + WIc x c/2) / (a + b + c)
WI = (WIa × a/2 + WIb (a/2 + b/2) + WIc (b/2)) / (a + b)
WI = (WIa × a + WIb × b + (WIb + WIc)/2 × c) / (a + b + c)
Where:
WIa is the internal width at the floor or between the wheel arches
WIb is the internal width at the height of the vertical edge from the floor or above
the wheel arches.
WIc is the internal width along the roof
a is the height of the vertical edge from the floor
b is either the height between the bottom of the vertical edge and the roof or between
the top of the wheel arch and the top of the vertical edge from the floor.
c is the height between the roof and point b
Along with the two formulae for the X and Z axes of the internal surface:
LI = ((LIa x a) + (LIb + LIc) / 2 x b + (LIc x c)) / (a + b + c)
Where:
LIa is the internal length along the floor
LIb is the internal length above the wheel arches
LIc is the internal length along the roof
a is the height between LIa and LIb
b is the height between LIb and LIc
c is the height between LIc and the roof
WI = (WI back + WI front) / 2
Where:
WI back is the width at the bulkhead
WI front is the width at the door end
The external surface area is calculated using the formulae below
WE = WI + declared mean thickness × 2
LE = LI + declared mean thickness × 2
HE= HI + declared mean thickness × 2
Method C. If methods A or B are not acceptable to the experts, the internal surface
of the panel van shall be measured according to the figures and formulae in method
B.
The initial K value shall then be calculated based on the internal surface area, taking
the insulation thickness as nil to start the iteration process. From this K value,
the average insulation thickness is calculated from the assumption that λ for the
insulation has a value of 0,025 W/m °C
Once the thickness of the insulation has been estimated, the external surface area
is calculated and the mean surface area is determined. The final K value is derived
from successive iterations.
A different value of λ may be used in this method if the actual value of λ can be
estimated by physical measurements of the properties of the main thermal insulator
of the wall, or by statistical data of other ATP units of similar features. The value
of λ and the statistical data used, if applicable, shall be indicated in or annexed
to the test report Model No. 1 A.
Method D. If method A is not acceptable to the experts, the external surface of the
tank shall be measured, taking into account the geometrical shape of the tank and
the main values needed to model this shape (e.g. diameter, radius, length of cylinder,
etc.). This method can only be used if the tank can be assimilated to regular geometrical
forms (cylinder, cone, sphere) that can be described by mathematical equations.
The initial K value shall then be calculated based on the external surface area, taking
the insulation thickness as nil to start the iteration process. From this K value,
the average insulation thickness is calculated from the assumption that λ for the
insulation has a value of 0,035 W/m °C
Once the thickness of the insulation has been estimated, the internal surface area
is calculated taking into consideration the geometrical shape of the tank, and the
mean surface area is determined. The final K value is derived from successive iterations.
A different value of λ may be used in this method if the actual value of λ can be
estimated by physical measurements of the properties of the main thermal insulator
of the wall, or by statistical data of other ATP units of similar features. The value
of λ and the statistical data used, if applicable, shall be indicated in or annexed
to the test report Model No. 1 B.