Information taken from
African Heating & Cooling - HVAC & R Handbook 2002/3
and
Refrigeration &
Airconditioning Directory 2002
SI
Systems
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The use of the SI System is
compulsory in South Africa and there is little doubt that it will become the
only measuring system in the world.
In view of the international
character of the SI System, it is imperative that it be applied correctly. If
not, wastage of time and unnecessary expenses may result.
The three classes of SI
Units
Base Units
The SI is based on a set of
seven base units, i.e. the metre (m), the kilogram (kg), the second (s), the
ampere (A), the Kelvin (K), the candela (cd) and the mole (mol).
Supplementary Units
This class contains only 2
units, the radian and the steradian, which are the units of plane angle and
solid angle respectively.
Derived Units
SI derived units are expressed
algebraically in terms of SI base units and supplementary units by means of the
mathematical symbols of multiplication and division. For example, speed is
defined by distance divided by time, and consequently the unit for speed is the
metre per second (m/s).
Some derived units have special
names and these can again be used to form further derived units. In basic
formulae only SI units are used.
The seven SI Base Units
| Quantity |
Name of Unit |
International Symbol |
| Length |
metre |
m
|
| Mass |
kilogram |
kg |
| Time |
second |
s |
| Electric current |
ampere |
A |
| Temperature |
kelvin |
K |
| Luminous intensity |
candela |
cd |
| Amount of substance |
mole |
mol |
Notes
-
In refrigeration and airconditioning the term
Kelvin, with its symbol K, is used for absolute temperature (T).
-
The customary temperature (t) is given in
degrees Celsius (°C).
Celsius temperature is defined by the equation t = T – To, where To =
273.25K by definition.
-
When expressing a temperature interval or a
temperature difference, both units can be used (K or °C).
-
Symbols for the thermodynamic quantities
follow current usage, i.e. capital letters stand for the quantity itself,
while the lower case letters stand for the specific quantity.
| Examples:
|
V = volume |
v
= specific volume |
|
H
= enthalpy |
h = specific enthalpy |
- Times, rates of transfer or flow are denoted
by a dot over the symbol.
| Examples: |
m = mass
|
= rate of mass flow |
|
V = volume |
= rate of volume flow |
Method
of writing SI units and symbols
Symbols
Symbols
are typed or printed in Roman (upright) letters and are always lower case
letters except if the name of the corresponding unit is derived from the name of
a person, in which case the symbol, or the first letter thereof if it consists
of more than one letter, is a capital letter. Examples: metre (M), second (s),
watt (W), hertz (Hz), etc. These rules apply always, even if the rest of the
subject matter is printed in upper case or other letter types as in headings of
tables, paragraphs, etc.
| Examples: |
LENGTH IN m
or Length in m |
FREQUENCY IN Hz
or Frequency
in Hz |
Symbols
have no plural, e.g. 1m, 2m, etc.
Note
that it is incorrect to refer to the symbols as abbreviations. Symbols are
therefore not followed by a fullstop unless they occur at the end of sentence,
in which case it is recommended that a space be left between the symbol and the
fullstop to stress that the fullstop is not part of the symbol, e.g. the length
of an object is 2,5m . The product of two or more symbols is preferably
indicated by means of a point. This point is preferably raised above the line as
in N×M
but also may be printed on the line as in N.M if the former position is not
easily reproduced, for example in typed work. If there is no risk of confusion
with other symbols then the point may be replaced by a space (N m).
A
solidus, horizontal line, or negative powers may be used to indicate division of
symbols, e.g. m/s, ,
or m.s²
but NOT J/mol.K or m/s/s. It is recommended that negative powers be used in more
complicated cases which may lack clarity in other notation. Brackets may also be
used.
Example: m.kg.s-3,
A -1 or m.kg/(s3.A)
When
written out in full, the name of a unit is written in lower case letters
irrespective of whether it is derived from the name of a person or not.
Exceptions are if the unit appears at the beginning of a sentence, in which case
the first letter is a capital letter, and if the whole of the subject matter is
printed in capital letters e.g. LENGTH IN METRES.
The
plural form is used in English but not Afrikaans, e.g. 1 metre, 2 metres in
English, but 1 meter, 2 meter in Afrikaans. In English, multiplication of units
is indicated by means of a space (Newton metre), but in Afrikaans it is
indicated by means of a hyphen (Newton-meter).
Division
is indicated by the word per in both English and Afrikaans, e.g. joule per mole
Kelvin (English) and joule per mol-kelvin (Afrikaans). One “per” is used.
Where this leads to complications such as with acceleration (metre per second
”per” second), expressions such as metre per second squared are recommended.
SI
Prefixes
The
use of only SI units would sometimes lead to inconveniantly large or small
values. To avoid this cumbersome notation a series of international prefixes are
used to form decimal multiples and sub-multiples of SI units.
|
| Prefixes (Preferred) |
| Factor |
Factor in words |
SI Prefix |
SI Symbol |
| 1 000 000 000 000 or 1012 |
billion |
tera- |
T |
| 1 000 000 000 or 109 |
milliard |
giga- |
G |
| 1 000 000 or 106 |
million |
mega- |
M |
| 1 000 or 103 |
thousand |
kilo- |
k |
| 0.001 or 10-3 |
thousandth |
milli- |
m |
| 0.000 001 or 10-6 |
millionth |
micro- |
u |
| 0.000 000 001 or 10-9 |
milliardth |
nano- |
n |
| 0.000 000 000 001 or 10-12 |
billionth |
pico- |
p |
| 0.000 000 000 000 001 or 10-15 |
billiardth |
femto- |
f |
| 0.000 000 000 000 000 001 or
10-18 |
trillionth |
atto- |
a |
|
Prefixes (other)
|
| Factor |
Factor in words |
SI Prefix |
SI Symbol |
| 100 or 102 |
hundred |
hecto- |
h |
| 10 or 101 |
ten |
deca- |
da |
| 0.1 or 10-1 |
tenth |
deci- |
d |
| 0.01 or 10-2 |
hundreth |
cent- |
c |
|
Units used together with the SI
The units in the table below have attained such a
wide general use that there is little hope of eliminating them. Because they
play such an important part, they have been recognised and must be retained for
general use together with the SI.
| Quantity |
Name of Symbol |
Volume in Terms of the SI |
| Capacity |
litre (l) |
1l = 1dm3 = 0.001m3 |
| Volume |
litre (l) |
1l = 1dm3 = 0.001m3 |
| Mass |
metric ton (t) |
1t = 1Mg = 1000kg |
| Time |
minute (min) |
1 min = 60s |
| Time |
hour (h) |
1h = 3.6ks = 3600s |
| TIme |
day (d) |
1d = 86.4ks = 86 400s |
| TIme |
week |
1 week = 604.8ks = 604 800s |
Note 1
It is strongly recommended that where possible and in particular where
scientific and technological calculations are under construction, these units be
avoided in favour of the corresponding SI Units, or where data is provided in
these units that it be first converted to the correct SI units before being used
in calculations.
Note 2
The international symbol for the litre is a lower case l. This can, however,
sometimes be confused with the number 1in typed and printed matter, and it is
therefore recommended that a "script"
l, such as shown here, be used for this
purpose.
Additional rules, notations and hints
Notation for numbers
For numbers smaller than 1 a zero must precede the decimal indicator.
e.g. 0.5m (500mm) BUT NOT .5m
R0.25 (or 25c) BUT NOT R.25
If there are more than three numerals on either side of the decimal indicator,
then these numerals are divided into groups of three by means of spaces
(counting from the decimal sign) to promote readability, 1 725 353.684 901
Standard Values
| Table 1: Specific
heat capacities of water at different temperatures. |
| Temperature
(ºC) |
Specific
Heat Capacity of Water (kJ/kg.ºC) |
| 0 |
4.217 4 |
| 4 |
4.204 5 |
| 15 |
4.185 5 |
| 99 |
4.214 5 |
| Table 2: Specific
heat capacities of air and steam |
| Specified
Capacity - average for A/C applications (kJ/kg.ºC) |
| Dry Air |
1.012 |
| Moist Air |
1.020 |
| Water Vapour |
1.890 |
| Table 3: Specific
latent heat of vaporization of water |
|
(ºC) |
(kJ/kg.) |
| 0 |
2 501 |
| 10 |
2 477 |
| 20 |
2 454 |
| 30 |
2 430 |
| 50 |
2 383 |
| 100 |
2 257 |
| 150 |
2 114 |
| 200 |
1 940 |
Values of the accelerations due to gravity at
various places in Southern Africa
| Basis:
Pendulum
House, Cambridge, England [g = 9.812
65 m/s2] |
| Cape Town |
9.796 52 m/s2 |
| Port Elizabeth |
9.796 34 m/s2 |
| Pretoria |
9.786 258 m/s2 |
| Bloemfontein |
9.788
47 m/s2 |
| East London |
9.793
22 m/s2 |
| Durban |
9.793
22 m/s2 |
| Harare |
9.781
44 m/s2 |
| Windhoek |
9.783
17 m/s2 |
| Johannesburg |
9.785 46 m/s2 |
A good average value for Southern Africa is
9.79m/s2
Standard Temperature and Pressure (S.T.P)
Standard Temperature and Pressure (S.T.P) refers to an absolute pressure of
101.325 0kPa and a temperature of 0ºC.
Density of Dry Air
The density of dry air at various pressures and temperatures is given in the
following table:
|
Temp |
Density
of dry air in kg/m3
Altitude and Barometric Pressure |
| ºC |
Sea
Level
101.325kPa |
700m
93.19kPa |
1
400m
85.60kPa |
1700m
82.50kPa |
| 0 |
1.293 |
1.189 |
1.092 |
1.053 |
| 10 |
1.247 |
1.147 |
1.053 |
1.015 |
| 15 |
1.226 |
1.128 |
1.036 |
0.998 |
| 20 |
1.205 |
1.108 |
1.018 |
0.981 |
| 30 |
1.165 |
1.071 |
0.984 |
0.949 |
Note:
The density of moist air can be obtained from the appropriate
psychrometric charts.
References
SABS publication M33, The International Metric System (SI)
SABS publication M23, Metrication in the Fan, Ventilation, Refrigeration and
Compressed Air Industries.
|
SI
Electrial Symbols
Comparative table of
the most commonly used symbols
| Nature
of Symbols |
European Standards |
US Standards |
|
(Old Version)
Power |
(Old Version)
Control |
(New Version)
Power |
(New Version)
Control |
Power
|
Control |
| Normally open contact N/O |
 |
| Normally closed contact N/C |
| Contact delayed on
energisation "on delay" timers |
| Contact delayed on
energisation "off delay" timers |
|
Fuses |
| Rolays |
| Operating coils |
| Motors |
| Disconnect
switches, isolators |
| Circuit breakers |
Information supplied by the
Refrigeration & Airconditioning Directory 2002
www.plumbingafrica.co.za
and African Heating &
Cooling - HVAC & R Handbook 2002/3
Tables
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Air conditioning Design
Check Figures
| Description |
Sea
Level |
Altitude |
| Cooling load offices -
standard design |
110 W/m2 |
100 W/m2 |
| Heating load office -
standard design |
45 W/m2 |
50 W/m2 |
| Cooling load offices -
energy efficient design |
90 W/m2 |
80 W/m2 |
| Heating load offices -
energy efficient design |
40 W/m2 |
40 W/m2 |
| Cooling
Loads of Commercial Office Building Elements: |
| Load
Element |
Average |
High |
| Lights |
18 W/m2 |
25 W/m2 |
| Equipment |
15 W/m2 |
35 W/m2 |
| Fresh Air l/s/m2
and (Resulting W/m2) |
0.75 l/s/m2 @
11W/m2 |
1 l/s/m2 @ 16W/m2 |
| m2
per person and (Resulting W/m2) |
10m2 @ 13W/m2 |
7m2 @ 18W/m2 |
| Facade load per floor area |
45 W/m2 |
55 W/m2 |
| Cooling
Loads of Retail Building Elements: |
| Load
Element |
Average |
High |
| Lights |
30 W/m2 |
60 W/m2 |
| Fresh Air l/s/m2
and (Resulting W/m2) |
0.75 l/s/m2 @
11W/m2 |
1.61 l/s/m2 @
24W/m2 |
| m2
per person and (Resulting W/m2) |
10m2 @ 12W/m2 |
6m2 @ 20W/m2 |
| Facade load per floor area |
10 W/m2 |
30 W/m2 |
| Energy
Consumption - Commercial Offices (Total electrical consumption): |
| Description |
Check
Figure |
| Energy efficient design
electrical demand - Average per m2 |
65 W/m2 |
| Energy efficient design
electrical consumption - MJ/m2.annum |
500 |
| Standard design electrical
demand - Average VA/m2 per month |
90 |
| Standard design electrical
consumption - MJ/m2.annum |
1100 |
| Design
Weather Data: |
| City |
Winter
(°C db) |
Summer
(db/°C wb) |
| Bloemfontein |
1.7 |
35/21 |
| Cape Town |
7.0 |
35/21.1 |
| Durban |
10 |
30/25.5 |
| Johannesburg |
2 |
30/20 |
| Port
Elizabeth |
7 |
30/22 |
| Pretoria |
5 |
33.3/21 |
- Source: Based on CSIR Research Report 300:
Van Deventer, E.N. 1971. Climatic and other design data for evaluating
heating and cooling requirements of buildings. CSIR. Updated by RIchard
Pearce & Partners, February 2002.
- Data quoted are for 2.5% probability levels.
Check Figures for Cold and
Freezer Room Loads
|
|
Cold
Room 1°C
Capacity based on 100mm polystyrene
panels with an outside box temperature of 32°C, compressor suction
-5°C and a 6K difference on blower coil.
Holding only: Zero product load
Average usage: Based on 35kg/m3/day
coming in at 20°C
Heavy usage: Based on 70kg/cm3/day
coming in at 20°C |
|
Freezer
Room -20°C

Capacity based on 150mm polystyrene
panels with an outside box temperature of 32°C, compressor suction
-26°C and a 6K difference on blower coil.
Holding only: Zero product load
Average usage: Based on 35kg/m3/day
coming in at -5°C |
Freezer
Room -20°C

Capacity based on 150mm polystyrene
panels with an outside box temperature of 32°C, compressor suction
-26°C and a 6K difference on blower coil.
Heavy usage: Based on 35kg/m3/day
coming in at +10°C
|
Average Power Factor
Efficiencies and Full Load Currents
Details are given for 3000 rpm motors. Details
for other speeds vary slightly.
| Three-phase
motors: |
| Output
power |
|
|
|
| kW |
hp |
Power
factor |
Efficiency
% |
Amps
@ 380 V |
| 0.37 |
0.5 |
0.81 |
66.0 |
1.05 |
| 0.55 |
0.75 |
0.81 |
71.0 |
1.45 |
| 0.75 |
1 |
0.85 |
72.0 |
1.85 |
| 1.1 |
1.5 |
0.82 |
75.0 |
2.7 |
| 1.5 |
2 |
0.86 |
78.0 |
3.4 |
| 2.2 |
3 |
0.82 |
80.0 |
5.1 |
| 3 |
4 |
0.88 |
84.0 |
6.2 |
| 4 |
5.5 |
0.85 |
84.0 |
8.5 |
| 5.5 |
7.5 |
0.89 |
84.0 |
11 |
| 7.5 |
10 |
0.87 |
88.0 |
15 |
| 9.2 |
12 |
0.88 |
87.0 |
19 |
| 11 |
15 |
0.90 |
88.0 |
21 |
| 15 |
20 |
0.90 |
89.0 |
28 |
| 18.5 |
25 |
0.89 |
89.4 |
35 |
| 22 |
30 |
0.87 |
90.0 |
43 |
| 30 |
40 |
0.88 |
90.6 |
57 |
| 37 |
50 |
0.87 |
91.0 |
71 |
| 45 |
60 |
0.87 |
92.0 |
85 |
| 55 |
75 |
0.87 |
92.7 |
104 |
| 75 |
100 |
0.89 |
92.5 |
139 |
| 100 |
136 |
0.88 |
92.8 |
187 |
| 110 |
150 |
0.89 |
93.5 |
200 |
Source: Nustart Electric Motors
| Single-phase
motors: |
| Output
power |
|
| kW |
hp |
Amps
@ 220 Volts |
| 0.37 |
0.5 |
3.9 |
| 0.55 |
0.75 |
5.2 |
| 0.75 |
1.0 |
6.6 |
| 1.1 |
1.5 |
9.6 |
| 1.5 |
2 |
12.7 |
| 2.2 |
3 |
18.6 |
| 3 |
4 |
24.3 |
| 4 |
5 |
29.6 |
Source: Telemecanique
Pressure Temp/Chart
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