Lecture Note
Thermal Dynamics and Solar Heating
-
University:
Massachusetts Institute of Technology -
Course:
4.411 | Building Technology Laboratory Academic year:
2019
-
Views:
192
Pages:
71
Author:
Gironetzbk3n
Ikierrvtil -bcu~\tcS cOvyi
a Le
Cj
me&1k
r&
Ja dlnR
ollar MWI
3
4 sevracmr
. rMltA.i-DrcI
7,
c~iAO
SaAE
C
M
1 Irco~,lA,,,,,
rv6L
(If
V (VA
1ev
alp
serJ&1
2.
Lr
rAr
i
tc
la
4>
aln2
aJ6iLL4 IecllsJ wdteA
OdL
rqerCc:4aeJ]S 15 r,3iAS
0
of
crcc /
Mod/e /
koA
zWgAcers /
(Accl6accl/
e
z/ecrcce/
Crz/oe
0/4
a ex
an a/vice
z
.'L
m?
K~
/ersta /
e eap aC/S
1/ /
6~c /a 1v /
a/, Irma//
a
6&- c/lorac/ere
C(glc 'v7i/
13L
F r *'
kA
L
/caaf /Ij,
ot
(T - Tj
h.
L
UWA
I
L3
cQre
U
(
1 -
z
fi L F
Az.f,,,-0
L
-I
-K
lsC /ec/r, ca/
Ct ^O /O
E//clcnci
AV
r
vL
VI
_ AL
It
L c,,. /
/ tls
kel,, A
C
(-
T~~LTym Cat~
~
~
-/
r
R____ T___
FRi-a I
I
I-
R-rilI
- IPl
~Sk -L
"
I7Jd
R--
:1
C
I K~L- //ec/
C-
rC.I
t
ILh"i
C
c
MC~'//
In re,
C
aO
lv
1<2 1<
-
r
C
tJkre~ M
Iv
44
OnlA,
F
i,
Iv
£s
kfAA lv41,
Iro
COnW�d7�chl
--
OCZP
C5f7
4
e
ZIQ4talfl
//-c,1-1006rTe1"rkf
e~el~
nIA
ia
Z /e/,
C JT
Icr A.1
4ana
/lsses
-A
R
U4I/
C
'(
'C
77
/k'lA/
5/e# 5z&/e.
-
c/ 7c 7- /a
R
-
o,i
S
t_
Ce/cL5,s sc ,X
.Yec
I
/cnper tcs
/(
g-r
/snzjc
(LeOu~6ae-
4
re
c /444
d/l4AsXec
.6
p
ra
dt C
feA &He
QOclbr AD 5feca/ ra,
i
Ce
/ ft X7
A$5ij
a,
//C
KI
o rn
X
/C
e,A)O &//AJ
IZ?64a16r?%-s~
Fcera//
A I'dJ a4/
a 11x e
74
1 /a
lla,A
T., I-l7
6 - / 4,(
-,
-
ce
/
T~i~ .
I
JT
iJt
Im17:
Ci-
zo-,
.41
1""4,.l
dt
0
e-It
)e I
f
e11,
Ile-
&Xcica/
Atc
OSLt
C/e
T7
7
I
.
2
6
/3e T/
Dz - ./ e
A
z-i l- f,
A
//l ACE
/S egrIN-1 1 /
--
r
Z 14?
'le"t, /
4 X.0
eq aA
I1/A
4
/CS?(I4Z14 /3 :: 7-t-,, 1 i
So,/
e - f/'?
ItAllid
4 c6//E
crapL
I
7I/ /
7
/
fla
lcmioor-4~ /"
ramts
i as
4
Zxvoxt/
I
;I/
a
Ca( 2
T
ezzo'kj
e rexSd,
S-614'k7
ec,~A / 9P"
ZC
le'll
(7 7X
//It, A.1 = (Tt- 7o)
/anr.
-4 a
ok Of/3aA,f
er
/36() e
,AJ, 11,~e
Aa
/3
Wb /t&<)
a
xLA/c)
IAd-
e(r//
fA t
Ceo P~ca/ ofr elytazrll
T014 ae~
dT7
4
0
/ a
.P~z-xa/
5,
4
,
T
/,Q g
c/ T
e
>
cit
T: A
'4
A
la
~/
SL
le-/or , a / C
/ az
oe
113&f)
C
of 7,T, A/
ri1orJ/
0/a/
ft4
i
"cl1/
4a'
Xcl-~L
e Af:6
'olthocW`-ov r
7-
Aea/ Aa/ace
._
Af, S4
/UI /4 b
be
-
i/e
6ed4c
(
/ a
(yes e leA,
5A4 )IL t-/
46 Ag
T
(Xeptvspl/
s
sur/ace
Ce Zq
af4rcC
AS
b
n/
f
/C/
)e
b
Jce
o$/e'c sori~ce
"ik~Z9
o?7r;-
-19 /I- -ce
/eAJC#
e1/Se
ARK
tt S/4>
Sult/Q X~b
e~zffi +a
¢m
rcA
//e
r
oi2
,
IJ
Xe
>
s acl
Sv</Ae
/(,b~vl
c
lrC
,4c7
% jLB
/
CdOc
O/C-
{^
~U-;/,I,9:~
6//tie A iJ,4
9OO/$4/
ed
SXUf,
,
/
<
5/b X~
/7z°>9c
qq y
0 l~t-5 ezzp
74t
ca-it. e-4a/1
t14
-R/- T
A
,'T
R
,+
a62_z
,C/14
Vo0
rlrecla1d ,I/Pf
t
0
5
,·
'e
C4
,
T,)
,
(,
R2
-4
T"-
Ti
-1
I
oe 1t
I
+
)(10-1-
i~9'
A
W--f
C, R
ia-
I
ILJ - J,-A
'R A
(Tzd -
(Tj -
die
ace.
-c
h
A
A
(
f 60
( TJ-
(mJZi-TSY
Alt
I%
R2
a6Xs1!
(T- A
,)$
N)
/,,Ec
Cratd - ),;
R
/A
-Tc,,, -
(T-
-1)
I
.
p T,,4
R
A
oz4
4t
P,
,LC
7"
-_k
Zreeoralt, 1- ca
e1 7,
1015L
7i 1rj
eIf.
a1/
Lf
fd
/
X,
n ,)
Ie
1-e /7
z
I
2
1 z-e_
RZ
( 1 - 7')
19 2
A
iz
,,
(T
Rzz
IE
it.
-
1
0A
iX,22
t g
i;,
N)
-
v
R' '
t
ARj
'9-1~
als L;
PIt R.
(
R IR
f
I 1T - T-i.
K1'"
U &11
1.
I,r,
Ja/
/.
IAd'
Ace161j
7IcoaJe
SarCa
e/I
et,
Xa
/A
AJ
A-0 olttce
7Aa9c68~
I
%~&1 A
Cc
se'~
(TJ -T,
I
les
xaoat
/4,
y
714
(JLJOL1l
1
+
-7
induwce ;l
5e a,,
evelo/p
eby
p es)ve,
X
As
Ap,/
baits
I 4JA
1t
AQW
. 66C S
e/^ha//
xY
-
e44
Jo
,c
/e
de-e Itt
.//-:
U
0,S
W
J /6 2
+/oR
1 it
7m, ejAL
(C 2 "r,Jl
v
eeat f
&r
oA~
r
17
le,1
To,/ - I,t. 10 K
It
7AeA
;
\S-w
w
6s- \A/
I C a//
'-O)
-
24r
{
511
A
S
,tac'd a
2/Ai
/- II
ter
4 (A
sie
i'>
/_
4
Lt/
e-v
IA-s
cn oj
hK
_
IA.e ar
aXPed
-
e,
,/OrG
clre8JAce) -
/,
s
a
Na// /
44 edL V.g/ i
A/otJ /s
-
Anz
-Sola·r g4,n
t
'w
re-olb
keJ/on
f74~ri.
e
{
(¢
/l~
1-
scz
/Al
fk at
r nd10
- 30 -Z
j
U - . o9
/. 7/ 7
· osok
A
V
I I,
o/6.
dq'I
kz l~ lad~
I 9l
A.
A
(:
-029
1
o, 7J.
./,A /7
6Y , - q
3
,
IZ7-6 :
~
J/
0(r t
h
0,
6,s-,9 A
I
wallZ
U~d.'r
F~
a
I
_/O
4vM
gorse
o/c
S./0
_ S
/3
,5( f
/
ce
.
_
407t
A
2
W
Ad 7Z
"ta
nF2
dan!-
3
/A
4
W/
/e2
ij
)
ze
)
8
//
O. s w
WZK
. Ab
712
-3 / cpEp.e` neTQp
n.osoAac-c la
,
/
O a 4A/e1c
4
U/A
W22rc
A
r~e-
cre r
toji g
dA/m
&
q
4
eJ1
/A-S/
,
eOGJrIS
JL1
i5 thQ3 &/
5lSUY
e
P,)°(v/I-ten d b/~Ja/l
o3g7
i
/A
yu
AIA
s A/
Ctria of
u
Af5
dJ)r/,tIzw
L
010
4
88
A /deOA
Svr 1cei
ver
cZ
's 'o
Il k
,,y
ML,./
a
I
eil
J
/142L/
l9
iv
4J4
/cj&
yJ>4)
[4J s
1//A
/eseJ
/
1v5S4
./ImrrA G
2
p
1
/A- /s
2.
r,.,)
L2
//
&
a
CstsC
ea
4'ag
&cJ1J&o
0/�34//-
-
hit :
OIAO&Z~
paA r,
le
s Ml
SC -T
i
UC lA
JA -,,
.3olr,.,et-rl;
UdJo )e
L
a/
6,
at-
(
W/m- /<
17
-1
IAI
r, -
4,s
Ie
It,.
4-0,11
A
IJ,4I&J
r- o0s
1r
4
'T
Xe,I-le,r kT Ale-YgrI
If
X~i fl
-1 Z- iA.I
-- r.-
IL
/'
,
A//} c
/
x(z
Jq
a//4
)a// o
- 33
4se,,4r /AX&
a
COA
~
C 4)/AJ
a
,
1-,v e,,Xzh
kaYtl4k
L /
c6xs
fec
&/5
L e^
emts/
k.-
*tpIca
-
f,
K
z
m K'
2
W/
,. K<
A-c
3~si/J cah~cc
.a,,d 6
56 efd.Srd,- t6(
.S,,r
T7, -
4
re
icC-
/
A Ijed//
~/As
16
-1 6
-4-
2
.3,
lA~
s
9 A^Z -
C4/I,
7t4
4.
pca 7 lc
a
j
38 S
Wca//,.
a
6Je
o/f
CO?,t/AIO
// ,eG>C-
la~;_
/0v
K
TA
I
da,//
Ib/-
ceX/J
k
/ Ae2m
ACy k
/s
I
6JI// "o"Jel
azi a L
t
s/k,
s
cZyQ/Va/e/1l er/cal
e1/
a 4Jr,
/
);:r /'iS
S///prfclse,
f A
6r16cl
Oda
o lo
S�S/crrli
/
wp)e
cl
: T
1.
AC/
M/h/
I AeLc-
Ztri
Ae,,r
Ar /e
7o
A c
off
retm
tl
Ile- SblaM
reLcC
GC
tde c
az,^07?L
/f
lai5/a11t
4;i-Ie
2.
/
6 0 lz: ,r a ., - I't
t,6 '
u
.
I
rLap~
ks
X
3
^4clllp
S/c/F
t-
io
/a
Ja//
~~Ja~~
Tn"
4,QM1
7-~~~as~~~
e
b~kla-
V,0.1 / - $C - ,SW4-1syae;;c- IZ
reAl""
oioey-
co'z a #
ci
ei,.
/D/am
In
i
AOZIC
c-Ja/
1Li
A0ZJ
c,
7fJZ
da4u)
al/
CdAe
-,
U 1*
0
Oa//
/061
aul-~
V4w/e7<
A6 A&
£xamp.
,
i :
e
6coa//ctn/a sm/fe-
lrznL,
CA,
88
S/C44C o86
kit
17 W/m IK
Ma
0.06
i/htL
F~~
V /,W
W
mnl<
\A/
.t.5le-ne
s3r>fddard
a
I It
.J
p14
m2
l,^1nj
I
K/.V
t"ItK
62
§6.K1
t
0,
o.'s w-z I
u aJI
I
A
I
O.48 W/, " K
0o oz71
WJ
1 /J
7f-zj;,,Ze-~Oa / /"&':
ctwlv6ve
is
-
O-
O.os8 1
Trow It eW11 :,
Pc e
ra~ltA
yj
,-u
ft'~
law-5 .
lbekf
4
ao/tlnrp
o..s
olf
(
Ile
<)
I
Eo
5t
>zo mI a,
L6
c)
o
I
I
o
cO,
Lo
Q)
a,
r
a,
'
E
c
L0)n
" 0II
NE
I
'r
a,
sB
o
C
ac
CO C4
.
0 o
r
II
oa,
E
c.,
000
ONJ
c-a,
a)
CJ
EN
a,
LOO
6E
L.
co
I.
o
E
c
E
E
(D CO 0
o
O
w
o
0d
0 0
-O C
nLO
.0o
E
0
I-
cu
aI:
cu
c~
4)
- 41 =
a
:3 D
'F C
D
.
I0D =
\ cN 0
a,
L0L
E
2 II
L C\i
1~
a,
o
E 1
-
II
0)
0) LO
c
-- C
o~ o
__r
,
00
=0 1
E
o
"o
CO
'
ca
a,
4
co
0C
r-
II
11
'
O
E
-0. (6
0
ci
C\J
o
C,)5
Z
A
-4
LO C
YY
L
CJ
CM
E
E
Y
cM
Ci
E
E
I
oo0
.-
CO (o
0
0
N3
6O
Co
CO LOCD
x\
0
ci
co
'
L
0
0
.0
r-
0
h.
I-
-La -n -a
E
E
N CQl00
*
.c .
I
D
)
D
3:3 D
D
D 0 =
\
37 oar prealic
C6en2
e/AcrJ3
1,
61?
/2
clf p6ec9
X
aOzn
Tt
T
d
6
o/
A
4rG
tJ
)
AI
,/I,, h I
teree
At,
7L Lca.,$
,
as85'
,/
2. 7
/kl
L
c
L lirplace T . ,ACL/A- me7? A 0,
/IF
.
si
ef se
L 1
/ezvp
/cAIcair
lr
j,,4
4,a
T, n., n t i. I
t
Aowk
1 l.A
4
,I6akJ
l Xo
g
.., rI (f
DiJ.
Oe
Sr Lllea
a-/et4
az
L 4
et
s 4,
tie f/,
t-/
I
&j
TM-
/I
n r
,an
II ,A
k5ui;
&IAhfDf
3
A
C
IW
(L5
x O
/1,,,2/rA/
er/c/ uc,-/4rc tA
sou s aitJ /fW
ALI
se
IAe
1'
TSA
eo kere
TSA
s/8
a
Ala
cJrlcrA
--
I
')
rh" Jw
- M/Pc
T^,Ie
f
laexI
,
4
,t
Tal-11 OJI
-
t
TSAWOL11(
Lw
1
heyJ
'*AS,AiocJ: ~
O'jo-J- -*
s
SC
t
U
-
( L d4
Re.,
6(
.,
E4
j
W~o,>1,
pt
v5
TK,
ib
eJ
a
52*1
%&
s5 o I
pace_
orlvZl
Mel~kJ Ad If yl-br
I
oIae ei
au
far
of iA
4amvxo1Zf a k-Zf
4e
do
-
tA
I
USiA
CIL
e
It
ceJot'Li
r~~r
,f
kar,
;074k
7L-w
T/W /E AltX X
a
Ao
'lkAt
+ Z
II
f-.
TSA,
C
f4tl
2?
It
I 2/4/ I0
-I SA
4
fb
L4
izer
. ,-T.v
L l
vivo( er4
g R"
tb
-wTSAc,i,
r
I SA ,,,cj
f
R21
WJ,
RK
LA f {JI
tdlk
,
Ir
J.,
L
ok
JJ
RN
K-,
71 a'. I1e
4 LeC 4 lA
6 3e
'H-
WA,
L
L.
4
cL Jr-ee ¾e
fAn eJa
a R-~
~,kl I
YssAT 4eo
CLCd
ra
Ianer
slt-or
iC
ii~wfc-
A,'4
irfc
eAQ
%f5
s
widn-Wl/tlllo
rn t)
; L
Y
4 "limit L oalrlclej &JIfla-ld
a
AC 44C U5H.
z
i AL
ft
(
S5S
L
u7
0th 'OJ Au
JONK
cri-
#
TSA
aye(
Q
_
T
+
·S-cC"
·
-t
01J~n~
c26~
2
' .J^ jis
,.-deU e
Mm
i
LL4J h 4-
J.
%l.C-.e
GowL
6t
/recc
el
%.J
-d40
I)
delo,,t
iz
,ls~t
etyLl/k-
I
d
c-J I
1 I
R ,paS
Pf 4
- " -i~
Rg· · W
To J
+
K
Rs
·
[S
Z-j WtoAdho, Uw*lazd
dz1
ILJ
(
'I ·
-e
,
li
A ,3Pc"
U;11-L
U31Azj
(I,
I
U10 I'&
L A 1J,
f~t i
1=
i
-
K
j
SC
)" w
k D-Z,4E)L
,S
(_
oe IFL jd it 1
L-
t,
1-MA
; aid-1
1 [-it
t
q~e~t
wo- tL
ecL JI-A
2Ran··TA x L
i
We cot'Al louf
4refY,&" 107l, i f
1. +ff
I-skoxe
.
lWL.-"llLZ-
A
zlt~h
[Tor4 f
R
I
T J+
tg
TM-+*~
'A
&~4
fl "
;
T
- Ji
_,1 I
I
u a AR"
3
,
Q
vLI&3
RI," AJO-13~~~~ Tc ( I -
,lzA
RR
-Tozt
L
9;,Ujl
I A Lj,,,L
K
4
*+
TAt_.Jk
_j~
£Jt
VclL\
K
Rjdr-
'I
i
tLI
,I 2 ,St
+- 2
Rj,44z
I KL
ok
2
T
6
TrA,, LtJJ
0 t
R24)AI
C1o
L,
i
A
Jl
1
J
Ts A I lerwLld3
t
-7
'k
t
I;
ealAs
'T1
IC
I
ai
RK(
R
Tt (
4
W"^~~
9
I-
ilq rtne--
R-,^bw
r
41
T rL,JJ)
A
R
-1*J,(LJ
IIO1lk
I
I
t OmLz
Ie
Rr
kR
R
TS, 41,.a
-I'
11
-4 Z
4
R &U1) k
T5 A 4-1 ;IC
IR
w I
J'acL exc-s~
14e4 SL
1 & o
le
4 2 Ic,/
Q~al
lw lD, / Mas
,
/I% C
LJs
O
2
sat
14
1
Io
/
,
-3
(lo f)
4o J
10 .K a;,
1zlC1 is
IYS
taeslS
Ia
/k
I
6.01
J,f
<(
a
.
46W
h
I6 3
Go
A -Cdc +
cha4lLL- g Ilka"
vnZo/
fa
/C
2 H
Y-·
I
lIlfwe{
- 12a
C
Wd
Aax" I
I 66
L i&-
r ss- a hnf /tu,111- Il
rARcSe/A
/IvbaJ
ol,/)ICAJcL -2
Ix,,,o a-c.,l
It/.
does
401
/DL
/ (/
Ie
,,
ZJr
,c~z~
A-r6
,'7·
rjA,:2
AZ44-s
-2
2
-/TO-J~~ A
/6 _
/lSU)
er
aL
to I a
X~c
e/f
Lernu
D
mA n
A
/
go,
C, 'V
/
/f
IA"
A
m
rk / o/7u
tqd4 ; /
-<}
/
1Jc
1•
< I
/-r
for
.?
ac/,
C
M1"C:
c/Ctt/ak
/ ,o/A
-,
.).
-
SABA
of/Ae
cfapCa
(cM/
a ov iXe
l
bc"
Pe
sbr,-
7,
a,
A
f ^also
/a
a
,
r
eA.
7:
C.
sam
X) ej at Lu
71-e-
aA
saw'ei
4
Aa4 641,j
fB
/A4
7a-4/ asd~ol
r .
6a's
oe
S/I
fJ
C
14 gdl X00
-
o6/lel
1/Ac
4
x
aA4ASW-
/IX
/.
41
4.;
ce
I'le-e/
Azb
W~
14ls~
a &w te,,
xioele
.47.AC
all
C41Aa~t-1
di�e
&caaz6rl
l4et~iCL4/a0.
I
hAeS
"·
Gr, I
>~~~~~~).
C-a, p.
14l t/a Ire·
Teealoe
I I~~~
:i 'o W0C Ak/ w/iU~,
U
Tl4t ,)la-r* $ / &(4A
6
ILJs
uzc
_
C ,:
?~
yr
'. >
-C
c,,/ _ I / /~/ o¥
,~~~~~~~~~~~~~,
D~~~~~~~~~~
Or
0,
/47
/
A
/A ,C/
A1
I
#aSc
*Z Co'*/e
1),tooels
1eee-onnle -
I ,
our
cC
14
cl?&( cl/4
/e
TOMJ- ,A.
C
4
Ct
C/TrcL /
a
alic /O
K
�TT�
'A
6L\2lL
Ir
C
6)e
coa
/AC/J
fi
2.
acdJ / oWr
rA64
3
Ae
C_
tly-
-
cose lrvWa
d,,Rei-XAcl
f.MA
ff<¢
6Ca'
eq2~
,
/AX
X
kXYve4/
~EY/
~,
-lr
-
7'
d
aa
q so.le
_I
X
F/66CS-
eJ
d~i
=
I
A rWlV
Ca tr
;(
ofa
1'
n
7m,
R
Ta vaA
a
3
cn4
AdCcIO
Crm
4//crh
tC~qal/A
~
d:
t
-T)J Tair r Ito
1
cVaz
nw
Co
*1
S
.
la .VL
At
, a r
Ir
C zar
+
ir
)lt
dt
K-hw
-
- L)
4/
1
'1j
I-I
Eoz/ 9LcV7
hak J
mrqe
AO
gen yAarc aore
s6/uk,
/
r-
r
-
jTe'c~i
4'Il
c
TLr
Tel al(4
tlrekeo .1rh
TR"4--CJa1
A t
Lv
TR W
Ave
/JC
O3A/
11/
a
J/11 ix re
cO le .
r,rJ,
/el it~ cru
(f
ma,5t
C
Cla
,
sue a-lirevJCd
f/
TM-rtm -
=
ib
Rme",
CC.
T7jj -. -in,
TnJ z T6
4. A),1
.'
/W
S
fe -rr 0-'90
4~
YC~W
,R,, 2
7RLA341-
On
f
k
64 r-
-I
I
4
O
A
)
I
Jt
I
72
Ca
he
l
4
ca KmI +
_lKhJ)
-
(O
r
Iso L
O
o
6.T Ve
A
I
7
0
0
la
I
-(ao RW
I
-vr
T
TLi4
I")
oris
I I
c9
1
lC,~
_ AD
I_
I \
-A C'X
40
LC±L
CAc,
Q
j( A
clt
6.
B
AT -1 4-
St)Kt
lesi [;u
SlMoPe pLL~.
o LA
S1016A
tip LJA
ge4 Jl
0-~hd
. I
L
a
,1
6OASJL he ocJ1
4
-16I4t6TO
6MqeAe-
o ^ O
( I e
prLIL /
lcjc
udke-cr
6
e 6o1
4
SISJ
are ALLh+
IT,h
j
Ir
C
7,1
T,
561clrwn:
1TlA
1
T
oAIv
Li
IA
:1 TA/
,Jc
c
C
x
ol fwc ,;I-L
r1
&VM?1~e
if
the
AterJce-t6
,
Se
ac4ti,le
1
XA T,~,- -.
- ~- ce__T,~
T
tFh der o # an
(>1 He
- 14
Je v cl-li &~,i-r~
ther
??
,ra1 115
,TY
At
6 laJ ci
4A Il
at + A-
At
cte ,,fdo
W
,_-
)Lot
bC$-lf
of prKlen.
g,
/
,f es I
kol-lS
bra<;
L
AravLiLe
,
Aj
p\/irne
J ,
CYa)CJXVt,
(2/scz11c,
1I
7IneorS
1w-KimJ$,:J5
, J
.t
a
No,
vc]
d
- -k, Irorl*
i ll, nb
,
cparvn
z
w,3
~~w,;>
L
kPI
x eLpoAy \A1a
Aen
le Jevel i~Is TcxlrT
·a
1d
.
iCY
TtGte
&JD
3al JC,
p/o
IAI
lJ
ol
4
ke L960 ', AFd
Tta
fe0Cpa
- 4
,
6,~
' t
'
JC-.,7Z)
ri ~
Azt
-4
()-t
x(t) e "
-))
~iSA
6·
X5 A,tyA
IT = A
t
- ""~
ifd_T t
Tr o)*
C-3 ;eA6')~
eCA (L-y)
II
7
e A
e
i(e x(~)137
"T'ro'
A,~rs.
_'(I- ,~ )?-'IA C~.~
eALL) T(ot
e 4(,t) To() I
seai ct urge
A (t)-t-
- 1t)
I
d~
C
(
T(o)
t/2
C
Vr
-
/;z) < P. 06L3
WWIO.L
..
/
..
-,
Compute wlls arame
: index of zone
2.2.
cA! zne
r
j ; index for adjacent one
m : index for wall in zone i
] n: index for layer in wall m. Numb4ering of layers from 1
I
to
rN rom outaoor to naoor or from adjacent room to
room considered.
i
i
2.2.1 'i External
ail
Wall mis external if in connection with any surroundings.
Represent the all by a 1st order model (fizure 2).
r
·
IRo iAl-,
,
t
S.
m
Ie%
.
.
I
J,r
!
Z
Cm
R.,Iw?
0
Ia
-
_
&
-----
.
1
=-4
,...
Ic.Z
.10
Ii
II
II
Figure 2 : 1st order model for external vall.
a.
1
outdoor air layer resistance : Rmo =
h out = -
Am hout
layer n resistance
: Rn
=
emn
----
Am kan
= fmn Am emn cp an
layer i capacitance
: Cn
i'
i~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~I
9
s
t C"-U
z -~
I
I
/
I
.
'
1
; man(H-l)
indoor Mair layer resistance
=
in
= -
Am hina
m
General'ly, all layers of wall m present the same surface. 'It is
then
aszier to compute layers and walls parameters per unit area
and introduce areas only when the zone models are constituted.
b.
. derall;arameters
wall
, resistance
| Overal.' :
Overall resistance
: ,
:Rm= r
Overallt capacitance
:
n
Bn
a=~~~~~n0'
= N+1
N
I
i
Can
!
:
Accessibility of capacitance
.3
Ca =
:
p=
es=l- r
Rm Ca'
n=A
Time ccnstant
2
; tm = e(l-ema)R
Cm
2.2.2. Internal wall
Wall m is internal if both sides of it have the same temperature.l It may be a wall completely included in a one or a wall
separating a simulated zone and a nearby zone which is not simu
lated but whose temperature is assumed to vary in a strict simi
larity with the simulated zone's temperature.
a. . Frst represent the wall by a first order model
procedure for external wall). Thus compute Rm, Ca, Gm.
b.
. Define 2d order model (figure 3.)
10
(see Ner C / I Rrev ncarc Hal
m/I
ree
: I-e
zollallA
f
t~~~~t
-T
--
IT I
'
'v/-x-
l --[
Car
c.
I.,
Cacir
IA
uIr
jAK
Ioess4
aj
sf
re
lur
lo
tTJ ca-~
P4VA 1//Imal
Ala/~ Vpowlaa
R
rlv -
/5
-'Ae
I.
CT cevre noi
/cI
eP e
I-e&
/
6A /
11reus
9
1-1~)ZI
IZW
~t~~621
R.
I
Is
/,2
1g,7$/
//e, }IA
leJ
Je4rl
W--~
7
1'4Y/sum
5AJd L
:
btDA
w
brcC
t -/
1. F t"4
0L,
AT
:
Lf
rm cIj,
nxb-
cj424-1
(rLLi
emjr
T it
Sbarn
4
SJC
crI q 4U(
- SfccZ0
eriJ
r,
C
If zt
4
XI
...,
C0fLCTc
C-
e
l
Laa
4
C
c J
i
cA
6zlJ-1>a4
\Jjvr
VL
Um (Ad
beLc3
bL
LJof
Melcl
i
4
1
&
ktf
(,a)
X
a ^J
4
%1CA.L
rlt d
t"l~
15 r~d1
l 1"W
e-~is
L
4a
e w[u~l11
tflg~ aLke
F-r
11 npui
a
Ld
tio flre-ele-t
dlLjac�
t
Ib
l1 t
tMUA+
.
..
c
X
IAda alJIe
txLA s Reoou. a
Response to outside temperature and solar heat gains
a)
0
tO
oa
0)
a)
0
E
.)
0
time (hour) I
dO.
(
Response to outside temperature and solar heat gains
"n
a)
o0
c
co
E
Cu
CD
0
time (hour) Air, Mass and Wall Temperatures
^^
a)
a)
a)
a)
E
0)
u
3U
lU
1
z
oU
time (hour)
i0
6
4U
40
In
bu -I4-&- A '
/7.e9~~~~~~~~~~tv~~~,
II
tLW
77
1tM.,
/
re,,,ce.
I
dt
Ay
A
c d T,
9
ic
1RK
TOdt
T,9
(7-
V/
/0//.4LI
,)
Rc- ^
s
dt
--
i 7,-k
AA4r M
Ap/ac"Z
( / f# 1) 21
s)
//Do
are)
-5
r(
7T (5)
_
IL5
.
So/ve
,:__
Ale
I
ode
i
J
%6r
/I
9
To
7
/
2I
eJ
e jeo
e
-5
lo
CA w
If'1/3 U-
O
el
/ "r
1
li4lraj
e t/ (
d~df
-,7)
dt
c,4 (e '/I 7-\
J
Z-
E Q c I '/
) I
C
'/^ 7,-,
W' "j2)
e
J.-
0-
c
/ '
I'
e
e w
7rfx11
2I
( J
p,A
C
-> AIo/C h(
-
A
sea
/oi,4
i/,aeat
A
oSke sp/wt
s5Jec
6
t
/W
A47
Sij
W11 MWe
,,, Jae
J
1\6e
/2
')
T7 (t o)
,,/I , M,
C e
+
If
/S avJrto
6.ZL I /
A*
r (jo) eA
tXL
kS s tam, a
I
/raeJ
,e
fle rePitvse-
P
-4
I
e,;A,
S
J ci. .
IleAaLe, t
foK
/
q
j
'Jg " I
-J)
4 I1
-j32
z
2
2
c3 ."
Ali
I
A L&) e
7
7-
VK- t
An(S)
e,£ere
+
J ' E"
/
2.t*.
~C3
7-- CoxsdCol
for
;E - )
/,",
A(CJ) )
l.AI"J,(
-O
-3 O
2o /l A
20 /loA
I
)
'/
C ''
aj
11-2:C
>
v,
/
A (4) ) :
A{
r%
6i' C
20 /O A
- ZO o
"
C 7
-20 /0o
0g c)
-
olde.
-ZO(/0o
eJ
S /I
CZ
aA
40
/O
$
&L /
- 20 1B /ec4 JG
r
/ 41C1pZ
Z
IeO
aiA/"
/O/
aC
4iI eA,
J
./
0C /t3c
r
J
t
2O
0-5b"TWe-
'A ,/
0
I--
-
.
o/?
Idf/s
liZ.
_S Y
---
-'
AJot3
COSA /
>"
4tlL6/e
.kIa
1
-
-
A3AI4A/A
Tl6k
,ol
O
uc r
Q
r
T0
Y AC
eJ<)
-
16
-ZO
- 46
I
·
. I
I
_I
1
-
s
O
- 90
't'A/
(- e. O
~ 0o
-
3
-. 0
0)4a/
/Al 51//
CoIes
0
3L0 °"50=I
2I
=-;, o1
~36
/
2' C
/f
,
(-?
pcz,
r,
/0
ar
5z,
%4
AX
:
vr
g
t-s
//,r
ceax
okoa
a/lrplc of ZOa
OIf 360O)
Px raoin
T"d�:~//$"��
Is
7An,
ao/.iC /A
. 7,, e apn/,/-iAde'
,aI,
6 U4ts
ALre a enoc !of
7-zJ
/A
3
AoSe ?
Ace,,004.
AL
/shr
/&
os
O 4/
' 'o-
.:
ouS
fa"A4
7TJ peal
c/u/
Tof
,f
anplPAJc
e.XL
/is
ecd{7ca
/
t
reLeId
At
0 / 4e
Related Documents
- L28: I-V Characteristics (Cont.): Channel-Length Modulation, Sub Threshold Regime
- Generalized Energy Variables
- Wing Bending Calculations
- The Concept of Noise in Robust Design
- Lecture 2 Notes: View Factor and Simple Radiative Transfer
- The Dirac Delta and Unit-Step Functions
- Lagrangian Dynamics: Generalized Coordinates and Forces
- Session 20: Electrospray Propulsion
- Lecture S1 Muddiest Points
- 12.005 Lecture Notes 5
- Design Probe (Hematra)
- 6.012 Recitation 25: CMOS Cascade Amplifie
- Equation Sheet for Quiz 2
- Background to the Second Law of Thermodynamics
- Lecture 11 - MOSFET (III): MOSFET Equivalent Circuit Models (Annotated Notes)
- 2D Motion of Rigid Bodies: Falling Stick Example, Work-Energy Principle
- 16.323 Lecture 4: HJB Equation
- Gas Power and Propulsion Cycles
- 2.161: Lecture 20 Notes
- 16.06 Principles of Automatic Control, Lecture 23
Thermal Dynamics and Solar Heating
of 71
Recommended Documents
Report
Tell us what’s wrong with it:
Thanks, got it!
We will moderate it soon!
Free up your schedule!
Our EduBirdie Experts Are Here for You 24/7! Just fill out a form and let us know how we can assist you.
Take 5 seconds to unlock
Enter your email below and get instant access to your document