thermal conductivity measurement for poor conductor- lee's disc

7/21/2019 Thermal Conductivity Measurement for Poor Conductor- Lee's Disc

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THERMAL CONDUCTIVITYMEASUREMENT FOR POOR CONDUCTOR .

( LEE’S DISC METHOD )

STUDENT NAME :GROUP :

LECTURER’S NAME : PROF.HANAFI ATAN( EXAMINER )

FOR OFFICE USE ONLY

GRADE :

COMMENTS :



OBJECTIVE

To dee!"#$e %e %e!"&' o$d#*#+ o, & -oo! o$do! "&e!#&' + Lee/0 D#0"e%od.

APPARATUS

D.C Po1e! 0--'+2 Lee/0 d#0 &--&!&02 !%eo0&2 &""ee!2 *o'"ee!2 %e!"o"ee!0 &$do#'.

INTRODUCTION

I$ %#0 Lee/0 D#0 "e%od2 Pe!0-e3 &0 & -oo! o$do! "&e!#&' #0 "&de #$o & %#$ d#00&$d1#%ed e1ee$ 1o o--e! d#00.

T%e 4&$#+ 56 #0 e0#"&ed ,!o" %e %e& e"#ed ,!o" %e 0+0e" 1%e$ 0e&d+ 0&e #0!e&%ed. E3-e!#"e$0 0%o1 %& %e !&e & 1%#% %e od+ e"#0 %e!"&' e$e!7+ de-e$d0o$'+ o$ %e e"-e!&!e #$ e3e00 o, %e 0!!o$d#$70 &$d o$ %e $&!e o, %e 0!,&e.

8e &00"e %& &'' 0!,&e02 #$'d#$7 %& o, %e -oo! o$do! &!e o&ed #$ %e 0&"e"&$$e! 0o %& %e+ %&*e %e 0&"e e"#00#*#+ 9 .I #0 &d*#0&'e o 'e&!$ "o!e o$ %e& o$d#o$ #$ "&e!#&'0 ,!o" !e'e*&$ e3 oo0 &$d%e$ &$01e! %e ,o''o1#$7 4e0#o$ :

;. E3-'&#$ %e -%+0#&' -!oe00 + 1%#% %e& ,'o1 + o$d#o$ %!o7% "&e!0 #$ &"&e!#&'.

Be,o!e %e&#$72 %e -&!#e'0 o! "&e!0 #$ %e "&e!#&' &!e *#!&#$7 #$ %e#! '&#e -o0##o$. 8%e$ %e+ &!e 0<eed o %e&2 %e+ 7&#$ e$e!7+ ( ,!o" %e& ) &$d *#!&e "o!e*#7o!o0. T%e+ o''#de0 1#% %e#! $e#7%o!#$7 -&!#'e0 &$d %0 %e e$e!7+ #0!&$0,e!!ed ,!o" o$e o &$o%e!. T%e !&$0,e!!ed o, e$e!7+ &'1&+0 &e -'&e ,!o" %e!e7#o$ o, %#7%e! e"-e!&!e o %e 'o1e! e"-e!&!e.

Co$d#o$ o, %e& &e -'&e #$ &'' ,o!" o, "&e!. I$ 0o'#d #0 de o %e *#!&#o$ o,"o'e'e0 #$ & '&#e &$d %e e$e!7+ #0 !&$0,e!!ed + ,!ee e'e!o$0. I$ 7&0e0 &$d '#4#d #0

de o %e o''#0#o$0 &$d d#,,0#o$ o, -&!#'e0 d!#$7 !&$do" "o#o$.



=. E3-'&#$ %e "e&$#$7 &$d %e -%+0#&' #"-& ,o! %e *&!#&#o$ #$ *&'e0 o, A2 T>T/ &$d? 1#% !e0-e o %e& ,'o12 h &0 0%o1$ + e4&#o$ ( @ ).

F!o" %e e4&#o$ h=kA ( T – T’ ) , h #0 d#!e'+ -!o-o!#o$&' o A &$d ( T – T’ ) &$d

?

#$*e!0e'+ -!o-o!#o$&' o ?. He& o$d#o$ o!0 #, %e!e’0 d#,,e!e$e #$ e"-e!&!e e1ee$ 1o 0!,&e0. B&0ed o$ %e e4&#o$2 & '&!7e! !o00>0e#o$&' &!e& !e0'0 #$%#7%e! !&e o, %e& ,'o1. Me&$1%#'e2 '&!7e! e"-e!&!e d#,,e!e$e ( T – T’ ) &'0o &0e0%#7%e! !&e o, %e& ,'o1. B %e& ,'o1 #0 0'o1 ,o! & *e!+ 'o$7 ?. Good %e!"&' o$do!1#'' %&*e '&!7e %e!"&' o$d#*#+ *&'e2 K.

@. E3-'&#$ %e -%+0#&' -!oe00 1%#% 'e&d0 o 0e&d+ 0&e #$ & %e& o$d#o$e3-e!#"e$.

T1o 0!,&e0 #$ o$& 1#'' !e0' #$ %e !&$0,e! o, e$e!7+. T%e %e& #0 !&$0,e! #$ 1od#!e#o$ %o1e*e! %e !&e o, %e& o$d#o$ ,!o" %oe! 0!,&e0 o o'de! 0!,&e #0%#7%e! %&$ %& o, %e o'de! 0!,&e0 o %oe! 0!,&e. Se&d+ 0&e #0 !e&%ed 1%e$ %e!&e o, %e& o$d#o$ #0 %e 0&"e #$ o% #$ &$d o d#!e#o$2 1%#% #0 1%e$ %ee"-e!&!e o, 1o 0!,&e0 &!e %e 0&"e.

. E3-'&#$ 1%+ e"-e!&!e & 0e&d+ 0&e &$ e de!#*ed ,!o" %e 7!&-% o, T &7&#$0 ;6t.

F!o" %e 7!&-% o, T &7&#$0 ;6t 2 %e 7!&-% #$e!e-0 1#% +>&3#0 1%e$;6t 2 1%#% #01%e$ &--!o&%#$7 o #$,#$#+ ( ) . T%#0 0%o1$ %& %e e"-e!&!e #0 0e&d+ &$d1#'' $o %&$7e 1#% #"e &,e! o$ded ,o! & *e!+ 'o$7 #"e.

. E3-'&#$ 1%e%e! #$0!#o$ o o$d e3-e!#"e$ ,o! 1o d#,,e!e$ *&'e0 o, e'e!#&' -o1e!2 P 1#'' -!ode &$ e3-eed !e0'0 ,o! %e oe,,##e$ o, %e!"&' o$d#o$2 k o!o%e!1#0e.

T%e d#,,e!e$ *&'e0 o, P doe0 $o &,,e %e !e0' o, %e!"&' o$d#o$. I$ ,&2 %e*&'e o, K 0%o'd e %e 0&"e ,o! &'' e3-e!#"e$ e&0e k #0 o$0&$ 1%#% 0%o10 %e -!o-e!#e0 o, & %e!"&' o$do!. I #0 #$d#-e$de$ o, e'e!#&' -o1e! 0--'+ de-e$de$ o$ #0 +-e o, "&e!#&'.



LEE’S DISC METHOD



DATA

THICNESS OF THE DISC ( % )

DISC ( "" ) %; %= %@ %

A ;=. ;=. ;=. ;=.B ;=.= ;=. ;=. ;=.=C ;=.; ;=.= ;=. ;=.;

Pe!0-e3 d#0 . .; .; .K

DIAMETER OF THE DISC ( d )

DISC ( "" ) d; d= d@ d

A ;.= ;.@ ;.@ ;.@=B ;.@ ;.= ;.@ ;.=C ;.= ;.@ ;.@ ;.@

Pe!0-e3 d#0 ;. ;. ;. ;.



Table 1 : I = 0.25 Ampere and V = 2 volt.

Time, t ( minutes ) 1 / t T A TB TC TB - T A

1 1.000 28.5 29.0 29.5 0.5

2 0.500 28.5 29.0 29.5 0.5

0. 28.5 29.5 29.5 1.0

! 0.250 28.5 29.5 0.0 1.0

5 0.200 28.5 0.0 0.0 1.5

" 0.1"# 28.5 0.0 0.0 1.5

# 0.1! 28.5 0.0 0.5 1.5

8 0.125 28.5 0.5 0.5 2.0

9 0.111 29.0 0.5 1.0 1.510 0.100 29.0 0.5 1.0 1.5

11 0.091 29.0 1.0 1.0 2.0

12 0.08 29.0 1.0 1.0 2.0

1 0.0## 29.0 1.0 1.5 2.0

1! 0.0#1 29.0 1.0 1.5 2.0

15 0.0"# 29.0 1.5 1.5 2.5

1" 0.0" 29.0 1.5 1.5 2.5

1# 0.059 29.0 1.5 1.5 2.5

18 0.05" 29.5 1.5 2.0 2.0

19 0.05 29.5 1.5 2.0 2.0

20 0.050 29.5 2.0 2.0 2.5

21 0.0!8 29.5 2.0 2.0 2.522 0.0!5 29.5 2.0 2.0 2.5

2 0.0! 29.5 2.0 2.0 2.5

2! 0.0!2 29.5 2.0 2.5 2.5

25 0.0!0 0.0 2.5 2.5 2.5

2" 0.08 0.0 2.5 .0 2.5

2# 0.0# 0.0 2.5 .0 2.5

28 0.0" 0.0 2.5 .0 2.5

29 0.0! 0.0 2.5 .0 2.5

0 0.0 0.0 2.5 .0 2.5



T&'e = : I .@ A"-e!e &$d V = *o'.


1 1.000 2".0 28.5 28.5 2.5

2 0.500 2".0 28.5 28.5 2.5

0. 2".0 28.5 28.5 2.5

! 0.250 2".0 29.0 29.0 .0

5 0.200 2".5 29.5 0.0 .0

" 0.1"# 2".5 0.0 0.0 .5

# 0.1! 2".5 0.5 0.5 !.0

8 0.125 2#.0 1.0 1.0 !.0

9 0.111 2#.0 1.5 1.5 !.5

10 0.100 2#.5 1.5 2.0 !.0

11 0.091 2#.5 2.0 2.5 !.512 0.08 2#.5 2.5 2.5 5.0

1 0.0## 28.0 .0 .0 5.0

1! 0.0#1 28.0 .0 .5 5.0

15 0.0"# 28.0 .5 !.0 5.5

1" 0.0" 28.5 !.0 !.0 5.5

1# 0.059 28.5 !.0 !.5 5.5

18 0.05" 28.5 !.5 5.0 ".0

19 0.05 29.0 5.0 5.0 ".0

20 0.050 29.0 5.0 5.5 ".0

21 0.0!8 29.5 5.5 5.5 ".0

22 0.0!5 29.5 5.5 ".0 ".0

2 0.0! 0.0 ".0 ".0 ".02! 0.0!2 0.0 ".0 ".5 ".0

25 0.0!0 0.0 ".5 ".5 ".5

2" 0.08 0.5 ".5 #.0 ".0

2# 0.0# 0.5 #.0 #.0 ".5

28 0.0" 0.5 #.0 #.0 ".5

29 0.0! 1.0 #.0 #.5 ".0

0 0.0 1.0 #.0 #.5 ".5



T&'e @ : I .@ A"-e!e &$d V = *o'.


1 1.000 2".0 2".5 2#.0 0.5

2 0.500 2".0 2".5 2#.0 0.5

0. 2".0 2#.0 2#.0 1.0

! 0.250 2".0 2#.0 2#.5 1.0

5 0.200 2".0 2#.0 2#.5 1.0

" 0.1"# 2".0 2#.5 2#.5 1.5

# 0.1! 2".5 2#.5 28.0 1.0

8 0.125 2".5 2#.5 28.0 1.0

9 0.111 2".5 28.0 28.5 1.5

10 0.100 2".5 28.0 28.5 1.5

11 0.091 2".5 28.0 28.5 1.5

12 0.08 2".5 28.5 29.0 2.0

1 0.0## 2#.0 28.5 29.0 1.5

1! 0.0#1 2#.0 28.5 29.0 1.5

15 0.0"# 2#.0 29.0 29.5 2.0

1" 0.0" 2#.0 29.0 29.5 2.0

1# 0.059 2#.0 29.0 29.5 2.0

18 0.05" 2#.0 29.0 29.5 2.0

19 0.05 2#.0 29.0 0.0 2.0

20 0.050 2#.5 29.5 0.0 2.0

21 0.0!8 2#.5 29.5 0.0 2.0

22 0.0!5 2#.5 29.5 0.0 2.0

2 0.0! 2#.5 29.5 0.0 2.0

2! 0.0!2 2#.5 29.5 0.0 2.0

25 0.0!0 2#.5 0.0 0.5 2.5

2" 0.08 2#.5 0.0 0.5 2.5

2# 0.0# 28.0 0.0 0.5 2.0

28 0.0" 28.0 0.0 0.5 2.0

29 0.0! 28.0 0.0 0.5 2.0

0 0.0 28.0 0.0 0.5 2.0

CALCULATION.



;. C&''&e %e !o00>0e#o$&' &!e& o, %e o--e! &$d -e!0-e3 d#00.

A!e& o, d#0 A2 &A.

A!e& o, d#0 A !o00>0e#o$&' &!e& o, A &!e& o, !*ed 0!,&e ! A = ! A%A

d A = d A % A =

( ;.@= X ; ) ( ;.@= ) ( ;=. X ; )

;. " .

A!e& o, d#0 B2 &B.

A!e& o, d#0 B &!e& o, !*ed 0!,&e

= d B % B =

( ;.= X ; ) ( ;=.= X ; )

;.@ X ; " .

A!e& o, d#0 C2 &C.

A!e& o, d#0 C &!e& o, !*ed 0!,&e

= d C % C =

( ;.@ X ; ) ( ;=.; X ; )

;.@; X ; " .

A!e& o, -e!0-e32 &S.



A!e& o, -e!0-e3 &!e& o, !*ed 0!,&e

= $ d S % %S

=

( ;. X ; ) ( .K X ; )

. E> " .

C!o00>0e#o$&' &!e& o, Pe!0-e32 A’

A’ d0 ( ;. X ; ) ;.@= X ; "

=. C&''&e %e *&'e o, K &$d e0#"&e #0 e!!o!0.



( I #0 #"-o!&$ o $oe %& %e e"-e!&!e & 0e&d+ 0&e o&#$ed ,!o" %e 7!&-%2 T&7&#$0 ;6t 0%o'd %&*e ee$ e4&' o %e *&'e o&#$ed d#!e'+ ,!o" %e %e!"o"ee!.T%e!e #0 $o 1&+ o o&#$ %e -!e#0e *&'e ,o! e"-e!&!e & 0e&d+ 0&e %!o7%e3-e!#"e$2 %e!e,o!e %e &*e!&7e *&'e ,o! o% e"-e!&!e "0 e dee!"#$ed &$d0ed #$ &''&#o$).

C&''&#o$ o, T%e!"&' Co$d#*#+ ,!o" &'e ;2 K ;

;) Te"-e!&!e o, D#0 A2 TA

Te"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ @QC Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% =.QC A*e!&7e e"-e!&!e =K.=QC

=) Te"-e!&!e o, D#0 B2 TBTe"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ @=.QC

Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% =KQC A*e!&7e e"-e!&!e @.QC

@) Te"-e!&!e o, D#0 C2 TC

Te"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ @@QC Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% =K.QC A*e!&7e e"-e!&!e @;.=QC

) T%e d#,,e!e$e #$ e"-e!&!e e1ee$ D#0 A &$d D#0 B2 ( TB > TA ) Te"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ =.QC Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% .QC A*e!&7e e"-e!&!e ;.QC

) Te"-e!&!e o, Pe!0-e30 -'&e2 T0 T0 ( TA TB ) ( =K.= @. ) @QC

) K ; IV ? ( & 0T0 = & A T A )



( &ATA &0T0 &BTB &TC ) =A’ ( TB TA )

( .=)(=)(.K 3 ; ) ( . E> 3 @ ) = ( ;. 3 =K.= )

(;. 3 =K.=)(. E> 3 @)(;.@3; 3 @.)(;.@;3; 3@;.=)=(;.@=)(;.)

=. 3 ; ( K. )

.@ ( .= 3 ; )

K 1 ;.=@ 3 ; 8" WC

C&''&#o$ o, T%e!"&' Co$d#*#+ ,!o" &'e =2 K =

;) Te"-e!&!e o, D#0 A2 TA



Te"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ @;QC Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% =QC A*e!&7e e"-e!&!e =.QC

=) Te"-e!&!e o, D#0 B2 TBTe"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ @QC

Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% =.QC A*e!&7e e"-e!&!e @=.QC

@) Te"-e!&!e o, D#0 C2 TC

Te"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ @.QC Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% =.QC A*e!&7e e"-e!&!e @@QC

) T%e d#,,e!e$e #$ e"-e!&!e e1ee$ D#0 A &$d D#0 B2 ( TB > TA ) Te"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ .QC Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% =QC A*e!&7e e"-e!&!e .=QC

) Te"-e!&!e o, Pe!0-e30 -'&e2 T0 T0 ( TA TB ) ( =. @=. ) @.@ QC

) K = IV ? ( & 0T0 = & A T A )

( &ATA &0T0 &BTB &TC ) =A’ ( TB TA )

( .@ )( = ) ( .K 3 ; ) ( . E> 3 @.@ ) = ( ;. 3 =. )

(;.3=.) (. E> 3 @.@) (;.@3; 3@.)(;.@;3; )=(;.@= 3; )(.= )

.=@ .

K 2 .= 8" WC

C&''&#o$ o, T%e!"&' Co$d#*#+ ,!o" &'e @2 K @



;) Te"-e!&!e o, D#0 A2 TA

Te"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ =QC Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% @QC A*e!&7e e"-e!&!e =KQC

=) Te"-e!&!e o, D#0 B2 TB

Te"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ @QC Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% =. QC A*e!&7e e"-e!&!e =.=QC

@) Te"-e!&!e o, D#0 C2 TC

Te"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ @.QC Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% =QC A*e!&7e e"-e!&!e =.QC

) T%e d#,,e!e$e #$ e"-e!&!e e1ee$ D#0 A &$d D#0 B2 ( TB > TA ) Te"-e!&!e & 0e&d+ 0&e ,!o" %e e3-e!#"e$ =QC Te"-e!&!e & 0e&d+ 0&e ,!o" %e 7!&-% .QC A*e!&7e e"-e!&!e ;.=QC

) Te"-e!&!e o, Pe!0-e30 -'&e2 T0 T0 ( TA TB ) ( =K =.= ) =.= QC

) K @ IV ? ( & 0T0 = & A T A )

( &ATA &0T0 &BTB &TC ) =A’ ( TB TA )

( .@ )( = ) (.K 3 ; ) ( . E> 3 =.= ) = ( ;. 3 =K ) ( ;. 3=K ) (. E> 3 =.=) (;.@3; 3 =.) (;.@;3; 3=.) =(;.@= 3; )(.= )

.; .

K 3 .; 8" WC

@. C&''&e %e &*e!&7e *&'e o, K . K K 1 + K 2 + K 3



@

;.=@ 3 ; .= .; @

.@ 8" WC

DISCUSSION.

;. F!o" %e e3-e!#"e$0 %e *&'e o, %e!"&' o$d#*#+2 K 1%#% o&#$ed ,!o"

d#,,e!e$ *&'e o, !!e$0 &$d *o'&7e &!e :>

K 1 = ;.=@ 3 ; 8" WC

K 2 = .= 8" WC

K 3 = .; 8" WC

ˍ

K = .@ 8" WC

T%e !e0'0 o&#$ed &!e 0'#7%'+ d#,,e!e$ &"o$7 %e"0e'*e0 %e!e,o!e 2 # &$ eo$'de %& %e *&'e o, K #0 %e 0&"e ,o! %e 7#*e$ o$d#$7 "&e!#&'2 !e7&!d'e00 %e!!e$ &$d %e *o'&7e &--'#ed.

=. T%e !&$7e o, K 1 #0 ;.=@ 3 ; 8" WC

T%e !&$7e o, K 2 #0 .= 8" WC



T%e !&$7e o, K 3 #0 .; 8" WC

T%e %eo!e#&' *&'e o, K ,o! Pe!0-e3 #0 &o .= 8" WC . T%e &o*e !e0'0 &!e

0'#7%'+ de*#&ed ,!o" %e 0&$d&!d *&'e. T%e de*#&#o$ o, %e *&'e "&+e &0ed +0o"e e!!o! d!#$7 %e e3-e!#"e$ 0% &0 :>

&) T%e ,'o1 o, %e &#! #0 $o 0&'e e&0e %e e3-e!#"e$ 1&0 &!!#ed o $de! &#!>o$d##o$ed. T%#0 1#'' #$!e&0ed %e %e& 'o0 o %e 0!!o$d#$7.

) T%e #"-!o-e! o$& o, %e!"o"ee! &$d %e o--e! d#0 !e0'0 #$ $o$0#0e$!e&d#$7 o, %e e"-e!&!e.

) T%e!e &!e %e& 'o0 o %e 0!!o$d#$7 0% &0 o#'2 %e!"o"ee!2 &#! &$d o%e!0.

d) P&!&''&3 e!!o! 1%e$ &#$7 !e&d#$7 ,!o" %e e3-e!#"e$.

PRECAUTIONS

;. S1#% o,, %e &#!>o$d##o$e! &$d ,&$ 1%#'e &!!#ed o$ %e e3-e!#"e$ o "#$#"#e %e&'o0 o 0!!o$d#$7.



=. Add & d!o- o, o#' #$o %e %o'e0 o e$0!e 7ood %e!"&' o$& e1ee$ d#0 &$d%e!"o"ee!.

@.A*o#d -&!&''&3 e!!o!. E$0!e %& %e '#$e o, *#0#o$ o, o0e!*e! #0 -e!-e$d#'&! o

%e!"o"ee! 0&'e.

. M&e 0!e %& *o'&7e !e&d#$7 #0 $o e3eed V &0 !!e$ "&+ "e' do1$ %e %#$%e&#$7 e'e"e$ 1#!e.

. M&#$&#$ o% *o'&7e &$d !!e$ %!o7%o %e e3-e!#"e$.

. C'e&$ Pe!0-e3 &$d o--e! -'&e -!o-e!'+ e,o!e 0&!0 %e e3-e!#"e$0.

CONCLUSIONS.

ˍ

B&0ed o$ %e e3-e!#"e$02 %e *&'e o, T%e!"&' Co$d#*#+ o, Pe!0-e32 K #0 .@

8" WC . T%e *&'e o, #0 &'"o0 o$0&$ ,o! e*e!+ d#,,e!e$ *&'e0 o, !!e$ &$d

*o'&7e.

thermal conductivity measurement for poor conductor- lee's disc

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