{UTF-8}
change in metal temp=
	(heat transferred from water to metal-heat transferred from metal to water)/(mass of metal\
		*specific heat of metal)
	~	
	~		|

change in water temp=
	(heat transferred from metal to water-heat transferred from water to metal)/(mass of water\
		*specific heat of water)
	~	
	~		|

final temp=
	(mass of metal*specific heat of metal*init temp of metal+mass of water*specific heat of water\
		*init temp of water)/(mass of water*specific heat of water+mass of metal*specific heat of metal\
		)
	~	
	~		|

heat transferred from metal to water=
	water thermal conductivity*surface area*(Metal Temp-Water Temp)/length metal
	~	
	~		|

heat transferred from water to metal=
	water thermal conductivity*surface area*(Water Temp-Metal Temp)/length water
	~	
	~		|

init temp of metal=
	100
	~	
	~		|

init temp of water=
	20
	~	
	~		|

length metal=
	0.01
	~	
	~		|

length water=
	0.04
	~	
	~		|

mass of metal=
	0.2
	~	
	~		|

mass of water=
	0.5
	~	
	~		|

Metal Heat= INTEG (
	heat transferred from water to metal-heat transferred from metal to water,
		mass of metal*specific heat of metal*init temp of metal)
	~	
	~		|

Metal Temp= INTEG (
	change in metal temp,
		init temp of metal)
	~	
	~		|

specific heat of metal=
	0.907
	~	
	~		|

specific heat of water=
	4.18
	~	
	~		|

surface area=
	0.0044
	~	
	~		|

Water Heat= INTEG (
	heat transferred from metal to water-heat transferred from water to metal,
		mass of water*specific heat of water*init temp of water)
	~	
	~		|

Water Temp= INTEG (
	change in water temp,
		init temp of water)
	~	
	~		|

water thermal conductivity = WITH LOOKUP (
	Water Heat,
		([(0,0)-(100,1)],(0,0.561),(10,0.58),(20,0.598),(30,0.615),(40,0.63),(50,0.643),(60\
		,0.654),(70,0.663),(80,0.67),(90,0.675),(100,0.679) ))
	~	
	~		|

********************************************************
	.Control
********************************************************~
		Simulation Control Parameters
	|

FINAL TIME  = 3
	~	Second
	~	The final time for the simulation.
	|

INITIAL TIME  = 0
	~	Second
	~	The initial time for the simulation.
	|

SAVEPER  = 
        TIME STEP 
	~	Second [0,?]
	~	The frequency with which output is stored.
	|

TIME STEP  = 0.015625
	~	Second [0,?]
	~	The time step for the simulation.
	|

\\\---/// Sketch information - do not modify anything except names
V300  Do not put anything below this section - it will be ignored
*View 1
$192-192-192,0,Comic Sans MS|12||0-0-0|0-0-0|0-0-255|-1--1--1|-1--1--1|120,120,100,0
10,1,Metal Heat,311,212,61,72,3,131,0,0,0,0,0,0
10,2,Water Heat,665,209,65,71,3,131,0,0,0,0,0,0
1,3,5,1,4,0,0,22,0,0,0,-1--1--1,,1|(420,254)|
1,4,5,2,100,0,0,22,0,0,0,-1--1--1,,1|(540,254)|
11,5,428,474,254,6,8,34,3,0,0,1,0,0,0
10,6,heat transferred from water to metal,474,316,118,54,40,131,0,0,-1,0,0,0
1,7,9,2,4,0,0,22,0,0,0,-1--1--1,,1|(543,147)|
1,8,9,1,100,0,0,22,0,0,0,-1--1--1,,1|(423,147)|
11,9,172,481,147,6,8,34,3,0,0,1,0,0,0
10,10,heat transferred from metal to water,481,183,97,28,40,3,0,0,-1,0,0,0
10,11,Metal Temp,321,505,68,47,3,131,0,0,0,0,0,0
10,12,Water Temp,687,511,66,47,3,131,0,0,0,0,0,0
12,13,48,304,775,10,8,0,3,0,0,-1,0,0,0
1,14,16,11,4,0,0,22,0,0,0,-1--1--1,,1|(307,610)|
1,15,16,13,100,0,0,22,0,0,0,-1--1--1,,1|(307,723)|
11,16,48,307,674,8,6,33,3,0,0,4,0,0,0
10,17,change in metal temp,389,674,74,28,40,3,0,0,-1,0,0,0
12,18,48,707,771,10,8,0,3,0,0,-1,0,0,0
1,19,21,12,4,0,0,22,0,0,0,-1--1--1,,1|(706,608)|
1,20,21,18,100,0,0,22,0,0,0,-1--1--1,,1|(706,716)|
11,21,48,706,664,8,6,33,3,0,0,4,0,0,0
10,22,change in water temp,791,664,77,28,40,3,0,0,-1,0,0,0
10,23,length metal,492,58,58,15,8,3,0,0,0,0,0,0
10,24,surface area,268,78,62,14,8,3,0,0,0,0,0,0
10,25,water thermal conductivity,764,85,69,28,8,3,0,0,0,0,0,0
10,26,length water,796,301,61,14,8,3,0,0,0,0,0,0
10,27,specific heat of metal,389,824,78,28,8,3,0,0,0,0,0,0
10,28,mass of metal,181,740,67,14,8,3,0,0,0,0,0,0
10,29,specific heat of water,607,827,78,28,8,3,0,0,0,0,0,0
10,30,mass of water,889,761,69,14,8,3,0,0,0,0,0,0
10,31,init temp of metal,184,354,57,28,8,3,0,0,0,0,0,0
10,32,init temp of water,835,385,57,28,8,3,0,0,0,0,0,0
10,33,final temp,494,947,48,15,8,3,0,0,0,0,0,0
1,34,23,10,1,0,0,0,0,64,0,-1--1--1,,1|(465,101)|
1,35,24,10,1,0,0,0,0,64,0,-1--1--1,,1|(367,103)|
1,36,24,6,1,0,0,0,0,64,0,-1--1--1,,1|(425,210)|
1,37,2,25,1,0,0,0,0,64,0,-1--1--1,,1|(785,175)|
1,38,25,10,1,0,0,0,0,64,0,-1--1--1,,1|(608,88)|
1,39,25,6,1,0,0,0,0,64,0,-1--1--1,,1|(606,143)|
1,40,31,11,1,0,0,0,0,64,1,-1--1--1,,1|(221,442)|
1,41,32,12,1,0,0,0,0,64,1,-1--1--1,,1|(789,449)|
1,42,11,6,1,0,0,0,0,64,0,-1--1--1,,1|(434,445)|
1,43,11,10,1,0,0,0,0,64,0,-1--1--1,,1|(326,288)|
1,44,12,6,1,0,0,0,0,64,0,-1--1--1,,1|(539,446)|
1,45,12,10,1,0,0,0,0,64,0,-1--1--1,,1|(657,314)|
1,46,26,6,1,0,0,0,0,64,0,-1--1--1,,1|(655,337)|
1,47,28,17,1,0,0,0,0,64,0,-1--1--1,,1|(255,674)|
1,48,27,17,1,0,0,0,0,64,0,-1--1--1,,1|(420,757)|
1,49,6,17,1,0,0,0,0,64,0,-1--1--1,,1|(466,515)|
1,50,10,17,1,0,0,0,0,64,0,-1--1--1,,1|(419,415)|
1,51,30,22,1,0,0,0,0,64,0,-1--1--1,,1|(796,727)|
1,52,29,22,1,0,0,0,0,64,0,-1--1--1,,1|(665,663)|
1,53,6,22,1,0,0,0,0,64,0,-1--1--1,,1|(579,549)|
1,54,10,22,1,0,0,0,0,64,0,-1--1--1,,1|(607,433)|
1,55,31,33,1,0,0,0,0,64,0,-1--1--1,,1|(103,738)|
1,56,28,33,1,0,0,0,0,64,0,-1--1--1,,1|(302,882)|
1,57,27,33,1,0,0,0,0,64,0,-1--1--1,,1|(425,902)|
1,58,30,33,1,0,0,0,0,64,0,-1--1--1,,1|(742,915)|
1,59,29,33,1,0,0,0,0,64,0,-1--1--1,,1|(575,910)|
1,60,32,33,1,0,0,0,0,64,0,-1--1--1,,1|(959,805)|
1,61,28,1,0,0,0,0,0,64,1,-1--1--1,,1|(236,511)|
1,62,27,1,0,0,0,0,0,64,1,-1--1--1,,1|(353,547)|
1,63,31,1,0,0,0,0,0,64,1,-1--1--1,,1|(224,308)|
1,64,32,2,0,0,0,0,0,64,1,-1--1--1,,1|(773,321)|
1,65,30,2,0,0,0,0,0,64,1,-1--1--1,,1|(791,519)|
1,66,29,2,0,0,0,0,0,64,1,-1--1--1,,1|(632,546)|
12,67,0,1282,232,279,189,3,188,0,0,1,0,0,0
Heat
12,68,0,1299,956,268,164,3,188,0,0,1,0,0,0
Temperature
12,69,0,1286,608,278,180,3,188,0,0,1,0,0,0
Heat_Transfer
///---\\\
:GRAPH Heat
:TITLE Heat
:SCALE
:VAR Water Heat
:Y-MIN 0
:Y-MAX 100
:LINE-WIDTH 3
:VAR Metal Heat
:LINE-WIDTH 3

:GRAPH Temperature
:TITLE Temperature
:SCALE
:VAR Water Temp
:Y-MIN 20
:Y-MAX 100
:LINE-WIDTH 3
:VAR Metal Temp
:LINE-WIDTH 3

:GRAPH Heat_Transfer
:TITLE Heat Transfer
:SCALE
:VAR heat transferred from metal to water
:Y-MIN -10
:Y-MAX 25
:LINE-WIDTH 3
:VAR heat transferred from water to metal
:LINE-WIDTH 3
:L<%^E!@
1:Current.vdf
9:Current
22:$,Dollar,Dollars,$s
22:Hour,Hours
22:Month,Months
22:Person,People,Persons
22:Unit,Units
22:Week,Weeks
22:Year,Years
22:Day,Days
23:0
15:0,0,0,1,0,0
19:100,0
27:2,
34:0,
4:Time
5:change in metal temp
35:Date
36:YYYY-MM-DD
37:2000
38:1
39:1
40:7
41:0
24:0
25:3
26:3