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Heat up the sample volume up to 36, make sure with a certain value of temp is

maintained

Assumptions

- We have the same amount of ow in the system, mass ow is constant

in the system and inlet- Incoming lood will have a constant density

- Assuming no speci!c heat capacity, no heat transfers to the environment"material with high isolation#

$% &lose to perfect isolation and very small heat capacity of the F

'% &onstant input temperature3% &onstant input mass ow

How( Idea of the physics relating the power and temperature

)*uation for descriing the intermediate state, stored energy of the

system

Q=ctm=[ JkgKKkg]=[J]=[Ws] Qstored=cmd t

Input e*uation

P=VI=[W ]= E

t=[Ws

s ]

1W*s=1J=1Nm

Amount of electric power applied shouldn+t increase in a signi!cant value the

temperature

ensorHeaterlood

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utput e*uation

Qout=cwmt=[W]

)nergy alance

utgoing energy. incoming energy / stored energy

Qout=PQstored

peci!c heat capacity of water

0e*uires *uite lot of energy for heating

c=4 .182KJkg100C

1lood

cblood=3167 kJ

kgk

cb=c

sc

w cs=0.9

2ass ow m [Kg

s ]

PC=mT+

md T

dt

Pc =mT+mT

P

cm=T+m

mT

utput of the system - T

Input of the system P

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ransfer 4unction output5input

1

cmP (S)=T(S )+m

msT(S )=(1+

m

ms)T

(1+mm s)

cm

G (S )=T(S )P(S)

=1

Ks= 1

c m=K

W

T1=m

m=[s]