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Heat & Mass Transfer - acharya ng ranga agricultural university

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as the ratio of the overall temperature difference to the sum of the thermal<br />

resistances:<br />

T1<br />

−T4<br />

T1<br />

−T<br />

q=<br />

=<br />

1 ∆x<br />

A<br />

1<br />

+ +<br />

∑R<br />

h A K A h A<br />

∴<br />

4<br />

i<br />

A<br />

The overall heat transfer by combined conduction and convection is<br />

frequently expressed in terms of an overall heat-transfer coefficient U, defined<br />

by the relation<br />

q=<br />

U A∆<br />

T overall<br />

o<br />

where ∆ T overall<br />

= T 1<br />

−T<br />

4 and U is<br />

U<br />

1<br />

∆x<br />

1<br />

A<br />

= + + W/m<br />

hi<br />

K<br />

A<br />

h<br />

2 .K<br />

o<br />

value as<br />

The overall heat-transfer coefficient is also related to the R<br />

U =<br />

1<br />

R value<br />

A more important application is heat transfer from a fluid outside a<br />

cylinder, through a metal wall, to a fluid inside the tube, as often occurs in<br />

heat exchangers.<br />

boundaries.<br />

Figure 5.3 Resistance analogy for hollow cylinder with convection

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