Page 165 - Mechanical Engineers' Handbook (Volume 4)

Heat- Convection 1 h 2 2 1 r 1 r 2 h 2 1 k h 2
Overall ) 11 h 2 ) ) 1 r 1 h 2 r 2 ) /r 1 k 1 r 2

and with Boundaries T ,2 1 x 2 k T ,2 T ,2 ) ln(r 2 k ) T ,2 ) T ,2 1 1 r 2 1 1 2 r 1
Rate Coefficient the qUA(T ,1 x 2 1 h 1 (T ,1 (T ,1 1 /r 1 ln(r 2 k 1 r 2 1 h 1 (T ,1 (T ,1 1 2 r 1 1 r 2 h 1
Heat-Transfer Transfer at U 2 rLU 1 q 1 2 rLU 2 1 U 1 r 1 1 h 1 U 2 r 2 r 1 2 4 rU 1 q 1 2 4 rU 2 2 U 1 1 r 1 h 1 U 2 2 r 1 r 2

r 1 r 2

T 1

Rate Distribution ) T 2 ) T 2

Heat-Transfer Temperature T 1 x 1 (x x 1 T 2 )]/2 kL r r 1 T 2 4 k r 1 (T 1 r 4 k

and T 2 )/kA x 1 T 2 x x )/kA x 1 T 1 /r 1 (r 2 T 1 ln ) /r 1 ) /r 1 T 1 1 r 2 1 r 1 r 2 1 r 2
T 1 (r 2 2 kL 1 1
(x 2 T 1 (x x [ln T 2 ln ln(r 2 r 1 1 r 1

q T R q T R q T R

Conduction

Heat
One-Dimensional

8 wall cylinder sphere
Table Geometry Plane Hollow Hollow

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