Boundary Value Problem Formulation

9 Hence, the boundary value formulation is suumarized by

dTij dXj

+ pbi

d2Ui . = p dt2 in 0

(9.4)

E*

= ^(uVx + Vxu)

(9.5)

T

= XlE + 2yU,E in 0

(9.6)

u

= u in r„

(9.7)

t

= t in r

(9.8)

and is illustrated by Fig. 9.3. This is now a well posed problem.

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