Consider the steady state Laplace equation in U, +-U, +Um =0 in a shaded region a....

 

Transcribed Image Text:

Consider the steady state Laplace equation in U, +-U, +Um =0 in a shaded region a. Write the steady state temperature most suitable for the plate b. Using the composition method U(r,0) =V(r,0) +w(6) determine w(0). c. Solve for (r,0) d. Solve steady-state temperature U(r,0) = 40 LU(2,0) = sin(40) U(r,0) = 0 Consider the steady state Laplace equation in U, +-U, +Um =0 in a shaded region a. Write the steady state temperature most suitable for the plate b. Using the composition method U(r,0) =V(r,0) +w(6) determine w(0). c. Solve for (r,0) d. Solve steady-state temperature U(r,0) = 40 LU(2,0) = sin(40) U(r,0) = 0