TEAM PROJECT. Piecewise Constant Boundary Temperatures.
Chapter 18, Problem 18.3(choose chapter or problem)
TEAM PROJECT. Piecewise Constant Boundary Temperatures. (a) A basic building block is shown in Fig. 407. Find the corresponding temperature and complex potential in the upper half-plane. (b) Conformal mapping. What temperature in the first quadrant of the ;:-plane is obtained from la) by the mapping w = a + Z2 and what are the transfonned boundary conditions?(c) Superposition. Find the temperature T'" and thecomplex potential F* in the upper half-plane satisfyingthe boundary condition in Fig. 408.(d) Semi-infinite strip. Applying H' = cosh;: to (c),obtain the solution of the boundary value problem inFig. 409.
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