Cite three variables that determine the microstructure of an alloy

Week 6 Notes Spherical Separation of Variables Monday, February 13, 2017 2:00 PM Example: A spherical shell with radius S and V (θ)=ksin 2θ 2 What is V ¿ Yesterday we got to this point V(r ,θ=R(r)Θ (θ) l B R(r)=Ar + l+1 r Θ θ =P (cosθ ) l l l Pl= 1 d (x −1 ) 2 l!(dx Week 6 Notes Where… P =1 0 P =x 1 P = 1 3x −1 ) 2 2 So now what Let's plug in some Boundary Conditions r=0,V⇒∞t hen…B=0 r=s,V=V 0 ∞