Problem statement: "I was impressed with your response to my last question, so I have a new one for you. I have a thin washer that's insulated on the flat sides, but not on the round inner and outer edges. I left the washer on my desk until it was at room temperature $(22C),$ and then I plan to put the washer around a dowel of radius $1cm$ that will keep the inner radius at $0C.$ As for the outer radius $($I haven't decided how big yet$),$I will cool the top half to $-10C$ and heat the bottom half to $30C.$ I know that the material my washer is made of has a diffusivity of $\frac{1}{3}cm$ squared per hour. I don't care what the temperature looks like over time, but what will the temperature eventually settle out to$?$ Please explain how you figured it out so I can answer

the question next time. As always, pictures are helpful, and I drew a picture of my washer to help you out."Problem statement: $$I was impressed with your response to my last question, so I have a new one for you.

I have a thin washer that$$s insulated on the flat sides, but not on the round inner and outer edges. I left the

washer on my desk until it was at room temperature $(22$C$),$ and then I plan to put the washer around a dowel

of radius $1$ cm that will keep the inner radius at $0$C$.$ As for the outer radius $($I haven$$t decided how big yet$),$

I will cool the top half to $-10$C and heat the bottom half to $30$C$.$ I know that the material my washer is

made of has a diffusivity of $1/3$ cm squared per hour. I don$$t care what the temperature looks like over time, but what will the temperature eventually settle out to$?$

Can someone please help me solve this question?