1) An annular fin of uniform thickness has an inner radius of 𝑟 cm, and outer radius of 𝑅 cm, and a thickness
of 𝑏 cm. The material is steel with thermal conductivity of 𝜆. It is cooled by air at T(a) oC, giving a convective heat transfer coefficient ℎ W/m2.K. The fin base is at 𝑇(w)oC. Assuming that the temperature is constant at the top (T(R));
a) Find the temperature profile of the fin along with the radius in forms of Bessel’s functions.
b) Determine the heat rate of this fin.
มีใครทำโจทย์ข้อนี้ได้ไหมคะ คิดไม่ออกจริงๆ ค่ะ แบบวิธีทำละเอียดเลยค่ะ
of 𝑏 cm. The material is steel with thermal conductivity of 𝜆. It is cooled by air at T(a) oC, giving a convective heat transfer coefficient ℎ W/m2.K. The fin base is at 𝑇(w)oC. Assuming that the temperature is constant at the top (T(R));
a) Find the temperature profile of the fin along with the radius in forms of Bessel’s functions.
b) Determine the heat rate of this fin.