=K1(m)I0(m)+I1(m)K0(m)K1(m)I0(m)+I1(m)K0(m)=TwTTT,=R2r,m=Bk2hR22,=R2R1 R1 and R2 are the inner and outer radii, respectively. I and K are modified Bessel functions. a. Obtain the following expression for the heat loss from a single fin: Q=2R12hBkg(m,)(TwT)g(m,)=K1(m)I0(m)+I1(m)K0(m)I1(m)K1(m)K1(m)I1(m) b. Show that the expression for the effectiveness factor is: =m2(12)g(m,) c. Compare a finned and a bare tube in terms of their cooling rates. Both tubes have the same outer diameter, but the finned tube has fins welded on top of that diameter (see W9-2 slides). Assuming that both tubes lose heat with the same convection coefficient 4, show that the ratio of heat loss can be estimated as: Q0Q=aNR1(211)+(1aNB) where aN is the number of fins per length. Q0 is the heat loss from the bare tube and of course, QQ0>1 always