Question

A truncated solid cone is of circular cross section, and its diameter is related to the axial coordinate by an expression of the formD=ax3/2, wherea=1.0 m^-1/2.

The sides are well insulated, while the top surface of the cone atx1is maintained atT1and the bottom surface atx2is maintained atT2.
What is the rate of heat transfer across the cone if it is constructed of pure aluminum withx1=0.075 m,T1=240°C,x2=0.225 m, andT2=20°C? Evaluate the properties of aluminum atT¯=333 K.

Answer 1

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. Thermal conductivity of Ad, K= 2050 wlmk birven diameter D= art tar i mile] =k3l Area at ang section A= D . We mnow that 1 TK @= - kA di QOR=-607 { steady stake, Q=constant} * Q f de -k fedt an Integrating > exu ja -kjdt 1: 6=X → 40 X 21 TTL TUTTI : 240 - 200 > Los acompa] = 20 [20-140] > 10 [-158-025) = - 45700 = Q =448-302 Watts 10.075 →0.225 m