# = 1.05 m has its inner surface subjected to a uniform heat flux of q1=7 kW/m2. The outer surface of the container has a2-77 A spherical container with an inner radius n = 1 m and an outer radius25°C, and the container wall thermal conductivity is k 1.5 W/m K. Show that the variation of temperature in the container wall can be expressed as T(r)= (4,r^k(1r 1/r.) + T2 and determinetemperature T2the temperature of the inner surface of the container at r = ^FIGURE P2-77SphericalcontainerT2

Question

A spherical container with an inner radius r1 = 1 m and an outer radius r2 = 1.05 m has its inner surface subjected to a uniform heat flux of q1=7kw/m^2. The outer surface of the container has a temperature T2 = 25°C, and the container wall thermal conductivity is k = 1.5 W/m·K. Show that the variation of temperature in the container wall can be expressed as  and determine the temperature of the inner surface of the container at r = r1.

Step 1

Using differential equation for heat conduction,

Step 2

Using Fourier’s law in radial r-direction,

Step 3

Calculation:

&n...

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