The one-dimensional plane wall of Figure 3.1 is of thickness \(L=75 \mathrm{~mm}\) and thermal conductivity \(k=\) \(2.5 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\). The fluid temperatures are \(T_{\infty, 1}=200^{\circ} \mathrm{C}\) and \(T_{\infty, 2}=100^{\circ} \mathrm{C}\), respectively. Using the minimum and maximum typical values of the convection heat transfer coefficients listed in Table 1.1, determine the minimum and maximum steady-state heat fluxes through the wall for (i) free convection in gases, (ii) free convection in liquids, (iii) forced convection in gases, (iv) forced convection in liquids, and (v) convection with phase change.

Figure 3.1:-

Table 1.1 :-

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T1 Ts,1 Ts.2 102 (a) Hot fluid T-1, h qx T.1 x x=L ww L hA (b) Tx,2 Cold fluid To,2, h To,2 FIGURE 3.1 Heat transfer through a plane wall. (a) Temperature distribution. (b) Equivalent thermal circuit.