Chapter 1, Problem 1.17P

For a boiling process such as shown in Figure 1.5 c, theambient temperature $T_{\infty }$ in Newton’s law of cooling isreplaced by the saturation temperature of the fluid $T_{sat},$ Consider a situation where the heat flux from the hotplate is $q^{″}=20\times {10}^5{\text{W/m}}^{\text{2}},$ If the fluid is water atatmospheric pressure and the convection heat transfercoefficient is $h_w=20\times {10}^3{\text{W/m}}^{\text{2}}\cdot \text{K}$ , determine theupper surface temperature of the plate. $T_{s,w}.$ In an effort to minimize the surface temperature, a technicianproposes replacing the water with a dielectric fluid whose saturation temperature is $T_{\text{sat},d}=52°\text{C}$ . If theheat transfer coefficient associated with the dielectricfluid is $h_d=3\times 10{\text{W/m}}^{\text{2}}\cdot \text{K}$ , will the technician’splan work?