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2. Consider the solidification of a falling film of paraffin wax. The vertical isothermal wall, Tw=20C, is placed in contact with an isothermal pool of
2. Consider the solidification of a falling film of paraffin wax. The vertical isothermal wall, Tw=20C, is placed in contact with an isothermal pool of paraffin, T=35C. Since the solidification point of this paraffin is Tm=27.5C, the wall becomes covered with a thin layer of solidified paraffin. Show that under steady-state conditions, the thickness of the solidified layer, L(y), is proportional to the laminar boundary layer thickness. Determine the expression for L numerically and plot to scale the L(y) shape of the solidified layer. The relevant properties of liquid paraffin are kf=0.15W/mK,=8.5104K1, =9104cm2/s, and Pr=56. The thermal conductivity of solid paraffin is ks=0.36 W/mK. The overall height of the isothermal wall is H=10cm. 2. Consider the solidification of a falling film of paraffin wax. The vertical isothermal wall, Tw=20C, is placed in contact with an isothermal pool of paraffin, T=35C. Since the solidification point of this paraffin is Tm=27.5C, the wall becomes covered with a thin layer of solidified paraffin. Show that under steady-state conditions, the thickness of the solidified layer, L(y), is proportional to the laminar boundary layer thickness. Determine the expression for L numerically and plot to scale the L(y) shape of the solidified layer. The relevant properties of liquid paraffin are kf=0.15W/mK,=8.5104K1, =9104cm2/s, and Pr=56. The thermal conductivity of solid paraffin is ks=0.36 W/mK. The overall height of the isothermal wall is H=10cm
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