Consider two plates, A and B, that are each

Chapter 5, Problem 5.121

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Consider two plates, A and B, that are each initiallyisothermal and each of thickness L?5 mm. The facesof the plates are suddenly brought into contact in ajoining process. Material A is acrylic, initially at Ti,A ?20C with ?A?1990 kg/m3, cA?1470 J/kg?K, andkA?0.21 W/m?K. Material B is steel initially at Ti,B ?300C with ?B?7800 kg/m3, cB?500 J/kg?K, andkB?45 W/m?K. The external (back) surfaces of theacrylic and steel are insulated. Neglecting the thermalcontact resistance between the plates, determine howlong it will take for the external surface of the acrylicto reach its softening temperature, Tsoft?90C. Plotthe acrylics external surface temperature as well as theq ?1107W/m3 369CH005.qxd 2/24/11 12:37 PM Page 369 average temperatures of both materials over the timespan 0?t?300 s. Use 20 equally spaced nodal points

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