In a biomedical supplies manufacturing process,

Chapter 8, Problem 8.76

(choose chapter or problem)

In a biomedical supplies manufacturing process, arequirement exists for a large platen that is to be main-tained at 45?0.25C. The proposed design featuresthe attachment of heating tubes to the platen at a relative spacing S. The thick-walled, copper tubes havean inner diameter of Di?8 mm and are attached to the platen with a high thermal conductivity solder,which provides a contact width of 2Di. The heatingfluid (ethylene glycol) flows through each tube at afixed rate of m??0.06 kg/s. The platen has a thickness f w?25 mm and is fabricated from a stainless steelwith a thermal conductivity of 15 W/m?K.Considering the two-dimensional cross section of theplaten shown in the inset, perform an analysis to determinethe heating fluid temperature Tmand the tube spacing Srequired to maintain the surface temperature of the platen,T(x, w), at 45?0.25C, when the ambient temperature is25C and the convection coefficient is 100 W/m2?K.