Consider the ground source heat pump of .100 under winter

Chapter 8, Problem 8.77

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Consider the ground source heat pump of Problem5.100 under winter conditions for which the liquid isdischarged from the heat pump into high-density poly-ethylene tubing of thickness t?8 mm and thermal con-ductivity k?0.47 W/m?K. The tubing is routed throughsoil that maintains a uniform temperature of approxi-mately 10C at the tube outer surface. The properties ofthe fluid may be approximated as those of water.(a) For a tube inner diameter and flow rate of Di?25 mm and m??0.03 kg/s and a fluid inlet temper-ature of Tm,i?0C, determine the tube outlet tem-perature (heat pump inlet temperature), Tm,o, as afunction of the tube length Lfor 10?L?50 m.(b) Recommend an appropriate length for the system.How would your recommendation be affected byvariations in the liquid flow rate?

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