Hot water is transported from a cogeneration power

Chapter 4, Problem 4.29

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Hot water is transported from a cogeneration power sta-tion to commercial and industrial users through steelpipes of diameter D?l50 mm, with each pipe centeredin concrete (k?1.4 W/m?K) of square cross section(w?300 mm). The outer surfaces of the concrete areexposed to ambient air for which T??0?C and h?25 W/m2?K.(a) If the inlet temperature of water flowing throughthe pipe is Ti?90?C, what is the heat loss per unitlength of pipe in proximity to the inlet? The tem-perature of the pipe T1may be assumed to be thatof the inlet water.(b) If the difference between the inlet and outlet tem-peratures of water flowing through a 100-m-longpipe is not to exceed 5?C, estimate the minimum allowable flow rate m.. A value of c?4207 J/kg?Kmay be used for the specific heat of the water.

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