Consider laminar flow of a fluid with Pr4 thatundergoes a

Chapter 8, Problem 8.54

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Consider laminar flow of a fluid with Pr?4 thatundergoes a combined entrance process within a con- stant surface temperature tube of length Lxfd,twith aflow rate of . An engineer suggests that the total heattransfer rate can be improved if the tube is divided intoNshorter tubes, each of length LN?L/Nwith a flowrate of . Determine an expression for the ratio ofthe heat transfer coefficient averaged over the Ntubes,each experiencing a combined entrance process, to theheat transfer coefficient averaged over the single tube,

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