Limiting local Nusselt number for plug flow with constant heat flux (a) Equation 10B.9-1 gives the asymptotic

Question:

Limiting local Nusselt number for plug flow with constant heat flux

(a) Equation 10B.9-1 gives the asymptotic temperature distribution for cooling a fluid of constant physical properties in plug flow in a long tube with constant heat flux at the wall. Use this temperature profile to show that the limiting Nusselt number for these conditions is Nu = 8.

(b) The asymptotic temperature distribution for the analogous problem for plug flow in a plane slit is given in Eq. 10B.9-2. Use this to show that the limiting Nusselt number is Nu = 12.

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