Data on the heat flux for laminar flow of liquid water and for pool boiling of water are shown in Figure 12.4.Take the bulk temperature of the fluid in the case of laminar flow to be T₀ = 25 ^◦C and assume that the pool boiling process takes place at 1 atm.

(a) Suppose the two methods are used to transfer heat at a rate of q = 10⁵ W/m². Estimate the rate of extra entropy production(W/m² K) for the two methods. 

(b) Estimate the heat flux for pool boiling when its rate of entropy production is the same as the rate of entropy production for laminar flow in part (a).