Film theory with variable transport properties 

(a) Show that for systems in which the transport properties are functions of y, Eqs. 19.4-12 and 13 may be integrated to give for y < δ_Λ or y < δ_T respectively,

(b) Make the corresponding changes in Eqs 19.4-16 and 17 as well as in Eqs. 22.8-5 and 6 then verify that Eqs 22.8-7 and 8 remain valid. Thus it is not necessary to work with the integrals in calculating transfer rates if h_loc and k_{s, loc} can be predicted. 

(c) Show that h_loc and k_{s, loc} have to be evaluated in terms of the physical properties and flow regime (laminar or turbulent) that prevail at the conditions for which h_loc and k_{s, loc} are desired. 

(N40 + Ng0)(xa x) NA0 XA0(N40 + Ng) (N,pa + NgoCpo)XT T.) dy = exp| (NA0 + Ngo) = exp (Nopa + Ng9a) 90