Consider the nanofluid of Example 2.2. (a) Calculate the

Chapter 6, Problem 6.34

(choose chapter or problem)

Consider the nanofluid of Example 2.2. (a) Calculate the Prandtl numbers of the base fluid andnanofluid, using information provided in the exam-ple problem.(b) For a geometry of fixed characteristic dimension L,and a fixed characteristic velocity V, determine the ratio of the Reynolds numbers associated with thetwo fluids, Renf/Rebf. Calculate the ratio of the aver-age Nusselt numbers, , that is associatedwith identical average heat transfer coefficients forthe two fluids, . The functional dependence of the average Nusseltnumber on the Reynolds and Prandtl numbers for abroad array of various geometries may be expressedin the general formwhere Cand mare constants whose values dependon the geometry from or to which convection heattransfer occurs. Under most conditions the value ofmis positive. For positive m, is it possible for thebase fluid to provide greater convection heat trans-fer rates than the nanofluid, for conditions involv-ing a fixed geometry, the same characteristicvelocities, and identical surface and ambienttemperatures?