Applications of Nanofluid for Heat Transfer Enhancement

9.3. Heated permeable stretching surface in a porous medium using Nanofluid

9.3.1. Problem definition

Consider the steady, two-dimensional flow of a nanofluid near the stagnation point on a stretching sheet saturated at a porous surface (highly permeable) as shown in Fig. 9.14 [21]. The stretching velocity U_w(x) and the free stream velocity U_∞(x) are assumed to vary proportional to the distance x from the stagnation point, that is, U_w(x) = ax and U_∞(x) = bx, where a and b are constants with a > 0 and b ≥ 0. It is assumed that the temperature at the stretching surface takes the constant values T_w, while the temperature of the ambient nanofluid, attained as y tends to infinity, takes the constant values T_∞. The fluid is a water-based nanofluid containing ...