Falkner–Skan boundary layer flow of a power-law fluid past a stretching wedge

Stagnation-Point Flow towards a Stretching Vertical Sheet with Slip Effects

“…The first solutions are expected to be stable and physically realizable, whilst those of second solutions are not. The temporal stability analysis for the multiple solutions has been done by several researchers such as Merkin [25], Weidman et al [26], Paullet and Weidman [27], Harris et al [28], and Postelnicu and Pop [29]. However, the stability analysis is not in the scope of this study and, thus, we expect that finding hold for the present study.…”

Flow and heat transfer over a shrinking sheet in a nanofluid with suction at the boundary

“…This suggests that the nanofluids with higher thermal conductivity widens the range of for which the solution exists. There are several studies reported the existence of dual solutions for the similar problem such as Merkin [16], Weidman et al [17], Paullet and Weidman [18], Harris et al [19] and Postelnicu and Pop [20]. They indicated that the first solution is stable and physically relevant unlike those of the second solutions.…”

Stagnation-Point Flow and Heat Transfer Towards a Shrinking Sheet with Suction in an Upper Convected Maxwell Fluid

“…The stability analysis of the dual solutions of several boundary layer problems has been made by Merkin [31], Weidman et al [32], Harris et al [33], Postelnicu and Pop [34], and Roşca and Pop [35]. They revealed that the solutions along the upper branch (first) solution are linearly stable and physically realizable, whilst those on the lower branch (second) solution are linearly unstable and, therefore, physically not realizable.…”