The effect of transpiration on self-similar boundary layer flow over moving surfaces

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.…”

Flow and heat transfer over a generalized stretching/shrinking wall problem—Exact solutions of the Navier–Stokes equations

“…Some interesting mathematical results on multiple (dual) solutions for the boundary layer flow over a moving semi-infinite flat plate have been reported by Afzal et al [21], Afzal [22], Weidman et al [23], Fang [13] and Ishak et al [24].…”

Stability analysis of MHD thermosolutal Marangoni convection boundary layer flow

“…In this paper, we are using the stability analysis developed by Weidman et al [12]. According to them, a variable τ has to be introduced.…”

“…Merkin [11] has shown that the second solution obtained in his research is not stable by suggesting that the solutions with negative eigenvalues indicate instability. Further, Weidman et al [12] has improved the stability analysis developed by Merkin and proposed a new parameter associated with the initial value problem. Since then, many researchers employed the stability analysis by Weidman et al [12] to investigate the stability of the solutions such as the study by Mahapatra and Nandy [13], Nazar et al [14] and Rahman et al [15].…”