Note on Cortell’s non-linearly stretching permeable sheet

An analytical treatment for the exact solutions of MHD flow and heat over two–three dimensional deforming bodies

“…h 0 ð0Þ ¼ 12754584e 6 108919435625 À 272641739e 6 ¼ À4:79956 and the double flow and temperature fields corresponding to (50) and (51) are depicted in Fig. 3(a)-(d).…”

“…The pioneering works of [7] on the two-dimensional pure linear stretching sheet and that of [8] (see also [9]) on the two-dimensional pure linear shrinking sheet have probably initiated ten thousands of subsequent conductions on the subject taking into account further physical properties; power-law wall stretching/shrinking [10][11][12][13][14], unsteadiness [15][16][17], stagnation-point flow [18][19][20], generalized stretching/shrinking wall [21,22], magnetohydrodynamic (MHD) effects [23][24][25][26], porosity of the media [27], wall permeability [28][29][30][31][32][33], micropolar fluids [34][35][36], three dimensional/axisymmetric flow [37][38][39]42,40,41], exponential wall stretching/shrinking [43][44][45][46], first and second order fluid wall slippage [47][48][49][50][51]…”

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

“…where nf ρ is the density of the nanofluid, nf α is the thermal diffusivity of the nanofluid, nf μ is the effective viscosity of the nanofluid, nf υ is the kinematic viscosity of the nanofluid, φ is the solid volume fraction, p c is the specific heat at constant pressure, f ρ and s ρ are the densities of the base fluid and the nanoparticle, We look for the similarity solutions of the equations (1)-(3) using the following similarity transformations (see [10], [15])…”

Stagnation Point Flow over a Permeable Shrinking Sheet with Slip Effects: Suction Case

“…It appears that flow towards a shrinking sheet was widened by Bhattacharyya [12], Bhattacharyya et al [13], Bhattacharyya and Pop [14], Bhattacharyya and Layek [15] and Bhattacharyya and Vajravelu [16]. In the meantime, Vajravelu [17], Nazar et al [18], Nadeem et al [19] and Rohni et al [20] have explored the flow and heat transfer over a stretching sheet under different physical aspects by using the fourth-order Runge-Kutta integration scheme, the Keller-box method and the homotopy analysis method (HAM). Further, Bhattacharyya [21] and Yao et al [22] have contemplated the problem for both shrinking and stretching sheets and walls, respectively, with time dependent surface temperature and convective boundary conditions.…”