Analytical solutions for pipe flow of a fourth grade fluid with Reynold and Vogel’s models of viscosities

Analysis on Variable Fluid Viscosity of Non-Darcian Flow over a Moving Vertical Plate in a Porous Medium with Suction and Viscous Dissipation

“…We now introduce the following relations for (see e.g., Massoudi and Christe [11], Nadeem and Ali [13], Okoya [15]) and Pardemirli and Yilbas [16]. Our adopted model (10) does not differ at all with all the model mentioned above.…”

Dual solutions for unsteady flow of Powell-Eyring fluid past an inclined stretching sheet

“…The effect of variable viscosity and viscous dissipation on the flow of a third grade fluid in a uniform pipe has been studied by Massoudi and Christie (1995). Nadeem and Ali (2009) and Nadeem et al (2010) investigated the pipe flow of non-Newtonian fluid with variable viscosity by considering no slip and partial slip conditions and found that heat transfer performance of the flow is significant in the presence of slip effect. Javed et al (2013) studied the boundary layer flow over a stretching sheet for non-Newtonian fluid, namely the Eyring-Powell model.…”

Magnetohydrodynamic Mixed Convection Stagnation-Point Flow of a Power-Law Non-Newtonian Nanofluid towards a Stretching Surface with Radiation and Heat Source/Sink

“…The theory of non-Newtonian fluids offers mathematicians, engineers, and numerical specialists varied challenges in developing analytical and numerical solutions for the highly nonlinear governing equations. However, due to the practical significance of these non-Newtonian fluids, many authors have presented various non-Newtonian fluid models like Elbashbeshy et al [3], Nadeem et al [4], Nadeem et al [5], Nadeem et al [6], Nadeem and Akbar [7], Nadeem and Ali [8], Buongiorno [9], and Łukaszewicz [10]. Many interesting applications of non-Newtonian power-law fluids were presented by Shenoy [11].…”