Analytical and Numerical Investigations for the Flow and Heat Transfer of Nanofluids over a Stretching Sheet with Partial Slip Boundary Condition

Abstract

Due to importance of the slip effect on modeling the boundary layer flows of nanofluids, theoretical and numerical investigations have been introduced in this paper for studying the effect of a partial slip boundary condition on the heat transfer of nanofluids over a stretching sheet. The exact solutions of the investigating model were obtained in terms of exponential, Gamma, and incomplete Gamma functions at some values of the physical parameters. These solutions were then numerically validated by using Chebyshev pseudospectral differentiation matrix (ChPDM) technique. The numerical results reveal that this approach is really effective, very accurate, and convenient in studying the similar problems.

The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid

“…Here, it may be important to mention that the chosen values for and as observed in [13] were always exceeding one. However, Rana and Bhargava [28] and Makinde and Aziz [29] as well as Aly et al [30] practically studied and in the range of 0.1-0.5. Hence, the variation of these nondimensional parameters is considered here to vary in wider ranges than those mentioned above.…”

Effect of Velocity Slip Boundary Condition on the Flow and Heat Transfer of Cu-Water and TiO2-Water Nanofluids in the Presence of a Magnetic Field

“…It has been shown in [17] that nanofluidic flow usually exhibits partial slip against the solid surface, which can be characterized by the so-called slip length (around 3.4-68 mm for different liquids). Accordingly, the authors in [18] discussed the effect of partial slip boundary condition on the flow and heat transfer of nanofluids past stretching sheet at constant wall temperature. Furthermore, the no-slip condition is no longer valid for fluid flows at the micro and nano scale and, instead, a certain degree of tangential slip must be allowed (see [19,20]).…”

Effect of Hall Current on Mixed Convection Squeezing ThreeDimensional Flow in a Rotating Channel with Thermal Radiation and Heat Sources

“…Kalpana et al(30a) have studied mixed convection squeezing three-dimensional flow in a rotating channel with thermal radiation and heat sources. A few recent studies [3][4][5][6][7][8][9][10][11][12][13][14] regarding MHD heat and mass transfer with different physical conditions. The radiative heat transfer has encountered a variety of applications such as nuclear power plants, gas turbines and propulsion devices for space vehicles, missiles and aircraft.…”

“…Uwanta and Omokhuale [61] have analysed the influence of radiation and chemical reaction effect on heat and mass transfer of a viscoelastic fluid in a fixed plane. The combined effects of radiation and chemical reaction on the MHD free convection flow of an electrically conducting viscous fluid over an inclined plate have been studied by Aly et al [6] and have obtained a closed form solution by employing Laplace transform technique. Das et al [17] have discussed the effect of radiation on unsteady free convective heat and mass transfer flow using Laplace transform method.…”