Slip effects on MHD Hiemenz stagnation point nanofluid flow and heat transfer along a nonlinearly shrinking sheet with induced magnetic field: multiple solutions

Abstract

Nowadays, nanofluid (colloidal suspension) gains a lot of interest among various scientists and researchers in different countries due to its vast applications as heat transfer fluid [1], transportation [2, 3], bio-fluid [4], micro-heat sinks [5], micro-transformer [6], etc. Many experiments had been conducted to explore the tremendous heat transfer efficiency of nanofluid (metal and nonmetal nanoparticles) at Argonne National Laboratory, Chicago. The Argonne scientist team revealed that silicon carbide nanoparticles in ethylene glycol/ water carry heat away approximately 15 times more than conventional fluid. The development of nanofluids was focused on the basis of working of whole nanofluid system rather than individual properties (size, shape, conductivity, etc.) of the nanoparticles. Thus, the concentration and particle size were key to designing such systems. In 2006, Buongiorno [7] discussed the twocomponent modeling of nanofluid flow based on seven slip mechanism. He concluded that Brownian motion and thermophoresis are mainly responsible for anomalous heat transfer in nanofluids. Later, the extension of the Buongiorno's model was reported in vertical plate problem [8], Cheng-Minkowycz problem [9], linear and nonlinearly stretching sheet problem [10, 11], Hiemenz flow problem [12], Falkner-Skan problem [13], nonequilibrium model [14], double-diffusive problem [15, 16], non-Newtonian problem [17], and others. Recently, Kuznetsov and Nield [18, 19] revised their earlier published with new no-flux boundary conditions. Due to these boundary conditions, the impact of Brownian motion on heat transfer is now insignificant. Thenafter, many researchers tried to implement such boundary conditions in different flow regimes [20-27].

Unsteady MHD Non-Newtonian Heat Transfer Nanofluids with Entropy Generation Analysis

“…According to (25), we choose the following initial guesses, linear operators and auxiliary functions:…”

“…Abbas et al [24] computed multiple solutions for steady MHD boundary layer stagnation point nano uid ow from a stretching sheet with homogeneous-heterogeneous chemical reactions. Rana et al [25] have used the Lie group analysis to nd similarity transformations for the study of stagnation point ow of nano uid over a nonlinear shrinking surface.…”

Chebyshev collocation computation of magneto-bioconvection nanofluid flow over a wedge with multiple slips and magnetic induction

“…This manifests in a depletion in temperature with stronger suction and an elevation in temperature with stronger injection (blowing). Magnetic induction is indirectly influenced due to coupling of the momentum in equation (17) and induction in equation (18) via a number of terms featuring fluid stream function (and its gradient functions) in the latter and several terms featuring magnetic stream function (and its gradient functions) in the former. With greater momentum slip at the wedge surface (a .…”

“…Numerous investigations have been communicated in recent years with a variety of computational approaches including finite element methods, finite difference methods and symbolic codes for magnetic nanofluid flows. [10][11][12][13][14][15][16][17][18][19][20] Farooq et al 21 used the Mathematica package BVPh 2.0 to analyze MHD Falkner-Skan flow of nanofluid past a fixed wedge in a semi-infinite domain. Rashidi et al 22 studied entropy generation for steady MHD flow past a rotating porous disk in a nanofluid.…”

Thermal stratification effects on mixed convective Maxwell fluid flow with variable thermal conductivity and homogeneous/heterogeneous reactions

“…It is found that the magnetic and the Casson fluid parameters yield a reduction in the velocity field. Few more studies regarding the flow subject to the MHD can be consulted therein [22][23][24][25][26][27][28].…”