The present paper is concerned to study the influence of second-order slip, mixed convection, viscous and Joule dissipations, thermophoretic and Brownian diffusions on steady stagnation point nanofluid flow over a stretching sheet embedded in a porous medium with passive control of nanoparticles. Graphs for velocity, temperature and concentration of present nanofluid flow model, obtained by using spectral relaxation method, are discussed in detail for various parameters. Apart from it, present results are verified by previously available results as well as regression analysis is performed for the local Nusselt number for making this model more effective in industries and engineering. From the statistical analysis of local Nusselt number, it is suggested that small variation in thermophoretic parameter leads to large perturbation in local Nusselt number in comparison to Brownian motion parameter, and the presence of Eckert number leads to strengthen Brownian and thermophoretic diffusions.
MasudaHEbataATeramaeK. Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles. Dispersion of Al2O3, SiO2 and TiO2 ultra-fine particles. Netsu Bussei1993; 7: 227–233.
2.
SheikholeslamiM. New computational approach for exergy and entropy analysis of nanofluid under the impact of Lorentz force through a porous media. Comput Method Appl Mech2019; 344: 319–333.
3.
DasKAcharyaNKunduPK. Influence of variable fluid properties on nanofluid flow over a wedge with surface slip. Arab J Sci Eng2018; 43: 2119–2131.
4.
SheikholeslamiMMahianO. Enhancement of PCM solidification using inorganic nanoparticles and an external magnetic field with application in energy storage systems. J Clean Prod2019; 215: 963–977.
5.
SheikholeslamiM. Numerical approach for MHD Al2O3-water nanofluid transportation inside a permeable medium using innovative computer method. J Nanofluids2019; 344: 306–318.
6.
AcharyaNDasKKunduPK. Outlining the impact of second-order slip and multiple convective condition on nanofluid flow: a new statistical layout. Can J Phys2017; 96: 104–111.
7.
AcharyaNDasKKunduPK. Fabrication of active and passive controls of nanoparticles of unsteady nanofluid flow from a spinning body using HPM. Eur Phys J Plus2017; 132: 323.
8.
AcharyaNDasKKunduPK. The squeezing flow of Cu-water and Cu-kerosene nanofluids between two parallel plates. Alex Eng J2016; 55: 1177–1186.
9.
SethGSKumarBNandkeolyarR. MHD mixed convection stagnation point flow of a micropolar nanofluid adjacent to stretching sheet: a revised model with successive linearization method. J Nanofluid2019; 8: 620–630.
10.
SheikholeslamiMJafaryarMHedayatM, et al.Heat transfer and turbulent simulation of nanomaterial due to compound turbulator including irreversibility analysis. Int J Heat Mass Transf2019; 137: 1290–1300.
11.
SheikholeslamiMJafaryarMShafeeA, et al.Heat transfer of nanoparticles employing innovative turbulator considering entropy generation. Int J Heat Mass Transf2019; 136: 1233–1240.
12.
SheikholeslamiMHaqRUShafeeA, et al.Heat transfer simulation of heat storage unit with nanoparticles and fins through a heat exchanger. Int J Heat Mass Transf2019; 135: 470–478.
13.
SheikholeslamiMHaqRUShafeeA, et al.Heat transfer behavior of nanoparticle enhanced PCM solidification through an enclosure with V shaped fins. Int J Heat Mass Transf2019; 130: 1322–1342.
14.
SheikholeslamiMGerdroodbaryMBMoradiR, et al.Application of Neural Network for estimation of heat transfer treatment of Al2O3-H2O nanofluid through a channel. Comput Method Appl Mech2019; 344: 1–12.
15.
SheikholeslamiMArabkoohsarAKhanI, et al.Impact of Lorentz forces on Fe3O4-water ferrofluid entropy and exergy treatment within a permeable semi annulus. J Clean Prod2019; 221: 885–898.
16.
SheikholeslamiMShafeeAZareeiA, et al.Heat transfer of magnetic nanoparticles through porous media including exergy analysis. J Mol Liq2019; 279: 719–732.
17.
SheikholeslamiMJafaryarMShafeeA, et al.Simulation of nanoparticles application for expediting melting of PCM inside a finned enclosure. Phys A Stat Mech Appl2019; 523: 544–556.
18.
CraneLJ. Flow past a stretching plate. Zeitschrift für angewandte Mathematik und Physik (ZAMP)1970; 21: 645–647.
19.
ChenCH. Laminar mixed convection adjacent to vertical, continuously stretching sheets. Heat Mass Transf1998; 33: 471–476.
20.
KhanWAPopI. Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf2010; 53: 2477–2483.
21.
DasKAcharyaNKunduPK. The onset of nanofluid flow past a convectively heated shrinking sheet in presence of heat source/sink: a Lie group approach. Appl Therm Eng2016; 103: 38–46.
22.
IshfaqNKhanZHKhanWA, et al.Estimation of boundary-layer flow of a nanofluid past a stretching sheet: a revised model. J Hydrodyn Ser B2016; 28: 596–602.
23.
EllahiRTariqMHHassanM, et al.On boundary layer nano-ferroliquid flow under the influence of low oscillating stretchable rotating disk. J Mol Liq2017; 229: 339–345.
24.
AcharyaNDasKKunduPK. Rotating flow of carbon nanotube over a stretching surface in the presence of magnetic field: a comparative study. Appl Nanosci2018; 8: 369–378.
25.
VajraveluKHadjinicolaouA. Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation. Int Commun Heat Mass Transf1993; 20: 417–430.
26.
MakindeOD. Effects of viscous dissipation and Newtonian heating on boundary-layer flow of nanofluids over a flat plate. Int J Numer Methods Heat Fluid Flow2013; 23: 1291–1303.
27.
PalDMandalG. Mixed convection–radiation on stagnation-point flow of nanofluids over a stretching/shrinking sheet in a porous medium with heat generation and viscous dissipation. J Petroleum Sci Eng2015; 126: 16–25.
28.
KumarRKumarRShehzadSA, et al.Rotating frame analysis of radiating and reacting ferro-nanofluid considering joule heating and viscous dissipation. Int J Heat Mass Transf2018; 120: 540–551.
29.
MustafaMHayatTPopI, et al.Stagnation-point flow of a nanofluid towards a stretching sheet. Int J Heat Mass Transf2011; 54: 5588–5594.
30.
RehmanKUKhanAAMalikMY, et al.Thermophysical aspects of stagnation point magnetonanofluid flow yields by an inclined stretching cylindrical surface: a non-Newtonian fluid model. J Braz Soc Mech Sci Eng2017; 39: 3669–3682.
31.
MotsaSMakukulaZ. On spectral relaxation method approach for steady von Kármán flow of a Reiner-Rivlin fluid with Joule heating, viscous dissipation and suction/injection. Open Phys2013; 11: 363–374.
32.
KumarBSethGSNandkeolyarR. Successive linearisation approach to analyse thermally radiative stagnation point micropolar nanofluid flow with regression model. Pramana – J Phys2019; 93: 74.
33.
DasKAcharyaNKunduPK. Radiative flow of MHD Jeffrey fluid past a stretching sheet with surface slip and melting heat transfer. Alex Eng J2015; 54: 815–821.
34.
AcharyaNDasKKunduPK. Ramification of variable thickness on MHD TiO2 and Ag nanofluid flow over a slendering stretching sheet using NDM. Eur Phys J Plus2016; 131: 303.
35.
KuznetsovAVNieldDA. Natural convective boundary-layer flow of a nanofluid past a vertical plate: a revised model. Int J Therm Sci2014; 77: 126–129.
36.
WuL. A slip model for rarefied gas flows at arbitrary Knudsen number. Appl Phys Lett2008; 93: 253103.
37.
MakindeODKhanWAKhanZH. Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet. Int J Heat Mass Transf2013; 62: 526–533.
38.
ColinSLalondePCaenR. Validation of a second-order slip flow model in rectangular microchannels. Heat Transf Eng2004; 25: 23–30.
39.
HadjiconstantinouNG. The limits of Navier-Stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics. Phys Fluids2006; 18: 111301.
40.
KhanWAPopI. Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf2010; 53: 2477–2483.
