Restricted accessResearch articleFirst published online 2019-8
Magnetohydrodynamics mixed convective flow driven through a static wedge including TiO 2 nanomaterial with micropolar liquid: Similarity dual solutions via finite difference method
This research scrutinizes the influence of titanium oxide (TiO2) nanoparticle on electrically conducting micropolar liquid driven through wedge with mixed convection and thermal radiation. Buoyancy opposing flow and buoyancy assisting flow are taken into consideration. Similarity parameters are employed to transmute the governing partial differential equations into ordinary differential equations and then obtained the dual solutions through finite difference method. Impacts of ensuing parameters on liquid velocity, temperature distribution, and microrotation field are described and argued. Dual solutions are realized in buoyancy opposing flow, whereas in buoyancy assisting flow outcome is unique. Nanoliquid velocity tends to decline in the first solution and enhances in the second solution due to nanoparticle volume fraction, whereas microrotation profiles increases in both solutions. Temperature distribution increases in the first solution and decreases in the second solution due to φ. Due to micropolar parameter, the velocity and microrotation profiles decrease in both solutions, whilst the temperature of fluid behaves in opposite manner. Results also showed that separation of boundary layer can be controlled through micropolar parameter and nanoparticle volume fraction. In addition, support of present outcomes is arranged through benchmarking by previous well-known limiting conditions and pledged that a fabulous agreement with these results.
EringenAC. Theory of micropolar fluid. J Math Mech1966; 16: 1–18.
2.
ArimanTTurkMASylvesterND. Microcontinuum fluid mechanics–a review. Int J Eng Sci1973; 11: 905–930.
3.
HussananASallehMZKhanI, et al.Unsteady free convection flow of a micropolar fluid with Newtonian heating. Therm Sci2017; 21: 2313–2326.
4.
WaqasHHussainSSharifH, et al.MHD forced convective flow of micropolar fluids past a moving boundary surface with prescribed heat flux and radiation. Br J Math Comput Sci2017; 21: 1–14.
5.
SalehSHMArifinNMNazarR, et al.Unsteady micropolar fluid over a permeable curved stretching shrinking surface. Math Prob Eng2017; 2017: 1–13.
6.
HussananASallehMZKhanI. Microstructure and inertial characteristics of a magnetite ferrofluid over a stretching/shrinking sheet using effective thermal conductivity model. J Mol Liq2018; 255: 64–75.
7.
ZaibARashidiMMChamkhaAJ, et al.Impact of nonlinear thermal radiation on stagnation-point flow of a Carreau nanofluid past a nonlinear stretching sheet with binary chemical reaction and activation energy. Proc IMechE, Part C: J Mechanical Engineering Science2018; 232: 962–972.
8.
ShamshuddinMDMishraSRBegOA, et al.Unsteady reactive micropolar flow, heat and mass transfer from an inclined plate with Joule heating: a model for magnetic polymer processing. Proc IMechE, Part C: J Mechanical Engineering Science2019; 233: 1246–1261.
9.
ChoiSUS. Enhancing thermal conductivity of fluids with nanoparticle. ASME Fluids Eng Div1995; 231: 99–106.
10.
PantzaliMNMouzaAAParasSV. Investigating the efficacy of nanofluids as coolants in plate heat exchangers (PHE). Chem Eng Sci2009; 64: 3290–3300.
11.
HamadMAPopI. Scaling transformations for boundary layer flow near the stagnation-point on a heated permeable stretching surface in a porous medium saturated with a nanofluid and heat generation/absorption effects. Trans Porous Medium2010; 87: 25–39.
12.
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 Petrol Sci Eng2015; 126: 16–25.
13.
HayatTAzizAMuhammadT, et al.On magnetohydrodynamic flow of second grade nanofluid over a nonlinear stretching sheet. J Magn Mater2016; 408: 99–106.
14.
EidMR. Chemical reaction effect on MHD boundary-layer flow of two-phase nanofluid model over an exponentially stretching sheet with a heat generation. J Mol Liq2016; 220: 718–725.
15.
ZeeshanAHassanMEllahiR, et al.Shape effect of nanosize particles in unsteady mixed convection flow of nanofluid over disk with entropy generation. Proc IMechE, Part E: J Mechanical Engineering Science2017; 231: 871–879.
16.
BhattiMMZeeshanAEllahiR. Simultaneous effects of coagulation and variable magnetic field on peristaltically induced motion of Jeffrey nanofluid containing gyrotactic microorganism. Microvasc Res2017; 110: 32–42.
17.
HamidMUsmanMZubairT, et al.Shape effects of MoS2 nanoparticles on rotating flow of nanofluid along a stretching surface with variable thermal conductivity: a Galerkin approach. Int J Heat Mass Transf2018; 124: 706–714.
18.
BhattiMMZeeshanAEllahiR, et al.Mathematical modeling of heat and mass transfer effects on MHD peristaltic propulsion of two-phase flow through a Darcy-Brinkman-Forchheimer porous medium. Adv Powder Technol2018; 29: 1189–1197.
19.
MajeedAZeeshanAAlamriSZ, et al.Heat transfer analysis in ferromagnetic viscoelastic fluid flow over a stretching sheet with suction. Neural Comput Appl2018; 30: 1947–1955.
20.
SheikholeslamiM. Influence of magnetic field on Al2O3-H2O nanofluid forced convection heat transfer in a porous lid driven cavity with hot sphere obstacle by means of LBM. J Mol Liq2018; 263: 472–488.
21.
SheikholeslamiMJafaryarMLiZ. Second law analysis for nanofluid turbulent flow inside a circular duct in presence of twisted tape turbulators. J Mol Liq2018; 263: 489–500.
22.
ZeeshanAIjazNAbbasT, et al.The sustainable characteristic of bio-bi-phase flow of peristaltic transport of MHD Jeffrey fluid in the human body. Sustainability2018; 10: 2671–2671.
23.
ShehzadNZeeshanAEllahiR. Electroosmotic flow of MHD power law Al2O3-PVC nanouid in a horizontal channel: Couette-Poiseuille flow model. Commun Theor Phys2018; 69: 655–655.
24.
SheikholeslamiMJafaryarMShafeeA, et al.Heat transfer of nanoparticles employing innovative turbulator considering entropy generation. J Heat Mass Transf2019; 136: 1233–1240.
25.
AlamriSZKhanAAAzeezM, et al.Effects of mass transfer on MHD second grade fluid towards stretching cylinder: a novel perspective of Cattaneo–Christov heat flux model. Phys Lett A2019; 383: 276–281.
26.
SheikholeslamiMGerdroodbaryMBMoradiM, et al.Application of neural network for estimation of heat transfer treatment of Al2O3-H2O nanofluid through a channel. Comput Methods Appl Mech Eng2019; 344: 1–12.
27.
JhorarRTripathiDBhattiMM, et al.Electroosmosis modulated biomechanical transport through asymmetric microfluidics channel. Indian J Phys2018; 92: 1229–1238.
28.
SoomroFAZaibAHaqRU, et al.Dual nature solution of water functionalized copper nanoparticles along a permeable shrinking cylinder: FDM approach. Int J Heat Mass Transf2019; 129: 1242–1249.
29.
ZeeshanAShehzadNAbbasT, et al.Effects of radiative electro-magnetohydrodynamics diminishing internal energy of pressure-driven flow of titanium dioxide-water nanofluid due to entropy generation. Entropy2019; 21: 236–236.
30.
GangawaneKMBhartiRP. Computational analysis of magneto-hydrodynamic natural convection in partially differentially heated cavity: effect of cooler size. Proc IMechE, Part C: J Mechanical Engineering Science2019; 232: 515–528.
31.
SheikholeslamiM. Numerical approach for MHD Al2O3-water nanofluid transportation inside a permeable medium using innovative computer method. Comput Methods Appl Mech Eng2019; 344: 306–318.
32.
SheikholeslamiM. New computational approach for exergy and entropy analysis of nanofluid under the impact of Lorentz force through a porous media. Comput Methods Appl Mech Eng2019; 344: 319–333.
33.
YousifMAIsmaelHFAbbasT, et al.Numerical study of momentum and heat transfer of MHD Carreau nanofluid over an exponentially stretched plate with internal heat source/sink and radiation. Heat Trans Res2019; 50: 649–658.
34.
SheikholeslamiMHaqRUShafeeA, et al.Heat transfer behavior of nanoparticle enhanced PCM solidification through an enclosure with V shaped fins. J Heat Mass Transf2019; 130: 1322–1342.
35.
SheikholeslamiMHaqRUShafeeA, et al.Heat transfer simulation of heat storage unit with nanoparticles and fins through a heat exchanger. J Heat Mass Transf2019; 135: 470–478.
36.
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.
37.
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.
38.
SheikholeslamiMShafeeAZareeiA, et al.Heat transfer of magnetic nanoparticles through porous media including exergy analysis. J Mol Liq2019; 279: 719–732.
39.
FalknerVMSkanSW. Some approximate solutions of the boundary-layer for flow past a stretching boundary. SIAM J Appl Math1931; 46: 1350–1358.
40.
RajagopalRGuptaASNaTY. A note on the Falkner-Skan flows of a non-Newtonian fluid. Int J Non-Linear Mech1983; 18: 313–320.
41.
YihKA. Uniform suction/blowing effect on forced convection about a wedge: uniform heat flux. Acta Mech1998; 128: 173–181.
42.
EllahiRAlamriSZBasitA, et al.Effects of MHD and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation. J Taibah Univ Sci2018; 12: 476–482.
43.
KhanMHashim. Effects of multiple slip on flow of magneto-Carreau fluid along wedge with chemically reactive species. Neural Comput Appl2018; 30: 2191–2203.
44.
HamidAHashimKhanM. Numerical simulation for heat transfer performance in unsteady flow of Williamson fluid driven by a wedge-geometry. Results Phys2018; 9: 479–485.
45.
DaswitaLNazarRIshakA, et al.Mixed convection boundary layer flow past a wedge with permeable walls. Heat Mass Transf2010; 46: 1013–1018.
46.
IshakANazarRPopI. MHD boundary-layer flow of a micropolar fluid past a wedge with constant wall heat flux. Commun Nonlinear Sci Numer Simul2009; 14: 109–118.
47.
DasSJanaRNMakindeOD. Mixed convective magnetohydrodynamic flow in a vertical channel filled with nanofluids. Eng Sci Technol Int J2015; 18: 244–255.
48.
KandasamyRMuhaiminIRosmilaAK. The performance evaluation of unsteady MHD non-Darcy nanofluid flow over a porous wedge due to renewable (solar) energy. Renew Energy2014; 64: 1–9.
49.
YihKA. MHD forced convection flow adjacent to a non-isothermal wedge. Int Commun Heat Mass Transf1999; 26: 819–827.
50.
ChamkhaAJMujtabaMQuadriA, et al.Thermal radiation effects on MHD forced convection flow adjacent to a non-isothermal wedge in the presence of a heat source or sink. Heat Mass Transf2003; 39: 305–312.
