This research mainly focuses to study hydrothermal characteristics of magnetohydrodynamic nanofluid flow over a slippery permeable bended surface which is rotated in a circular cross-section with radius . In this nanofluid model, a nanoparticle concentration gradient is taken due to Brownian motion and thermophoretic force. Thermal conductivity and viscosity of nanofluid are a function of the local volume fraction of the nanoparticle. The system includes the most important parameters such as viscous dissipation and internal heat absorption (or) generation. For the supposed flow governing equations are formulated and then converted to a nonlinear system and resulted system is numerically evaluated with bvp4c in Matlab package. Multiple streamlines and three-dimensional graphics are provided to improve the results. The results obtained show that as the magnetic parameter values increase, the magnitude of the velocity field decreases and the pressure in the boundary layer decreases. Further, the parameters Brownian motion and thermophoresis increase the fluid temperature tends and the concentration should increase as the value of the slip parameter increases.
ChoiSUS. Enhancing thermal conductivity of fluids with nanoparticles. In: SiginerDAWangHP (eds) Developments and applications of non-Newtonian flows. New York: ASME, 1995, p.66.
2.
SajidMUAliHM. Recent advances in application of nanofuids in heat transfer devices: a critical review. Renew Sustain Energy Rev2019; 103: 556–592.
3.
KhanMSAbidMAliHM, et al.Comparative performance assessment of solar dish assisted s-CO2Brayton cycle using nanofluids. Appl Therm Eng2019; 148: 295–306.
4.
EsfeMHAfrandM. A review on fuel cell types and the application of nanofluid in their cooling. J Therm Anal Calorim2020; 140: 1633–1654.
5.
XuanYLiQ. Heat transfer enhancement of nanofluids. Int J Heat Fluid Flow2000; 21: 58–64.
6.
OztopHFAbu-NadaE. Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int J Heat Fluid Flow2008; 29: 1326–1336.
7.
HayatTQayyumSKhanMI, et al.Current progresses about probable error and statistical declaration for radiative two phase flow using Ag-H2O and Cu-H2O nanomaterials. Int J Hydrogen Energy2017; 42: 29107–29120.
8.
TurkyilmazogluMPopI. Soret and heat source effects on the unsteady radiative MHD free convection from an impulsively started infinite vertical plate. Int J Heat Mass Transf2012; 55: 7635–7644.
9.
AltawallbehABhadauriaBSHashimI. Linear and nonlinear double-diffusive convection in a saturated anisotropic porous layer with Soret effect and internal heat source. Int J Heat Mass Transf2013; 59: 103–111.
10.
ZiaQMUllahIWaqasM, et al.Cross diffusion and exponential space dependent heat source impacts in radiated three-dimensional (3D) flow of Casson fluid by heated surface. Results Phys2018; 8: 1275–1282.
11.
SabaFAhmedNHussainS, et al.Thermal analysis of nanofluid flow over a curved stretching surface suspended by carbon nanotubes with internal heat generation. Appl Sci2018; 8: 395.
12.
NagarajaBGireeshaBJ. Exponential space-dependent heat generation impact on MHD convective flow of Casson fluid over a curved stretching sheet with chemical reaction. J Therm Anal Calorim2021; 143: 4071–4079.
13.
GangadharKVenkata RamanaKVenkata Subba RaoM, et al.Internal heat generation on bioconvection of an MHD nanofluid flow due to gyrotactic microorganisms. Eur Phys J Plus2020; 135: 600.
14.
SajidMAliNJavedT, et al.Stretching a curved surface in a viscous fluid. Chin Phys Lett2010; 27: 024703.
15.
SanniKMAsgharSJalilM, et al.Flow of viscous fluid along a nonlinearly stretching curved surface. Results Phys2017; 7: 1–4.
16.
AcharyaNMaboodF. On the hydrothermal features of radiative Fe3O4-graphene hybrid nanofluid flow over a slippery bended surface with heat source/sink. J Therm Anal Calorim2021; 143: 1273–1289.
17.
ImtiazMNazarHHayatT, et al.Soret and Dufour effects in the flow of viscous fluid by a curved stretching surface. Pramana2020; 94: 48.
18.
NadeemSAbbasNMalikMY. Inspection of hybrid based nanofluid flow over a curved surface. Comput Methods Programs Biomed2020; 189: 105193.
19.
Ijaz KhanMKhanSAHayatT, et al.Entropy generation analysis in MHD flow of viscous fluid by a curved stretching surface with cubic autocatalysis chemical reaction. Eur Phys J Plus2020; 135: 249.
20.
SaifRSMuhammadTSadiaH, et al.Boundary layer flow due to a nonlinear stretching curved surface with convective boundary condition and homogeneous-heterogeneous reactions. Phys A: Stat Mech Appl2020; 551: 123996.
21.
AhmadLKhanM. Numerical simulation for MHD flow of Sisko nanofluid over a moving curved surface: a revised model. Microsyst Technol2019; 25: 2411–2428.
22.
ImtiazMHayatTAlsaediA. MHD convective flow of Jeffrey fluid due to a curved stretching surface with homogeneous-heterogeneous reactions. PLoS One2016; 11: e0161641.
23.
SajidMAbbasZAliN, et al.Slip flow of Maxwell fluid past a stretching sheet. Walailak J Sci Technol2014; 11: 1093–1103.
24.
HinaS. MHD peristaltic transport of Eyring-Powell fluid with heat/mass transfer, wall properties and slip conditions. J Magn Magn Mater2016; 404: 148–158.
25.
MegahedAM. MHD viscous Casson fluid flow and heat transfer with second-order slip velocity and thermal slip over a permeable stretching sheet in the presence of internal heat generation/absorption and thermal radiation. Eur Phys J Plus2015; 130: 81.
26.
AbbasbandySMustafaMHayatT, et al.Slip effects on MHD boundary layer flow of Oldroyd-B fluid past a stretching sheet: an analytic solution. J Braz Soc Mech Sci Eng2017; 39: 3389–3397.
27.
KumarRSoodSRajuCSK, et al.Hydromagnetic unsteady slip stagnation flow of nanofluid with suspension of mixed bio-convection. Propuls Power Res2019; 8: 362–372.
28.
MustafaM. MHD nanofluid flow over a rotating disk with partial slip effects: Buongiorno model. Int J Heat Mass Transf2017; 108: 1910–1916.
29.
TliliIRamzanMNisaHU, et al.Onset of gyrotactic microorganisms in MHD micropolar nanofluid flow with partial slip and double stratification. J King Saud Univ Sci2020; 32: 2741–2751.
30.
MalekiHAlsarrafJMoghanizadehA, et al.Heat transfer and nanofluid flow over a porous plate with radiation and slip boundary conditions. J Cent South Univ2019; 26: 1099–1115.
31.
MaboodFDasK. Melting heat transfer on hydromagnetic flow of a nanofluid over a stretching sheet with radiation and second-order slip. Eur Phys J Plus2016; 131:3.
32.
AbbasZNaveedMSajidM. Heat transfer analysis for stretching flow over a curved surface with magnetic field. J Eng Thermophys2013; 22: 337–345.
33.
AfridiMIQasimMWakifA, et al.Second law analysis of dissipative nanofluid flow over a curved surface in the presence of Lorentz force: utilization of the Chebyshev-Gauss-Lobatto spectral method. Nanomater2019; 9: 195.
34.
NaveedMAbbasZSajidM. Thermophoresis and Brownian effects on the Blasius flow of a nanofluid due to a curved surface with thermal radiation. Eur Phys J Plus2016; 131: 214.
35.
Riaz KhanMPanKKhanAU, et al.Comparative study on heat transfer in CNTs-water nanofluid over a curved surface. Int Commun Heat Mass Transf2020; 116: 104707.
36.
LiXKhanAUKhanMR, et al.Oblique stagnation point flow of nanofluids over stretching/shrinking with Cattaneo-Christov heat flux model: existence of dual solution. Symmetry (Basel)2019; 11: 1070.
37.
NadeemSRiaz KhanMKhanAU. MHD stagnation point flow of viscous nanofluid over a curved surface. Phys Scr2019; 94: 115207.
38.
Riaz KhanMPanKKhanAU, et al.Dual solutions for mixed convection flow of SiO2-Al2O3/water hybrid nanofluid near the stagnation point over a curved surface. Phys A: Stat Mech Appl2020; 547: 123959.
39.
QaiserDZhengZRiaz KhanM. Numerical assessment of mixed convection flow of Walters-B nanofluid over a stretching surface with Newtonian heating and mass transfer. Therm Sci Eng Prog2021; 22: 100801.
40.
KhanMR. Numerical analysis of oblique stagnation point flow of nanofluid over a curved stretching/shrinking surface. Phys Scr2020; 95: 105704.
41.
LiYXAlshboolHLvYP, et al.Heat and mass transfer in MHD Williamson nanofluid flow over an exponentially porous stretching surface. Case Stud Therm Eng2021; 26: 100975.
42.
NadeemSRiaz KhanMKhanAU. MHD Oblique stagnation point flow of nanofluid over an oscillatory stretching/shrinking sheet: existence of dual solutions. Phys Scr2019; 94: 075204.
43.
AliRRiaz KhanMAbidiA, et al.Application of PEST and PEHF in magneto-Williamson nanofluid depending on the suction/injection. Case Stud Therm Eng2021; 27: 101329.
44.
ZhaoTKhanMRChuY, et al.Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid. Appl Math Mech2021; 42: 1205–1218.
45.
HussainARehmanANadeemS, et al.A computational model for the radiated kinetic molecular postulate of fluid-originated nanomaterial liquid flow in the induced magnetic flux regime. Math Prob Eng2021; 2021: 6690366.
46.
NakhchiMEHatamiMRahmatiM. Effects of CuO nano powder on performance improvement and entropy production of double-pipe heat exchanger with innovative performed turbulators. Adv Powder Technol2021; 32: 3063–3074.
47.
NakhchiMEHatamiMRahmatiM. Experimental investigation of performance improvement of double-pipe heat exchangers with novel perforated elliptic turbulators. Int J Therm Sci2021; 168: 107057.
48.
HatamiMSheikholeslamiMDomairryG. High accuracy analysis for motion of a spherical particle in plane Couette fluid flow by multi-step differential transformation method. Powder Technol2014; 260: 59–67.
49.
SongDHatamiMWangY, et al.Prediction of hydrodynamic and optical properties of TiO2/water suspension considering particle size distribution. Int J Heat Mass Transf2016; 92: 864–876.
50.
HatamiMSafariH. Effect of inside heated cylinder in the natural convection heat transfer if nanofluids in a wavy-wall enclosure. Int J Heat Mass Transf2016; 103: 1053–1057.
51.
HatamiM. Numerical study of nanofluids natural convection in a rectangular cavity including heated fins. J Mol Liq2017; 233: 1–8.
52.
GhasemiSEVataniMHatamiM, et al.Analytical and numerical investigation of nanoparticle effect on peristaltic fluid flow in drug delivery systems. J Mol Liq2016; 215: 88–97.
53.
MosayebidorchehSHatamiM. Analytical investigation of peristaltic nanofluid flow and heat transfer in an asymmetric wavy wall channel (part I: straight channel). Int J Heat Mass Transf2018; 126: 790–799.
54.
HatamiMGanjiDD. Motion of a spherical particle in a fluid forced vortex DQM and DTM. Particuology2014; 16: 206–212.
55.
PourmehranORahimi-GorjiMHatamiM, et al.Numerical optimization of microchannel heat sink (MCHS) performance cooled by KKL based nanofluids in saturated porous medium. J Taiwan Inst Chem Eng2015; 55: 49–68.
56.
HatamiMSongDJingD. Optimization of a circular-wavy cavity filled by nanofluid under the natural convection heat transfer condition. Int J Heat Mass Transf2016; 98: 758–767.
57.
HatamiM. Nanoparticle migration around the heated cylinder during the RSM optimization of a wavy-wall enclosure. Adv Powder Technol2017; 28: 890–899.
58.
ZhangLBhattiMMMichaelidesEE, et al. Hybrid nanofluid flow towards an elastic surface with tantalum and nickel nanoparticles, under the influence of an induced magnetic field. Eur Phys J Spec Top2022; 231: 521–533.
59.
BhattiMMAl-KhaledKKhanSU, et al. Darcy-Forchheimer higher-order slip flow of Eyring-Powell nanofluid with nonlinear thermal radiation and bioconvection phenomenon. J Dispers Sci Technol2021: 1–11. DOI: 10.1080/01932691.2021.1942035.
60.
KhanSUAl-KhaledKBhattiMM. Bioconvection analysis for flow of Oldroyd-B nanofluid configured by a convectively heated surface with partial slip effects. Surf Interfaces2021; 23: 100982.
61.
NadeemMSiddiqueIJaradF, et al. Numerical study of MHD third-grade fluid flow through an inclined channel with Ohmic heating under fuzzy environment. Math Prob Eng2021; 2021:9137479.
62.
BilalMHussainSSagheerM. Boundary layer flow of magneto-micropolar nanofluid flow with Hall and ion-slip effects using variable thermal diffusivity. Bull Pol Acad Sci: Tech Sci2017; 65: 383–390.
63.
DasMMahathaBKNandkeolyarR, et al.Double-diffusive mixed convection flow towards a convectively heated stretching sheet with nonlinear thermal radiation. Int J Heat Technol2018; 36: 1015–1024.
64.
RamzanMBilalMChungJD. Radiative Williamson nanofluid flow over a convectively heated Riga plate with chemical reaction-A numerical approach. Chin J Phys2017; 55: 1663–1673.
65.
RamzanMBilalMKanwalS, et al.Effects of variable thermal conductivity and non-linear thermal radiation past an Eyring Powell nanofluid flow with chemical reaction. Commun Theor Phys2017; 67: 723.
66.
BilalMSagheerMHussainS, et al.MHD Stagnation point flow of Williamson fluid over a stretching cylinder with variable thermal conductivity and homogeneous/heterogeneous reaction. Commun Theor Phys2017; 67: 688.
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