Heat and mass transport through biaxial extending sheet with anisotropic slip and entropy/Bejan on the three-dimensional boundary layer hybrid nanofluid
Restricted accessResearch articleFirst published online April, 2024
Heat and mass transport through biaxial extending sheet with anisotropic slip and entropy/Bejan on the three-dimensional boundary layer hybrid nanofluid
A theoretical study of velocity slippery, thermal jump, and mass slippery influences in three-dimensional (3D) hybrid nanofluid flowing via a biaxial extending surface is presented. In the present study, a hybrid nanofluid composed of nanoparticles of both magnesium oxide (MgO) and copper oxide (CuO) was formed homogeneously in methanol as a conventional fluid. The controlling boundary layer equations (continuity, impetus, heat, and concentration) are transmuted into nonlinear ordinary differential equations (ODEs) by employing suitable similarity transformations. The numerical solutions were done with the help of bvp4c code in the MATLAB software. Impact of emergent parameters is presented on velocity profile, temperature, and concentration. The physical interest of drag force, Nusselt, and Sherwood numbers are displayed with various parameters. Validation of computations has been performed with published results. Our results suggest that a linear biaxial stretching sheet has a greater significant impact on flow boundary. When the size of the nanoparticles boosts, the velocity outlines decreases, and the thermal and the concentration boundary layers increase. By the increment in the Brownian diffusion parameter, the heat transmission rate reduces while the mass transport rate upsurges. Incrementation thermophoresis parameters works to reduce the heat and mass transmission rate.
CraneLJ. Flow past a stretching plate. J Appl Math Phys1970; 21: 645–647.
2.
GuptaPSGuptaAS. Heat and mass transfer on a stretching sheet with suction and blowing. Can J Chem Eng1977; 55: 744–746.
3.
DuttaBKRoyPGuptaAS. Temperature field in flow over a stretching sheet with uniform heat flux. Int Commun Heat Mass Transf1985; 12: 89–94.
4.
AndersonHIDandapatBS. Flow of a power law fluid over a stretching sheet. Stab Appl Anal Continuous Media1991; 1: 339–347.
5.
CortellR. Viscous flow and heat transfer over a nonlinearly stretching sheet. Appl Math Comput2007; 184: 864–873.
6.
MagyariEKellerB. Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface. J Phys D Appl Phys1999; 32: 577–585.
7.
ElbashbeshyEMA. Heat transfer over an exponentially stretching continuous surface with suction. Arch Mech2001; 53: 643–651.
8.
KhanSKSanjayanandE. Viscoelastic boundary layer flow and heat transfer over an exponential stretching sheet. Int J Heat Mass Transfer2005; 48: 1534–1542.
9.
ParthaMKMurthyPVSNRajasekharGP. Effect of viscous dissipation on the mixed convection heat transfer from an exponentially stretching surface. Heat Mass Transfer2005; 41: 360–366.
10.
IshakA. MHD Boundary layer flow due to an exponentially stretching sheet with radiation effect. Sains Malaysia2011; 40: 391–395.
11.
ChoiSUS. Enhancing thermal conductivity of fluids with nanoparticles. Proc ASME Int Mech Eng Congress Exposition1995; 66: 99–105.
12.
MasudaHEbataATeramaeK,et al.Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles (dispersion of γ-Al2O3, SiO2 and TiO2 ultra-fine particles). Netsu Bussei1993; 7: 227–233.
13.
BuongiornoJ. Convective transport in nanofluids. J Heat Transfer2006; 128: 240–250.
14.
NieldDAKuznetsovAV. The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Int J Heat Mass Transfer2009; 52: 5792–5795.
15.
KuznetsovAVNieldDA. Natural convective boundary layer flow of a nanofluid past a vertical plate. Int J Thermal Sci2010; 49: 243–247.
16.
TrisaksriVWongwisesS. Critical review of heat transfer characteristics of nanofluids. Renewable Sustainable Energy Rev2007; 11: 512–523.
17.
ÖzerinçSKakaçSYazIcIoğluAG. Enhanced thermal conductivity of nanofluids: a state-of-the-art review. Microfluid Nanofluid2010; 8: 145–170.
18.
WangXQMujumdarAS. Heat transfer characteristics of nanofluids: a review. Int J Thermal Scie2007; 46: 1–19.
19.
WangXQMujumdarAS. A review on nanofluids-part I: theoretical and numerical investigations. Braz J Chem Eng2008; 25: 613–630.
20.
LiYZhouJTungS,et al.A review on development of nanofluid preparation and characterization. Powder Technol2009; 196: 89–101.
21.
AbbasNMalikMYAlqarnMS,et al.Study of three-dimensional stagnation point flow of hybrid nanofluid over an isotropic slip surface. Physica A2020; 554: 124020.
22.
KhanIFatimaSMalikMY,et al.Exponentially varying viscosity of magnetohydrodynamic mixed convection Eyring-Powell nanofluid flow over an inclined surface. Results Phys2018; 8: 1194–1203.
23.
HalimNASivasankaranSNoorNM. Active and passive controls of the Williamson stagnation nanofluid flow over a stretching/shrinking surface. Neural Comput Appl2017; 28: 1023–1033.
24.
RamlyNASivasankaranSNoorNFM. Zero and nonzero normal fluxes of thermal radiative boundary layer flow of nanofluid over a radially stretched surface. Scientia Iranica2017; 24: 2895–2903.
25.
KasmaniRMSivasankaranSBhuvaneswariM,et al.Analytical and numerical study on convection of nanofluid past a moving wedge with Soret and Dufour effects. Int J Numer Methods Heat Fluid Flow2017; 27: 2333–2354.
26.
SureshSVenkitarajKPSelvakumarP,et al.Effect of Al2O3–Cu-water hybrid nanofluid in heat transfer. Exp Therm Fluid Sci2012; 38: 54–60.
27.
Syam SundaraLSharmaKVSinghMK,et al.Hybrid nanofluids preparation, thermal properties, heat transfer and friction factor–A review. Renewable Sustainable Energy Rev2017; 68: 185–198.
28.
DeviSPADeviSSU. Numerical investigation of hydromagnetic hybrid Cu-Al2O3-water nanofluid flow over a permeable stretching sheet with suction. Int J Nonlinear Sci Numer Simul2016; 17: 249–257.
29.
DeviSUSDeviSPA. Numerical investigation of three-dimensional hybrid Cu-Al2O3-water nanofluid flow over a stretching sheet with effecting Lorentz force subject to Newtonian heating. Can J Phys2016; 94: 490–496.
30.
WainiIIshakAPopI. Unsteady flow and heat transfer past a stretching/shrinking sheet in a hybrid nanofluid. Int J Heat Mass Transfer2019; 136: 288–297.
31.
PrasadVRRaoASReddyNB,et al.Modelling laminar transport phenomena in a Casson rheological fluid from a horizontal circular cylinder with partial slip. Proc Inst Mech Eng E: J Process Mech Eng2013; 227: 309–326.
32.
RashadAM. Impact of anisotropic slip on transient three-dimensional MHD flow of ferrofluid over an inclined radiate stretching surface. J Egypt Math Soc2017; 25: 230–237.
33.
WangCY. A fluid film sprayed on a three-dimensional stretching/shrinking sheet. Fluid Dyn Res2011; 43: 055501.
34.
WangCY. Stagnation flow on a plate with anisotropic slip. European Journal of Mechanics-B/Fluids2013; 38: 73–77.
35.
MustafaMMushtaqAHayatT,et al.Radiation effects in three-dimensional flow over a bi-directional exponentially stretching sheet. J Taiwan Inst Chem Eng2015; 47: 43–49.
36.
WangCY. Uniform flow over a bi-axial stretching surface. J Fluids Eng2015; 137: 084502.
37.
GrosanTPopI. Flow and heat transfer over a permeable biaxial stretching/shrinking sheet in a nanofluid. Neural Comput Appl2020; 32: 4575–4582.
38.
FawazEAHayatTKhanMI,et al.Heat transport and entropy optimization in flow of magneto-Williamson nanomaterial with Arrhenius activation energy. Comput Methods Programs Biomed2020; 183: 105051.
39.
BejanA. Entropy generation minimization: the new thermodynamics of finite size devices and finite-time processes. J Appl Phys1996; 79: 1191–1218.
40.
BejanA. Method of entropy generation minimization, or modeling and optimization based on combined heat transfer and thermodynamics. Rev Gen Therm1996; 35: 637–646.
41.
QayyumSHayatTKhanMI,et al.Optimization of entropy generation and dissipative nonlinear radiative von Karman’s swirling flow with Soret and Dufour effects. J Mol Liq2018; 262: 261–274.
42.
KhanMIHayatTWaqasM,et al.Entropy generation minimization (EGM) in nonlinear mixed convective flow of nanomaterial with Joule heating and slip condition. J Mol Liq2018; 256: 108–120.
43.
KhanMIHayatTKhanMI,et al.Numerical simulation of hydromagnetic mixed convective radiative slip flow with variable fluid properties: a mathematical model for entropy generation. J Phys Chem Solids2019; 125: 153–164.
44.
KhatamiSRahbarN. An analytical study of entropy generation in rectangular natural convective porous fins. Therm Sci Eng Prog2019; 11: 142–149.
45.
JiangYZhouX. Heat transfer and entropy generation analysis of nanofluids thermocapillary convection around a bubble in a cavity. Int Commun Heat Mass Transfer2019; 105: 37–45.
46.
HayatTKhanMIQayyumS,et al.Entropy generation for flow of Sisko fluid due to rotating disk. J Mol Liq2018; 264: 375–385.
47.
TianXWangL. Heat conduction in cylinders: entropy generation and mathematical inequalities. Int J Heat Mass Transfer2018; 121: 1137–1145.
48.
AlfaryjatAADobrovicescuAStanciuD. Influence of heat flux and Reynolds number on the entropy generation for different types of nanofluids in a hexagon microchannel heat sink. Chin J Chem Eng2019; 27: 501–513.
49.
ButtASMunawarSAliA,et al.Entropy generation in hydrodynamic slip flow over a vertical plate with convective boundary. J Mech Sci Technol2012; 26: 2977–2984.
50.
NoghrehabadiASaffarianMRPourrajabR,et al.Entropy analysis for nanofluid flow over a stretching sheet in the presence of heat generation/absorption and partial slip. J Mech Sci Technol2013; 27: 927–937.
51.
AbolbashariMHFreidoonimehrNNazariF,et al.Entropy analysis for an unsteady MHD flow past a stretching permeable surface in nanofluid. Powder Technol2014; 267: 256–267.
52.
NurAAUddinMJBasirMFM,et al.Three-dimensional bio- convection nanofluid flow from a bi-axial stretching sheet with anisotropic slip. Sains Malaysia2019; 48: 1137–1149.
53.
KhanJAMustafaMHayatT,et al.Three-dimensional flow of nanofluid over a non-linearly stretching sheet: an application to solar energy. Int J Heat Mass Transfer2015; 86: 158–164.
54.
KhanJAMustafaMHayatT,et al.Three-dimensional flow of nanofluid induced by an exponentially stretching sheet: an application to solar energy. PLoS One2015; 10: e0116603.
55.
TliliINabweyHASamratSP,et al.3D MHD nonlinear radiative flow of CuO-MgO-methanol hybrid nanofluid beyond an irregular dimension surface with slip effect. Sci Rep2020; 10: 9181.
56.
PalDMondalSMondalH. Entropy generation on MHD jeffrey nanofluid over a stretching sheet with nonlinear thermal radiation using spectral quasilinearization method. Int J Ambient Energy2019; 42: 1712–1726.
57.
RehmanSHaqRKhanZH,et al.Entropy generation analysis for non-Newtonian nanofluid with zero normal flux of nanoparticles at the stretching surface. J Taiwan Inst Chem Eng2016; 63: 226–235.
58.
AhmadSNadeemSUllahN. Entropy generation and temperature-dependent viscosity in the study of SWCNT–MWCNT hybrid nanofluid. Appl Nanosci2020; 10: 5107–5119.
59.
ShampineLFGladwellIThompsonS. Solving ODEs with MATLAB. Virginia City, Texas, United States: Cambridge University Press, 2003.
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