Entropy generation analysis of mixed-convective flow of magnetohydrodynamic reactive couple stress MWCNT-Ag/C2H6O2 hybrid nanofluid with variable properties in a porous vertical channel
Restricted accessResearch articleFirst published online 2024
Entropy generation analysis of mixed-convective flow of magnetohydrodynamic reactive couple stress MWCNT-Ag/C2H6O2 hybrid nanofluid with variable properties in a porous vertical channel
The paper presents the analysis of the mixed convective magnetohydrodynamic (MHD) flow of reactive couple stress hybrid nanofluid with temperature-dependent thermophysical properties in a porous vertical channel. The considered hybrid nanofluid is produced by mixing multi-walled carbon nanotubes (MWCNT) and silver () nanoparticles in base fluid ethylene glycol () considering the base fluid and the nanoparticles in a thermal equilibrium state. The effect of the magnetic field is considered transverse to the channel walls having constant temperatures. The momentum and energy equations that govern the system are defined using the Darcy-Forchheimer model and are non-nondimensionalized applying relevant dimensionless parameters and solved using the homotopy analysis method (HAM). To analyze the irreversibilities in the system, entropy generation, and the Bejan numbers are defined. Different significant physical parameters arising in the system are considered for the analysis and its effects are scrutinized on the velocity and temperature profiles along with entropy generation. The results show that the velocity and temperature develop in the system with rising variable viscosity and thermal conductivity parameters, and Darcy number whereas it degrades with rising nanoparticle concentration. The rate of entropy generation develops with rising variable viscosity and thermal conductivity parameters and Darcy number whereas it degrades with higher nanoparticles concentration.
BejanA.Second law analysis in heat transfer. Energy1980; 5(8–9): 720–732.
2.
BejanAKestinJ.Entropy generation through heat and fluid flow. J Appl Mech1983; 50(2): 475.
3.
KandlikarSGarimellaSLiD, et al. Heat transfer and fluid flow in minichannels and microchannels. Amsterdam: Elsevier, 2005.
4.
KandlikarSGGrandeWJ.Evolution of microchannel flow passages–thermohydraulic performance and fabrication technology. Heat Transf Eng2003; 24(1): 3–17.
5.
ChamkhaAJ. Unsteady laminar hydromagnetic fluid–particle flow and heat transfer in channels and circular pipes. Int J Heat Fluid Flow2000; 21(6): 740–746.
6.
UmavathiJCChamkhaAJMateenA, et al. Unsteady two-fluid flow and heat transfer in a horizontal channel. Heat Mass Transf2005; 42(2): 81–90.
7.
ChamkhaAJGroşanTPopI. Fully developed free convection of a micropolar fluid in a vertical channel. Int Commun Heat Mass Transf2002; 29(8): 1119–1127.
8.
StokesVK. Couple stresses in fluids. In: StokesVK (ed.) Theories of fluids with microstructure: an introduction. Berlin, Heidelberg: Springer, 1984, pp.34–80.
9.
DevakarMSreenivasuDShankarB. Analytical solutions of couple stress fluid flows with slip boundary conditions. Alex Eng J2014; 53(3): 723–730.
10.
AdesanyaSOMakhalemeleCRundoraL. Natural convection flow of heat generating hydromagnetic couple stress fluid with time periodic boundary conditions. Alex Eng J2018; 57(3): 1977–1989.
11.
KhaledARVafaiK. The role of porous media in modeling flow and heat transfer in biological tissues. Int J Heat Mass Transf2003; 46(26): 4989–5003.
12.
ChamkhaAJAl-NaserH. Double-diffusive convection in an inclined porous enclosure with opposing temperature and concentration gradients. Int J Therm Sci2001; 40(3): 227–244.
13.
ChamkhaAJ. Non-Darcy fully developed mixed convection in a porous medium channel with heat generation/absorption and hydromagnetic effects. Numer Heat Transf A Appl1997; 32(6): 653–675.
14.
MakindeODEegunjobiAS. Entropy generation in a couple stress fluid flow through a vertical channel filled with saturated porous media. Entropy2013; 15(11): 4589–4606.
15.
MakindeODEegunjobiAS. MHD couple stress nanofluid flow in a permeable wall channel with entropy generation and nonlinear radiative heat. J Therm Sci Technol2017; 12(2): JTST0033.
16.
SindhuSGireeshaB. Entropy generation analysis of hybrid nanofluid in a microchannel with slip flow, convective boundary and nonlinear heat flux. Int J Numer Methods Heat Fluid Flow2021; 31(1): 53–74.
17.
KareemSAdesanyaSVincentUE. Second law analysis for hydromagnetic couple stress fluid flow through a porous channel. Alex Eng J2016; 55(2): 925–931.
18.
ZaidiHNYousifMNazia NasreenS. Effects of thermal radiation, heat generation, and induced magnetic field on hydromagnetic free convection flow of couple stress fluid in an isoflux-isothermal vertical channel. J Appl Math2020; 2020: 1–12.
19.
HassanARDisuABFenugaOJ. Entropy generation effect of a buoyancy force on hydromagnetic heat generating couple stress fluid through a porous medium with isothermal boundaries. Heliyon2020; 6(6): e04156.
20.
ChoiSUEastmanJA. Enhancing thermal conductivity of fluids with nanoparticles. Technical Report, Argonne National Laboratory (ANL), Argonne, IL, 1995.
21.
SheikhpourMArabiMKasaeianA, et al. Role of nanofluids in drug delivery and biomedical technology: methods and applications. Nanotechnol Sci Appl2020; 13: 47–59.
22.
WongKVDe LeonO. Applications of nanofluids: current and future. Adv Mech Eng2010; 2: 519659.
23.
SheremetMA. Applications of nanofluids. Nanomaterials (Basel)2021; 11(7): 1716.
24.
LopezAIbanezGPantojaJ, et al. Entropy generation analysis of mhd nanofluid flow in a porous vertical microchannel with nonlinear thermal radiation, slip flow and convective-radiative boundary conditions. Int J Heat Mass Transf2017; 107: 982–994.
25.
RazaJMebarek-OudinaFChamkhaAJ. Magnetohydrodynamic flow of molybdenum disulfide nanofluid in a channel with shape effects. Multidiscip Model Mater Struct2019; 15(4): 737–757.
26.
SarkarJGhoshPAdilA. A review on hybrid nanofluids: recent research, development and applications. Renew Sustain Energy Rev2015; 43: 164–177.
27.
JamilFAliHM. Applications of hybrid nanofluids in different fields. In: AliHM (ed.) Hybrid nanofluids for convection heat transfer. Amsterdam: Elsevier, 2020, pp.215–254.
28.
DasSJanaRNMakindeOD. MHD flow of Cu-Al2O3/water hybrid nanofluid in porous channel: analysis of entropy generation. Defect Diffus Forum2017; 377: 42–61.
29.
HuminicGHuminicA. Entropy generation of nanofluid and hybrid nanofluid flow in thermal systems: a review. J Mol Liq2020; 302: 112533.
30.
GireeshaBVenkateshPAlmeidaF. Entropy scrutiny of couple stress nanoliquid flow with slip and convective conditions in an upright microchannel. Phys Scr2021; 96(4): 045302.
31.
ElsaidEMAbdel-wahedMS. Mixed convection hybrid-nanofluid in a vertical channel under the effect of thermal radiative flux. Case Stud Therm Eng2021; 25: 100913.
32.
ElsaidEMAbdel-wahedMS. MHD mixed convection Ferro Fe3O4/Cu-hybrid-nanofluid runs in a vertical channel. Chin J Phys2022; 76: 269–282.
33.
AkbarYAkramUAunM, et al. MHD peristaltic transportation of radiative MWCNT-Ag/C2H6O2 hybrid nanofluid with variable characteristics. Mater Today Commun2021; 28: 102681.
34.
MahatoNBanerjeeSMJanaRN, et al. MoS2-SiO2/EG hybrid nanofluid transport in a rotating channel under the influence of a strong magnetic dipole (Hall effect). Multidiscip Model Mater Struct2020; 16(6): 1595–1616.
35.
DasSMahatoNAliA, et al. Dynamical behaviour of magneto-copper-titania/water-ethylene glycol stream inside a gyrating channel. Chem Phys Lett2022; 793: 139476.
36.
DasSSarkarSJanaRN. Feature of entropy generation in Cu-Al2O3/ethylene glycol hybrid nanofluid flow through a rotating channel. Bionanoscience2020; 10(4): 950–967.
37.
DasSChakrabortySJanaRN. Entropy analysis of Poiseuille nanofluid flow in a porous channel with slip and convective boundary conditions under magnetic field. World J Eng2021; 18(6): 870–885.
38.
MushaharyPSurenderO. Mixed convective magnetohydrodynamic and thermally radiative flow of reactive couple stress MWCNT–Ag/C2H6O2 hybrid nanofluid in a porous vertical channel: entropy analysis. Phy Fluids2023; 35(12): 123114.
39.
JensenF. Activation energies and the Arrhenius equation. Qual Reliab Eng Int1985; 1(1): 13–17.
40.
ChinyokaTMakindeO. Buoyancy effects on unsteady MHD flow of a reactive third-grade fluid with asymmetric convective cooling. J Appl Fluid Mech2015; 8(4): 931–941.
41.
AdesanyaSOKareemSOFaladeJA, et al. Entropy generation analysis for a reactive couple stress fluid flow through a channel saturated with porous material. Energy2015; 93: 1239–1245.
42.
AdesanyaSOOgunseyeHLebeloR, et al. Second law analysis for nonlinear convective flow of a reactive couple stress fluid through a vertical channel. Heliyon2018; 4(11): e00907.
43.
HassanARAdesanyaSOLebeloRS, et al. Irreversibility analysis for a mixed convective flow of a reactive couple stress fluid flow through channel saturated porous materials. Int J Heat Technol2017; 35(1): 633.
44.
HassanAR. The entropy generation analysis of a reactive hydromagnetic couple stress fluid flow through a saturated porous channel. Appl Math Comput2020; 369: 124843.
45.
AdeosunAGbadeyanJTitiloyeE. Heat and mass transfer of a nonlinear convective arrhenius reactive fluid flow between two vertical plates filled with a porous material. Eur Phy J Plus2020; 135: 1–17.
46.
DasSMahatoNAliA, et al. Aspects of Arrhenius kinetics and Hall currents on gyratory Couette flow of magnetized ethylene glycol containing bi-hybridized nanomaterials. Heat Transf2023; 52(4): 2995–3026.
47.
HerwigHWickernG. The effect of variable properties on laminar boundary layer flow. Wärme-und Stoffübertragung1986; 20(1): 47–57.
48.
LaiFKulackiF. The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium. Int J Heat Mass Transf1990; 33(5): 1028–1031.
49.
UmavathiJCChamkhaAMohiuddinS. Combined effect of variable viscosity and thermal conductivity on free convection flow of a viscous fluid in a vertical channel. Int J Numer Methods Heat Fluid Flow2016; 51: 71–86.
50.
UmavathiJSheremetMAMohiuddinS. Combined effect of variable viscosity and thermal conductivity on mixed convection flow of a viscous fluid in a vertical channel in the presence of a first order chemical reaction. Eur J Mech B Fluids2016; 58: 98–108.
51.
JangiliSAdesanyaSOOgunseyeHA, et al. Couple stress fluid flow with variable properties: a second law analysis. Math Methods Appl Sci2019; 42(1): 85–98.
52.
LiaoS. Beyond perturbation: introduction to the homotopy analysis method. Boca Raton, FL: Chapman and Hall/CRC, 2003.
KrishnaMVChamkhaAJ. Hall and ion slip effects on unsteady MHD convective rotating flow of nanofluids—application in biomedical engineering. J Egypt Math Soc2020; 28(1): 1.
55.
KrishnaMVSwarnalathammaBVChamkhaAJ. Investigations of Soret, Joule, and Hall effects on MHD rotating mixed convective flow past an infinite vertical porous plate. J Ocean Eng Sci2019; 4(3): 263–275.
