The utility of convergent/divergent channel driven flow to improve the effectiveness of heat transport rate in industrial and engineering systems is diverse. This motivates us to disclose hybrid nanofluid flow features through non-parallel walls under hydro-magnetic aspect. The modified Darcian (Darcy–Forchheimer) expression is utilized for formulation. Reflection of improved Darcian form modifies the expression of velocity via square of velocity term. The effects of temperature jump and viscous dissipation are implemented in energy expression. Additionally, the slip flow phenomenon under the stretching/shrinking characteristics is studied. The analysis is carried out under the theory of boundary layer. Significant variables are implemented to acquire the dimensionless mathematical expressions. Dimensionless problem is tackled through a well-known homotopy technique. To observe the upshots of numerous pertinent parameters upon non-dimensional profiles of velocity and temperature, the graphs are plotted for both convergent/divergent channels. The heat transfer rate as well as drag force is also analyzed. In this study, it is concluded that temperature field rises in both divergent/convergent channels for dominant thermal slip parameter. Moreover, inertia parameter effects are seen weaker in converging channel for the velocity profile, while opposite trend is observed for diverging channel.
ChoiSUEastmanJA. Enhancing thermal conductivity of fluids with nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29). IL (United States): Argonne National Lab., 1995.
2.
ManjunathaSKuttanBAJayanthiS,et al.Heat transfer enhancement in the boundary layer flow of hybrid nanofluids due to variable viscosity and natural convection. Heliyon2019; 5: e01469.
3.
AbdelsalamSIMekheimerKSZaherAZ. Alterations in blood stream by electroosmotic forces of hybrid nanofluid through diseased artery: aneurysmal/stenosed segment. Chin. J. Phys2020; 67: 314–329.
4.
WainiIIshakAPopI. Flow and heat transfer of a hybrid nanofluid past a permeable moving surface. Chin. J. Phys2020; 66: 606–619.
5.
AbumandourRMEldesokyIMKamelMH,et al.Peristaltic thrusting of a thermal-viscosity nanofluid through a resilient vertical pipe. Z. Naturforsch2020; 75: 727–738.
6.
HafeezMKhanM. Jeffery–hamel flow of hybrid nanofluids in convergent and divergent channels with heat transfer characteristics. Appl. Nanosci2020; 10: 5459–5468.
7.
RameshGKShehzadSATliliI. Hybrid nanomaterial flow and heat transport in a stretchable convergent/divergent channel: a darcy-forchheimer model. Appl. Math. Mech2020; 41: 699–710.
8.
KhanUAhmedNMohyud-DinST,et al.A novel hybrid model for Cu–Al2O3/H2O nanofluid flow and heat transfer in convergent/divergent channels. Energies2020; 13: 1686.
9.
RashidUIqbalALiangH,et al.Dynamics of water conveying zinc oxide through divergent-convergent channels with the effect of nanoparticles shape when joule dissipation are significant. Plos One2021; 16: e0245208.
10.
UllahHHayatTAhmadS,et al.Numerical simulation of MHD hybrid nanofluid flow by a stretchable surface. Chin. J. Phys2021; 71: 597–609.
11.
HussainAHassanAAl MdallalQ,et al.Heat transport investigation of magneto-hydrodynamics (SWCNT-MWCNT) hybrid nanofluid under the thermal radiation regime. Case Stud. Therm. Eng2021; 27: e101244.
12.
KhanUWainiIIshakA,et al.Unsteady hybrid nanofluid flow over a radially permeable shrinking/stretching surface. J. Mol. Liq2021; 331: e115752.
13.
Abd ElmaboudYMekheimerKSAbdelsalamSI. A study of nonlinear variable viscosity in finite-length tube with peristalsis. Appl. Bionics. Biomech2014; 11: 197–206.
14.
RazaRMaboodFNazR,et al.Thermal transport of radiative williamson fluid over stretchable curved surface. Therm. Sci. Eng. Prog.2021; 23: e100887.
15.
BhattiMMAlamriSZEllahiR,et al.Intra-uterine particle–fluid motion through a compliant asymmetric tapered channel with heat transfer. J Therm Anal Calorim2021; 144: 2259–2267.
16.
BhattiMMAbdelsalamSI. Thermodynamic entropy of a magnetized Ree-eyring particle-fluid motion with irreversibility process: a mathematical paradigm. J. Appl. Math. Mech2021; 10: e202000186.
17.
BiswasNMandalDKMannaNK,et al.Magnetohydrodynamic thermal characteristics of water-based hybrid nanofluid-filled non-darcian porous wavy enclosure: effect of undulation. Int. J. Numer. Method. H2021. https://doi.org/10.1108/HFF-03-2021-0190
18.
BiswasNMannaNKChamkhaAJ,et al.Effect of surface waviness on MHD thermo-gravitational convection of Cu − Al2O3 − water hybrid nanofluid in a porous oblique enclosure. Phys. Scr2021; 96: e105002.
19.
Mohyud-DinSTKhanUAhmedN,et al.A study of velocity and temperature slip effects on flow of water based nanofluids in converging and diverging channels. Int. J. Appl. Comp. Math2015; 1: 569–587.
20.
BenosLTMahabaleshwarUSSakanakaPH,et al.Thermal analysis of the unsteady sheet stretching subject to slip and magnetohydrodynamic effects. Therm. Sci. Eng. Prog2019; 13: e100367.
21.
EldesokyIMAbdelsalamSIEl-AskaryWA,et al.The integrated thermal effect in conjunction with slip conditions on peristaltically induced particle-fluid transport in a catheterized pipe. J. Porous. Media2020; 23: 695–713.
22.
HussainFAbdalSAbbasZ, et al.Buoyancy effect on MHD slip flow and heat transfer of a nanofluid flow over a vertical porous plate. Sci. Inq. Rev2020; 4: 01–16.
23.
SadiqMAHaiderFHayatT,et al.Partial slip in darcy-forchheimer carbon nanotubes flow by rotating disk. Int. Commun. Heat Mass Transf2020; 116: e104641.
24.
MajeedAAminNZeeshanA,et al.Numerical investigation on activation energy of chemically reactive heat transfer unsteady flow with multiple slips. Int. J. Numer. Method. H2020; 30: 4955–4977.
25.
PoplyVGoyalRSharmaN. Analysis of the velocity, thermal, and concentration MHD slip flow over a nonlinear stretching cylinder in the presence of outer velocity. Heat Transf2021; 50: 1543–1569.
26.
KumarTS. Hybrid nanofluid slip flow and heat transfer over a stretching surface. Partial. Differ. Equ. Appl. Math2021; 4: e100070.
27.
RameshGKMadhukeshJK. Activation energy process in hybrid CNTs and induced magnetic slip flow with heat source/sink. Chin. J. Phys2021; 73: 375–390.
28.
YatimMSMZakariaIARoslanMF,et al.Heat transfer and pressure drop characteristics of hybrid Al2O3-SiO2. J. Mech. Eng2021; 18: 145–159.
29.
RanaPShuklaNGuptaY,et al.Analytical prediction of multiple solutions for MHD jeffery–hamel flow and heat transfer utilizing KKL nanofluid model. Phys Lett A2019; 383: 176–185.
30.
Ganesh KumarKShehzadSAAmbreenT,et al.Heat transfer augmentation in water-based TiO2 nanoparticles through a converging/diverging channel by considering darcy-forchheimer porosity. Rev. Mex. de Fis.2019; 65: 373–381.
31.
EldesokyIMAbdelsalamSIEl-AskaryWA,et al.Joint effect of magnetic field and heat transfer on particulate fluid suspension in a catheterized wavy tube. Bionanoscience2019; 9: 723–739.
32.
Abd ElmaboudYAbdelsalamSI. DC/AC magnetohydrodynamic-micropump of a generalized Burger's Fluid in an annulus. Phys. Scr2019; 94: e115209.
33.
OnyangoERKinyanjuiMNKimathiM,et al.Heat and mass transfer on MHD jeffrey–hamel flow in presence of inclined magnetic field. Appl. Comput. Math2020; 9: 108–117.
34.
AkinshiloATIlegbusiAAliHM,et al.Heat transfer analysis of nanofluid flow with porous medium through jeffery hamel diverging/converging channel. J. Appl. Comput. Mech2020; 6: 433–444.
35.
AbdelsalamSIVelasco-HernándezJXZaherAZ. Electro-magnetically modulated self-propulsion of swimming sperms via cervical canal. Biomech. Model. Mechanobiol2021; 20: 861–878.
36.
JasimAM. New analytical study for nanofluid between two non-parallel plane walls (jeffery-hamel flow). J. Appl. Comput. Mech2021; 7: 213–224.
37.
WaqasHFarooqUBukhariFF,et al.Chemically reactive transport of magnetized hybrid nanofluids through darcian porous medium. Case Stud. Therm. Eng2021; 28: e101431.
38.
DasACNasaQNT. Analysis of magnetohydrodynamic jeffery-hamel flow in a convergent-divergent channel using Cu-water nanofluid. J. Eng. Sci2021; 12: 79–92.
39.
MandalDKBiswasNMannaNK,et al.Role of surface undulation during mixed bioconvective nanofluid flow in porous media in presence of oxytactic bacteria and magnetic fields. Int. J. Mech. Sci2021; 211: e106778.
40.
BiswasNMannaNKMandalDK,et al.Magnetohydrodynamic mixed bioconvection of oxytactic microorganisms in a nanofluid-saturated porous cavity heated with a bell-shaped curved bottom. Int. J. Numer. Method. H2021. https://doi.org/10.1108/HFF-10-2020-0668
41.
MannaNKBiswasN. Magnetic force vectors as a new visualization tool for magnetohydrodynamic convection. International J. Therm. Sci.2021; 167: e107004.
42.
BiswasNMannaNKDattaP,et al.Analysis of heat transfer and pumping power for bottom-heated porous cavity saturated with Cu-water nanofluid. Powder Technol2018; 326: 356–369.
43.
MondalMKBiswasNMannaNK,et al.Enhanced magnetohydrodynamic thermal convection in a partially driven cavity packed with a nanofluid-saturated porous medium. Math. Methods Appl. Sci.2021. https://doi.org/10.1002/mma.7280
44.
MannaNKMondalCBiswasN,et al.Effect of multibanded magnetic field on convective heat transport in linearly heated porous systems filled with hybrid nanofluid. Phys Fluids2021; 33: 053604.
45.
LiaoS. Beyond perturbation: introduction to the homotopy analysis method. Boca Raton: A CRC Press Company, 2003.
HayatTAliSAwaisM,et al.Joule heating effects in MHD flow of Burgers’ fluid. Heat Transf. Res2016; 47: 1083–1092.
48.
WaqasMHayatTShehzadSA,et al.Transport of magnetohydrodynamic nanomaterial in a stratified medium considering gyrotactic microorganisms. Phys. B: Condens. Matter2018; 529: 33–40.
49.
AnjumAMirNAFarooqM,et al.Investigations of viscous dissipation in stagnation point flow past a stretchable Riga wall: modern analysis of heat transport. Commun. Theor. Phys2019; 71: 377–383.
50.
MasoodSFarooqMAhmadS. Description of viscous dissipation in magnetohydrodynamic flow of nanofluid: applications of biomedical treatment. Adv. Mech. Eng2020; 12: 1–13.
TurkyilmazogluM. Extending the traditional jeffery-hamel flow to stretchable convergent/divergent channels. Comput. Fluids2014; 100: 196–203.
53.
OztopHFAbu-NadaE. Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int. J. Heat Fluid Flow2008; 29: 1326–1336.
54.
AlawiOASidikNACXianHW,et al.Thermal conductivity and viscosity models of metallic oxides nanofluids. Int. J. Heat Mass Transf2018; 116: 1314–1325.
