Restricted accessResearch articleFirst published online 2024
Numerical analysis of thermosolutal Marangoni convection,and non-linear heat generation flow of chemically reactive nanofluid through Darcy-Forchheimer media
The prime incentive of this exploration is to study the impacts of magnetohydrodynamics (MHD), heat generation, and thermal radiation on Darcy-Forchheimer (DF) nanofluid flow having thermosolutal Marangoni convection over the extending surface. The impact of chemical reaction is also investigated in the present work. A transformation is applied which turns the leading equations into ordinary differential equations (ODEs). To acquire the numerical results, these ODEs are solved by MATLAB bvp4c, a built-in function. The rate of heat transfer, temperature, and velocity of the working fluid is calculated over the sheet. The consequence of many different parameters without dimensions on the temperature, concentration, and velocity profiles are explored through diagrams and thoroughly examined. These factors include the thermophoresis coefficient, Marangoni, Darcy, and Schmidt number, thermal radiation parameter, Prandtl number, and Brownian coefficient. It is observed that the exponential index number, which is generally due to the nonlinear heat source parameter, has an inverse relation with the rate of heat transfer. Also, the velocity decreases when the local inertia coefficient and Hartman number are increased.
SastryDR.MHD thermosolutal Marangoni convection boundary layer nanofluid flow past a flat plate with radiation and chemical reaction. Indian J Sci Technol2015; 8(13): 11–18.
2.
ChristopherDWangB.Marangoni convection around a bubble in microgravity. In: Proceedings 11th international heat transfer conference, Kyongju, Korea, 23–28 August 1998, vol. 3, pp.489–494. CRC Press.
3.
ArafuneKHirataA.Interactive solutal and thermal marangoni convection in a rectangular open boat. Numer Heat Transf A Appl1998; 34(4): 421–429.
4.
BognárGHriczóK.Series solutions for Marangoni convection on a vertical surface. Math Probl Eng2012; 2012: 314989.
5.
SeddeekMA.Influence of viscous dissipation and thermophoresis on Darcy-Forchheimer mixed convection in a fluid saturated porous media. J Colloid Interface Sci2006; 293(1): 137–142.
6.
GaneshNVHakeemAKAGangaB.Darcy-Forchheimer flow of hydromagnetic nanofluid over a stretching/shrinking sheet in a thermally stratified porous medium with second order slip, viscous and ohmic dissipations effects. Ain Shams Eng J2016; 9: 939–951.
7.
HayatTMuhammadTAl-MezalS, et al. Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux. Int J Numer Methods Heat Fluid Flow2016; 26(8): 2355–2369.
8.
AhmedNMohyud-DinSTHassanSM.Flow and heat transfer of nanofluid in an asymmetric channel with expanding and contracting walls suspended by carbon nanotubes: a numerical investigation. Aerosp Sci Technol2016; 48: 53–60.
9.
MuhammadTAlsaediAShahzadSA, et al. A revised model for Darcy-Forchheimer flow of Maxwell nanofluid subject to convective boundary condition. Chin J Phys2017; 55: 963–976.
10.
ChamkhaAJKhaledARA. Hydromagnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid saturated porous medium. Int J Numer Methods Heat Fluid Flow2000; 10(5): 455–477.
11.
KrishnaMVJyothiKChamkhaAJ.Heat and mass transfer on MHD flow of second-grade fluid through porous medium over a semi-infinite vertical stretching sheet. J Porous Media2020; 23(8): 751–765.
12.
KhanSAHayatTAlsaediA.KHA model comprising MoS4 and CoFe2O3 in engine oil invoking non-similar Darcy-Forchheimer flow with entropy and Cattaneo-Christov heat flux. Nanoscale Adv2023; 5(22): 6135–6147.
13.
BilalMRamzanM.Hall current effect on unsteady rotational flow of carbon nanotubes with dust particles and nonlinear thermal radiation in Darcy–Forchheimer porous media. J Therm Anal Calorim2019; 138: 3127–3137.
14.
FangTZhangJYaoS.Slip MHD viscous flow over a stretching sheet–an exact solution. Commun Nonlinear Sci Numer Simul2009; 14(11): 3731–3737.
15.
SahooSN.Heat and mass transfer effect on MHD flow of a viscoelastic fluid through a porous medium bounded by an oscillating porous plate in slip flow regime. Int J Chem Eng2013; 51(6): 442–444.
16.
MustafaIJavedTGhaffariA.Heat transfer in MHD stagnation point flow of a ferrofluid over a stretchable rotating disk. J Mol Liq2016; 219: 526–532.
17.
BilalMAsgharIRamzanM, et al. Dissipated electroosmotic EMHD hybrid nanofluid flow through the micro-channel. Sci Rep2022; 12: 4771.
18.
BasirMFMBilalMChoudharyR, et al. Numerical and sensitivity analysis of MHD bioconvective slip flow of nanomaterial with binary chemical reaction and Newtonian heating. Heat Transf2021; 50: 5439–5466.
19.
KothaGKolipaulaVRRaoMVS, et al. Internal heat generation on bioconvection of an MHD nanofluid flow due to gyrotactic microorganisms. Eur Phys J Plus2020; 135: 600.
20.
KrishnaMVAhammadNAChamkhaAJ.Radiative MHD flow of Casson hybrid nanofluid over an infinite exponentially accelerated vertical porous surface. Case Stud Therm Eng2021; 27: 101229.
21.
MadhuMKishanNChamkhaAJ.Unsteady flow of a Maxwell nanofluid over a stretching surface in the presence of magnetohydrodynamic and thermal radiation effects. Propuls Power Res2017; 6(1): 31–40.
22.
SajadifarSAKarimipourAToghraiebD.Fluid flow and heat transfer of non-Newtonian nanofluid in a microtube considering slip velocity and temperature jump boundary conditions. Eur J Mech B Fluids2017; 61: 25–32.
23.
AkinshiloAT.Flow and heat transfer of nanofluid with injection through an expanding or contracting porous channel under magnetic force field. Eng Sci Technol Int J2018; 21: 486–494.
24.
KhanWAPopI.Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf2010; 53: 2477–2483.
25.
FarooqMKhanMIWaqasM, et al. MHD stagnation point flow of viscoelastic nanofluid with non-linear radiation effects. J Mol Liq2016; 221: 1097–1103.
26.
HayatTNadeemS.Heat transfer enhancement with Ag-CuO/water hybrid nanofluid. Results Phys2017; 7: 2317–2324.
27.
AhmedSEMohamedRAAlyAM, et al. Magnetohydrodynamic Maxwell nanofluids flow over a stretching surface through a porous medium: effects of non-linear thermal radiation, convective boundary conditions and heat generation/absorption. Int J Aerosp Mech Eng2019; 13: 436–443.
28.
AlshomraniAS.On generalized Fourier’s and Fick’s laws in bio-convection flow of magnetized Burgers nanofluid utilizing motile microorganisms. Mathematics2020; 8(7): 1186–1190.
29.
EllahiRHussainFAsad AbbasS.Study of two-phase Newtonian nanofluid flow hybrid with Hafnium particles under the effects of slip. Inventions2020; 5(1): 1–6.
30.
KhanSAHayatTAlsaediA.Bioconvection entropy optimized flow of Reiner-Rivlin nanoliquid with motile microorganisms. Alex Eng J2023; 79: 81–92.
31.
ManjunathaSPuneethVGireeshaBJ, et al. Theoretical study of convective heat transfer in ternary nanofluid flowing past a stretching sheet. J Appl Comput Mech2022; 8(4): 1279–1286.
32.
RazaqAHayatTKhanSA, et al. ATSS model based upon applications of Cattaneo-Christov thermal analysis for entropy optimized ternary nanomaterial flow with homogeneous-heterogeneous chemical reactions. Alex Eng J2023; 79: 390–401.
33.
AlsaediAKhanSAHayatT.Mixed convective entropy optimized flow of rheological nanoliquid subject to Cattaneo-Christov fluxes: an application to solar energy. Energy2023; 278: 127805.
34.
BilalMRamzanMSiddiqueI, et al. Magneto-micropolar nanofluid flow through the convective permeable channel using Koo–Kleinstreuer–Li model. J Magn Magn Mater2023; 565: 170288.
35.
BilalMRamzanMZafarR, et al. A finite thin film flow of Pseudo-plastic MHD hybrid nanofluid with heat generation and variable thermal conductivity. Waves Random Complex Media. Epub ahead of print 14February2023. DOI: 10.1080/17455030.2023.2177502.
36.
BilalM.Micropolar flow of EMHD nanofluid with nonlinear thermal radiation and slip effects. Alex Eng J2020; 59: 965–976.
37.
KumarBSethGSNandkeolyarR, et al. Outlining the impact of induced magnetic field and thermal radiation on magneto-convection flow of dissipative fluid. Int J Therm Sci2019; 146: 106101.
38.
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.
39.
Al-MudhafAChamkhaAJ.Similarity solutions for MHD thermosolutal Marangoni convection over a flat surface in the presence of heat generation or absorption effects. Heat Mass Transf2005; 42: 112–121.
40.
MahabaleshwarUSNagarajuKRVinay KumarPN, et al. Effect of radiation on thermosolutal Marangoni convection in a porous medium with chemical reaction and heat source/sink. Phys Fluids2020; 32: 113602.
