The flow characteristic of the two-dimensional conducting hybrid nanofluid past an exponentially stretching permeable surface is analyzed. Flow through variable thicker surface for the free convective flow associated with transverse magnetic field in the flow phenomenon that enriches the study. The specialty of the model is the use of effective conductivity property considering the Mintsa model and the effective viscosity with the help of the Gharesim model for the enhancement of heat transport properties. Depending upon the recent applications related to industrial products, engineering as well as bio-medical science nanofluids are used as the best coolant. A comparative study is carried out for the transformed governing equations using both approximate analytical, that is, “Variational Iteration Method” (VIM), “Homotopy Perturbation Method” (HPM), and numerical techniques such as the in-build MATLAB command bvp5c. The simulated result in connection to the behavior of the physical parameters is deployed through graphs. The current outcomes validate the earlier established results in particular cases showing the conformity and the convergence of the methodology adopted. However, the observation shows that, shear rate retards with the significant enhancement in the particle concentration of the metal nanoparticles as well as the suction further the heat transfer rate enhanced. The fluid velocity profile boosts up for the increasing thermal buoyancy parameter whereas the reverse impact is rendered in the fluid temperature.
ChoiSUSEastmanJA. Enhancing thermal conductivity of fluids with nanoparticles. ASME Fluids Eng Div1995; 231: 99–105.
2.
AliHMSajidMUArshadA. Heat transfer applications of TiO2 nanofluids. In: JanusM (ed.) Application of titanium dioxide. London: InTech, 2017.
3.
WangYLeeJKLeeCH, et al. Stability and thermal conductivity characteristics of nanofluids, Thermochim Acta2007; 455: 70–74.
4.
EsfeMdHEsfandehS. A new generation of hybrid-nanofluid: thermal properties enriched lubricant fluids with controlled viscosity amount. SN Appl Sci2020; 2: 1154.
5.
MaYMohebbiRRashidiMM, et al. MHD convective heat transfer of Ag-MgO/water hybrid nanofluids in a channel with active heaters and coolers. Int J Heat Mass Transf2019; 137: 714–726.
6.
EsfeMHAraniAAARezaieM, et al. Experimental determination of thermal conductivity and dynamic viscosity of Ag–MgO/ water hybrid nanofluid. Int Commun Heat Mass Transf2015; 66: 189–195.
7.
MaYMohebbiRRashidiMM, et al. MHD forced convection of MWCNT– Fe3O4/water hybrid nanofluid in a partially heated s-shaped channel using LBM. J Therm Anal Calorim2018; 136: 1723–1735.
8.
MohebbiRIzadiMDeloueiAA, et al. Effect of MWCNT–Fe3O4/water hybrid nanofluid on the thermal performance of ribbed channel with apart sections of heating and cooling. J Therm Anal Calorim2018; 135: 1–4.
9.
IzadiMMohebbiRKarimiD, et al. Numerical simulation of natural convection heat transfer inside a \ shaped cavity filled by a MWCNTFe3O4/water hybrid nanofluids using LBM. Chem Eng Process Intensif2018; 125: 56–66.
10.
YousefiMDinarvandSEftekhari YazdiM, et al. Stagnation-point flow of an aqueous titania-copper hybrid nanofluid toward a wavy cylinder. Int J Numer Meth Heat Fluid Flow2018; 28: 1716–1735.
11.
BuongiornoJ.Convective transport in nanofluids. J Heat Transf2006; 128: 240–250.
12.
TiwariRKDasMK.Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int J Heat Mass Transf2007; 50: 2002–2018.
13.
SheikholeslamiMChamkhaAJ.Flow and convective heat transfer of a ferro-nanofluid in a double-sided lid-driven cavity with a wavy wall in the presence of a variable magnetic field. Numer Heat Transfer, A: Appl2016; 69(10): 1186–1200.
14.
IsmaelMAAbu-NadaEChamkhaAJ.Mixed convection in a square cavity filled with CuO-water nanofluid heated by corner heater. Int J Mech Sci2017; 133: 42–50.
15.
JenaSMishraSRPattnaikPK, et al. Nanofluid flow between parallel plates and heat transfer in presence of chemical reaction and porous matrix. Lat Am Appl Res2020; 50(4): 283–289.
16.
BarikAMishraSKMishraSR, et al. Multiple slip effects on MHD nanofluid flow over an inclined, radiative and chemically reacting stretching sheet by means of FDM. Heat Transf Asian Res2020; 49(1): 477–501.
17.
MishraSRMahantheshBMackolilJ, et al. Nonlinear radiation and cross-diffusion effects on the micropolar nanoliquid flow past a stretching sheet with exponential heat source. Heat Transf2021; 50(4): 3530–3546.
18.
GhalambazMDoostaniAIzadpanahiE, et al. Conjugate natural convection flow of Ag–MgO/water hybrid nanofluid in a square cavity. J Therm Anal Calorim2020; 139(3): 2321–2336.
19.
PattnaikPKMishraSRBhattiMM.Duan–rach approach to study Al2O3-ethylene glycol C2H6O2 nanofluid flow based upon KKL model. Inventions2020; 5(3): 45.
20.
DeviSSUDeviSPA. 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.
21.
RostamiMNDinarvandSPopI.Dual solutions for mixed convective stagnation-point flow of an aqueous silica-alumina hybrid nanofluid. Chin J Phys2018; 56(5): 2465–2478.
22.
AlyEHPopI.MHD flow and heat transfer near stagnation point over a stretching/shrinking surface with partial slip and viscous dissipation: hybrid nanofluid versus nanofluid. Powder Technol2020; 367: 192–205.
23.
PattnaikPKMishraSRMahantheshB, et al. Heat transport of nano-micropolar fluid with an exponential heat source on a convectively heated elongated plate using numerical computation. Multidiscip Model Mater Struct2020; 16(5): 1295–1312.
24.
MishraSRPattnaikPKDashGC.Effect of heat source and double stratification on MHD free convection in a micropolar fluid. Alex Eng J2015; 54(3): 681–689.
25.
PattnaikPKMoapatraDKMishraSR.Influence of velocity slip on the MHD flow of a micropolar fluid over a stretching surface. Lect Notes Mech Eng2021; 307–321.
26.
PattnaikPKPattnaikJRMishraSR, et al. Variation of the shape of Fe3O4-nanoparticles on the heat transfer phenomenon with the inclusion of thermal radiation. J Therm Anal Calorim2022; 147: 2537–2548.
27.
PattnaikPKMishraSRBhattiMM.Duan–rach approach to study Al2O3-ethylene glycol C2H6O2 nanofluid flow based upon KKL model. Inventions2020; 5(3): 45.
28.
PattnaikPKMishraSRA.K.Barik, et al. Influence of chemical reaction on magnetohydrodynamic flow over an exponential stretching sheet: a numerical study. Int J Fluid Mech Res2020; 47(2): 1–12.
29.
NadeemSAbbasNMalikMY.Inspection of hybrid based nanofluid flow over a curved surface. Comput Meth Prog Bio2020; 189: 105193.
30.
AbbasNNadeemSSaleemA, et al. Models base study of inclined MHD of hybrid nanofluid flow over nonlinear stretching cylinder. Chin J Phys2021; 69: 109–117.
31.
AbbasNNadeemSMalikMY. Theoretical study of micropolar hybrid nanofluid over Riga channel with slip conditions. Phys A: Stat Mech Appl2020; 551(C).
32.
NadeemSAbbasNElmasryY, et al. Numerical analysis of water based CNTs flow of micropolar fluid through rotating frame. Comput Meth Prog Bio2020; 186: 105194.
33.
AbbasNMalikMYNadeemS.Stagnation flow of hybrid nanoparticles with MHD and slip effects. Heat Transf2020; 49(1): 180–196.
34.
KhalidAKhanIKhanA, et al. Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium. Eng Sci Technol an Int2015; 18: 309–315.
35.
KhalidAKhanISharidanShafie. Exact solutions for free convection flow of nanofluids with ramped wall temperature. Euro Phys J Plus2015; 130: 57.
36.
SheikhNAAliFSaqibM, et al. Comparison and analysis of the Atangana–Baleanu and Caputo–Fabrizio fractional derivatives for generalized Casson fluid model with heat generation and chemical reaction. Results Phys2017; 7: 789–800.
37.
SheikhNAAliFSaqibM, et al. A comparative study of Atangana-Baleanu and Caputo-Fabrizio fractional derivatives to the convective flow of a generalized Casson fluid. Euro Phys J Plus2017; 132: 54.
38.
AliFSaqibMKhanI, et al. Application of Caputo-Fabrizio derivatives to MHD free convection flow of generalized Walters’-B fluid model. Eur Phys J Plus2016; 131: 377.
39.
AliFGoharMKhanI.MHD flow of water-based Brinkman type nanofluid over a vertical plate embedded in a porous medium with variable surface velocity, temperature and concentration. J Mol Liq2016; 223: 412–419.
40.
ImranMAKhanIAhmadM, et al. Heat and mass transport of differential type fluid with non-integer order time-fractional Caputo derivatives. J Mol Liq2017; 229: 67–75.
41.
HussananASallehMZKhanI, et al. Convection heat transfer in micropolar nanofluids with oxide nanoparticles in water, kerosene and engine oil. J Mol Liq2017; 229: 482–488.
42.
HussananASallehMZTaharRM, et al. Unsteady boundary layer flow and heat transfer of a Casson fluid past an oscillating vertical plate with Newtonian heating. PLoS One2014; 9(10): e108763.
43.
AaizaGKhanIShafieS.Energy transfer in mixed convection MHD Flow of nanofluid containing different shapes of nanoparticles in a channel filled with saturated porous medium. Nanoscale Res Lett2015; 10: 490.
44.
GulAKhanIShafieS, et al. Heat transfer in MHD mixed convection flow of a ferrofluid along a vertical channel. PLoS One2015; 10(11): e0141213.
45.
SheikholeslamiMArabkoohsarAKhanI, et al. Impact of Lorentz forces on Fe3O4-water ferrofluid entropy and exergy treatment within a permeable semi annulus. J Clean Prod2019; 221: 885–898.
46.
UllahIShafieSKhanI.Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium. J King Saud Univ Sci2017; 29(2): 250–259.
47.
ZinNAMKhanIShafieS.The impact silver nanoparticles on MHD free convection flow of Jeffrey fluid over an oscillating vertical plate embedded in a porous medium. J Mol Liq2016; 222: 138–150.
48.
WainiIIshakAPopI.Hybrid nanofluid flow and heat transfer over a nonlinear permeable stretching/shrinking surface. Int J Numer Methods Heat Fluid Flow2019; 29: 3110–3127.
49.
IshakA.MHD boundary layer flow due to an exponentially stretching sheet with radiation effect. Sains Malays2011; 40: 391–395.
50.
BhattacharyyaK.Boundary layer flow and heat transfer over an exponentially shrinking sheet. Chin Phys Lett2011; 28: 074701.
51.
DeviSSUDeviSPA. 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.
52.
RostamiMNDinarvandSPopI.Dual solutions for mixed convective stagnation- point flow of an aqueous silica–alumina hybrid nanofluid. Chin J Phys2018; 56: 2465–2478.
53.
DinarvandS.Nodal/saddle stagnation-point boundary layer flow of CuO–Ag/water hybrid nanofluid: a novel hybridity model. Microsyst. Technol2019; 25: 2609–2623.
54.
OztopHFAbu-NadaE.Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int J Heat Fluid Flow2008; 29: 1326–1336.
55.
MintsaHARoyGNguyenCT, et al. New temperature dependent thermal conductivity data for water-based nanofluids. Int J Therm Sci2009; 48: 363–371.
56.
GherasimLDButnaruSIacobL.The motivation, learning environment and school achievemen. Int J Learn2011;17(12): 353–364.
