We examined the two-dimensional, Stagnation flow across a thermally extending cylinder and identify the precise analytical solutions. As hybrid nanoparticles, Copper (Cu) and Alumina Oxide solid particles are employed with base fluid . We added nanoparticles of Copper (Cu) and Alumina Oxide solid to the water being that its heat permeability is low. The fundamental fluid’s () thermal efficiency has risen as a result. A computational model of stationary point flow through a heated stretching cylinder is constructed using the theory behind the mechanism of the flow strategy. Carefully considered is the interaction between the impinging stagnation flow and the flow produced by stretching the cylinder’s surface. For this fascinating subject, precise analytical solutions are obtained, and the results are also graphically evaluated. The flow picture is evaluated using streams for any indications of evolved flow stretching or impinging stagnation flow dominating under pressure. A thorough investigation of heat transport is also offered, along with a graphical description of the Nusselt number (Nu). When the stretching cylinder has a lower stretching velocity A, an impinging stagnation flow that is more forceful or completely developed is seen for larger values of the approaching flow pressure parameter. When greater approaching pressure P flow values are applied, stagnation flow dominates over stretching flow. A significant portion of stagnation point flow research takes a numerical approach to the subject; nevertheless, in this work, we seek to present a precise solution to the challenge at hand. Behavior of fluid as stream lines and graphs of velocity profile, temperature profiles are plotted by using Mathematica software.
FageA. I.The flow of air and of an inviscid fluid around an elliptic cylinder and an aerofoil of infinite span, especially in the region of the forward stagnation point. Philos Trans R Soc Lond A1928; 227(647–658): 1–19.
2.
WoodsLC.The numerical solution of two-dimensional fluid motion in the neighbourhood of stagnation points and sharp corners. Aeronautical Research Council Reports & Memoranda ARC/R&M-2726, 1949. https://reports.aerade.cranfield.ac.uk/handle/1826.2/3273
3.
DorrepaalJM.An exact solution of the Navier-Stokes equation which describes non-orthogonal stagnation-point flow in two dimensions. J Fluid Mech1986; 163: 141–147.
4.
NadeemSHussainAKhanM.HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet. Commun Nonlinear Sci Numer Simul2010; 15(3): 475–481.
5.
HayatTMuhammadKFarooqM, et al. Melting heat transfer in stagnation point flow of carbon nanotubes towards variable thickness surface. AIP Adv2016; 6(1): 015214.
6.
HayatTKiyaniMZAhmadI, et al. Stagnation point flow of viscoelastic nanomaterial over a stretched surface. Results Phys2018; 9: 518–526.
7.
MahapatraTRSiduiS. Unsteady heat transfer in non-axisymmetric Homann stagnation-point flows towards a stretching/shrinking sheet. Eur J Mech B Fluids2019; 75: 199–208.
8.
TurkyilmazogluM. Stagnation-point flow and heat transfer over stretchable plates and cylinders with an oncoming flow: exact solutions. Chem Eng Sci2021; 238: 116596.
9.
RehmanKUKhanAURehmanF, et al. Thermal case study on linearly twisting cylinder: a radial stagnation point flow of nanofluid. Case Stud Therm Eng2022; 31: 101861.
10.
IshtiaqBZidanAMNadeemS, et al. Scrutinization of MHD stagnation point flow in hybrid nanofluid based on the extended version of Yamada-Ota and Xue models. Ain Shams Eng J2023; 14(3): 101905.
11.
VijayNSharmaK. Dynamics of stagnation point flow of Maxwell nanofluid with combined heat and mass transfer effects: a numerical investigation. Int Commun Heat Mass Transf2023; 141: 106545.
12.
FarooqMJavedMKhanMI, et al. Melting heat transfer and double stratification in stagnation flow of viscous nanofluid. Results Phys2017; 7: 2296–2301.
13.
Ur RehmanFNadeemS. Heat transfer analysis for three-dimensional stagnation-point flow of water-based nanofluid over an exponentially stretching surface. J Heat Transf2018; 140(5): 052401.
14.
KhanSAHayatTAlsaediA. Cattaneo Christov (CC) heat and mass fluxes in stagnation point flow of Jeffrey nanoliquids by a stretched surface. Chin J Phys2022; 76: 205–216.
15.
BaigMNJSalamatNDuraihemFZ, et al. Exact analytical solutions of stagnation point flow over a heated stretching cylinder: a phase flow nanofluid model. Chin J Phys2023; 86: 1–11.
16.
AliABukhariZAmjadM, et al. Heat transfer analysis of the MHD stagnation-point flow of third-grade fluid over a porous sheet with thermal radiation effect: an algorithmic approach. Open Phys2023; 21(1): 20220227.
17.
ReddyNKSankarM. Buoyant heat transfer of nanofluids in a vertical porous annulus: a comparative study of different models. Int J Numer Methods Heat Fluid Flow2023; 33(2): 477–509.
18.
ChoiSUEastmanJA. Enhancing thermal conductivity of fluids with nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29). Argonne National Laboratory (ANL), Argonne, IL, 1995.
19.
IbrahimWTuluA. Magnetohydrodynamic (MHD) boundary layer flow past a wedge with heat transfer and viscous effects of nanofluid embedded in porous media. Math Probl Eng2019; 2019(1): 1–12.
20.
ZhangLArainMBBhattiMM, et al. Effects of magnetic Reynolds number on swimming of gyrotactic microorganisms between rotating circular plates filled with nanofluids. Appl Math Mech2020; 41(4): 637–654.
21.
MohantyBMishraSRPattanayakHB. Numerical investigation on heat and mass transfer effect of micropolar fluid over a stretching sheet through porous media. Alex Eng J2015; 54(2): 223–232.
22.
JenaSMishraSRDashGC. Chemical reaction effect on MHD Jeffery fluid flow over a stretching sheet through porous media with heat generation/absorption. Int J Appl Comput Math2017; 3: 1225–1238.
23.
JenaSPMishraSAcharyaSK, et al. An experimental approach to produce biogas from semi dried banana leaves. Sustain Energy Technol Assess2017; 19: 173–178.
24.
ThummaTMishraSR. Effect of viscous dissipation and Joule heating on magnetohydrodynamic Jeffery nanofluid flow with and without multi slip boundary conditions. J Nanofluids2018; 7(3): 516–526.
25.
ArmaghaniTRashadAMVahidifarO, et al. Effects of discrete heat source location on heat transfer and entropy generation of nanofluid in an open inclined L-shaped cavity. Int J Numer Methods Heat Fluid Flow2019; 29(4): 1363–1377.
26.
ShamshuddinMDMishraSRBegOA, et al. Adomian decomposition method simulation of von Kármán swrling bioconvection nanofluid flow. J Cent South Univ2019; 10(26): 2797–2813.
27.
MohantyBJenaSPattnaikPK. MHD nanofluid flow over stretching/shrinking surface in presence of heat radiation using numerical method. Int J Emerg Technol2019; 10(2): 119–125.
28.
PattnaikPKJenaSDeiA, et al. Impact of chemical reaction on micropolar fluid past a stretching sheet. JP J Heat Mass Transf2019; 18(1): 207–223.
29.
JenaSMishraSRPattnaikPK. Development in the heat transfer properties of nanofluid due to the interaction of inclined magnetic field and non-uniform heat source. J Nanofluids2020; 9(3): 143–151.
30.
JenaSMishraSRPattnaikPK, et al. The nanofluid flow between parallel plates and heat transfer in presence of chemical reaction and porous matrix: nanofluid flow between parallel plates and heat transfer. Latin Am Appl Res Int J2020; 50(4): 283–289.
31.
PattnaikPKMishraSRBarikAK, et al. Influence of chemical reaction on magnetohydrodynamic flow over an exponential stretching sheet: a numerical study. Int J Fluid Mech Res2020; 47(3): 217–228.
32.
PattnaikPKMoapatraDKMishraSR. Influence of velocity slip on the MHD flow of a micropolar fluid over a stretching surface. In: MishraSRDhamalaTNMishraSR (eds) Recent trends in applied mathematics: select proceedings of AMSE 2019. Singapore: Springer, 2021, pp.307–321.
33.
ParidaSKMishraSDashRK, et al. Dynamics of dust particles in a conducting water-based kerosene nanomaterials: a computational approach. Int J Chem React Eng2021; 19(8): 787–797.
34.
PattnaikPKMishraSRBégOA, et al. Axisymmetric radiative titanium dioxide magnetic nanofluid flow on a stretching cylinder with homogeneous/heterogeneous reactions in Darcy-Forchheimer porous media: intelligent nanocoating simulation. Mater Sci Eng B, 2022; 277: 115589.
35.
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: 1–12.
36.
AliASarkarSDasS, et al. Investigation of Cattaneo–Christov double diffusions theory in bioconvective slip flow of radiated magneto-cross-nanomaterial over stretching cylinder/plate with activation energy. Int J Appl Comput Math2021; 7(5): 208.
37.
AdhikariRDasS. Biological transmission in a magnetized reactive Casson–Maxwell nanofluid over a tilted stretchy cylinder in an entropy framework. Chin J Phys2023; 86: 194–226.
38.
SarkarSDasS. Gyrotactic microbes’ movement in a magneto-nano-polymer induced by a stretchable cylindrical surface set in a DF porous medium subject to non-linear radiation and Arrhenius kinetics. Int J Model Simul2023; 1–18.
39.
AliASarkarSDasS. Physical insight into magneto-thermo-migration of motile gyrotactic microorganisms over a flexible cylinder with wall slip, and Arrhenius kinetics. Waves Random Complex Media2023; 12(6): 491–508.
40.
SarkarSDasS. Dynamics of oxytactic microbes-infused cross nanofluid around a stretchy cylinder subject to Lorentz force, Arrhenius activation energy, and nonlinear thermal radiation. Eur Phys J Plus2024; 139(2): 120.
41.
SarkarSDasS. Gyrotactic microorganisms swimming in magneto-Sutterby-nanofluid over a sliding cylinder set in a Darcy-Forchheimer porous space with Arrhenius kinetics. Int J Ambient Energy2024; 45(1): 2258896.
42.
NiiharaK. New design concept of structural ceramics ceramic nanocomposites. J Ceram Soc Jpn1991; 99(1154): 974–982.
43.
JanaSSalehi-KhojinAZhongWH. Enhancement of fluid thermal conductivity by the addition of single and hybrid nano-additives. Thermochim Acta2007; 462(1–2): 45–55.
44.
SureshSVenkitarajKPSelvakumarP, et al. Synthesis of Al2O3–Cu/water hybrid nanofluids using two step method and its thermo physical properties. Colloids Surf A Physicochem Eng Asp2011; 388(1–3): 41–48.
45.
MominGG. Experimental investigation of mixed convection with water-Al2O3 & hybrid nanofluid in inclined tube for laminar flow. Int J Sci Technol Res2013; 2(12): 195–202.
46.
NadeemSAbbasNKhanAU. Characteristics of three dimensional stagnation point flow of Hybrid nanofluid past a circular cylinder. Results Phys2018; 8: 829–835.
47.
QureshiMZARazaQEldinSM, et al. Thermal performance of hybrid magnetized nanofluids flow subject to joint impact of ferro oxides/CNT nanomaterials with radiative and porous factors. Case Stud Therm Eng2023; 41: 102648.
48.
YousefiMDinarvandSYazdiME, et al. Stagnation-point flow of an aqueous Titania-Copper hybrid nanofluid toward a wavy cylinder. Int J Numer Methods Heat Fluid Flow2018; 28(7): 1716–1735.
49.
DinarvandS. Nodal/saddle stagnation-point boundary layer flow of CuO–Ag/water hybrid nanofluid: a novel hybridity model. Microsyst Technol2019; 25(7): 2609–2623.
50.
GhalambazMRoşcaNCRoşcaAV, et al. Mixed convection and stability analysis of stagnation-point boundary layer flow and heat transfer of hybrid nanofluids over a vertical plate. Int J Numer Methods Heat Fluid Flow2019; 30(7): 3737–3754.
51.
Khashi’ieNSMd ArifinNPopI. Mixed convective stagnation point flow towards a vertical Riga plate in hybrid Cu-Al2O3/water nanofluid. Mathematics2020; 8(6): 912.
52.
BashaHTSivarajRAnimasaunIL. Stability analysis on Ag-MgO/water hybrid nanofluid flow over an extending/contracting Riga wedge and stagnation point. Comput Therm Sci Int J2020; 12(6).
53.
ZainalNANazarRNaganthranK, et al. MHD mixed convection stagnation point flow of a hybrid nanofluid past a vertical flat plate with convective boundary condition. Chin J Phys2020; 66: 630–644.
54.
ZainalNANaganthranKNazarR. Unsteady MHD rear stagnation-point flow of a hybrid nanofluid with heat generation/absorption effect. J Adv Res Fluid Mech Therm Sci2021; 87(1): 41–51.
55.
SaeedABilalMGulT, et al. Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet. Sci Rep2021; 11(1): 20429.
56.
TurkyilmazogluM. Exponential nonuniform wall heating of a square cavity and natural convection. Chin J Phys2022; 77: 2122–2135.
57.
HammachukiattikulPGovindarajuMSohailM, et al. Analytical study on sodium alginate based hybrid nanofluid flow through a shrinking/stretching sheet with radiation, heat source and inclined Lorentz force effects. Fractal Fract2022; 6(2): 68.
58.
JakeerSReddyPBA. Stability analysis of electrical magneto hydrodynamic stagnation point flow of Ag-Cu/water hybrid nanofluid over a permeable stretching/shrinking slendering sheet: entropy generation. Proc IMechE, Part E: J Process Mechanical Engineering2024; 238(3): 1172–1184.
59.
YaseenMRawatSKKhanU, et al. Inspection of unsteady buoyancy and stagnation point flow incorporated by Ag-TiO2 hybrid nanoparticles towards a spinning disk with Hall effects. Case Stud Therm Eng2023; 44: 102889.
60.
BaigJNaveedMSalamatN, et al. Flow breakdown of hybrid nanofluid on a rigid surface with power law fluid as lubricated layers. CMES-Computer Modeling in Engineering & Sciences2024; 138(2).
