The aim of current investigation is to explore the two-dimensional Darcy flow of second grade fluid with homogenous and heterogeneous reactions toward a porous curved stretching surface. The thermal features the bioconvective flow are observed with the impact of joule heating, nonlinear thermal radiation, and non-uniform heat source/sink. The thermal stratification conditions are imposed on the boundary of the surface with magnetic field which is normal to surface. Flow model momentum and energy equations are converted into the system of nonlinear ordinary differential equations with some appropriative transformation. These nonlinear equations are tackled numerically with the utilization of Bvp4c approach. The graphical and tabulated results are obtained and discussed thoroughly. It is noticed that for the larger Darcy-Forchheimer number F, porosity parameter , and Hartman number M, the fluid velocity decreases, while curvature parameter exhibits the reverse trend on the velocity field. Further, increment in the fluid temperature is observed by the escalation of the Hartman number M and Eckert number Ec, because more resistance produces larger energy in the fluid. This research contributes to understanding the complex interplay of parameters governing fluid dynamics and thermal behavior near porous curved surfaces, shedding light on the impact of various factors on velocity and temperature distributions.
CortellR. Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to suction and to a transverse magnetic field. Int J Heat Mass Transf2006; 49(11–12): 1851–1856.
2.
AkinbobolaTEOkoyaSS. The flow of second grade fluid over a stretching sheet with variable thermal conductivity and viscosity in the presence of heat source/sink. J Niger Soc Math2015; 34(3): 331–342.
3.
AslaniKEBenosLTzirtzilakisE, et al. Micromagnetorotation of MHD micropolar flows. Symmetry2020; 12(1): 148.
4.
AslaniKESarrisIE. Effect of micromagnetorotation on magnetohydrodynamic Poiseuille micropolar flow: analytical solutions and stability analysis. J Fluid Mech2021; 920: A25.
5.
Punith GowdaRJBaskonusHMNaveen KumarR, et al. Computational investigation of Stefan blowing effect on flow of second-grade fluid over a curved stretching sheet. Int J Appl Comput Math2021; 7(3): 109.
6.
ReddySCAsogwaKKYassenMF, et al. Dynamics of MHD second-grade nanofluid flow with activation energy across a curved stretching surface. Front Energy Res2022; 10: 1007159.
7.
KocićMStamenkovićŽPetrovićJ, et al. Control of MHD flow and heat transfer of a micropolar fluid through porous media in a horizontal channel. Fluids2023; 8(3): 93.
8.
WangXRasoolGShafiqA, et al. Numerical study of hydrothermal and mass aspects in MHD driven Sisko-nanofluid flow including optimization analysis using response surface method. Sci Rep2023; 13(1): 7821.
9.
BejawadaSGNandeppanavarMM. Effect of thermal radiation on magnetohydrodynamics heat transfer micropolar fluid flow over a vertical moving porous plate. J Comput Multiph2023; 5(2): 149–158.
10.
HosseinzadehKMardaniMRPaikarM, et al. Investigation of second grade viscoelastic non-Newtonian nanofluid flow on the curve stretching surface in presence of MHD. RINENG2023; 17: 100838.
11.
AbbasNAliMShatanawiW. Chemical reactive second-grade nanofluid flow past an exponential curved stretching surface: numerically. Int J Mod Phys B2023; 31: 2450026.
12.
SakiadisBC. Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow. AICHE J1961; 7(1): 26–28.
13.
CraneLJ. Flow past a stretching plate. Z angew Math Phys1970; 21: 645–647.
14.
SajidMAliNJavedT, et al. Stretching a curved surface in a viscous fluid. Chin Phys Lett2010; 27(2): 024703.
15.
HayatTSaifRSEllahiR, et al. Numerical study for Darcy-Forchheimer flow due to a curved stretching surface with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions. Results Phys2017; 7: 2886–2892.
16.
SaifRSMuhammadTSadiaH, et al. Hydromagnetic flow of Jeffrey nanofluid due to a curved stretching surface. Phys A Stat Mech Appl2020; 551: 124060.
17.
DasSAliAJanaRN. Numerically framing the impact of magnetic field on nanofluid flow over a curved stretching surface with convective heating. World J Eng2021; 18(6): 938–947.
18.
AliAJanaRNDasS. Radiative CNT-based hybrid magneto-nanoliquid flow over an extending curved surface with slippage and convective heating. J Heat Transfer2021; 50(3): 2997–3020.
19.
AliASarkarSDasS, et al. A report on entropy generation and Arrhenius kinetics in magneto-bioconvective flow of Cross nanofluid over a cylinder with wall slip. Int J Ambient Energy. Epub ahead of print 15February2022. DOI: 10.1080/01430750.2022.2031292.
20.
Varun KumarRSGunderi DhananjayaPNaveen KumarR, et al. Modeling and theoretical investigation on Casson nanofluid flow over a curved stretching surface with the influence of magnetic field and chemical reaction. Int J Comput Methods Eng Sci Mech2022; 23(1): 12–19.
21.
KhanMRMaoS. Comprehensive analysis of magnetized second-grade nanofluid via Fourier's and Cataneo-Christove models past a curved surface. Int J Hydrog Energy2023https://doi.org/10.1016/j.ijhydene.2023.06.324.
22.
Gnaneswara ReddyMTripathiDAnwar BégO. Analysis of dissipative non-Newtonian magnetic polymer flow from a curved stretching surface with slip and radiative effects. J Heat Transfer2023; 52(3): 2694–2714.
23.
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.
24.
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 Simul. Epub ahead of print 5May2023. DOI: 10.1080/02286203.2023.2205987.
25.
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; 14: 1–24.
26.
MerkinJH. A model for isothermal homogeneous-heterogeneous reactions in boundary-layer flow. Math Comput Model Dyn Syst1996; 24(8): 125–136.
27.
ChaudharyMAMerkinJH. A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. I Equal diffusivities. Fluid Dyn Res1995; 16(6): 311–333.
28.
BachokNIshakAPopI. On the stagnation-point flow towards a stretching sheet with homogeneous–heterogeneous reactions effects. Commun Nonlinear Sci Numer2011; 16(11): 4296–4302.
29.
KameswaranPKShawSSibandaPV, et al. Homogeneous–heterogeneous reactions in a nanofluid flow due to a porous stretching sheet. Int J Heat Mass Transf2013; 57(2): 465–472.
30.
ReddyJVSugunammaVSandeepN. Effect of nonlinear thermal radiation on MHD flow between rotating plates with homogeneous-heterogeneous reactions. Int J Eng Res Afr2016; 20: 130–143.
31.
John ChristopherAMageshNPunith GowdaRJ, et al. Hybrid nanofluid flow over a stretched cylinder with the impact of homogeneous–heterogeneous reactions and Cattaneo–Christov heat flux: series solution and numerical simulation. J Heat Transfer2021; 50(4): 3800–3821.
32.
RamzanMChaudhryHGhazwaniHA, et al. Impact of homogeneous–heterogeneous reactions on nanofluid flow through a porous channel: a Tiwari and Das model application. Numer Heat Transf A Appl2023; 11: 1–4.
33.
AbbasZMehdiIHasnainJ, et al. Homogeneous-heterogeneous reactions in MHD mixed convection fluid flow between concentric cylinders with heat generation and heat absorption. Case Stud Therm Eng2023; 42: 102718.
