In the present article, it is examined the steady bio-convective hybridized micropolar nanofluid flow with the stratification conditions above a vertical exponentially stretching surface. The SWCNT+MWCNT are used in a base fluid of water to formulate the Hybrid nanoparticles in the current article. To examine the mass and heat transfer rate, the activation energy and Cattaneo-Christov heat flux are factored into the equation. The relevant transformations are manipulated to transfer the flow model into the coupled non-linear ODEs. To answer the coupled equations, the Bvp4c Matlab approach is being used. The conclusion of various parameters is examined graphically. The physical numbers observed via graphs, such as friction factor, local Sherwood number and local microorganism number. It is worth noticing that the axial and angular velocity reduces close the boundary and enhances away from the boundary with the escalation of solid volume fraction of SWCNT and MWCNT. Further, as increases the Peclet number, microorganism stratification parameters, and bio-convection Schmidt number, the microorganism sketch declines.
ChoiSUSEastmanAJ.Enhancing thermal conductivity of fluids with nanoparticles. No. ANL/MSD/CP-84938; CONF-951135-29. Argonne National Laboratory, USA, 1995.
2.
KameswaranPKShawSSibandaPVSN, et al. Homogeneous–heterogeneous reactions in a nanofluid flow due to a porous stretching sheet. Int J Heat Mass Transf2013; 57: 465–472.
3.
WangYSuGH.Experimental investigation on nanofluid flow boiling heat transfer in a vertical tube under different pressure conditions. Exp Therm Fluid Sci2016; 77: 116–123.
4.
SheikholeslamiMGanjiDDRashidiMM.Magnetic field effect on unsteady nanofluid flow and heat transfer using Buongiorno model. J Magn Magn Mater2016; 416: 164–173.
5.
HsiaoKL.Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature. Int J Heat Mass Transf2017; 112: 983–990.
6.
KhanMIAlzahraniF.Binary chemical reaction with activation energy in dissipative flow of non-Newtonian nanomaterial. J Theor Comput Chem2020; 19: 2040006.
7.
NadeemSAhmadSMuhammadN.Computational study of Falkner-Skan problem for a static and moving wedge. Sens Actuators B2018; 263: 69–76.
8.
KhanMIAlzahraniF.Activation energy and binary chemical reaction effect in nonlinear thermal radiative stagnation point flow of Walter-B nanofluid: Numerical computations. Int J Mod Phys B2020; 34: 2050132.
9.
KhanMSalahuddinTMalikMY, et al. Numerical modeling and analysis of bioconvection on MHD flow due to an upper paraboloid surface of revolution. Physica A2020; 553: 124231.
10.
IjazMAyubMMalikMY, et al. Entropy analysis in nonlinearly convective flow of the Sisko model in the presence of Joule heating and activation energy: the Buongiorno model. Phys Scr2020; 95: 025402.
11.
KhanMIAlzahraniF.Free convection and radiation effects in nanofluid (silicon dioxide and molybdenum disulfide) with second order velocity slip, entropy generation, Darcy-Forchheimer porous medium. Int J Hydrogen Energy2021; 46: 1362–1369.
12.
JanaSSalehi-KhojinAZhongW.Enhancement of fluid thermal conductivity by the addition of single and hybrid nano-additives. Thermochim Acta2007; 462: 45–55.
GhadikolaeiSSYassariMSadeghiH, et al. Investigation on thermophysical properties of Tio2–Cu/H2O hybrid nanofluid transport dependent on shape factor in MHD stagnation point flow. Powder Technol2017; 322: 428–438.
15.
WainiIIshakAPopI.Unsteady flow and heat transfer past a stretching/shrinking sheet in a hybrid nanofluid. Int J Heat Mass Transf2019; 136: 288–297.
16.
NayakMKHakeemAKAGangaB, et al. Entropy optimized MHD 3D nanomaterial of non-Newtonian fluid: a combined approach to good absorber of solar energy and intensification of heat transport. Comput Methods Program Biomed2020; 186: 105131.
17.
IbrahimMKhanMI.Mathematical modeling and analysis of SWCNT-Water and MWCNT-Water flow over a stretchable sheet. Comput Methods Programs Biomed2020; 187: 105222.
18.
KhanMIAlzahraniF.Entropy optimized magnetohydrodynamics Darcy–Forchheimer second order velocity slip flow of nanomaterials between two stretchable disks. Proc IMechE, Part C: J Mechanical Engineering Science2020; 234: 4190–4199.
19.
KhanMNNadeemSUllahN, et al. Theoretical treatment of radiative Oldroyd-B nanofluid with microorganism pass an exponentially stretching sheet. Surf Interfaces2020; 21: 100686.
20.
AhmadSNadeemS.Application of CNT-based micropolar hybrid nanofluid flow in the presence of Newtonian heating. Appl Nanosci2020; 10: 5265–5213.
21.
NadeemSAbbasNMalikMY.Inspection of hybrid based nanofluid flow over a curved surface. Computer Methods Programs Biomed2020; 189: 105193.
22.
AhmadSNadeemS.Hybridized nanofluid with stagnation point past a rotating disk. Phys Scr2020; 96: 025214.
23.
NadeemSAbbasNMalikMY.Heat transport in CNTs based nanomaterial flow of non-Newtonian fluid having electro magnetize plate. Alexandria Eng J2020; 59: 3431–3442.
24.
ZahriMAl-KouzWRehmanKU, et al. Thermally magnetized rectangular chamber optimization (TMRCO) of partially heated continuous stream: hybrid meshed case study. Case Stud Therm Eng2020; 22: 100770.
25.
AbbasNNadeemSMalikMY.On extended version of Yamada–Oota and Xue models in micropolar fluid flow under the region of stagnation point. Physica A2020; 542: 123512.
26.
ParveenNAwaisMMumrazS, et al. An estimation of pressure rise and heat transfer rate for hybrid nanofluid with endoscopic effects and induced magnetic field: computational intelligence application. Eur Phys J Plus2020; 1351–41.
27.
FourierJBJ. Theorie Analytique De La Chaleur. Paris, 1822.
28.
CattaneoC. Sulla Conduzione Del Calore. In: Pignedoli A (eds) Some aspects of diffusion theory. C.I.M.E. Summer Schools, 2011.
29.
ChristovCI.On frame indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction. Mech Res Commun2009; 36: 481–486.
30.
HayatTKhanMIFarooqM, et al. Impact of Cattaneo–Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface. Int J Heat Mass Transf2016; 99: 702–710.
31.
KhanMIWaqasMHayatT, et al. A comparative study of Casson fluid with homogeneous-heterogeneous reactions. J Colloid Interf Sci2017; 498: 85–90.
32.
NadeemSAhmadSMuhammadN.Cattaneo-Christov flux in the flow of a viscoelastic fluid in the presence of Newtonian heating. J Mol Liq2017; 237: 180–184.
33.
KhanMIAlzahraniF. Numerical simulation for the mixed convective flow of non‐Newtonian fluid with activation energy and entropy generation. Math Methods Appl Sci2020. DOI: 10.1002/mma.6919.
34.
LuDRamzanMAhmadS, et al. Upshot of binary chemical reaction and activation energy on carbon nanotubes with Cattaneo-Christov heat flux and buoyancy effects. Phys Fluids2017; 29: 123103.
35.
KhanMIAlzahraniF.Cattaneo-Christov double diffusion (CCDD) and magnetized stagnation point flow of non-Newtonian fluid with internal resistance of particles. Phys Scr2020; 95: 125002.
36.
RehmanKUMalikMYAl-KouzW, et al. Heat transfer individualities due to evenly heated T-shaped blade rooted in trapezium enclosure: numerical analysis. Case Stud Therm Eng2020; 22: 100778.
37.
KhanMIAlzahraniF.Transportation of heat through Cattaneo-Christov heat flux model in non-Newtonian fluid subject to internal resistance of particles. Appl Math Mech2020; 41: 1157–1166.
38.
RehmanKUMalikMYAl-MdallalQM, et al. Heat transfer analysis on buoyantly convective non-Newtonian stream in a hexagonal enclosure rooted with T-Shaped flipper: hybrid meshed analysis. Case Stud Therm Eng2020; 21: 100725.
39.
KhanMIQayyumSKadryS, et al. Irreversibility analysis and heat transport in squeezing nanoliquid flow of non-Newtonian (second-grade) fluid between infinite plates with activation energy. Arab J Sci Eng2020; 45: 4939–4947.
40.
AhmadSNadeemS.Cattaneo–Christov-based study of SWCNT–MWCNT/EG Casson hybrid nanofluid flow past a lubricated surface with entropy generation. Appl Nanosci2020; 10: 5449–5458.
41.
RehmanKUAl-MdallalQMQaiserA, et al. Finite element examination of hydrodynamic forces in grooved channel having two partially heated circular cylinders. Case Stud Therm Eng2020; 18: 100600.
42.
KhanMIAlzahraniF.Nonlinear dissipative slip flow of Jeffrey nanomaterial towards a curved surface with entropy generation and activation energy. Math Comput Simul2021; 185: 47–61.
43.
BibiMZeeshanAMalikMY.Numerical analysis of unsteady flow of three-dimensional Williamson fluid-particle suspension with MHD and nonlinear thermal radiations. Eur Phys J Plus2020; 1351–26.
44.
KhanMNNadeemSAhmadS, et al. Mathematical analysis of heat and mass transfer in a Maxwell fluid. Proc IMechE, Part C: J Mechanical Engineering Science2020. DOI: 0954406220976704.
45.
AbbasNNadeemSSaleemA, et al. Models base study of inclined MHD of hybrid nanofluid flow over nonlinear stretching cylinder. Chinese J Phys2021; 69: 109–117.
