Numerical investigation of a bio-convective couple stress CNTs/human blood hybrid nanofluid flow through a squeezing channel with chemical reaction: A comparative study
Restricted accessResearch articleFirst published online November, 2025
Numerical investigation of a bio-convective couple stress CNTs/human blood hybrid nanofluid flow through a squeezing channel with chemical reaction: A comparative study
This study investigates the heat and mass transport characteristics of a bioconvective couple-stress non-Newtonian magnetohydrodynamic (MHD) hybrid nanofluids flow containing motile microorganisms through a squeezing and separating channel under a chemical reaction. The hybrid nanofluids of gold–single-wall carbon nanotubes (SWCNTs)/human blood and gold–multi-wall carbon nanotubes (MWCNTs)/human blood are analyzed. With the help of pertinent transformations, the governing partial differential equations (PDEs) are transformed into nonlinear ordinary differential equations (ODEs and are solved numerically via the shooting method combined with a fourth-order Runge–Kutta technique A detailed parametric analysis graphically explores the effects of key physical parameters, such as the couple-stress parameter, Hartmann number, Prandtl number, chemical reaction, etc., on the axial and radial velocities, temperature, concentration, and microorganism density profiles. The results reveal that the temperature of both hybrid nanofluids increases in both squeezing and separating channels with increasing Hartmann number, Prandtl number, and couple-stress parameter. In squeezing flow, concentration and microorganism density rise with a higher chemical reaction, while the opposite trend is observed in separating flow. The findings highlight the potential of these hybrid nanofluids to significantly enhance heat and mass transfer, thereby playing a vital role in improving the efficiency of biomedical treatments and enabling precise monitoring and control of physiological function. Numerical results for skin friction, Nusselt number, and Sherwood number are also presented and show good agreement with existing literature.
JacksonJD. A study of squeezing flow. Appl Sci Res Sect A11 (1963): 148–152.
2.
ThorpeJF. Further investigation of squeezing flow between parallel plates. In ThorpeJF (ed.) Developments in theoretical and applied mechanics. London: Pergamon, 1967, pp.635–648.
3.
WangCY. The squeezing of a fluid between two plates. J Appl Mech1976; 43: 579–583.
4.
GuptaPSGuptaAS. Squeezing flow between parallel plates. Wear1977; 45(2): 177–185.
5.
BujurkeNMAcharPKPaiNP. Computer extended series for squeezing flow between plates. Fluid Dyn Res1995; 16(2–3): 173–187.
6.
DuwairiHMTashtoushBDamsehRA. On heat transfer effects of a viscous fluid squeezed and extruded between two parallel plates. Heat Mass Transf2004; 41: 112–117.
7.
SheikholeslamiMGanjiDDAshorynejadHR. Investigation of squeezing unsteady nanofluid flow using ADM. Powder Tech2013; 239: 259–265.
8.
AhmadIAliNAbbasiA, et al. Flow of a Burger’s fluid in a channel induced by peristaltic compliant walls. J Appl Math2014; 1(1): 236483.
9.
RehmanAAshrafMRasoolG, et al. Impact of non-linear motion on convective heat transfer induced by oscillating thermal waves in the presence of heat source and sink. NANO2025; 1: 2550038.
10.
RazzaqIXinhuaWRasoolG, et al. Nanofluids for advanced applications: a comprehensive review on preparation methods, properties, and environmental impact. ACS Omega2025; 10(6): 5251–5282.
11.
StokesVK. Effects of couple stresses in fluids on hydromagnetic channel flows. Phys Fluids1968; 11(5): 1131–1133.
12.
LinJRHungCRLuRF. Averaged inertia principle for non-Newtonian squeeze films in wide parallel plates: couple stress fluid. J Marine Sci Tech2006; 14(4): 1–13.
13.
SrinivasacharyaDSrinivasacharyuluNOdeluO. Flow and heat transfer of couple stress fluid in a porous channel with expanding and contracting walls. Int Commun Heat Mass Transf2009; 36(2): 180–185.
14.
SrinivasacharyaDSreenathI. Unsteady bioconvection in a squeezing flow of a couple-stress fluid through horizontal channel. Int J Appl Comp Maths2020; 6: 1–16.
15.
RajuAOjjelaOKambhatlaPK. A comparative study of heat transfer analysis on ethylene glycol or engine oil as base fluid with gold nanoparticle in presence of thermal radiation. J Therm Anal Calorimet2021; 145(5): 2647–2660.
16.
KasmaniRMSivasankaranSBhuvaneswariM, et al. Effect of chemical reaction on convective heat transfer of boundary layer flow in nanofluid over a wedge with heat generation/absorption and suction. J Appl Fluid Mech2015; 9(1): 379–388.
17.
ZhaoQXuHTaoL. Unsteady bioconvection squeezing flow in a horizontal channel with chemical reaction and magnetic field effects. Math Probl Eng2017; 1(1): 2541413.
18.
ShankarUNaduvinamaniNB. Magnetized impacts of Brownian motion and thermophoresis on unsteady squeezing flow of nanofluid between two parallel plates with chemical reaction and Joule heating. Heat Transf Asian Res2019; 48(8): 4174–4202.
19.
NoorNAMShafieSAdmonMA. MHD squeezing flow of Casson nanofluid with chemical reaction, thermal radiation and heat generation/absorption. J Adv Res Fluid Mech Therm Sci2020; 68(2); 94–111.
20.
GibanovNHussainMSheremetM. Three-dimensional heat transport and fluid flow in a channel with heat-generating source and heat removal ribs. Int Commun Heat Mass Transf2025; 161: 108552.
21.
ChoiSUEastmanJA. Enhancing thermal conductivity of fluids with nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29). In: Argonne National Lab (ANL), Argonne, IL (United States), 1995. New York: ASME.
22.
YuWFranceDMRoutbortJL, et al. Review and comparison of nanofluid thermal conductivity and heat transfer enhancements. Heat Transf Eng2008; 29(5): 432–460.
23.
AcharyaNDasKKunduPK. The squeezing flow of Cu-water and Cu-kerosene nanofluids between two parallel plates. Alexandr Eng J2016; 55(2): 1177–1186.
24.
AhmadSKhanMIHayatT, et al. Entropy generation optimization and unsteady squeezing flow of viscous fluid with five different shapes of nanoparticles. Colloids Surf A Physicochem Eng Asp2018; 554: 197–210.
25.
KambhatlaPKOjjelaODasSK. Viscoelastic model of ethylene glycol with temperature-dependent thermophysical properties: heat transfer enhancement with nanoparticles. J Therm Anal Calorimet2019; 135(2): 1257–1268.
26.
HayatTMuhammadKFarooqM, et al. Unsteady squeezing flow of carbon nanotubes with convective boundary conditions. PLoS One2016; 11(5): e0152923.
27.
Preeti OjjelaOKambhatlaPK, et al. Shape effect of MoS2 nanoparticles on entropy generation and heat transport in viscoelastic boundary layer flow. Pramana2021; 95(4): 182.
28.
SabaFAhmedNKhanU, et al. A novel coupling of (CNT-Fe3O4/H2O) hybrid nanofluid for improvements in heat transfer for flow in an asymmetric channel with dilating/squeezing walls. Int J Heat Mass Transf2019; 136; 186–195.
29.
KhanMSMeiSShabnamT, et al. Steady squeezing flow of magnetohydrodynamics hybrid nanofluid flow comprising carbon nanotube-ferrous oxide/water with suction/injection effect. Nanomaterials, 2022; 12(4): 660.
30.
BilalMArshadHRamzanM, et al. Unsteady hybrid-nanofluid flow comprising ferrousoxide and CNTs through porous horizontal channel with dilating/squeezing walls. Sci Rep2021; 11(1): 12637.
31.
DinarvandSBerrehalHTamimH, et al. Squeezing flow of aqueous CNTs-Fe3O4 hybrid nanofluid through mass-based approach: effect of heat source/sink, nanoparticle shape, and an oblique magnetic field. Results Eng2023; 17: 100976.
32.
RajuAKumarNNSastryDRVSRK. Dissipative heat transfer on MHD micropolar hybrid nanofluid flow through infinite parallel squeezing plates. Numer Heat Transf Part B: Fundament2024; 1–16.
33.
GuptaMSinghVKumarS, et al. Experimental analysis of heat transfer behavior of silver, MWCNT and hybrid (silver+ MWCNT) nanofluids in a laminar tubular flow. J Therm Anal Calorimet2020; 142: 1545–1559.
34.
Naresh KumarNSastryDRVSRKShawS. Irreversibility analysis of an unsteady micropolar CNT-blood nanofluid flow through a squeezing channel with activation energy-Application in drug delivery. Comp Methods Progr Biomed2022; 226: 107156.
35.
DasSDasS. EDL impelled flow of magnetized micropolar CNTs-ingrained blood through a squeezed arterial channel. BioNanoScience2024; 14(1): 119–152.
36.
ReddyPSSreedeviP. Effect of Cattaneo–Christov heat flux on heat and mass transfer characteristics of Maxwell hybrid nanofluid flow over stretching/shrinking sheet. Phys Scrip2021; 96(12): 125237.
37.
JanAAfzaalMFMushtaqM, et al. Nonsimilar analysis of ternary hybrid Eyring–Powell nanofluid flow over a linearly stretching surface. Multi Model Mater Struct2024; 20(2): 295–316.
38.
FarooqUHussainMFarooqU. Non-similar analysis of chemically reactive bioconvective Casson nanofluid flow over an inclined stretching surface. ZAMM-J Appl Math Mech/Zeitsch Ange Math Mech2024; 104(2): e202300128.
39.
FarooqUIrfanMKhalidS, et al. Computational convection analysis of second grade MHD nanofluid flow through porous medium across a stretching surface. ZAMM-J Appl Math Mech/Zeitsch Ange Math Mech2024; 104(4): e202300401.
40.
FarooqUHussainMFarooqU. Non-similar analysis of micropolar magnetized nanofluid flow over a stretched surface. Adv Mech Eng2024; 16(4): 16878132241233089.
41.
CuiJRazzaqRAzamF, et al. Nonsimilar forced convection analysis of chemically reactive magnetized Eyring-Powell nanofluid flow in a porous medium over a stretched Riga surface. J Porous Media2022; 25(10).
42.
CuiJHussainMFarooqU, et al. Nonsimilar analysis of magneto Carreau–Yasuda nanofluid flow in a porous medium over convectively heated surface with new concept of modified Darcy’s law. ZAMM-J Appl Math Mech/Zeitsch Ange Math Mech2025; 105(5): e70025.
43.
PlattJR. Bioconvection patterns in cultures of free-swimming organisms. Science1961; 133(3466); 1766–1767.
44.
PedleyTJHillNAKesslerJO. The growth of bioconvection patterns in a uniform suspension of gyrotactic micro-organisms. J Fluid Mech1988; 195: 223–237.
45.
GhoraiSHillNA. Development and stability of gyrotactic plumes in bioconvection. J Fluid Mech1999; 400, 1–31.
46.
KhanUAhmedNMohyud-DinST, et al. A bioconvection model for MHD flow and heat transfer over a porous wedge containing both nanoparticles and gyrotatic microorganisms. J Biol Syst2016; 24(04); 409–429.
47.
RaeesAXuHLiaoS. Analytic investigation of bioconvection in an unsteady squeezing flow of nanofluid between parallel plates. In: AIP conference proceeding, vol. 1648, no. 1, 2015. New York: IEEE.
48.
Bin-MohsinBAhmedNAdnan KhanU, et al. A bioconvection model for a squeezing flow of nanofluid between parallel plates in the presence of gyrotactic microorganisms. Europ Phys J Plus2017; 132: 1–12.
49.
ShamshuddinMDMishraSRKadirA, et al. Unsteady chemo-tribological squeezing flow of magnetized bioconvection lubricants: numerical study. J Nanofl2019; 8(2); 407–419.
50.
SrinivasacharyaDSreenathI. Bioconvection in a squeezing flow of a micropolar fluid in a horizontal channel. Heat Transf Asian Res2019; 48(6): 2155–2173.
51.
RajuAOjjelaONaresh KumarN, et al. Bio-convective Hartmann flow of couple stress hybrid nanofluid between two dilating parallel walls with heat and mass transfer. J Nanofl2023; 12(7): 1794–1803.
52.
SamalSOntelaS. Sensitivity analysis and optimization of heat transfer in the time-reliant magnetohydrodynamic bioconvective flow of radiative couple-stress hybrid nanofluid through a squeezing channel with viscous dissipation: entropy analysis. Hybrid Adv2024; 7(2024): 100258.
53.
ThabetENAbd-AllaAMHoshamHA, et al. Entropy generation in peristaltic transport of bio-convective couple stress blood nanofluid with chemotactic microorganisms involving viscous dissipation and slip effects. Alexandr Eng J2024; 102: 361–380.
54.
MittalRCPanditS. Numerical simulation of unsteady squeezing nanofluid and heat flow between two parallel plates using wavelets. Int J Therm Sci2017; 118: 410–422.
