Simulation of bioconvection in the suspension of second grade nanofluid containing nanoparticles and gyrotactic microorganisms
Source abstract
Abstract
A time dependent symmetric flow with heat transmission of a second-grade fluid containing nanoparticles and gyrotactic microorganisms between two parallel plates in two dimensions is explored. Partial differential equations furnish the nonlinear ordinary differential equations due to the usage of relevant similarity transformations. Motion declines due to second grade fluid, energy elevates due to thermophoresis, concentration enhances due to Brownian motion and gyrotactic microorganisms profile elevates due to Peclet number. The unsteadiness parameter β has profound effect on the nanobioconvection flow within the plates. Optimal homotopy asymptotic method (OHAM) is followed to evaluate the transformed systems. Consistency and smoothness between the first and second orders of the optimal homotopy asymptotic method are revealed through graphs. Also, graphs are provided to manifest the impacts of each parameter.
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Research context
OpenAlex topics: Nanofluid Flow and Heat Transfer · Fractional Differential Equations Solutions · Heat Transfer and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, Abdul Wali Khan University 1 , Mardan 23200, Khyber Pakhtunkhwa, Pakistan
Department of Computing and Technology, Abasyn University 2 , Peshawar 25000, Khyber Pakhtunkhwa, Pakistan
Department of Mathematics Education, University of Education Winneba (Kumasi Compus) 3 , Kumasi, Ashanti 00233, Ghana
References (40)
Show source-provided references
1. Bioconvection patterns in cultures of free-swimming microorganisms
2. Gyrotactic buoyant convection and spontaneous pattern formation in algal cell cultures10.1007/978-1-4684-8568-4 ↗
3. The onset of bioconvection in a suspension of gyrotactic microorganisms in a fluid layer of finite depth heated from below10.1016/j.icheatmasstransfer.2004.10.021 ↗
4. Mixed convection in gravity-driven thin film non-Newtonian nanofluids flow with gyrotactic microorganisms10.1016/j.rinp.2017.10.017 ↗
5. Magnetohydrodynamic second grade nanofluid flow containing nanoparticles and gyrotactic microorganism10.1007/s40314-018-0683-6 ↗
6. Gyrotactic microorganisms mixed convection nanofluid flow along an isothermal vertical wedge in porous media
7. Gyrotactic microorganisms and thermoelectric effects on the dynamics of 29 nm CuO-water nanofluid over an upper horizontal surface of paraboloid of revolution10.1108/mmms-10-2017-0116 ↗
8. Bioconvection in second grade nanofluid flow containing nanoparticles and gyrotactic microorganisms
9. Mixed bioconvection flow of a nanofluid containing gyrotactic microorganisms past a vertical slender cylinder
10. A numerical treatment of radiative nanofluid 3D flow containing gyrotactic microorganism with anisotropic slip, binary chemical reaction and activation energy10.1038/s41598-017-16943-9 ↗
11. Enhancing thermal conductivity of fluids with nanoparticles
12. Sonication-assisted synthesis of polyelectrolyte-coated curcumin nanoparticles10.1021/la101246a ↗
13. Tea and cancer prevention10.6000/1929-2279.2015.04.02.4 ↗
14. Brownian motion and thermophoresis effects on MHD mixed convective thin film second grade nanofluid flow with Hall effect and heat transfer past a stretching sheet10.1166/jon.2017.1383 ↗
15. Nonlinear convection in nano Maxwell fluid with nonlinear thermal radiation: A three-dimensional study
16. Time dependent MHD nano-second grade fluid flow induced by permeable vertical sheet with mixed convection and thermal radiation10.1371/journal.pone.0124929 ↗
17. Magnetohydrodynamic nonliquid thin film sprayed on a stretching cylinder with heat transfer10.3390/app7030271 ↗
18. Flow and heat transfer in water based liquid film fluids dispensed with graphene nanoparticles10.1016/j.rinp.2018.01.032 ↗
19. Application of differential transformation method (DTM) for heat and mass transfer in a porous channel10.1016/j.jppr.2017.01.001 ↗
20. Variational iteration method for solving a generalized pantograph equation10.1016/j.camwa.2009.03.017 ↗
21. On a high accuracy finite difference method10.1016/0021-9991(75)90070-4 ↗
22. Convergence of Adomian’s method applied to nonlinear equations10.1016/0895-7177(94)00163-4 ↗
23. Numerical solution for solving system of Fredholm integral equations by using homotopy perturbation method10.1016/j.amc.2006.12.070 ↗
24. A short review on the homotopy analysis method in fluid mechanics10.1016/s1001-6058(10)60046-7 ↗
25. An optimal homotopy asymptotic method with application to thin film flow10.2478/s11534-008-0061-x ↗
26. Application of optimal homotopy asymptotic method for solving nonlinear equations arising in heat transfer10.1016/j.icheatmasstransfer.2008.02.010 ↗
27. An optimal homotopy asymptotic method applied to steady flow of a fourth-grade fluid past a porous plate10.1016/j.aml.2008.03.019 ↗
28. Determination of periodic solutions for the motion of a particle on a rotating parabola by means of the optimal homotopy asymptotic method
29. A new analytical approach to nonlinear vibration of an electric machine
30. Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method10.1016/j.camwa.2010.06.042 ↗
31. Explicit analytical approximation to large-amplitude non-linear oscillations of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia10.1007/s11012-010-9293-0 ↗
32. Application of the optimal homotopy asymptotic method to squeezing flow10.1016/j.camwa.2010.04.023 ↗
33. Solving singular boundary values problems by optimal homotopy asymptotic method
34. Application of optimal homotopy asymptotic method on Benjamin-Bona Mahony and Sawada Kotera equations
35. Generalized seventh order Korteweg- de Vries equations by optimal homotopy asymptotic method
36. A bioconvection model for a squeezing flow of nanofluid between parallel plates in the presence of gyrotactic microorganisms10.1140/epjp/i2017-11454-4 ↗
37. Radiative heat and mass transfer analysis of micropolar nanofluid flow of Casson fluid between two rotating parallel plates with effects of Hall current
38. The electrical MHD and Hall current impact on micropolar nanofluid flow between rotating parallel plates10.1016/j.rinp.2018.01.064 ↗
39. Effects of Hall current on steady three dimensional non-Newtonian nanofluid in a rotating frame with Brownian motion and thermophoresis effects
40. Three dimensional third grade nanofluid flow in a rotating system between parallel plates with Brownian motion and thermophoresis effects10.1016/j.rinp.2018.05.020 ↗