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Dynamics of bioconvection flow of micropolar nanoparticles with Cattaneo-Christov expressions

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Abstract

A numerical analysis is performed to analyze the bioconvective double diffusive micropolar non-Newtonian nanofluid flow caused by stationary porous disks. The consequences of the current flow problem are further extended by incorporating the Brownian and thermophoresis aspects. The energy and mass species equations are developed by utilizing the Cattaneo and Christov model of heat-mass fluxes. The flow equations are converted into an ordinary differential model by employing the appropriate variables. The numerical solution is reported by using the MATLAB builtin bvp4c method. The consequences of engineering parameters on the flow velocity, the concentration, the microorganisms, and the temperature profiles are evaluated graphically. The numerical data for fascinating physical quantities, namely, the motile density number, the local Sherwood number, and the local Nusselt number, are calculated and executed against various parametric values. The microrotation magnitude reduces for increasing magnetic parameters. The intensity of the applied magnetic field may be utilized to reduce the angular rotation which occurs in the lubrication processes, especially in the suspension of flows. On the account of industrial applications, the constituted output can be useful to enhance the energy transport efficacy and microbial fuel cells.

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References

  1. ERINGEN, A. C. Simple microfluids. International Journal of Engineering Science, 2, 205–217 (1964)

    Article  MathSciNet  Google Scholar 

  2. ERINGEN, A. C. Theory of micropolar fluids. Journal of Applied Mathematics and Mechanics, 16, 1–8 (1966)

    MathSciNet  Google Scholar 

  3. ASHRAF, M. and WEHGAL, A. R. MHD flow and heat transfer of micropolar fluid between two porous disks. Applied Mathematics and Mechanics (English Edition), 33(1), 51–64 (2012) https://doi.org/10.1007/s10483-012-1533-6

    Article  MathSciNet  Google Scholar 

  4. SI, X. H., ZHENG, L. C., ZHANG, X. X., and SI, X. Y. Flow of micropolar fluid between two orthogonally moving porous disks. Applied Mathematics and Mechanics (English Edition), 33(8), 963–975 (2012) https://doi.org/10.1007/s10483-012-1598-8

    Article  MathSciNet  Google Scholar 

  5. SUN, Y., SI, X., ZHENG, L., SHEN, Y., and ZHANG, X. The analysis of the flow of a micropolar fluid between two orthogonally moving porous disks with counter rotating directions. Central European Journal of Physics, 11, 601–614 (2013)

    Google Scholar 

  6. TURKYILMAZOGLU, M. Flow of a micropolar fluid due to a porous stretching sheet and heat transfer. International Journal of Non-Linear Mechanics, 83, 59–64 (2016)

    Article  Google Scholar 

  7. CHOI, S. U. S. Enhancing thermal conductivity of fluids with nanoparticles, developments and applications of non-Newtonian flows. The American Society of Mechanical Engineers, 66, 99–105 (1995)

    Google Scholar 

  8. HASHMI, M. M., HAYAT, T., and ALSAEDI, A. On the analytic solutions for squeezing flow of nanofluid between parallel disks. Nonlinear Analysis: Modelling and Control, 17, 418–430 (2012)

    Article  MathSciNet  Google Scholar 

  9. SHEIKHOLESLAMI, M. and ROKNI, H. B. Effect of melting heat transfer on nanofluid flow in existence of magnetic field considering Buongiorno model. Chinese Journal of Physics, 55, 1115–1126 (2017)

    Article  Google Scholar 

  10. HSIAO, K. Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia features. International Journal of Heat and Mass Transfer, 112, 983–990 (2017)

    Article  Google Scholar 

  11. HSIAO, K. To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-nanofluid with parameters control method. Energy, 130, 486–499 (2017)

    Article  Google Scholar 

  12. TURKYILMAZOGLU, M. Buongiorno model in a nanofluid filled asymmetric channel fulfilling zero net particle flux at the walls. International Journal of Heat and Mass Transfer, 125, 974–979 (2018)

    Article  Google Scholar 

  13. KHAN, M., AHMED, A., and AHMED, J. Transient flow of magnetized Maxwell nanofluid: Buongiorno model perspective of Cattaneo-Christov theory. Applied Mathematics and Mechanics (English Edition), 41(4), 655–666 (2020) https://doi.org/10.1007/s10483-020-2593-9

    Article  Google Scholar 

  14. CATTANEO, C. Sulla Conduzionedelcalore. Attitudel Seminario Maermaticoe Fisico dell Universita di Modena e Reggio Emilia, 3, 481–486 (1948)

    Google Scholar 

  15. HAYAT, T., QAYYUM, S., IMTIAZ, M., and ALSAEDI, A. Flow between two stretchable rotating disks with Cattaneo-Christov heat flux model. Results in Physics, 7, 126–133 (2017)

    Article  Google Scholar 

  16. HASHIM, M. and KHAN, M. On Cattaneo-Christov heat flux model for Carreau fluid flow over a slendering sheet. Results in Physics, 7, 310–319 (2017)

    Article  Google Scholar 

  17. LIU, L., ZHENG, L., LI, F., and ZHANG, X. Heat conduction with fractional Cattaneo-Christov upper-convective derivative flux model. International Journal of Thermal Sciences, 112, 421–426 (2017)

    Article  Google Scholar 

  18. LI, L., ZHENG, L., and LIU, F. Time fractional Cattaneo-Christov anomalous diffusion in comb frame with finite length of fingers. Journal of Molecular Liquids, 233, 326–333 (2017)

    Article  Google Scholar 

  19. RAUF, A., ABBAS, Z., SHEHZAD, S. A., ALSAEDI, A., and HAYAT, T. Numerical simulation of chemically reactive Powell-Eyring liquid flow with double diffusive Cattaneo-Christov heat and mass flux theories. Applied Mathematics and Mechanics (English Edition), 39(4), 467–476 (2018) https://doi.org/10.1007/s10483-018-2314-8

    Article  MathSciNet  Google Scholar 

  20. SHEHZAD, S. A., KHAN, S. U., ABBAS, Z., and RAUF, A. A revised Cattaneo-Christov micropolar viscoelastic nanofluid model with combined porosity and magnetic effects. Applied Mathematics and Mechanics (English Edition), 41(3), 521–532 (2020) https://doi.org/10.1007/s10483-020-2581-5

    Article  Google Scholar 

  21. SIDDIQA, S., HINA, G., BEGUM, N., SALEEM, S., HOSSAIN, M. A., and GORLA, R. S. R. Numerical solutions of nanofluid bioconvection due to gyrotactic microorganisms along a vertical wavy cone. International Journal of Heat and Mass Transfer, 101, 608–613 (2016)

    Article  Google Scholar 

  22. XUN, S., ZHAO, J., ZHENG, L., and ZHANG, X. Bioconvection in rotating system immersed in nanofluid with temperature dependent viscosity and thermal conductivity. International Journal of Heat and Mass Transfer, 111, 1001–1006 (2017)

    Article  Google Scholar 

  23. RAJU, C. S. K., HOQUE, M. N., and SRIVASANKAR, T. Radiative flow of Casson fluid over a moving wedge filled with gyrotactic microorganisms. Advanced Powder Technology, 28, 575–583 (2017)

    Article  Google Scholar 

  24. CHAKRABORTY, T., DAS, K., and KUNDU, P. K. Framing the impact of external magnetic field on bioconvection of a nanofluid flow containing gyrotactic microorganisms with convective boundary conditions. Alexandria Engineering Journal, 57, 61–71 (2018)

    Article  Google Scholar 

  25. WAQAS, M., HAYAT, T., SHEHZAD, S. A., and ALSEADI, A. Transport of magnetohydrodynamic nanomaterial in a stratified medium considering gyrotactic microorganisms. Physica B: Condensed Matter, 529, 33–40 (2018)

    Article  Google Scholar 

  26. ABDELSALAM, S. I. and BHATTI, M. M. Anomalous reactivity of thermo-bioconvective nanofluid towards oxytactic microorganisms. Applied Mathematics and Mechanics (English Edition), 41(5), 711–724 (2020) https://doi.org/10.1007/s10483-020-2609-6

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Sahiwal, 57000, Pakistan

    S. A. Shehzad, A. Rauf & S. U. Khan

  2. Department of Mathematics, COMSATS University Islamabad, Vehari, 61100, Pakistan

    T. Mushtaq

  3. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan

    Z. Abbas & A. Rauf

  4. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam

    I. Tlili

  5. Faculty of Civil Engineering, Duy Tan University, Da Nang, 550000, Vietnam

    I. Tlili

Authors
  1. S. A. Shehzad
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  2. T. Mushtaq
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  3. Z. Abbas
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  4. A. Rauf
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  5. S. U. Khan
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  6. I. Tlili
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Correspondence to I. Tlili.

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Shehzad, S.A., Mushtaq, T., Abbas, Z. et al. Dynamics of bioconvection flow of micropolar nanoparticles with Cattaneo-Christov expressions. Appl. Math. Mech.-Engl. Ed. 41, 1333–1344 (2020). https://doi.org/10.1007/s10483-020-2645-9

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  • DOI: https://doi.org/10.1007/s10483-020-2645-9

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2010 Mathematics Subject Classification

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