Impact of inclination angle on thermo-bioconvection of nanofluid containing gyrotactic microorganisms saturated in porous square cavity

Iranian Journal of Numerical Analysis and Optimization

مقاله 20، دوره 13، شماره 1 - شماره پیاپی 24، خرداد 2023، صفحه 141-156   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2022.76732.1146

نویسندگان

J. Bodduna¹؛ C.S. Balla^{* 2}؛ M.P. Mallesh¹

¹Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Hyderabad, India.

²Department of Mathematics, Chaitanya Bharathi Institute of Technology, Hyderabad, India.

چکیده

This paper focuses on the result of inclined angle on bioconvection of porous media bounded by cavity wall square enclosure filled with both nanofluid and gyrotactic microorganisms passing through the media with pores. The dimensionless velocity, temperature, concentration, and mass transformation equations are solved by using the weighted residual Galerkin’s finite element method. The result of the inclination angle from δ = 0◦ to δ = 180◦ in a square cavity is interpreted. The outcomes of incli-nation on various key parameters, such as Rayleigh number, bioconvective Rayleigh number, Peclet number, Brownian motion, and the ratio of buoy-ancy, are discussed. Furthermore, the mean Nusselt number, Sherwood number, and density number are discussed at vertical walls.

کلیدواژه‌ها

Nanofluid؛ Inclination angle؛ Buoyancy ratio؛ Peclet number؛ Square cavity؛ Bioconvection

سایر فایل های مرتبط با مقاله

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مراجع

[1] Aboueian-Jahromi, J., Hossein Nezhad, A. and Behzadmehr, A.Effects of inclination angle on the steady flow and heat transfer of power-law fluids around a heated inclined square cylinder in a plane channel, J. Nonnewton Fluid Mech., 166 (23-24) (2011) 1406–1414.
[2] Alluguvelli, R., Balla, C.S. and Naikoti, K. Bioconvection in porous square cavity containing oxytactic microorganisms in the presence of viscous dissipation, Discontinuity, Nonlinearity, and Complexity, 11(02) (2022) 301–313.
[3] Alluguvelli, R., Balla, C.S., Naikoti, K. and Makinde, O.D. Nanofluid bioconvection in porous enclosure with viscous dissipation, Indian J. Pure Appl. Phys. 60(1) (2022) 78–89.
[4] Aounallah, M., Addad, Y., Benhamadouche, S., Imine, O., Adjloit, L. and Laure, D. Numerical investigation of turbulent natural convection in an inclined square cavity with a hot wavy wall, Int. J. Heat Mass Transf. 50(9) (2007) 1683–1693.
[5] Aziz, A., Khan, W.A. and Pop, I. Free convection boundary layer flow past a horizontal flat plate embedded in porous medium filled by nanofluid containing gyrotactic microorganisms, Int. J. Therm. Sci. 56 (2012) 48–57.
[6] Balla, C.S., Chinthapally Haritha and Kishan, N. Magnetohydrodynamic double-diffusive convection in fluid saturated inclined porous cavity with thermal radiation and chemical reaction, J. Chem. Technol. Metall. 53(2018) 518–536.
[7] Balla, C.S., Jamuna, B., Krishna Kumari, S.V.H.N. and Rashad, A.M. Effect of inclination angle on bioconvection in porous square cavity con-taining gyrotactic microorganisms and nanofluid, J. Mech. Eng. Sci. 236(9)(2021), 4731–47470.

[8] Balla, C.S. and Kishan, N. Soret and Dufour effects on free convective heat and solute transfer in fluid saturated inclined porous cavity, Int. J. Eng. Sci. Technol. 18(4) (2015) 543–554.
[9] Balla, C.S., Ramesh, A., Kishan, N. and Rashad, A.M. Impact of Soret and Dufour on bioconvective flow of nanofluid in porous square cavity, J. Heat transfer, 50(5) (2021) 5123–5147.
[10] Bejan, A. On the boundary layer regime in a vertical enclosure filled with a porous medium, Lett. Heat Mass Transf. 6(2) (1979) 93–102.
[11] Choi, S.U.S. and Eastman, J A. Enhancing thermal conductivity of fluids with nanoparticles, International mechanical engineering congress and exhibition, San Francisco, CA . United States, 1995.
[12] Cross, R.J., Bear, M.R. and Hickox, C.E. The application of flux-corrected transport (FCT) to high Rayleigh number natural convection in a porous medium. Proceedings of 8th International Heat Transfer Con-ference, San Francisco (1986).
[13] Das, S.K., Choi, S.U.S., YU, W., and Pradeep, T. Nanofluids: Science and Technology, Mater. Manuf. Process. 24(5) (2009) 600–601.
[14] Ingham, D.B., Bejan, A., Mamut, E. and Pop, I. Emerging technologies and techniques in porous media, 3rd Edition, Kluwer, Dordrecht, 2004, 93–117.
[15] Ingham, D.B. and Pop, I. Transport phenomenon in porous media, Perg-amon, Oxford, 1998.
[16] Izadi, M., Behzadmehr, A. and Shahmardan, M.M. Effect on inclina-tion angle on mixed convection heat transfer of a nanofluid in a square cavity, International Journal for Computational Methods in Engineering Science and Mechanics, 16(1) (2015) 11–12.
[17] Jamuna, B. and Balla, C.S. Bioconvection in a porous square cavity containing gyrotactic microorganisms under the effects of heat genera-tion/absorption, Proc. Inst. Mech. Eng. E: J. Process Mech. Eng. 235(5) (2021), 1534–1544.
[18] Jamuna, B., Mallesh, M.P. and Balla, C.S. Activation energy process in bioconvection nanofluid flow through porous cavity, Journal of Porous Media, 25(4) (2022) 37–51.
[19] Kairi, R.R., Roy, S. and Raut, S. Thermosolutal Marangoni impact on bioconvection in suspension of Gyrotactic microorganisms over an in-clined stretching sheet, J. Heat Transfer, 143(3) (2021) 031201 (10 pages).

[20] Kuyper, R.A., Van Der Meer, TH.H., Hoogendoorn, C.J. and Henkes, R.A.W.M. Numerical study of laminar and turbulent natural convection in an inclined square cavity, Int. J. Heat Mass Transf. 36 (11)(1993) 2899–2911.
[21] Kuznetsov, A.V. Thermo-bioconvection in a suspension of oxytactic bac-teria, Int. Commun. Heat Mass Transf. 32 (8) (2005) 991–999.
[22] Manole, D.M. Numerical benchmark results for natural convection in a porous medium cavity. Heat and Mass Transfer in Porous Media, ASME Conference 1992, vol. 216 (1992) 55–60.
[23] Minkowycz, W.J., Sparrow, E.M. and Abraham, J.P. Nanoparticle neat transfer and fluid flow, CRC Press, New York,2013.
[24] Nield, D.A., and Bejan, A. Convection in porous media, 4th ed., Springer, New York, 2013.
[25] Rajarathinam, M. and Nithyadevi ,N.Heat transfer enhancement of Cu-water nanofluid in an inclined porous square cavity with internal heat generation, Therm. Sci. Eng. Prog. 4 (2017) 35–44.
[26] Shenoy, A., Sheremet, M. and Pop, I. Convective flow and heat transfer from wavy surfaces: Viscous fluids, porous media and nanofluids, CRC Press, New York, 2016.
[27] Sheremet, M., Grosan, T. and Pop, I.MHD free convection flow in an inclined square cavity filled with both nanofluids and gyrotactic microor-ganisms, Int. J. Numer. Methods Heat Fluid Flow. 29(12) (2019) 4642–4659.
[28] Sheremet, M.A. and Pop, I.Thermobioconvection in a square porous cav-ity filled by oxy-tactic microorganisms, Transp. Porous Media, 103 (2014) 191–205.
[29] Tsai, G.-L., Li, H.-Y. and Lin, C.-C. Effect of the angle of inclination of a plate shield on the thermal and hydraulic performance of a plate-fin heat sink, Int. Commun. Heat Mass Transf. 37(4) (2010) 364–371.
[30] Vadasz, P. Heat conduction in nanofluid suspensions, J. Heat Transf. 128(5) (2006) 465–477.
[31] Vafai, K. Hand book of Porous media, 2nd Edition, Taylor and Francis, New York, 2005.
[32] Varol, Y., Oztop, H. and Koca, A. Effect of inclination angle on natural convection in composite walled enclosures, Heat Transf. Eng. 32(1)(2011) 57–68.

[33] Varol, Y., Oztop, H. and Pop, I. Influence of inclination angle on buoyancy-driven convection in triangular enclosure filled with a fluid-saturated porous medium, Heat Mass Transf. 44(5) (2008) 617–624.
[34] Varol, Y., Oztop, H.F. and Koca, A. Effects of inclination angle on conduction—natural convection in divided enclosures filled with different fluids, Int. Commun. Heat Mass Transf. 37(2) (2010) 182–191.