BEHAVIOUR OF ERYING-POWELL FLUID + NANOFLUID PARTICLES FLOW PAST A VERTICAL CONE IN THE PRESENCE OF MHD, SUCTION/INJECTION, HEAT AND MASS TRANSFER
DOI:
https://doi.org/10.15421/jchemtech.v32i3.303090Keywords:
Eyring Powell fluid; Suction/Injection; Vertical Cone; Convective boundary condition; Magnetic field; Heat transfer; Mass transfer:Abstract
This study investigates the flow and heat and mass transfer characteristics of a nanofluid containing Erying-Powell fluid particles over a vertical cone in the presence of magnetic field, convective boundary condition and suction/injection effects. By using appropriate similarity transformations, the controlling non-linear partial differential equations (PDEs) are converted into ordinary differential equations (ODEs). The finite element method is then used to numerically solve the resultant system of ODEs. In any flow shape, the approach may be used to offer an approximate solution to various fluid rheology problems. Graphs are used to show how different important factors affect the velocity, temperature, and concentration profiles. For vertical cone shape, the skin-friction coefficient, heat transfer rate, and mass transfer rate are also calculated and shown in tables. Finally, the graphs and tables present a comparative study of the vertical cone results. Therefore, in any flow shape, the approach may be used to offer an approximate solution to various fluid rheology problems.
References
Powell, R. E., Erying, H., (1994). Mechanisms for the relaxation theory of viscosity, Nature, 154(3909), 427–428, doi:10.1038/154427a0.
Ziegenhagen, A. (1964). The very slow flow of a Powell-Eyring fluid around a sphere, Appl. Sci. Res., 14(1), 43–56, doi:10.1007/bf00382230.
Nadeem, S., Saleem, S. (2014). Mixed convection flow of Eyring-Powell fluid along a rotating cone, Results Phys., 4, 54–62, doi:10.1016/j.rinp.2014.03.004.
Ara, A., Khan, N. A., Khan, H., Sultan, F. (2014). Radiation effect on boundary layer flow of an Eyring - Powell fluid over an exponentially shrinking sheet, Ain Shams Eng. J., 5(4), 1337–1342, doi:10.1016/j.asej.2014.06.002
Abegunrin, O. A., Animasaun, I. L., Sandeep, N. (2018). Sight into the boundary layer flow of non-Newtonian Eyring-Powell fluid due to catalytic surface reaction on an upper horizontal surface of a paraboloid of revolution, Alex. Eng. J., 57(3), 2051–2060, doi:10.1016/j.aej.2017.05.018.
Gireesha, B. J. Gorla, R. S. Reddy, B. Mahanthesh. (2015). Effect of suspended nanoparticles on three-dimensional MHD flow heat and mass transfer of radiating Eyring-Powell fluid over a stretching sheet, J Nanofluids, 4, 474–484.
Akbar, N. S., Ebaid, A., Khan, Z. H. (2015).Numerical analysis of magnetic field effects on Eyring-Powell fluid flow towards a stretching sheet, J. Magnet. Mater., 382, 355–358.
Khan, A., Malik, M. Y., Salahuddin, T., Khan, M., Rehman, K. U. (2017). Homogenous-heterogeneous reactions in MHD flow of Powell-Eyring fluid over a stretching sheet with Newtonian heating, Neural Comput Appl, 30, 3581–3588. doi:10.1007/s00521-017-2943-6.
Jalil, M., Asghar, S., Imran, S. M. (2013). Self similar solutions for the flow and heat transfer of Powell-Eyring fluid over a moving surface in a parallel free stream, Int. J. Heat Mass Transfer, 65, 73–79.
Hayat, T., Ali, S., Farooq, M.A., Alsaedi, A. (2015). On comparison of series and numerical solutions for flow of Eyring-Powell fluid with Newtonian heating and internal heat generation/absorption, PLoS One, doi:10.1371/journal.pone.0129613.
Hayat, T., Ali, S., Alsaedi, A., Alsulami, H.H. (2016). Influence of thermal radiation and joule heating in the Eyring-Powell fluid flow with the Soret and DuFour effects, J. Appl. Mech. Tech. Phys., 57, 1051–1060
Murali, G., Paul, A., Babu, N.V.N. (2015). Heat and mass transfer effects on an unsteady hydromagnetic free convective flow over an infinite vertical plate embedded in a porous medium with heat absorption, Int. J. Open Problems Compt. Math, 8(1), 15–28. doi: 10.12816/0010706
Deepa, G., Murali, G. (2014). Analysis of soret and dufour effects onunsteady MHD flow past a semi infinite vertical porous plate via finite difference method, International journal of applied physics and mathematics, 4(5), 332–344. doi: 10.7763/IJAPM.2014.V4.306.
Murali, G., Paul, А., Babu, N.V.N. (2015). Numerical study of chemical reaction effects on unsteady MHD fluid flow past an infinite vertical plate embedded in a porous medium with variable suction, Electronic Journal of mathematical analysis and applications, 3(2), 179–192.
Babu, N.V.N., Paul, A., Murali, G. (2015). Soret and Dufour effects on unsteady hydromagnetic free convective fluid flow past an infinite vertical porous plate in the presence of chemical reaction, Journal of science and arts, 15(1), 99–111.
Murali, G., Reddy, M.C.K., Sivaiah, S. (2012). Finite element solution of thermal radiation effect on unsteady MHD flow past a vertical porous plate with variable suction,American Academic & Scholarly Research Journal, 4(3), 3–22.
Babu, N.V.N.,Murali, G., Bhati, S.M.(2018). Casson fluid performance on natural convective dissipative couette flow past an infinite vertically inclined plate filled in porous medium with heat transfer, MHD and hall current effects, International journal of Pharmaceutical Research, 10(4), 2018.
Gundagani, M., Sheri, S., Paul, A., Reddy, M. C. K. (2013). Radiation Effects on an Unsteady MHD Convective Flow Past a Semi-Infinite Vertical Permeable Moving Plate Embedded in a Porous Medium with Viscous Dissipation, Walailak J Sci &; Tech, 10(5), 499–515.
doi: 10.2004/wjst.v10i5.380
Murali, G., Sivaiah, Sh., Paul, А., Reddy, M. C. K. (2013). Unsteady magnetohydrodynamic free convective flow past a vertical porous plate, International journal of applied science and engineering, 11(3), 267–275.
Murali, G. Deepa, G. Nirmala Kasturi, V, Poornakantha, T. (2023). Joint effects of thermal diffusion and diffusion thermo on MHD three dimensional nanofluid flow towards a stretching sheet, Mathematical models in engineering. https://doi.org/10.21595/mme.2023.23590.
Gundagani, M., Babu, N.V.N., Gadially, D. (2024). Study of Nano-Powell-Erying fluid flow past a porous stretching sheet by the effects of MHD, thermal and mass convective boundary conditions. J. Umm Al-Qura Univ. Eng. Archit. https://doi.org/10.1007/s43995-024-00056-2
Gundagani, M., Mamidi, L.P., Tanuku, P.K. (2024). Finite element solutions of Double diffusion effects on three-dimensional MHD Nano-Powell-Erying fluid flow in presence of thermal and mass Biot numbers. J. Eng. Appl. Sci. 71, 9 https://doi.org/10.1186/s44147-023-00347-w
Deepa, G., Murali, G (2014). Effects of viscous dissipation on unsteady MHD free convective flow with thermophoresis past a radiate inclined permeable plate, Iranian Journal of Science and Technology (Sciences), 38A3, DOI: 10.22099/IJSTS.2014.2437
Murali, G, Babu, N.V.N. (2023). Convective MHD Jeffrey Fluid Flow Due to Vertical Plates with Pulsed Fluid Suction:A Numerical Study, Journal of computational applied mechanics, 56(1), 36–48. 10.22059/JCAMECH.2023.351326.773,2023.
Murali, G., Babu, N.V.N. (2012). Effect of Radiation on MHD Convection Flow Past a Vertical Permeable Moving Plate, International Journal of Advances in Applied Sciences (IJAAS), 1(1), 19–28.
Sivaaih, S., Murali, G., Reddy, M.C.K., Srinivasa R. (2012). Unsteady MHD mixed convection flow past a vertical porous plate in prsesence of radiation, International journal of basic and applied sciences, 1(4), 651–666.
Reddy, M.C.K., Murali, G., Sivaiah, S., Babu, N.V.N. (2012). Heat and mass transfer effects on unsteady MHD free convection flow past a vertical permeable moving plate with radiation, International Journal of Applied Mathematical Research, 1(2), 189–205.
Sivaiah, S., Murali, G., Reddy, M.C.K. (2012). Finite Element Analysis of Chemical Reaction and Radiation Effects on Isothermal Vertical Oscillating Plate with Variable Mass Diffusion, International Scholarly Research Network ISRN Mathematical Physics, 2012, 401515, doi:10.5402/2012/401515.
Murali, G., Sheri, S., Reddy, M.C.K. (2012). Soret and dufour effects on unsteady mhd mixed convection flow past a verticle porous plate with thermal radiation, Caspian journal of applied sciences research, 1(9). doi: 10.4236/am.2012.37105
Singh, N., Kaur, J., Thakur, P., Murali, G. (2023). Structural behaviour of annular isotropic disk made of steel/copper material with gradually varying thickness subjected to internal pressure, structural integrity and life, 23(3), 293–297.
Sheri, S., Gundagani, M., Karanamu, M. P. (2012). Analysis of Heat and Mass Transfer Effects on an Isothermal Vertical Oscillating Plate.Walailak Journal of Science and Technology (WJST), 9(4),407–415. https://wjst.wu.ac.th/index.php/wjst/article/view/451
Eswaramoorthi, S., Sivasankaran, S. (2022). Entropy optimization of MHD Casson-Williamson Fluid Flow over a convectively heated stretchy sheet with Cattaneo-Christov dual Flux. Scientia Iranica, 29(5), 2317-2331. doi: 10.24200/sci.2022.58291.5654
Prabakaran R, Eswaramoorthi S, Loganathan K, Sarris IE. Investigation on Thermally Radiative Mixed Convective Flow of Carbon Nanotubes/Al2O3 Nanofluid in Water Past a Stretching Plate with Joule Heating and Viscous Dissipation. Micromachines. 2022; 13(9):1424. https://doi.org/10.3390/mi13091424
Riaz, S., Afzaal, M. F., Wang, Z., Jan, A., & Farooq, U. (2023). Numerical heat transfer of non-similar ternary hybrid nanofluid flow over linearly stretching surface. Numerical Heat Transfer, Part A: Applications, 1–15. https://doi.org/10.1080/10407782.2023.2251093
Cui J, Jan A, Farooq U, Hussain M, Khan WA. (2022). Thermal Analysis of Radiative Darcy–Forchheimer Nanofluid Flow across an Inclined Stretching Surface. Nanomaterials. 12(23), 4291. https://doi.org/10.3390/nano12234291
Farooq, J., Mushtaq, M., Munir, S. et al. Slip flow through a non-uniform channel under the influence of transverse magnetic field. Sci Rep 8, 13137 (2018). https://doi.org/10.1038/s41598-018-31538-8
Jan, A, Mushtaq, M, Farooq, U, Hussain, M. (2022). Nonsimilar analysis of magnetized Sisko nanofluid flow subjected to heat generation/absorption and viscous dissipation, Journal of Magnetism and Magnetic Materials, 564(2), 170153 https://doi.org/10.1016/j.jmmm.2022.170153.
Cui, J., Munir, Sh., Raies, S. F., Farooq, U., Razzaq, R. (2022). Non-similar aspects of heat generation in bioconvection from flat surface subjected to chemically reactive stagnation point flow of Oldroyd-B fluid, Alexandria Engineering Journal, 61(7), 5397–5411, https://doi.org/10.1016/j.aej.2021.10.056.
Vajravelu, K., Nayfeh, J. (1992).Hydromagnetic convection at a cone and a wedge, Int. Commun. Heat Mass Tranf., 19, 701–710.
Chamkha, J. A. (1996). Non-Darcy hydromagnetic free convection from a cone and a wedge in porous media, Int. Commun. Heat Mass Tranf., 23(6), 875–887.
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