Simultaneous effects of Brownian motion and thermophoretic force on Eyring–Powell fluid through porous geometry

References

[1] A. T. Akinshilo and O. Olaye, “On the analysis of the Erying Powell model-based fluid flow in a pipe with temperature dependent viscosities and internal heat generation,” J. King Saud Eng. Sci., vol. 31, pp. 271–279, 2019. https://doi.org/10.1016/j.jksues.2017.09.001.Search in Google Scholar

[2] E. O. Fatunmbi and A. T. Adeosun, “Nonlinear radiative Eyring–Powell nanofluid flow along a vertical Riga plate with exponential varying viscosity and chemical reaction,” Int. Commun. Heat Mass Tran., vol. 119, p. 104913, 2020. https://doi.org/10.1016/j.icheatmasstransfer.2020.104913.Search in Google Scholar

[3] M. Nazeer, M. I. Khan, M. U. Rafiq, and N. B. Khan, “Numerical and scale analysis of Eyring–Powell nanofluid towards a magnetized stretched Riga surface with entropy generation and internal resistance,” Int. Commun. Heat Mass Tran., vol. 119, p. 104968, 2020. https://doi.org/10.1016/j.icheatmasstransfer.2020.104968.Search in Google Scholar

[4] T. Javed, M. Faisal, and I. Ahmad, “Dynamisms of solar radiation and prescribed heat sources on bidirectional flow of magnetized Eyring–Powell nanofluid,” Case Stud. Them. Eng., vol. 21, p. 100689, 2020. https://doi.org/10.1016/j.csite.2020.100689.Search in Google Scholar

[5] S. O. Salawu, R. A. Kareem, and S. A. Shonola, “Radiative thermal criticality and entropy generation of hydromagnetic reactive Powell–Eyring fluid in saturated porous media with variable conductivity,” Energy Rep., vol. 5, pp. 480–488, 2019. https://doi.org/10.1016/j.egyr.2019.04.014.Search in Google Scholar

[6] A. A. Khan, F. Zaib, and A. Zaman, “Effects of entropy generation on Powell–Eyring fluid in a porous channel,” J. Braz. Soc. Mech. Sci. Eng., vol. 39, pp. 5027–5036, 2017. https://doi.org/10.1007/s40430-017-0881-y.Search in Google Scholar

[7] J. Rahimi, D. D. Ganji, M. Khaki, and K. Hosseinzadeh, “Solution of the boundary layer flow of an Eyring–Powell non-Newtonian fluid over a linear stretching sheet by collocation method,” Alexandria Eng. J., vol. 56, pp. 621–627, 2017. https://doi.org/10.1016/j.aej.2016.11.006.Search in Google Scholar

[8] Y. Chu, F. Ahmad, M. I. Khan, et al.., “Numerical and scale analysis of non-Newtonian fluid (Eyring–Powell) through pseudo-spectral collocation method (PSCM) towards a magnetized stretchable Riga surface,” Alexandria Eng. J., vol. 60, no. 2, pp. 2127–2137, 2021. https://doi.org/10.1016/j.aej.2020.12.017.Search in Google Scholar

[9] F. Ahmad, M. Nazeer, M. Saeed, A. Saleem, and W. Ali, “Heat and mass transfer of temperature-dependent viscosity models in a pipe: effects of thermal radiation and heat generation,” Z. Naturforsch., vol. 75, no. 3, pp. 225–239, 2021. https://doi.org/10.1515/zna-2019-0332.Search in Google Scholar

[10] A. Zeeshan, Z. Ali, M. R. Gorji, F. Hussain, and S. Nadeem, “Flow analysis of biconvective heat and mass transfer of two-dimensional couple stress fluid over a paraboloid of revolution,” Int. J. Mod. Phys. B, vol. 34, no. 11, p. 2050110, 2020. https://doi.org/10.1142/s0217979220501106.Search in Google Scholar

[11] R. Ellahi, A. Zeeshan, F. Hussain, and A. Asadollahi, “Peristaltic blood flow of couple stress fluid suspended with nanoparticles under the influence of chemical reaction and activation energy,” Symmetry, vol. 11, p. 276, 2019. https://doi.org/10.3390/sym11020276.Search in Google Scholar

[12] R. Ellahi, A. Zeeshan, F. Hussain, and T. Abbas, “Thermally charged MHD bi-phase flow coatings with non-Newtonian nanofluid and hafnium particles along slippery walls,” Coatings, vol. 9, no. 5, p. 300, 2019. https://doi.org/10.3390/coatings9050300.Search in Google Scholar

[13] R. Ellahi, A. Zeeshan, F. Hussain, and T. Abbas, “Study of shiny film coating on multi-fluid flows of a rotating disk suspended with nano-sized silver and gold particles: a comparative analysis,” Coatings, vol. 8, no. 12, p. 422, 2018. https://doi.org/10.3390/coatings8120422.Search in Google Scholar

[14] H. Firdous, S. M. Husnine, F. Hussain, and M. Nazeer, “Velocity and thermal slip effects on two-phase flow of MHD Jeffrey fluid with the suspension of tiny metallic particles,” Phys. Scripta, vol. 96, no. 2, 2020, Art no. 025803. https://doi.org/10.1088/1402-4896/abcff0.Search in Google Scholar

[15] N. A. Zainal, R. Nazar, K. Naganthran, and I. Pop, “MHD mixed convection stagnation point flow of a hybrid nanofluid past a vertical flat plate with convective boundary condition,” Chin. J. Phys., vol. 66, pp. 630–644, 2020. https://doi.org/10.1016/j.cjph.2020.03.022.Search in Google Scholar

[16] F. Hussain, R. Ellahi, and A. Zeeshan, “Mathematical models of electro-magnetohydrodynamic multiphase flows synthesis with nano-sized Hafnium particles,” Appl. Sci., vol. 8, no. 2, p. 275, 2018. https://doi.org/10.3390/app8020275.Search in Google Scholar

[17] A. T. Akinshilo and M. G. Sobamowo, “Perturbation solutions for the study of MHD Blood as a third grade nanofluid transporting Gold nanoparticles through a porous channel,” J. Appl. Comput. Mech., vol. 3, no. 2, pp. 103–113, 2017.Search in Google Scholar

[18] A. T. Akinshilo, J. O. Olofinkua, and O. Olaye, “Flow and heat transfer analysis of sodium alginate conveying copper nanoparticles between two parallel plates,” J. Appl. Comput. Mech., vol. 3, pp. 258–266, 2017.Search in Google Scholar

[19] M. G. Sobamowo and A. T. Akinshilo, “On the analysis of squeezing flow of nanofluid between two parallel plates under the influence of magnetic field,” Alexandria Eng. J., vol. 57, no. 3, pp. 1413–1423, 2018. https://doi.org/10.1016/j.aej.2017.07.001.Search in Google Scholar

[20] M. Nazeer, N. Ali, F. Ahmad, and M. Latif, “Numerical and perturbation solutions of third-grade fluid in a porous channel: boundary and thermal slip effects,” Pramana, vol. 94, p. 44, 2020. https://doi.org/10.1007/s12043-019-1910-4.Search in Google Scholar

[21] R. Ellahi, F. Hussain, F. Ishtiaq, and A. Hussain, “Peristaltic transport of Jeffrey fluid in a rectangular duct through a porous medium under the effect of partial slip: an application to upgrade industrial sieves/filters,” Pramana, vol. 93, p. 34, 2019.10.1007/s12043-019-1781-8Search in Google Scholar

[22] X. Si, L. Zheng, X. Zhang, and Y. Chao, “The flow of a micropolar fluid through a porous channel with expanding or contracting walls,” Cent. Eur. J. Phys., vol. 9, no. 3, pp. 825–834, 2011. https://doi.org/10.2478/s11534-010-0100-2.Search in Google Scholar

[23] M. H. Hamdan, “Single-phase flow through porous channels a review of flow models and channel entry conditions,” Appl. Math. Comput., vol. 62, nos. 2–3, pp. 203–222, 1994. https://doi.org/10.1016/0096-3003(94)90083-3.Search in Google Scholar

[24] N. Ali, M. Nazeer, and F. Nazeer, “Flow and heat transfer analysis of an Eyring–Powell fluid in a pipe,” Z. Naturforsch., vol. 73, pp. 265–274, 2018. https://doi.org/10.1515/zna-2017-0435.Search in Google Scholar

[25] M. Nazeer, F. Ahmad, A. Saleem, et al.., “Effects of constant and space-dependent viscosity on Eyring–Powell fluid in a pipe: comparison of the perturbation and explicit finite difference methods,” Z. Naturforsch., vol. 74, pp. 961–969, 2019. https://doi.org/10.1515/zna-2019-0095.Search in Google Scholar

[26] M. Nazeer, F. Ahmad, M. Saeed, A. Saleem, S. Naveed, and Z. Akram, “Numerical solution for flow of an Eyring–Powell fluid in a pipe with prescribed surface temperature,” J. Braz. Soc. Mech. Sci. Eng., vol. 41, pp. 518–528, 2019. https://doi.org/10.1007/s40430-019-2005-3.Search in Google Scholar

[27] M. Nazeer, “Numerical and perturbation solutions of cross flow of an Eyring–Powell fluid,” SN Appl. Sci., vol. 3, p. 213, 2021. https://doi.org/10.1007/s42452-021-04173-8.Search in Google Scholar

[28] M. Nazeer, M. I. Khan, S. Kadry, et al.., “Regular perturbation solution of Couette flow (non-Newtonian) between two parallel porous plates: a numerical analysis with irreversibility,” Appl. Math. Mech., vol. 42, no. 1, pp. 127–142, 2021. https://doi.org/10.1007/s10483-021-2677-9.Search in Google Scholar

[29] M. Nazeer, F. Hussain, Q. Shahzad, Z. Ali, S. Kadry, and Y. Chu, “Computational study of solid–liquid supercritical flow of 4th-grade fluid through magnetized surface,” Phys. Scripta, vol. 96, 2021, Art no. 015201.10.1088/1402-4896/abc57fSearch in Google Scholar

[30] M. Nazeer, M. I. Khan, Y. Chu, S. Kadry, and M. R. Eid, “Mathematical modeling of multiphase flows of third-grade fluid with lubrication effects through an inclined channel: analytical treatment,” J. Dispersion Sci. Technol., https://doi.org/10.1080/01932691.2021.1877557.Search in Google Scholar

[31] M. Nazeer, N. Ali, F. Ahmad, et al.., “Effects of radiative heat flux and joule heating on electro-osmotically flow of non-Newtonian fluid: analytical approach,” Int. Commun. Heat Mass Tran., vol. 117, p. 104744, 2020. https://doi.org/10.1016/j.icheatmasstransfer.2020.104744.Search in Google Scholar

[32] M. G. Sobamowo and A. T. Akinshilo, “Analysis of flow, heat transfer and entropy generation in a pipe conveying fourth grade fluid with temperature dependent viscosities and internal heat generation,” J. Mol. Liq., vol. 241, pp. 188–198, 2017. https://doi.org/10.1016/j.molliq.2017.05.145.Search in Google Scholar

[33] G. Gupta and M. Massoudi, “Flow of a generalized second grade fluid between heated plates,” Acta Mech., vol. 99, pp. 21–33, 1993. https://doi.org/10.1007/bf01177232.Search in Google Scholar