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Investigation of Jeffery-Hamel Flow for Nanofluid in the Presence of Magnetic Field by a New Approach in the Optimal Homotopy Analysis Method | ||
| Journal of Applied and Computational Mechanics | ||
| مقاله 5، دوره 8، شماره 1، فروردین 2022، صفحه 48-59 اصل مقاله (533.85 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2020.31909.1937 | ||
| نویسندگان | ||
| Uddhaba Biswal* ؛ Snehashish Chakraverty | ||
| Department of Mathematics, National Institute of Technology Rourkela, Rourkela-769008, Odisha, India | ||
| چکیده | ||
| In this article, numerical study of nanofluid flow between two inclined planes is carried out under the influence of magnetic field. Water-based nanofluid with nanoparticle of Copper (Cu) is taken into consideration for the present investigation. An efficient numerical method namely Optimal Homotopy Analysis Method (OHAM) is employed to get an approximate series solution for the related governing differential equation. A new approach is proposed to determine the convergence controller parameters used in OHAM. For the validation of the proposed technique, the convergence of the obtained results is shown for different values of involved parameters. Moreover, residual errors for the different number of terms in the obtained series solution are represented graphically. Obtained numerical results from the proposed method are incorporated with the previous results and they are found to be in very good agreement. Impacts of involved parameters like nanoparticle volume fraction, Hartmann number and Reynolds number on non-dimensional velocity are also discussed. | ||
| کلیدواژه‌ها | ||
| Jeffery-Hamel flow؛ Nanofluid؛ Numerical solution؛ Optimal Homotopy Analysis Method؛ Non-linear Ordinary Differential Equation | ||
| مراجع | ||
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[1] Choi, S.U.S., Enhancing conductivity of fluids with nanoparticles, ASME Fluid Eng. Division, 231, 1995,99-105.
[2] Rajagopal, K.R. and Na, T.Y., Natural convection flow of a non-Newtonian fluid between two vertical flat plates. Acta Mechanica, 54(3-4), 1985, 239-246.
[3] Kargar, A. and Akbarzade, M., Analytic solution of natural convection flow of a non-newtonian fluid between two vertical flat plates using homotopy perturbation method (HPM). World Applied Sciences Journal, 20(11), 2012, 1459-1465.
[4] Ziabakhsh, Z. and Domairry, G., Analytic solution of natural convection flow of a non-Newtonian fluid between two vertical flat plates using homotopy analysis method. Communications in Nonlinear Science and Numerical Simulation, 14(5), 2009, 1868-1880.
[5] Biswal, U., Chakraverty, S. and Ojha, B.K., Natural convection of non-Newtonian nanofluid flow between two vertical parallel plates. International Journal of Numerical Methods for Heat & Fluid Flow, 29(6), 2019, 1984-2008.
[6] Jeffery, G.B., L. The two-dimensional steady motion of a viscous fluid. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 29(172), 1915, 455-465.
[7] Hamel, G., Spiralförmige Bewegungen zäher Flüssigkeiten. Jahresbericht der deutschen mathematiker-vereinigung, 25, 1917, 34-60.
[8] Esmaili, Q., Ramiar, A., Alizadeh, E. and Ganji, D.D., An approximation of the analytical solution of the Jeffery–Hamel flow by decomposition method. Physics Letters A, 372(19), 2008, 3434-3439.
[9] Sheikholeslami, M., Ganji, D.D., Ashorynejad, H.R. and Rokni, H.B., Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method. Applied Mathematics and Mechanics, 33(1), 2012, 25-36.
[10] Moradi, A., Alsaedi, A. and Hayat, T., Investigation of nanoparticles effect on the Jeffery–Hamel flow. Arabian Journal for Science and Engineering, 38(10), 2013, 2845-2853.
[11] Umavathi, J.C. and Shekar, M., Effect of MHD on Jeffery-Hamel flow in nanofluids by differential transform method. Int. Journal of Engineering Research and Applications, 3(5), 2013, 953-962.
[12] Moghimi, S.M., Domairry, G., Soleimani, S., Ghasemi, E. and Bararnia, H., Application of homotopy analysis method to solve MHD Jeffery–Hamel flows in non-parallel walls. Advances in Engineering Software, 42(3), 2011, 108-113.
[13] Nourazar, S.S., Nazari-Golshan, A. and Soleymanpour, F., On the expedient solution of the magneto-hydrodynamic Jeffery-Hamel flow of Casson fluid. Scientific Reports, 8(1), 2018, 16358.
[14] Turkyilmazoglu, M., Extending the traditional Jeffery-Hamel flow to stretchable convergent/divergent channels. Computers & Fluids, 100, 2014, 196-203.
[15] Freidoonimehr, N. and Rashidi, M.M., Dual solutions for MHD Jeffery-Hamel nano-fluid flow in non-parallel walls using predictor homotopy analysis method. Journal of Applied Fluid Mechanics, 8(4), 2015, 911-919.
[16] Makinde, O.D. and Mhone, P.Y., Hermite–Padé approximation approach to MHD Jeffery–Hamel flows. Applied Mathematics and Computation, 181(2), 2006, 966-972.
[17] Imani, A.A., Rostamian, Y., Ganji, D.D. and Rokni, H.B., Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by rvim, International Journal of Engineering, 25(3), 2012, 249-256.
[18] Motsa, S.S., Sibanda, P., Awad, F.G. and Shateyi, S., A new spectral-homotopy analysis method for the MHD Jeffery–Hamel problem. Computers & Fluids, 39(7), 2010, 1219-1225.
[19] Farooq, U., Lu, D., Munir, S., Ramzan, M., Suleman, M. and Hussain, S., MHD flow of Maxwell fluid with nanomaterials due to an exponentially stretching surface. Scientific Reports, 9(1), 2019, 7312.
[20] Turkyilmazoglu, M., Fully developed slip flow in a concentric annuli via single and dual-phase nanofluids models. Computer Methods and Programs in Biomedicine, 179, 2019, 104997.
[21] Turkyilmazoglu, M., Free and circular jets cooled by single-phase nanofluids. European Journal of Mechanics-B/Fluids, 76, 2019, 1-6.
[22] Alsabery, A.I., Chamkha, A.J., Saleh, H. and Hashim, I., Natural convection flow of a nanofluid in an inclined square enclosure partially filled with a porous medium. Scientific Reports, 7(1), 2017, 2357.
[23] Turkyilmazoglu, M., A note on the correspondence between certain nanofluid flows and standard fluid flows. Journal of Heat Transfer, 137(2), 2015, 024501.
[24] Liao, S.J., The proposed homotopy analysis technique for the solution of nonlinear problems, Ph.D. Thesis, Shanghai Jiao Tong University, 1992.
[25] Liao, S.J., A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate. Journal of Fluid Mechanics, 385, 1999, 101-128.
[26] Liao, S.J., An explicit, totally analytic approximate solution for Blasius’ viscous flow problems. International Journal of Non-Linear Mechanics, 34(4), 1999, 759-778.
[27] Brinkman, H.C., The viscosity of concentrated suspensions and solutions. Journal of Chemical Physics, 20(4), 1952, 571-571.
[28] Turkyilmazoglu, M., Single phase nanofluids in fluid mechanics and their hydrodynamic linear stability analysis. Computer Methods and Programs in Biomedicine, 187, 2020, 105171.
[29] Marinca, V. and Herişanu, N., Application of optimal homotopy asymptotic method for solving nonlinear equations arising in heat transfer. International Communications in Heat and Mass Transfer, 35(6), 2008, 710-715.
[30] Marinca, V., Herişanu, N., Bota, C. and Marinca, B., An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate. Applied Mathematics Letters, 22(2), 2009, 245-251.
[31] Chakraverty, S., Mahato, N., Karunakar, P. and Rao, T.D., Advanced Numerical and Semi-Analytical Methods for Differential Equations. John Wiley & Sons, USA, 2019.
[32] Gerald, C.F., Applied Numerical Analysis, Pearson Education India, Bengaluru, 2004. | ||
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