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Analysis of Entropy Generation in Hydromagnetic Micropolar Fluid Flow over an Inclined Nonlinear Permeable Stretching Sheet with Variable Viscosity | ||
| Journal of Applied and Computational Mechanics | ||
| مقاله 23، دوره 6، Special Issue، اسفند 2020، صفحه 1301-1313 اصل مقاله (1.31 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2019.30990.1807 | ||
| نویسندگان | ||
| Ephesus Olusoji Fatunmbi* 1؛ Sulyman Olakunle Salawu2 | ||
| 1Department of Mathematics and Statistics, Federal Polytechnic, Ilaro, Nigeria | ||
| 2Department of Mathematics, Landmark University, Omu-Aran, Nigeria | ||
| چکیده | ||
| A numerical analysis is performed on entropy generation in a radiative and dissipative hydromagnetic micropolar fluid prompted by a nonlinearly stretching sheet with the impact of non-uniform heat source/sink, variable magnetic field, electrical conductivity, and dynamic viscosity. The main equations are computationally solved via shooting techniques in the company with Runge-Kutta algorithms. The impact of the prominent controlling parameters is graphically checked on the velocity, temperature, microrotation, entropy generation, and Bejan number. An excellent relationship exists between the results obtained with related studies previously reported in the literature in the limiting conditions. More so, it is revealed by the findings that the irreversibility due to heat transfer is dominant over viscous dissipation irreversibility as the radiation parameter advances while the trend changes with the Brikman number parameter. | ||
| کلیدواژهها | ||
| Entropy generation؛ Micropolar fluid؛ Inclined sheet؛ Variable viscosity؛ Stretching sheet | ||
| مراجع | ||
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[1] Srinivasacharya, D., Mendu, U., Free convection in MHD micropolar fluid with radiation and chemical reaction effects, Chem. Ind. Chem. Eng., 20(2), 2014, 183-195.
[2] Sangtani Lakhwani, N.M., Nicolleau, F.C.G.A., Brevis, W., Lattice Boltzmann Method Simulations of High Reynolds Number Flows Past Porous Obstacles, Int. J. Appl. Mech., 11(3), 2019, 1950028.
[3] Eringen, A.C., Theory of micropolar fluids. J. Math. Anal. Appl., 16, 1966, 1-18.
[4] Eringen, A.C., Theory of thermo-micro fluids. Journal of Mathematical Analysis and Applications, 38, 1972, 480-496.
[5] Lukaszewicz, G., Micropolar fluids: Theory and Applications (1st Ed.). Birkhauser, Boston, 1999.
[6] Rahman, M.M., Convective flows of micropolar fluids from radiate isothermal porous surface with viscous dissipation and joule heating, Commun Nonlinear Sci. Numer Simulat, 14, 2009,3018-3030.
[7] Reena, Rana, U.S., Effect of Dust Particles on rotating micropolar fluid heated from below saturating a porous medium, Applications, and Applied Mathematics: An International Journal, 4, 2009, 189-217.
[8] Sakiadis, B.C., Boundary layer behavior on continuous solid surfaces: II The boundary layer on a continuous flat surface, A.I.Ch.E.J., 7, 1961, 221-225.
[9] Crane, L.J., Flow past a stretching plate, Communications Breves, 21, 1970, 645-647.
[10] Gupta, P.S., Gupta, A.S., Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. Chem. Eng., 55, 1977, 744-746.
[11] Vajravelu, K., Viscous flow over a nonlinearly stretching sheet, Appl. Math. Comput., 124, 2001, 281-288.
[12] Kumar, L,.Finite element analysis of combined heat and mass transfer in hydromagnetic micropolar flow along a stretching sheet, Comput Mater Sci, 46, 2009, 841-848.
[13] Fomicheva, M., Müller, W.H., Vilchevskaya, E.N., Bessonov, N., Funnel flow of a Navier-Stokes-Fluid with potential applications to micropolar media, Facta Universitatis, Series: Mechanical Engineering, 17(2), 2019, 255, 267.
[14] Qasim, M., Khan, I., Shafle, S. Heat transfer in a micropolar fluid over a stretching sheet with Newtonian heating, Plos One, 8(4), 2013, 1-6.
[15] Cortell, R, Viscous flow and heat transfer over a nonlinearly stretching sheet, Applied Mathematics and Computation, 184, 2007, 864-873.
[16] Cortell, R., Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet, Physics Letters A, 372, 2008, 631-636.
[17] Alinejad, J., Samarbakhsh, S., Viscous flow over nonlinearly stretching sheet with effects of viscous dissipation, Journal of Applied Mathematics, 2012, 2012, 1-10.
[18] Daniel, Y.S., Steady MHD boundary layer slip flow and heat transfer of nanofluid over a convectively heated of a nonlinear permeable sheet, Journal of Advanced Mechanical Engineering, 3, 2015, 1-14.
[19] Salem, A.M., Tthe effects of variable viscosity, viscous dissipation and chemical reaction and heat and mass transfer of flow of MHD micropolar fluid along a permeable stretching sheet in a non-darcian porous medium, Mathematical Problems in Engineering, 2013,1-10.
[20] Hsiao, K.L., Heat and mass transfer for micropolar flow with radiation effect past a nonlinearly stretching sheet, Heat Mass Transfer, 46, 2010, 413-419.
[21] Ahmad, K, Ishak, A., Nazar, R., Micropolar fluid flow and heat transfer over a nonlinearly stretching plate with viscous dissipation, Mathematical Problems in Engineering, 2013, 1-5.
[22] Shamshuddin, M., Thirupathi, T., Satya Narayana, P., Micropolar Fluid Flow Induced due to a Stretching Sheet with Heat Source/Sink and Surface Heat Flux Boundary Condition Effects, J. Appl. Comput. Mech., 5(5), 2019, 816-826.
[23] Waqas, M., Farooq, M., Khan, M.J., Alsaedi, A., Hayat, T., Yasmeen, T., Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition, International Journal of Heat and Mass Transfer, 102, 2016, 766-772.
[24] Shamshuddin, M.D., Thumma, T., Numerical study of dissipative micropolar fluid flow past an inclined porous plate with heat source/sink, Propulsion and Power Research, 8(1), 2017, 56-68.
[25] Khan, W., Gul, T., Idrees, M., Islam, S, Khan, I., Dennis, L. C.C., Thin-film Williamson nanofluid flow with varying viscosity and thermal conductivity on a time-dependent stretching sheet, Applied Sciences, 6, 2016,1-33.
[26] Rahman, M. M., Locally similar solutions for hydromagnetic and thermal slip flow boundary layers over a flat plate with variable fluid properties and convective surface boundary condition, Meccanica, 46, 2011,1127-1143.
[27] Akinbobola, T. E., Okoya, S. S., The flow of second-grade fluid over a stretching sheet with variable thermal conductivity and viscosity in the presence of heat source/sink, Journal of Nigeria Mathematical Society, 34, 2015, 331-342.
[28] Fatunmbi, E. O., Fenuga, O. J., MHD micropolar fluid flow over a permeable stretching sheet in the presence of variable viscosity and thermal conductivity with Soret and Dufour effects, International Journal of Mathematical Analysis and Optimization: Theory and Applications, 2017, 211- 232.
[29] Kobo, N.S., Makinde, O.D., Second law analysis for variable viscosity reactive Couette flow under Arrhenius kinetics, Mathematical Problems in Engineering, 2010, 1-15
[30] Bejan, A., Second law analysis in heat transfer and thermal design, Adv. Heat Transf., 15, 1982, 1-58.
[31] Bejan, A., Entropy Generation Minimization, CRC: Boca Raton, FL, USA. 1996.
[32] Makinde, O.D., Second law analysis for variable viscosity hydromagnetic boundary layer flow with thermal radiation and Newtonian heating, Entropy, 13(8), 2011, 1446-1464.
[33] Salawu, S.O., Kareem, R A., Shonola, S. A. Radiative thermal criticality and entropy generation of hydromagnetic reactive Powell-Eyring fluid in saturated porous media with variable conductivity, Energy Reports, 5, 2019, 480-488.
[34] Alsabery, A.I., Ishak, M.S., Chamkha, J. A., Hashim, I.. Entropy Generation Analysis and Natural Convection in a Nanofluid-Filled Square Cavity with a Concentric solid insert and different temperature distributions, Entropy, 20, 2018, 1-24.
[35] Afridi, M.I., Qasim, M., Khan, I., Shafie, S.., Alshomran, A.S., Entropy generation in magnetohydrodynamic mixed convection flow over an inclined stretching sheet, Entropy, 19, 2017, 1-11.
[36] Eegunjobi, A. S., Makinde, O.D., Irreversibility analysis of MHD Buoyancy-driven variable viscosity liquid film along an inclined heated plate convective cooling, Journal of Applied and Computational Mechanics, 5(5), 2019, 840-848.
[37] Salawu, S.O., Fatunmbi, E.O. Inherent irreversibility of hydromagnetic Third-grade reactive Poiseuille flow of a variable viscosity in porous media with convective cooling, Journal of the Serbian Society for Computational Mechanics, 11(1), 2017, 46-58.
[38] Afridi, M.I., Qasim, M., Makinde, O.D. Minimization of entropy production in three-dimensional Dissipative flow of Nanofluid with graphene nanoparticles: A numerical study, Defect and Diffusion Forum, 387, 2018, 157-165.
[39] Ishak, M., Ali, G., Sha, Z., Islam, S., Muhammad, S., Entropy generation on nanofluid thin film of Eyring-Powell fluid with thermal radiation and MHD effect on an unsteady porous stretching sheet, Entropy, 20, 2018, 1-24.
[40] Afridi, M.I., Qasim, M., Makinde, O.D. Entropy generation due to heat and mass transfer in a flow of dissipative elastic fluid through a porous medium, Journal of Heat Transfer, 141, 2019, 1-9.
[41] Rahman, M.M., Aziz, A., Al-Lawatia, M.A., Heat transfer in micropolar fluid along an inclined permeable plate with variable fluid properties, International Journal of Thermal Sciences, 49, 2010, 993-1002.
[42] Das, K., Slip effects on heat and mass transfer in MHD micropolar fluid flow over an inclined plate with thermal radiation and chemical reaction, Int. J. Numer. Meth. Fluids, 70(1), 2012, 96-113.
[43] Ishak, A., Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition, Applied Mathematics, and Computation, 217, 2010, 837-842.
[44] Yazdi, M.H., Abdullah, S., Hashim, I. and Sopian, K. Effects of viscous dissipation on the slip MHD flow and heat transfer past a permeable surface with convective boundary conditions, Energies, 4, 2011, 2273-2294.
[45] Helmy, K.A., MHD boundary layer equations for power-law fluids with variable electric conductivity, Meccanica, 30, 1995, 187-200.
[46] Pal, D., Mondal, H., Effect of Soret Dufour, chemical reaction and thermal radiation on MHD non-Darcy unsteady mixed convective heat and mass transfer over a stretching sheet, Commun. Nonlinear Sci. Numer. Simulat., 16, 2011, 1942-1958.
[47] Ling, J., Dybbs, A., Forced convection over a flat plate submerged in a porous medium: variable viscosity case, American Society of Mechanical Engineers, 1987, 13-18.
[48] Rawat, S., Kapoor, S., Bhargava, R., MHD flow heat and mass transfer of micropolar fluid over a nonlinearly stretching sheet with variable micro inertial density, heat flux and chemical reaction in a non-Darcy medium, Journal of Applied Fluid Mechanics, 9(1), 2016, 321-331.
[49] Hayat, T., Abbas, Z., Javed, T., Mixed convection flow of a micropolar fluid over a non-linearly stretching sheet, Physic Letter A, 372, 2008, 637-647.
[50] El-Aziz, M, Saleem, S., Numerical simulation of entropy generation for power-law liquid flow over a permeable exponential stretched surface with variable heat source and heat flux, Entropy, 21, 2019, 1-19.
[51] Grubka, L.J., Bobba, K.M., Heat transfer characteristic of a continuous stretching surface with variable temperature, Journal of Heat Transfer, 107, 1985, 248-250.
[52] Ullah, I., Shafie, S., Khan, I., Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium, Journal of King Saud University Science, 29, 2017, 250-259.
[53] Lu, D., Ramzan, M., Ahmadi, S. Chung, J. D., Farooq, U., A numerical treatment of MHD radiative flow of micropolar nanofluid with homogeneous-heterogeneous reactions past a nonlinear stretched surface, Scientific Reports, 8, 2018, 1-17.
[54] Seddeek, M. A., Salem, A.M. Further results on the variable viscosity with magnetic field on flow and heat transfer to a continuous moving flat plate, Physics Letters A, 353, 2006, 337-340. | ||
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