آمار
| تعداد نشریات | 31 |
| تعداد شماره‌ها | 1,003 |
| تعداد مقالات | 8,914 |
| تعداد مشاهده مقاله | 9,672,423 |
| تعداد دریافت فایل اصل مقاله | 7,963,989 |
Non-similar Radiative Bioconvection Nanofluid Flow under Oblique Magnetic Field with Entropy Generation | ||
| Journal of Applied and Computational Mechanics | ||
| مقاله 16، دوره 8، شماره 1، فروردین 2022، صفحه 206-218 اصل مقاله (3.58 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2020.33580.2250 | ||
| نویسندگان | ||
| Nisha Shukla1؛ Puneet Rana* 2، 3؛ Sireetorn Kuharat4؛ Osman Anwar Bég4 | ||
| 1Department of Mathematics, Institute of Applied Science and Humanities, GLA University, Mathura-281406, Uttar Pradesh, India | ||
| 2School of Mathematical Sciences, College of Science and Technology, Wenzhou Kean University, Wenzhou 325060, China | ||
| 3Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector 62, Noida 201309, India | ||
| 4Aeronautical and Mechanical Engineering, University of Salford, Newton Building, M54WT, UK | ||
| چکیده | ||
| Motivated by exploring the near-wall transport phenomena involved in bioconvection fuel cells combined with electrically conducting nanofluids, in the present article, a detailed analytical treatment using homotopy analysis method (HAM) is presented of non-similar bioconvection flow of a nanofluid under the influence of magnetic field (Lorentz force) and gyrotactic microorganisms. The flow is induced by a stretching sheet under the action of an oblique magnetic field. In addition, nonlinear radiation effects are considered which are representative of solar flux in green fuel cells. A second thermodynamic law analysis has also been carried out for the present study to examine entropy generation (irreversibility) minimization. The influence of magnetic parameter, radiation parameter and bioconvection Rayleigh number on skin friction coefficient, Nusselt number, micro-organism flux and entropy generation number (EGN) is visualized graphically with detailed interpretation. Validation of the HAM solutions with published results is also included for the non-magnetic case in the absence of bioconvection and nanofluid effects. The computations show that the flow is decelerated with increasing magnetic body force parameter and bioconvection Rayleigh number whereas it is accelerated with stronger radiation parameter. EGN is boosted with increasing Reynolds number, radiation parameter and Prandtl number whereas it is reduced with increasing inclination of magnetic field. | ||
| کلیدواژه‌ها | ||
| Non-similar؛ Bioconvection؛ Entropy؛ Oblique magnetic field؛ Homotopy Analysis Method | ||
| مراجع | ||
|
[1] Choi, S. U. S., Eastman, J. A., Enhancing Thermal Conductivity of Fluids with Nanoparticles, Argonne National Lab., IL (United States), ANL/MSD/CP--84938; CONF-951135-29, Available: https://www.osti.gov/scitech/biblio/196525/, 2017.
[2] Buongiorno, J., Convective Transport in Nanofluids, ASME Journal of Heat Transfer, 128(3), 2006, 240–250.
[3] Kuznetsov, A. V., Nield, D. A., Natural Convective Boundary-Layer Flow of a Nanofluid Past a Vertical Plate: A Revised Model, International Journal of Thermal Sciences, 77, 2014, 126–129.
[4] Mohyud-Din, Khan, S. T., U., Hassan, S. M., Numerical Investigation of Magnetohydrodynamic Flow And Heat Transfer of Copper–Water Nanofluid in A Channel with Non-Parallel Walls Considering Different Shapes of Nanoparticles, Advances in Mechanical Engineering, 8(3), 2016, 1-9.
[5] Rana, P., Bhargava, R., Bég, O. A., Numerical Solution For Mixed Convection Boundary Layer Flow Of A Nanofluid Along An Inclined Plate Embedded In A Porous Medium, Computers & Mathematics with Applications, 64(9), 2012, 2816–2832.
[6] Hunt, A. J., Small Particle Heat Exchangers. Department of Energy, Lawrence Berkeley Laboratory, Energy and Environment Division, 1978.
[7] Shehzad, S. A., Hayat, T., Alsaedi, A., Obid, M. A., Nonlinear Thermal Radiation in Three-Dimensional Flow of Jeffrey Nanofluid: A Model for Solar Energy, Applied Mathematics and Computation, 248, 2014, 273–286.
[8] Das, M. B., Mahatha, K., Nandkeolyar, R., Mixed Convection and Nonlinear Radiation in the Stagnation Point Nanofluid flow towards a Stretching Sheet with Homogenous-Heterogeneous Reactions effects, Procedia Engineering, 127, 2015, 1018–1025.
[9] Uddin, M. J., Rana, P., Bég, O. A., Ismail, A. I. Md., Finite Element Simulation of Magnetohydrodynamic Convective Nanofluid Slip Flow in Porous Media with Nonlinear Radiation, Alexandria Engineering Journal, 55(2), 2016, 1305–1319.
[10] Khan, U., Ahmed, N., Mohyud-Din, S. T., Mohsin, B. B., Nonlinear Radiation Effects on MHD Flow of Nanofluid over A Nonlinearly Stretching/Shrinking Wedge, Neural Computing and Application, 28(8), 2017, 2041–2050.
[11] Ashraf, E. E., Advected Bioconvection and the Hydrodynamics of Bounded Biflagellate Locomotion, PhD Thesis, University of Glasgow, 2011.
[12] Das, K., Duari, P. R., Kundu, P. K., Nanofluid Bioconvection in Presence of Gyrotactic Microorganisms and Chemical Reaction in A Porous Medium, Journal of Mechanical Science and Technology, 29(11), 2015, 4841–4849.
[13] Kuznetsov, A. V., Avramenko, A. A., Effect of Small Particles on this Stability of Bioconvection in A Suspension of Gyrotactic Microorganisms in A Layer of Finite Depth, International Communications in Heat and Mass Transfer, 31(1), 2004, 1–10.
[14] Hill, N. A., Pedley, T. J., Bioconvection, Fluid Dynamics Research, 37(1), 2005, 1–20.
[15] Alloui, Z., Nguyen, T. H., Bilgen, E., Bioconvection of Gravitactic Microorganisms in A Vertical Cylinder, International Communications in Heat and Mass Transfer, 32(6), 2005, 739–747.
[16] Uddin, Md. J., Kabir, M. N., Bég, O. A., Computational Investigation of Stefan Blowing and Multiple-Slip Effects on Buoyancy-Driven Bioconvection Nanofluid Flow with Microorganisms, International Journal of Heat and Mass Transfer, 95, 2016, 116–130.
[17] Dhanai, R., Rana, P., Kumar, L., Lie Group Analysis for Bioconvection MHD Slip Flow and Heat Transfer of Nanofluid over An Inclined Sheet: Multiple Solutions, Journal of the Taiwan Institute of Chemical Engineers, 66, 2016, 283–291.
[18] Khan, W., Rashad, A., Abdou, M. M. M., Tlili, I., Natural Bioconvection Flow of A Nanofluid Containing Gyrotactic Microorganisms about A Truncated Cone, European Journal of Mechanics - B/Fluids, 75, 2019, 133-142.
[19] Waqas, H., Khan S. U., Hassan, M. M., Bhatti, M., Imran, M., Analysis on the Bioconvection Flow of Modified Second-Grade Nanofluid Containing Gyrotactic Microorganisms and Nanoparticles, Journal of Molecular Liquids, 291, 2019, 111231.
[20] Rashad, A. M., Nabwey, H. A., Gyrotactic Mixed Bioconvection Flow of A Nanofluid Past A Circular Cylinder with Convective Boundary Condition, Journal of the Taiwan Institute of Chemical Engineers, 99, 2019, 9–17.
[21] Khan, N. S., Shah, Q., Bhaumik, A., Kumam, P., Thounthong, P., Amiri, I., Entropy Generation in Bioconvection Nanofluid Flow Between Two Stretchable Rotating Disks, Scientific Reports, 10(1), 2020, 1–26.
[22] Aneja, M., Sharma, S., Kuharat, S., Beg O. A., Computation of Electroconductive Gyrotactic Bioconvection under Nonuniform Magnetic Field: Simulation of Smart Bio-Nanopolymer Coatings for Solar Energy, International Journal of Modern of Physics, 34(5), 2020, 2050028.
[23] Khan, S. U., Shehzad, S. A., Ali, N., Bioconvection Flow of Magnetized Williamson Nanoliquid with Motile Organisms and Variable Thermal Conductivity, Applied Nanoscience, 10, 2020, 3325–3336.
[24] Lu, D., Ramzan, M., Ullah, N., Chung, J. D., Farooq, U., A Numerical Treatment of Radiative Nanofluid 3D Flow Containing Gyrotactic Microorganism with Anisotropic Slip, Binary Chemical Reaction and Activation Energy, Scientific Reports, 7(1), 2017, 17008.
[25] Singh, P. K., Anoop, K. B., Sundararajan, T., Das, S. K., Entropy Generation Due to Flow and Heat Transfer in Nanofluids, International Journal of Heat and Mass Transfer, 53(21), 2010, 4757–4767.
[26] Aiboud , S., Saouli, S., Second Law Analysis of Viscoelastic Fluid over A Stretching Sheet Subject to A Transverse Magnetic Field with Heat and Mass Transfer, Entropy, 12(8), 2010, 1867–1884.
[27] Butt, A. S., Munawar S., Ali, A., Mehmood, A., Entropy Generation in the Blasius Flow under Thermal Radiation, Physica Scripta, 85(3), 2012, 035008.
[28] Bhatti, M. M., Abbas, T., Rashidi, M. M., Entropy Generation as A Practical Tool of Optimisation for Non-Newtonian Nanofluid Flow through A Permeable Stretching Surface using SLM, Journal of Computational Design and Engineering, 4(1), 2017, 21–28.
[29] Bég, O., Kavyani, N. Islam M., Entropy Generation in Hydromagnetic Convective Von Karman Swirling Flow: Homotopy Analysis, International Journal of Applied Mathematics and Mechanics, 9, 2013, 37–65.
[30] Rashidi, M. M., Parsa, A. B., Bég, O. A., Shamekhi, L., Sadri, S. M., Bég, T. A., Parametric Analysis of Entropy Generation In Magneto-Hemodynamic Flow in A Semi-Porous Channel With OHAM and DTM, Applied Bionics and Biomechanics, 11, 2014, 47–60.
[31] Srinivas, J., Murthy, J. V. R., Beg. O. A., Entropy Generation Analysis of Radiative Heat Transfer Effects on Channel Flow of Two Immiscible Couple Stress Fluids, Journal of Brazilian Society of Mechanical Science and Engineering, 39(6), 2017, 2191–2202.
[32] Akbar, N. S., Shoaib, M., Tripathi, D., Bhushan, S., Bég, O. A., Analytical Approach To Entropy Generation And Heat Transfer In CNT-Nanofluid Dynamics Through A Ciliated Porous Medium, Journal of Hydrodynamics, 30(2), 2018, 296–306
[33] Jangili, S., Bég, O. A., Homotopy Study of Entropy Generation in Magnetized Micropolar Flow in A Vertical Parallel Plate Channel with Buoyancy Effect, Heat Transfer Research, 49(6), 2018, 529–553.
[34] Ramzan, M., Mohammad, M., Howari, F., Magnetized Suspended Carbon Nanotubes Based Nanofluid Flow with Bio-Convection and Entropy Generation Past a Vertical Cone, Scientific Reports, 9(1), 2019, 12225.
[35] Khan, N. S., Kumam, P., Thounthong, P., Second Law Analysis with Effects of Arrhenius Activation Energy and Binary Chemical Reaction on Nanofluid Flow, Scientific Reports, 10(1), 2020, 1226.
[36] Buongiorno, J., et al., A Benchmark Study on the Thermal Conductivity of Nanofluids, Journal of Applied Physics, 106(9), 2009, 094312.
[37] Kakaç, S., Pramuanjaroenkij, A., Review of Convective Heat Transfer Enhancement with Nanofluids, International Journal of Heat and Mass Transfer, 52(13), 2009, 3187–3196.
[38] Wong, K. V., Leon, O. D., Applications of Nanofluids: Current and Future, Advances in Mechanical Engineering, 2, 2010, 519659.
[39] Mahian, O., Kianifar, A. S., Kalogirou, A., Pop, I., Wongwises, S., A Review of the Applications of Nanofluids in Solar Energy, International Journal of Heat and Mass Transfer, 57(2), 2013, 582–594.
[40] Sheikholeslami, M., Ganji, D. D., Nanofluid Convective Heat Transfer Using Semi Analytical and Numerical Approaches: A Review, Journal of the Taiwan Institute of Chemical Engineers, 65, 2016, 43–77.
[41] Myers T., Cregan, V., Ribera, H., Does Mathematics Contribute to the Nanofluid Debate?, International Journal of Heat and Mass Transfer, 111, 2017, 279–288.
[42] Grosan, T., Sheremet, M., Pop, I., Heat Transfer Enhancement in Cavities Filled with Nanofluids: From Numerical to Experimental Techniques, CRC Press, 2017.
[43] Das, S. K., Choi, S. U. S., Yu, W., Pradeep, T., Nanofluids: Science and Technology, Wiley, 2019.
[44] Nield, D. A., Bejan, A., Convection in Porous Media, New York, Springer-Verlag, 2013.
[45] Shenoy, A., Sheremet, M., Pop I., Convective Flow and Heat Transfer from Wavy Surfaces: Viscous Fluids, Porous Media, and Nanofluids, CRC Press 2016.
[46] Lyu, Z., Asadi, A., Alarifi, I. M., Ali, V., Foong, L. K., Thermal and Fluid Dynamics Performance of MWCNT-Water Nanofluid Based on Thermophysical Properties: An Experimental and Theoretical Study, Scientific Reports, 10(1), 2020, 5185.
[47] Liao, S. J., A General Approach to Get Series Solution of Non-Similarity Boundary-Layer Flows, Communications in Nonlinear Science and Numerical Simulation, 14(5), 2009, 2144–2159.
[48] Kousar , N., Liao, S. J., Series Solution of Non-similarity Boundary-Layer Flows Over a Porous Wedge, Transport in Porous Media, 83(2), 2010, 397–412.
[49] Kousar, N., Liao, S., Series Solution of Non-Similarity Natural Convection Boundary-Layer Flows Over Permeable Vertical Surface, Science, China Physics, Mechanics and Astronomy, 53(2), 2010, 360–368.
[50] You, X., Xu, H., Liao, S. J., On the Nonsimilarity Boundary-Layer Flows of Second-Order Fluid over a Stretching Sheet, Journal of Applied Mechanics, 77, 2010, 1–8.
[51] Kousar, N., Liao, S., Unsteady Non-Similarity Boundary-Layer Flows Caused by An Impulsively Stretching Flat Sheet, Nonlinear Analysis: Real World Applications, 12(1), 2011, 333–342.
[52] Liao, S. J., Beyond Perturbation: Introduction to the Homotopy Analysis Method, Chapman & Hall/CRC Press, London/Boca Ratton, 2003.
[53] Farooq, U., Zhao, Y. L., Hayat, T., Alsaedi, A., Liao, S. J., Application of the HAM-Based Mathematica Package Bvph 2.0 on MHD Falkner–Skan Flow of Nano-Fluid, Computers & Fluids, 111, 2015, 69–75.
[54] Bejan, A., A Study of Entropy Generatio9n in Fundamental Convective Heat Transfer, Journal of Heat Transfer, 101(4), 1979, 718–725.
[55] Bég, O. A., Rashidi, M. M., Bég, T. A., Asadi, M., Homotopy Analysis of Transient Magneto-Bio-Fluid Dynamics of Micropolar Squeeze Film in A Porous Medium: A Model for Magneto-Bio-Rheological Lubrication, Journal of Mechanics in Medicine and Biology, 12(3), 2012.
[56] Bég, T. A., Bég, O., Asadi M., Homotopy Semi-Numerical Modelling of Nanofluid Convection Boundary Layers from an Isothermal Spherical Body in a Permeable Regime, International Journal of Microscale and Nanoscale Thermal Fluid Transport Phenomena, 3, 2013, 237–266.
[57] Tripathi, D., Bég, O. A., Curiel-Sosa, J. L., Homotopy semi-numerical simulation of peristaltic flow of generalised Oldroyd-B fluids with slip effects, Computer Methods in Biomechanics and Biomedical Engineering, 17(4), 2014, 433–442.
[58] Bég, O. A., Mabood, F., Islam, M. N., Homotopy Simulation of Nonlinear Unsteady Rotating Nanofluid Flow from a Spinning Body, International Journal of Engineering Mathematics, 2015, 272079.
[59] Ali, N., Asghar, Z., Bég, O. A., Sajid, M., Bacterial Gliding Fluid Dynamics on A Layer of Non-Newtonian Slime: Perturbation and Numerical Study, Journal of Theoretical Biology, 397, 2016, 22–32.
[60] Beg, O. A., Multi-Physical Electro-Magnetic Propulsion Fluid Dynamics : Mathematical Modelling and Computation, Mathematical Modeling : Methods, Applications and Research, 2018, 2–88.
[61] Abdallah, I. A., Homotopy Analytical Solution of MHD Fluid Flow and Heat Transfer Problem, Applied Mathematics & Information Sciences, 3(2), 2017, 223–233.
[62] Hayat, T., Imtiaz, M., Alsaedi, A., Partial Slip Effects in Flow over Nonlinear Stretching Surface, Journal of Applied Mathematics and Mechanics, 36(11), 2015, 1513–1526.
[63] Liao, S. J., Comparison between the Homotopy Analysis Method and Homotopy Perturbation Method, Applied Mathematics and Computation, 169(2), 2005, 1186–1194.
[64] Gupta, V. G., Gupta, S., Application of Homotopy Analysis Method for Solving Nonlinear Cauchy Problem, Surveys in Mathematics and its Applications, 7, 2012, 105–116.
[65] Gorder, Van, R. A., Vajravelu, K., On The Selection Of Auxiliary Functions, Operators, And Convergence Control Parameters In The Application Of The Homotopy Analysis Method To Nonlinear Differential Equations: A General Approach, Communications in Nonlinear Science and Numerical Simulation, 14(12), 2009, 4078–4089
[66] Yin, X.B., Kumar, S., Kumar, D., A modified homotopy analysis method for solution of fractional wave equations, Advances in Mechanical Engineering, 7(12), 2015, 1–8.
[67] Wang, C. Y., Stagnation Flow towards a Shrinking Sheet, International Journal of Non-Linear Mechanics, 43(5), 2008, 377–382.
[68] Khan, W. A., Pop, I., Boundary-layer flow of a nanofluid past a stretching sheet, International Journal of Heat and Mass Transfer, 53(11), 2010, 2477–2483.
[69] Gorla, R. S. R., Sidawi, I., Free convection on a vertical stretching surface with suction and blowing, Journal of Applied Science Research, 52(3), 1994, 247–257.
[70] Cramer, K. R., Bai, S., Pai, S., Magnetofluid Dynamics for Engineers and Applied Physicists, Scripta Publishing Company, 1973.
[71] Uddin, M. J., Alginahi, Y., Bég, O. A., Kabir, M. N., Numerical Solutions for Gyrotactic Bioconvection in Nanofluid-Saturated Porous Media with Stefan Blowing and Multiple Slip Effects, Computers & Mathematics with Applications, 72(10), 2016, 2562–2581.
[72] Katz, E., Lioubashevski, O., Willner, I., Magnetic Field Effects on Bioelectrocatalytic Reactions of Surface-Confined Enzyme Systems: Enhanced Performance of Biofuel Cells, Journal of American Chemical Society, 127(11), 2005, 3979–3988
[73] Goh, W. J. et al., Iron Oxide Filled Magnetic Carbon Nanotube-Enzyme Conjugates for Recycling of Amyloglucosidase: Toward Useful Applications in Biofuel Production Process, Langmuir, 28, 2012, 16864–16873. | ||
|
آمار تعداد مشاهده مقاله: 847 تعداد دریافت فایل اصل مقاله: 734 |
||