Analytical Solution of Electromagnetic Force on Nanofluid Flow with Brownian Motion Effects Between Parallel Disks

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, Iran

2 Department of Mechanical Engineering, Babol Noushirvani University of Technology, Babol, Iran

Abstract

The innovation of the present paper is the analytical study of Brownian motion effects on nanofluid flow and electromagnetic force between parallel disks with a heat source. Nanoparticle effects on nondimensional temperature field and velocity of fluid flow were analyzed using Akbari-Ganji’s Method and radial basis function approximation based on Hardy multiquadric function. Akbari-Ganji’s Method (AGM) is a strong analytical method that solves any linear and nonlinear differential equation with any degree of variables. Radial basis functions is an approximation method for analyzing functions and equations at high degrees, especially when it is necessary to apply the interpolation problem for scattered data on irregular geometry. The results signified that the maximum difference between AGM and RBF methods, for nondimensional horizontal velocity on CuO nanofluid at  and is 0.2251 and the minimum difference for the nondimensional vertical velocity of Al2O3 nanofluid at   is equal to 0.0018. Also, the effects of the Hartmann number (Ha) on nondimensional horizontal and vertical velocities field for Al2O3 nanoparticles at  have a slight difference from the other Hartmann values using the AGM method. The maximum of nondimensional horizontal velocities at  and  is equal to 1.9354.

Keywords

Main Subjects

References

  1. Hosseinzadeh, Kh., Alizadeh, M., and Ganji, D. D., “Hydrothermal Analysis on MHD Squeezing Nanofluid Flow in Parallel Plates by Analytical Method,” International Journal of Mechanical and Materials Engineering, Vol. 15, No. 8 (2020). https://doi.org/ 1186/s40712-018-0089-7
  2. Asefi, M., Molavi, H., Shariaty-Niassar, M., babaee Darband, j., Nemati, N., Yavari, M., and Akbari, M., “An Investigation on Stability, Electrical and Thermal Characteristics of Transformer Insulating Oil Nanofluids,” International Journal of Engineering, Transactions A: Basics, Vol. 29, No. 10, (2016), 1332-1340. https://doi.org/0.5829/idosi.ije.2016.29.10a.02
  3. Ravindran, R., Ganapathirao, M., Pop, I., “Effects of Chemical Reaction and Heat Generation/Absorption on Unsteady Mixed Convection MHD Flow Over A Vertical Cone With Non-Uniform Slot Mass Transfer,” International Journal of Heat and Mass Transfer, Vol. 73, (2014), 743-751. https://doi.org/ 10.1016/j.ijheatmasstransfer.2014.02.053
  4. Motahar, S., “A Neural Network Approach to Estimate Non-Newtonian Behavior of Nanofluid Phase Change Material Containing Mesoporous Silica Particles, ” International Journal of Engineering, Transactions B: Applications, Vol. 34, No. 08, (2021), 1974-1981. https://doi.org/10.5829/ije.2021.34.08b.18
  5. Asgari, M., Tariverdilo, S., “Investigating The Seismic Response of Structural Walls Using Nonlinear Static and Incremental Dynamic Analyses, ” International Journal of Engineering, Transactions B: Applications, Vol. 30, No. 11, (2017), 1691-1699. https://doi.org/10.5829/ije.2017.30.11b.09
  6. Han He, Ji., Mostapha, Doaa R., “Insight into the Significance of Hall Current and Joule Heating on the Dynamics of Darcy–Forchheimer Peristaltic Flow of Rabinowitsch Fluid, ” Journal of Mathematics, (2021) Article ID 3638807. https://doi.org/10.1155/2021/3638807
  7. Han He, Ji., Abed Elzam., N. Y., “Insights into partial slips and temperature Jumps of a nanofluid flow over a stretched or shrinking surface, ”Journal of Energies, Vol. 14, No. 20, (2021), 6691. https://doi.org/10.3390/en14206691
  8. Rashidi, M. M., Alhuyi Nazari, M., Mhariq, I, Ali, N,“Modeling and Sensitivity Analysis of thermal Conductivity of Ethylene Glycol-Water Based Nanofluids with Alumina Nanoparticles, ” Computations & Experiments on Dynamics of Complex Fluid & Structure, (2022) 1-8. https://doi.org/10.1007/s40799-022-00567-4
  9. Alagumalai, A., Qin, C., Vimal, K.E.K., Solomin, E., Yang, L., Zhang, P., Otanicar, T., Kasaeian, A., Chamkha, A.J., Rashidi, M.M. and Wongwises, S., “Conceptual Analysis Framework Development to Understand Barriers of Nanofluid Commercialization, ”Journal of Nano Energy, Vol. 92, (2022), 106736. https://doi.org/ 10.1016/j.nanoen.2021.106736
  10. Nouri, K., Nazari, M., and Torkzadeh, L., “Numerical Approximation of The System of Fractional Differential Equations with Delay and Its Applications,” The European Physical Journal Plus, Vol. 135, No. 3, (2020) 1-14. https://doi.org/10.1140/epjp/s13360-020-00351-6
  11. Nouri, K., Baleanu, D., and Torkzadeh, L., “Study on Application of Hybrid Functions To Fractional Differential Equations,” Iranian Journal of Science and Technology, Transactions A: Science, Vol. 42, No. 4, (2018), 1343-1350. https://doi.org/ 10.1007/s40995-017-0224-y
  12. Dadsetadi, S., Nouri, K., and Torkzadeh, L., “Solvability of Some Nonlinear Integro-Differential Equations of Fractional Order Via Measure of Noncompactnes,” The Pure and Applied Mathematics, Vol. 27, No. 1, (2020), 13-24. https://doi.org/10.7468/jksmeb.2020.27.1.13
  13. Pourziaei Araban. H., Alinejad, J., Peiravi, M. M., and Domairry Ganji, D., “3D Numerical Simulation of Cavity with Bottom Heat Source for Ra-Nu Correlation,” Transport Phenomena Nano Micro Scales, (2021). https://doi.org/10.1140/epjp/s13360-020-00351-6
  14. Eringen, A., “Theory of Micropolar Fluids,” Journal of Mathmatics, Vol. 16, No. 1, (1966), 1-18.
  15. Mustafa, M., Hayat, T., and Obaidat, S., “On Heat And Mass Transfer in The Unsteady Squeezing Flow Between Parallel Plates,” Meccanica, Vol. 47, No. 7, (2012), 1581-1589. https://doi.org/ 10.1007/s11012-012-9536-3
  16. Koo, J., and Kleinstreuer, C., “Laminar Nanofluid Flow in Micro heat-Sinks,” International Journal of Heat and Mass Transfer, Vol. 48, No. 7, (2005), 2652-2661. https://doi.org/ 10.1016/j.ijheatmasstransfer.2005.01.029
  17. Salehi, S., Nori, A., Hosseinzadeh, Kh., and Ganji, D. D., “Hydrothermal Analysis Of MHD Squeezing Mixture Fluid Suspended By Hybrid Nanoparticles Between Two Parallel Plates,” Case Studies in Thermal Engineering, Vol. 21, (2020) 100650. https://doi.org/ 10.1016/j.csite.2020.100650
  18. Zhang, B., Song, Z., and Mao, W., “A Novel Wake Energy Reuse Method to Optimize The Layout For Savonius-Type Vertical Axis Wind Turbines,” Energy, Vol. 121, No. 7, (2017), 341-355. https://doi.org/ 10.1016/j.energy.2017.01.004
  19. Koo, J., and Kleinstreuer, C., “Viscous Dissipation Effects In Micro Tubes And Micro Channels,” International Journal of Heat and Mass Transfer, Vol. 47, No. 7, (2004), 3159–3169. https://doi.org/ 10.1016/j.ijheatmasstransfer.2004.02.017
  20. Koo, J., “Computational Nanofluid Flow and Heat Transfer Analyses Applied to Microsystems,” (Ph.D. thesis), NC State University, Raleigh, NC, (2004).
  21. Li, J., “Computational Analysis of Nanofluid Flow in Micro Channels With Applications to Micro-Heat Sinks And Bio-MEMS,” (Ph.D. thesis), NC State University, Raleigh, NC, (2008).
  22. Singh, K., Rawat, S. K., and Kumar, M., “Heat and Mass Transfer on Squeezing Unsteady MHD Nanofluid Flow between Parallel Plates with Slip Velocity Effect,” Journal of Nanoscience, (2016). https://doi.org/ 0.1155/2016/9708562
  23. Cheng, A. H. D., Golberg, M. A., Kansa, E. J., and Zammito, G., “Exponential Convergence And H-C Multiquadric Collocation Method For Partial Differential Equations,” Numerical Methods Partial Differential Equations, Vol. 19, No. 1, (2003), 571-594. https://doi.org/ 10.1002/num.10062
  24. Elansari, M., Ouazar, D., and Cheng, A. H. D., “Boundary Solution of Poisson’s Equation Using Radial Basis Function Collocated on Gaussian Quadrature Nodes,” Communications in Numerical Methods in Engineering, Vol. 17, No. 7, (2001), 455-464. https://doi.org/ 10.1002/cnm.419
  25. Haq, S., Hussain, A., and Uddin, M., “On The Numerical Solution of Nonlinear Burgers-Type Equations Using Meshless Method Of Lines,” Applied Mathematics and Computation, Vol. 218, No. 1, (2012), 6280-6290. https://doi.org/ 10.1016/j.amc.2011.11.106
  26. Peiravi, M. M., Alinejad, J., Domairry Ganji, D., and Maddah, S., “Numerical Study of Fins Arrangement and Nanofluids Effects on Three-Dimensional Natural Convection in The Cubical Enclosure,” Transport Phenomena Nano Micro Scales, Vol. 7, No. 2, (2019), 97-112. https://doi.org/ 10.22111/TPNMS.2019.4845
  27. Peiravi, M. M., and Alinejad, J., “Hybrid Conduction, Convection, and Radiation Heat Transfer Simulation in A Channel with Rectangular Cylinder,” Journal of Thermal Analysis and Calorimetry, Vol. 140, No. 6, (2020), 2733-2747. https://doi.org/ 10.1007/s10973-019-09010-0
  28. Peiravi, M. M., Alinejad, J., Domairry Ganji, D., and Maddah, S., “3D Optimization of Baffle Arrangement in A Multi-Phase Nanofluid Natural Convection Based on Numerical Simulation,” International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 30, No. 5, (2019), 2583-2605. https://doi.org/ 10.1108/HFF-01-2019-0012
  29. Alinejad, J., Peiravi, M. M., “Numerical analysis of secondary droplets characteristics due to drop impacting on 3D cylinders considering dynamic contact angle,” Meccanica, Vol. 55, No. 10, (2020), 1975-2002. https://doi.org/ 10.1007/s11012-020-01240-z
  30. Domairry Ganji, D., Peiravi, M. M., and Abbasi, M., “Evaluation of The Heat Transfer Rate Increases in Retention Pools Nuclear Waste,” International Journal of Nano Dimension, Vol. 6, No. 4, (2015), 385-398.
  31. Sheikholeslami, M, Domairry Ganji, D., “Nanofluid Flow and Heat Transfer Between Parallel Plates Considering Brownian Motion Using DTM, ” Computer Methods in Applied Mechanics and Engineering, 283, (2015), 651-663. https://doi.org/10.1140/epjp/s13360-020-00351-6
International Journal of Engineering
Volume 35, Issue 8
TRANSACTIONS B: Applications
August 2022
Pages 1651-1661

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