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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Heat transfer and Electric field Impacts on Ferrofluid Flow Over a Wedge

Discontinuity, Nonlinearity, and Complexity 11(2) (2022) 217--234 | DOI:10.5890/DNC.2022.06.003

V. Loganayagi, Peri K. Kameswaran

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014,\addressNewline India

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Abstract

The interest behind this article is to examine the electrohydrodynamic number, and heat transfer impacts on two dimensional, laminar, incompressible nanofluid boundary layer flow over a wedge. The well-known nanoparticle volume fraction model was applied to approximate the viscosity, thermal diffusivity, heat capacitance, and thermal conductivity of the nanofluid. The nanoparticles itemized here are Nickel, $Ni$, and Nickel Zinc Ferrite $Ni(Zn)O.Fe_2O_3$ with base liquid as water (Liquid $H_2O$). The governing system of equations is reduced in the system of nonlinear differential equations and solved numerically using MATLAB. The impact of the electrohydrodynamic parameter $k_1$, nanoparticle volume fraction $\phi$, electric field functions $g_1$ on the velocity profile, the influence of the Prandtl number $Pr$, joule heating energy parameter $s_2$, and ion kinetic work parameter $s_3$ on temperature profile has examined. Further surface drag forces and the rate of heat transfer are inspected. A comparison is made with the available outcomes in the literature and present outcomes is a satisfactory concurrence with the findings in the literature for particular values. The velocity profile increases with an increase in electrohydrodynamic number, and also increases more in the case of Nickel than Nickel Zinc Ferrite. A decreasing trend in the velocity profile is observed for increasing values of electric field functions in both types of nanofluids. The temperature rises more in Nickel Zinc Ferrite than Nickel for an increase in the ion kinetic parameter. The cumulative effect of nanoparticle volume fraction and electric field function leads to decreases the heat transfer rate.

References

  1. [1]  Gui, N.G.J., Stanley, C., Nguyen, N.T., and Rosengarten, G. (2018), Ferrofluids for heat transfer enhancement under an external magnetic field, Internatioanl Journal of Heat Mass Transfer, 123, 110-121.
  2. [2]  Papadopoulos, P.K., Vafeas, P., and Hatzikonstantinou, P.M. (2012), Ferrofluid pipe flow under the influence of the magnetic field of a cylindrical coil, Physics of Fluids, 24(12), 122002.
  3. [3]  Ellahi, R., Tariq, M.H., Hassan, M., and Vafai, K. (2017), On boundary layer nano-ferroliquid flow under the influence of low oscillating stretchable rotating disk, Journal of Molecular Liquids, 229, 339-345.
  4. [4]  Engelmann, S., Nethe, A., Scholz, Th., and Stahlmann, H.D. (2005), Concept of a new type of electric machines using ferrofluids, Journal of Magnetism and Magnetic Materials, 293(1), 685-689.
  5. [5]  Sheikholeslami, M., Rashidi, M.M., and Ganji, D.D. (2015), Effect of non-uniform magnetic field on forced convection heat transfer of $Fe_3O_4$-water nanofluid, Computer Methods in Applied Mechanics and Engineering, 294(1), 299-312.
  6. [6]  Sheikholeslami, M. (2019), New computational approach for exergy and entropy analysis of nanofluid under the impact of Lorentz force through a porous media, Computer Methods in Applied Mechanics and Engineering, 344(1), 319-333.
  7. [7]  Barzegar Gerdroodbary, M. (2020), Application of neural network on heat transfer enhancement of magnetohydrodynamic nanofluid, \text{Heat Transfer-Asian Research}, 49, 197-212.
  8. [8]  Sheikholeslami, M., Barzegar Gerdroodbary, M., Moradi, M., Shafee, A., and Li, Z. (2019), Application of Neural Network for estimation of heat transfer treatment of $Al_2O_3-H_2O$ nanofluid through a channel, Computer Methods in Applied Mechanics and Engineering, 344(1), 1-2.
  9. [9]  Khan, W.A., Culham, R., and Haq, Rizwan Ul. (2015), Heat transfer analysis of MHD water functionalized carbon nanotube flow over a static/moving wedge, Journal of Nanomaterials, 934367, 13.
  10. [10]  Khan, M. and Sardar, H. (2018), On steady two-dimensional Carreau fluid flow over a wedge in the presence of infinite shear rate viscosity, Results in Physics, 8, 516-523.
  11. [11]  Li, C.H., Li, J.Y., and Hou, Y.L. (2011), An investigation hydrodynamic fluid pressure at wedge-shaped gap between grinding wheel and workpiece, Applied Mechanics and Materials, 44-47, 970-974.
  12. [12]  Raju, C.S.K. and Sandeep, N. (2016) Falkner-Skan flow of a magnetic-Carreau fluid past a wedge in the presence of cross diffusion effects, The European Physical Journal Plus, 131(8), 267.
  13. [13]  Khan, U., Ahmed, N., Bin-Mohsen, B., and Mohyud-Din, S.T. (2017), Nonlinear radiation effects on flow of nanofluid over a porous wedge in the presence of magnetic field, International Journal of Numerical Methods for Heat $\&$ Fluid Flow, 27(1), 48-63.
  14. [14]  Anantha Kumar, K., Ramadevi, B., Sugunamma, V., and Ramana Reddy, J.V. (2019), Heat transfer characteristics on MHD Powell-Eyring fluid flow across a shrinking wedge with non-uniform heat source/sink, Journal of Mechanical Engineering and Sciences, 13(1), 4558-4574.
  15. [15]  Keshtkar, M.M. (2013), Numerical solution for the Falkner-Skan boundary layer viscous flow over a wedge, International Journal of Engineering and Science, 3(10), 18-36.
  16. [16]  Rashad, A.M. (2017), Impact of thermal radiation on MHD slip flow of a ferrofluid over a non-isothermal wedge, Journal of Magnetism and Magnetic Materials, 422(15), 25-31.
  17. [17]  Hassan, M., Faisal, A., and Bhatti, M.M. (2018), Interaction of aluminum oxide nanoparticles with flow of polyvinyl alcohol solutions base nanofluids over a wedge, Applied Nanoscience, 8, 53-60.
  18. [18]  Wu, Y.B., Xu, W.X., Fujimoto, M., and Tachibana, T. (2011), Ceramic balls machining by centerless grinidng using a surface grinder, Advanced Materials Research, 325, 103-109.
  19. [19]  Evans, C.J., Paul, E., Dornfeld, D., Lucca, D.A., Byrne, G., Tricard, M., Klocke, F., Dambon, O., and Mullany B.A. (2003), Material removal mechanisms in lapping and polishing, CIRP Annals, 52(2), 611-633.
  20. [20]  Calvert, V. and Razzaghi, M. (2017), Solutions of the Blasius and MHD Falkner-Skan boundary-layer equations by modified rational Bernoulli functions, International Journal of Numerical Methods for Heat $\&$ Fluid Flow, 27(8), 1687-1705.
  21. [21]  Raj, K., Moskowitz, B., and Casciari, R. (1995), Advances in ferrofluid technology, Journal of Magnetism and Magnetic Materials, 149(1-2), 174-180.
  22. [22]  Sastry, D.R.V.S.R.K. (2015), MHD thermosolutal Marangoni Convection boundary layer nanofluid flow past a flat plate with radiation and chemical reaction, Indian Journal of Science and Technology, 8(13), 1-8.
  23. [23]  Sastry, D.R.V.S.R.K. (2018), Melting and radiation effects on mixed convection boundary layer viscous flow over a vertical plate in presence of homogoeneous higher order chemical reaction, Frontiers in Heat and Mass Transfer, 11(3), 1-7.
  24. [24]  Sastry, D.R.V.S.R.K. (2016), Thermosolutal MHD marangoni convective flow of a nanofluid past a flat plate with viscous dissipation and radiation effects, WSEAS Transactions on Mathematics, 15, 271-279.
  25. [25]  Atalyk, K. and Sonmezler, U. (2009), Symmetry groups and similarity analysis for boundary layer control over a wedge using electric forces, International Journal of Non-Linear Mechanics, 44, 883-890.
  26. [26]  Brinkman, H.C. (1952), The viscosity of concentrated suspensions and solution, The Journal of Chemical Physics, 20(4), 571-581.
  27. [27]  Maxwell Garnett, J.C. (1904), Colours in metal glasses and in metallic films, Philosophical Transactions the Royal Society A, 203, 385-420.
  28. [28]  Guerin, C.A., Mallet, P., and Sentenac, A. (2006), Effective-medium theory for finite-size aggregates, Journal of the Optical Society of America A, 23(2), 349-358.
  29. [29]  Mendes, R.V. and Dente, J.A. (1998), Boundary layer control by electric fields, Journal of Fluid Engineering, 120(3), 626-629.