[ Log In | Register]
! Skip Navigation Links
Skip Navigation Links
Image of Journal of Applied Nonlinear Dynamics
ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Time-Dependent Thermal Convective Circulation of Hybrid Nanoliquid Past an Oscillating Porous Plate with Heat Generation and Thermal Radiation

Journal of Applied Nonlinear Dynamics 12(1) (2023) 171--189 | DOI:10.5890/JAND.2023.03.012

M. P. Mallesh$^1$, O.D. Makinde$^{2}$, V. Rajesh$^{3}$, M. Kavitha$^{4}$

$^{1}$ Department of Mathematics, Koneru Lakshmaiah Education Foundation, Hyderabad Campus, Aziz Nagar Village, Moinabad (M), R R Dist, Telangana, India

$^{2}$ Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa

$^{3}$ Department of Mathematics, GITAM (Deemed to be University), Hyderabad Campus, Rudraram Village, Patancheru (M), Medak, Telangana, India

$^{4}$ Department of Mathematics, Global Institute of Engineering and Technology, Chilkur Village, Moinabad(M), R R Dist, Telangana, India

Download Full Text PDF

 

Abstract

The present study explores the impact of heat generation and thermal radiation on the time-dependent free convective flow of a hybrid nanofluid past a vertically oscillating porous plate.The nonlinear partial differential equations, which control the transport phenomena, are transmuted into dimensionless form with appropriate parameters. The resulting equations with appropriate boundary conditions are solved numerically with the aid of the Galerkin finite element method. The impact of sundry parameters such as Thermal Grashof number \textit{(Gr)}, Radiation Parameter $(N)$, Heat generation Parameter $(Q)$, Time ($t$), Nanoparticle Volume fraction of $Al_{2}O_{3}$ ($\delta _{2} $), Suction Parameter ($\lambda $), Nusselt number ($Nu$), Skin friction coefficient ($C_{f} $) that controls the flow velocity and temperature distributions are evaluated extensively with the aid of graphs and tables. Moreover, a comparison between the regular Silicon dioxide water $(SiO_{2} -H_{2} O)$ nanoliquid and Silicon dioxide/Aluminum oxide water $(SiO_{2} -Al_{2} O_{3} -H_{2} O)$ hybrid nanoliquid is provided in skin friction and heat transfer enhancement. The present numerical solution is in good agreement with the analytical solution for the special cases of the problem. The current investigation is of immense apropos in the cooling of nuclear reactors, microelectronics, electromechanical systems, and drug delivery in chemotherapy.

Acknowledgments

Authors are grateful to the Editor and Reviewers for their considerable and valuable suggestions.

References

  1. [1]  Cheng, P. and Minkowycz, W.J. (1977), Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, Journal of Geophysical Research, 82, 2040-2044.
  2. [2]  Raptis, A.A. (1982), Free convection and mass transfer effects on the oscillatory flow past an infinite moving vertical isothermal plate with constant suction and heat sources, Astrophysics and space science, 86, 43-53.
  3. [3]  Nakayama., Hossain, M.A. (1995), An integral treatment for combined heat and mass transfer by natural convection in a porous medium, International Journal of Heat and Mass Transfer, 38, 761-765.
  4. [4]  Bakier, Y., Mansour, M.A., Gorla, R.S.R., and Ebiana, A.B. (1997), Non similar solutions for free convection from a vertical plate in porous media, Heat and Mass Transfer, 33, 145--148.
  5. [5]  Chamkha, A.J., Takhar, H.S., Soundalgekar, V.M. (2001), Radiation effects on free convection flow past a semi-infinite vertical platwith mass transfer, Chemical Engineering Journal, 84, 335-342.
  6. [6]  Kim, Y.J. (2001), Unsteady MHD convection flow of polar fluids past a vertical moving porous plate in a porous medium, International Journal of Heat and Mass Transfer, 44, 2791-2799.
  7. [7]  Rajesh, V., Chamkha, A.J., and Mallesh, M.P. (2016), Transient MHD Free Convection Flow and Heat Transfer of Nanofluid past anImpulsively Started Semi-Infinite Vertical Plate, Journal of Applied Fluid Mechanics, 9, 2457-2467.
  8. [8]  Sarma, D. and Pandit, K.K., (2018), Effects of Hall current, rotation and Soret effects on MHD free convection heat and mass transfer flowpast an accelerated vertical plate through a porous medium, Ain Shams Engineering Journal, 9, 631-646.
  9. [9]  Dhanalakshmi, M., Jyothi, V., and Jayarami Reddy, K. (2019), Soret and Dufour Effects on MHD Convective Flow Past a Vertical Plate Through Porous Medium, Journal of Physics, 1344, 012008 1-11.
  10. [10]  Vidyanadha Babu, D., (2019), Unsteady MHD Free Convection Flow In A Casson Nano Fluid Through Porous Medium With Suctionand Heat Source, International Journal of Engineering, Science and Mathematics, 8, 62-75.
  11. [11]  Tayebi, T. and Chamkha, A.J. (2019), Entropy generation analysis due to MHD natural convection flow in a cavity occupied with hybrid nanofluid and equipped with a conducting hollow cylinder, Journal of Thermal Analysis and Calorimetry, 139, 2165-2179.
  12. [12]  Chiranjeevi, B., Valsamy, P., and Vidyasagar, G. (2020), Radiation absorption on MHD free convective laminar flow over a moving vertical porous plate, viscous dissipation and chemical reaction with suction under the influence of transverses magnetic field, Materials Today: Proceedings, 42, 1559-1569.
  13. [13]  Mallesh, M.P., Rajesh, V., Kavitha, M., and Chamkha, A.J. (2020), Study of time dependent free convective kerosene nanofluid flow with viscous dissipation past a porous plate, AIP proceedings, 2246, 020009.
  14. [14]  Soundalgekar, V.M., (1979), Free convection effects on the flow past a vertical oscillating plate, Astrophysics and Space Science, 64, 165-172
  15. [15]  Zhang, X.R., Maruyama, S., and Sakai, S. (2004), Numerical investigation of laminar natural convection on a heated vertical plate subjected to a periodic oscillation, International Journal of Heat and Mass Transfer, 47, 4439-4448.
  16. [16]  Rajesh, V., Mallesh, M.P., Sridevi, Ch., (2015), Transient MHD nanofluid flow and heat transfer due to a moving vertical plate with thermal radiation and temperature oscillation effects, Procedia Engineering, 127, 901-908.
  17. [17]  Gandluru, S., Prasada Rao, D.R.V., and Makinde, O.D. (2018), Hydromagnetic-oscillatory flow of a nanofluid with Hall effect and thermal radiation past vertical plate in a rotating porous medium, Multidiscipline Modeling in Materials and Structures, 14, 360-386.
  18. [18]  VeeraKrishna, M., Subba Reddy, G., and Chamkha, A.J. (2018), Hall effects on unsteady MHD oscillatory free convective flow of second grade fluid through porous medium between two vertical plates, Physics of Fluids, 30, 023106-1-023106-9.
  19. [19]  Rajesh, V., Mallesh, M.P., and Anwar B{e}g, O. (2015), Transient MHD free convection flow and heat transfer of nanofluid past an impulsively started vertical porous plate in the presence of viscous dissipation, Procedia Materials Science, 10, 80-89.
  20. [20]  Das, S., Jana R.N., and Makinde, O.D. (2016), Magnetohydrodynamic Free Convective Flow of Nanofuids Past an Oscillating Porous Flat Plate in A Rotating System with Thermal Radiation and Hall Effects, Journal of Mechanics, 32, 197-210.
  21. [21]  Sarkar, A. and Kundu, P.K. (2020), Passive control nanoparticles in double‐diffusive free convection nanofluid flow over an inclined permeable plate, Heat Transfer-Asian Research, 49(1), 289-306.
  22. [22]  Reddy, B.P. and Muthucumaraswamy, R. (2019), Effects of thermal radiation on MHD chemically reactive flow past an oscillating vertical porous plate with variable surface conditions and viscous dissipation, i-manager's Journal on Future Engineering and Technolog, 15, 8-18.
  23. [23]  Arundhati, V., Chandra Sekhar, K.V., Prasada Rao, D.R.V., and Sreedevi, G. (2018), Non-darcy convective heat and mass transfer flow through a porous medium in vertical channel with soret, dufour and chemical reaction effects, Journal of Heat and Mass Transfer, 15, 213-240.
  24. [24]  Vijaya, K. and Reddy, G.V.R. (2019), Magnetohydrodynamic casson fluid flow over a vertical porous plate in the presence of radiation, soret and chemical reaction effects, Journal of Nanofluids, 8, 1240-1248.
  25. [25]  Kumar, D.R., Reddy, K.J., and Raju, M.C. (2019), Unsteady MHD thermal diffusive and radiative fluid flow past a vertical porous plate with chemical reaction in slip flow regime, International Journal of Applied Mechanics and Engineering, 24, 117-129.
  26. [26]  Balla, C.S. and Naikoti, K. (2019), Numerical Solution of MHD Bioconvection in a Porous Square Cavity due to Oxytactic Microorganisms, Applications and Applied Mathematics, 4, 69-81.
  27. [27]  Balla, C.S., Ramesh, A., Kishan, N., Rashad, A.M., Abdelrahman, Z.M.A. (2019), Bioconvection in oxytactic microorganism-saturated porous square enclosure with thermal radiation impact, Journal of Thermal Analysis and Calorimetry, 140, 2387-2395.
  28. [28]  Jha, B.K. and Ajibade, A.O. (2009), Free convective flow of heat generating/absorbing fluid between vertical porous plates with periodic heat input, International Communications in Heat Mass Transfer, 36, 624-631.
  29. [29]  Alsaedi, A., Awais, M., and Hayat, T. (2012), Effects of heat generation/absorption on stagnation point flow of nanofluid over a surface with convective boundary conditions, Communications in Nonlinear Science and Numerical simulation, 17, 4210-4223.
  30. [30]  Soomro, F.A., UlHaq, R., Al-Mdallal, Q.M., and Zhang, Q. (2018), Three dimensional Darcy-Forchheimer radiated flow of single and multiwall carbon nanotubes over a rotating stretchable disk with convective heat generation and absorption, Results in Physics, 8, 404-414.
  31. [31]  Nasir, S., Shah, Z., Islam, S., Khan, W., Bonyah, E., Ayaz, M., and Khan, A. (2019), Three dimensional Darcy-Forchheimer radiated flow of single and multiwall carbon nanotubes over a rotating stretchable disk with convective heat generation and absorption, AIP Advances, 9, 035031-1-16.
  32. [32]  Ameen, I., Shah, Z., Islam, S., Nasir, S., Khan, W., Kumam, P., and Thounthong, P. (2019), Hall and ion-slip effect on CNT's nanofluid over a porous extending surface through heat generation and absorption, Entropy, 21(801), 1-21.
  33. [33]  Khan, N.A., Sultan, F., Alshomrani, A.S. (2020), Binary chemical reaction with activation energy in radiative rotating disk flow of Bing hamplastic fluid, Heat Transfer, 49(3), 1314-1337.
  34. [34]  Vijaya, N., Hari Krishna, Y., Kalyani, K., and Reddy, G.V.R. (2018), Soret and radiation effects on an unsteady flow of a casson fluid through porous vertical channel with expansion and contraction, Frontiers in Heat and Mass Transfer, 1, 1-11.
  35. [35]  Dharmaiah, G., Vedavathi, N., Baby Rani, C.H., and Balamurugan, K.S. (2018), MHD boundary layer flow and heat transfer of a nanofluid past a radiative and impulsive vertical plate, Frontiers in Heat and Mass Transfer, 11, 1-7.
  36. [36]  Kavitha, M., Rajesh, V., Mallesh, M.P., and Chamka, A.J. (2020), Unsteady CNTs kerosene nanofluid flow past a vertical plate with heat transfer under the influence of thermal radiation, AIP Proceedings, 2246(1), 020045.
  37. [37]  Turcu, R., Darabont, A., Nan, A., Aldea, N., Macovei, D., Bica, D., Vekas, L., Pana, O., Soran, M.L., Koos, A.A., and Biro, L.P. (2006), New poly pyrrole multiwall carbon nanotubes hybridmaterials, Journal of Optoelectronics and Advanced Materials, 8, 643-647.
  38. [38]  Jana, S., Salehi-Khojin, A., and Zhong, W.H. (2007), Enhancement of fluid thermal conductivity by the addition of single and hybrid nano-additives, Thermochimica Acta, 462, 45-55.
  39. [39]  Jha, N. and Ramaprabhu, S. (2009), Thermal conductivity studies of metal dispersed multiwalled carbon nanotubes in water and ethylene glycol based nanofluids, Journal of Applied Physics, 106, 084317.
  40. [40]  Suresh, S., Venkitaraj, K.P., Selvakumar, P., and Chandrasekar, M. (2011), Synthesis of $Al_{2} O_{3} $ using two step method and its thermo physical properties, Colloids and Surfaces A, 388, 41-48.
  41. [41]  Devi, S.S.U. and Devi, S.A. (2016), Numerical investigation of three-dimensional hybrid Cu--Al${}_{2}$O${}_{3}$/water nanofluid flow over a stretching sheet with effecting Lorentz force subject to Newtonian heating, Journal of Physics, 94, 490-496.
  42. [42]  Mashayekhi, R., Khodabandeh, E., Bahiraei, M., Bahrami, L., Toghraie, D., and Akbari, O.A., (2017), Application of a novel conical strip insert to improve the efficacy of water--Ag nanofluid for utilization in thermal systems: a two-phase simulation, Energy Conversion and Management, 151, 573-586.
  43. [43]  Hayat, T. and Nadeem, S. (2018), An improvement in heat transfer for rotating flow of hybrid nanofluid: a numerical study, Cannadian Journal of Physics, 96 ,1420--1430.
  44. [44]  Shahsavar, A., Sardari, P.T., and Toghraie, D. (2019), Free convection heat transfer and entropy generation analysis of Water-Fe${}_{3}$O${}_{4}$/CNT hybrid nanofluid in a concentric annulus, International Journal of Numerical Methods for Heat and Fluid Flow, 29, 915-934.
  45. [45]  Indumathi, N., Ganga, B., Jayaprakash, R., and Abdul Hakeem, A.K. (2019), Heat Transfer of Hybrid-nanofluids Flow Past a Permeable Flat Surface with Different Volume Fractions, Journal of Applied and Computational Mechanics, 8(2), 21-35.
  46. [46]  Manjunatha, S., Kuttan, B.A., Jayanthi, S., Chamkha, A., and Gireesha, B.J. (2019), Heat transfer enhancement in the boundary layer flow of hybrid nanofluids due to variable viscosity and natural convection, Helion, 5, e01469.
  47. [47]  Olatundun, A.T. and Makinde, O.D. (2017), Analysis of Blasius flow of hybrid nanofluids over a convectively heated surface, Defect and Diffusion Forum, 377, 29-41.
  48. [48]  Das, S.R., Jana, N., and Makinde, O.D. (2017), MHD flow of Cu-Al${}_{2}$O${}_{3}$/Water hybrid nanofluid in porous channel:Analysis of entropy generation, Defect and Diffusion Forum, 377, 42-61.
  49. [49]  Schlichting, H. and Gersten, K. (2001), Boundary Layer Theory, Eighth Edition, Springer-Verlag, New York, USA.
  50. [50]  Tiwari, R.K. and Das, M.K. (2007), Heat transfer augmentation in a two-sided lid-driven differentially- heated square cavity utilizing nanofluids, International Journal of Heat and Mass Transfer, 50, 2002-2018.
  51. [51]  Rajesh, V. and Chamkha, A.J. (2014), Unsteady convective flow past an exponentially accelerated infinite vertical porous plate with Newtonian heating and viscous dissipation, International Journal of Numerical Methods for Heat and Fluid Flow, 24, 1109-112.
  52. [52]  Reddy, J.N. (1985), An Introduction to the Finite Element Method, Third Edition., Mc Graw-Hill, New York.
  53. [53]  Bathe, K.J. (1996), Finite Element Procedures, Second, Prentice-Hall, Upper Saddle River, N.J.
  54. [54]  Carnahan, B., Luther, H.A., and Wilkes, J.O. (1969), Applied Numerical Methods, Edition, John Wiley and Sons, New York.

Copyright © 2011-2023 L & H Scientific Publishing. All rights reserved. Wildcard SSL Certificates