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  4. Magneto-hydrodynamic boundary layer flow and heat transfer of hybrid carbon nanotube over a moving surface

Magneto-hydrodynamic boundary layer flow and heat transfer of hybrid carbon nanotube over a moving surface

MMC.
2023;
Volume 10, Number 4
: pp. 1187–1195
https://doi.org/10.23939/mmc2023.04.1187
Received: September 26, 2023
Revised: November 14, 2023
Accepted: November 15, 2023

Mathematical Modeling and Computing, Vol. 10, No. 4, pp. 1187–1195 (2023)

Authors:
  1. A. A. Azahari
  2. N. Bachok
1
Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia
2
Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia; Institute for Mathematical Research, Universiti Putra Malaysia

The boundary layer flow and heat transfer of hybrid carbon nanotubes over a moving surface with magneto-hydrodynamic effect are studied numerically in this paper.  Single-wall (SWCNT) and multi-wall (MWCNT) carbon nanotubes are combined with water as the base fluid to form hybrid carbon nanotubes.  The governing partial differential equations were transformed into a set of nonlinear ordinary differential equations using the similarity transformation, which were then numerically solved in the Matlab software using bvp4c.  The influence of the nanoparticle volume fraction, magnetic parameter and velocity ratio parameter, on velocity and temperature profiles, local skin friction and local Nusselt number are discussed and presented in graphical forms.  The results show that dual solutions appear when the free stream and plate move in the opposite direction, and the rate of heat transfer for hybrid carbon nanotubes is higher than viscous fluid and carbon nanotubes.

hybrid carbon nanotube
moving surface
boundary layer
magnetohydrodynamics effect
  1. Kakaç S., Pramuanjaroenkij A.  Review of convective heat transfer enhancement with nanofluids.  International Journal of Heat and Mass Transfer.  52 (13–14), 3187–3196 (2009).
  2. Toghraie D., Chaharsoghi V. A., Afrand M.  Measurement of thermal conductivity of ZnO-TiO$_2$/EG hybrid nanofluid.  Journal of Thermal Analysis and Calorimetry.  125 (1), 527–535 (2016).
  3. Imtiaz M., Hayat T., Alsaedi A., Ahmad B.  Convective flow of carbon nanotubes between rotating stretchable disks with thermal radiation effects.  International Journal of Heat and Mass Transfer.  101, 948–957 (2016).
  4. Hayat T., Hussain Z., Alsaedi A., Ahmad B.  Heterogeneous-homogeneous reactions and melting heat transfer effects in flow with carbon nanotubes.  Journal of Molecular Liquids.  220, 200–207 (2016).
  5. Anuar N. S., Bachok N., Pop I.  A stability analysis of solutions in boundary layer flow and heat transfer of carbon nanotubes over a moving plate with slip effect.  Energies.  11 (12), 3243 (2018).
  6. Norzawary N. H. A., Bachok N., Ali F. M.  Stagnation point flow over a stretching/shrinking sheet in a carbon nanotubes with suction/injection effects.  CFD Letters.  20 (2), 106–114 (2020).
  7. Norzawary N. H. A., Bachok N., Ali F. M., Rahmin N. A. A.  Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube.  Mathematical Modeling and Computing.  9 (4), 816–824 (2022).
  8. Anuar N. S., Bachok N., Pop I.  Hybrid carbon nanotube flow near the stagnation region over a permeable vertical plate with heat generation/absorption.  Mathematics.  9 (22), 2925 (2021).
  9. Aladdin N. A. L., Bachok N.  Duality solutions in hydromagnetic flow of SWCNT-MWCNT/water hybrid nanofluid over vertical moving slender needle.  Mathematics.  9 (22), 2927 (2021).
  10. Aladdin N. A. L., Bachok N., Rosali H., Wahi N., Abd Rahmin N. A.  Numerical computation of hybrid carbon nanotubes flow over a stretching/shrinking vertical cylinder in presence of thermal radiation and hydromagnetic.  Mathematics.  10 (19), 3551 (2022).
  11. Bachok N., Ishak A., Pop I.  Boundary-layer flow of nanofluids over a moving surface in a flowing fluid.  International Journal of Thermal Sciences.  49 (9), 1663–1668 (2010).
  12. Bachok N., Ishak A., Pop I.  Boundary layer flow over a moving surface in a nanofluid with suction or injection.  Acta Mechanica Sinica.  28 (1), 34–40 (2012).
  13. Soid S. K., Ishak A., Pop I.  Boundary layer flow past a continuously moving thin needle in a nanofluid.  Applied Thermal Engineering.  114, 58–64 (2017).
  14. Hussain I. S., Prakash D., Abdalla B., Muthtamilselvan M.  Analysis of Arrhenius activation energy and chemical reaction in nanofluid flow and heat transfer over a thin moving needle.  Current Nanoscience.  19 (1), 39–48 (2023).
  15. Anuar N. S., Bachok N., Arifin N. M., Rosali H.  Role of multiple solutions in flow of nanofluids with carbon nanotubes over a vertical permeable moving plate.  Alexandria Engineering Journal.  59 (2), 763–773 (2020).
  16. Yasir M., Ahmed A., Khan M.  Carbon nanotubes based fluid flow past a moving thin needle examine through dual solutions: Stability analysis.  Journal of Energy Storage.  48, 103913 (2022).
  17. Samat N. A. A., Bachok N., Arifin N. M.  Carbon nanotubes (CNTs) nanofluids flow and heat transfer under MHD effect over a moving surface.  Journal of Advanced Research in Fluid Mechanics and Thermal Sciences.  103 (1), 165–178 (2023).
  18. Abbas N., Malik M., Nadeem S., Alarifi I. M.  On extended version of Yamada–Ota and Xue models of hybrid nanofluid on moving needle.  The European Physical Journal Plus.  135 (2), 145 (2020).
  19. Zainal N. A., Nazar R., Naganthran K., Pop I.  Heat generation/absorption effect on MHD flow of hybrid nanofluid over bidirectional exponential stretching/shrinking sheet.  Chinese Journal of Physics.  69, 118–133 (2021).
  20. Lund L. A., Yashkun U., Shah N. A.  Magnetohydrodynamics streamwise and cross flow of hybrid nanofluid along the viscous dissipation effect: Duality and stability.  Physics of Fluids. 35 (2), 023320 (2023).
  21. Sakiadis B. C.  Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow. AIChE Journal.  7 (1), 26–28 (1961).
  22. Mureithi E., Mwaonanji J., Makinde O. D.  On the boundary layer flow over a moving surface in a fluid with temperature-dependent viscosity.  Open Journal of Fluid Dynamics.  3 (2), 135–140 (2013).
  23. Salleh S. N. A., Bachok N., Arifin N. M., Ali F. M., Pop I.  Magnetohydrodynamics flow past a moving vertical thin needle in a nanofluid with stability analysis.  Energies.  11 (12), 3297 (2018).
  24. Nithya N., Vennila B.  MHD Nanofluid boundary layer flow over a stretching sheet with viscous, ohmic dissipation.  Mathematical Modeling and Computing.  10 (1), 195–203 (2023).
  25. Kalpana G., Madhura K., Kudenatti R. B.  Magnetohydrodynamic boundary layer flow of hybrid nanofluid with the thermophoresis and Brownian motion in an irregular channel: a numerical approach.  Engineering Science and Technology, an International Journal.  32, 101075 (2021).
  26. Khashi'ie N. S., Arifin N. M., Pop I.  Magnetohydrodynamics (MHD) boundary layer flow of hybrid nanofluid over a moving plate with Joule heating.  Alexandria Engineering Journal.  61 (3), 1938–1945 (2022).
  27. Aly E. H., Benlahsen M., Guedda M.  Similarity solutions of a MHD boundary-layer flow past a continuous moving surface.  International Journal of Engineering Science.  45 (2–8), 486–503 (2007).
  28. Bachok N., Ishak A., Pop I.  Flow and heat transfer characteristics on a moving plate in a nanofluid.  International Journal of Heat and Mass Transfer.  55 (4), 642–648 (2012).
  29. Khashi'ie N. S., Arifin N. M., Pop I.  Magnetohydrodynamics (MHD) boundary layer flow of hybrid nanofluid over a moving plate with Joule heating.  Alexandria Engineering Journal.  61 (3), 1938–1945 (2022).
  30. Oztop H. F., Abu–Nada E.  Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids.  International Journal of Heat and Fluid Flow.  29 (5), 1326–1336 (2008).