THERMAL SCIENCE

International Scientific Journal

Zarith Sofiah Othman

,

Zailan Bin Siri

,

Muhamad Hifzhudin Noor Aziz

,

Kohilavani Naganthran

CATTANEO-CHRISTOV HEAT FLUX EFFECT ON SAKIADIS MAGNETOHYDRODYNAMIC BOUNDARY-LAYER TRANSPORT PHENOMENA IN THE JEFFREY FLUID

ABSTRACT
This study aims to perform a numerical simulation of the boundary flow with the characteristic Sakiadis flow of the MHD Jeffrey fluid under the Cattaneo-Christov heat flux model over the horizontal plate. The similarity transformation for the local similarity solution was used to reduce the set of governing equations to non-linear ODE. The equations were solved by using ‘dsolve’ command with the numeric option for the boundary value problem in MAPLE. Simulations have been carried out for different values of the relaxation retardation times, the Deborah number, the magnetic field parameter, the heat flux relaxation time, the Prandtl number, and the Schmidt parameter. A comparative study of the numerical results from the previously published paper with the present result for the dimensionless velocity gradient over the horizontal plate shows excellent agreement. It has been found that the growth of the Deborah number leads to the dimensionless velocity gradient enhancement, while the increment of the relaxation retardation times parameter and the magnetic field parameter indicates the opposite trend. The heat transfer rate noticeably decreased with an increment in the Prandtl number and thermal relaxation time at the fluid regime. Also, fluid concentration decreases with larger values of the Schmidt parameter.
KEYWORDS
Cattaneo-Christov heat flux model, Jeffrey fluid, magnetohydrodynamic (MHD), Sakiadis flow
PAPER SUBMITTED: 2022-10-13
PAPER REVISED: 2023-05-14
PAPER ACCEPTED: 2023-10-13
PUBLISHED ONLINE: 2023-10-08
DOI REFERENCE: https://doi.org/10.2298/TSCI221013214O
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 6, PAGES [4861 - 4875]
REFERENCES
  1. Hayat, T., et al., Thermal and Concentration Stratifications Effects in Radiative Flow of Jeffrey Fluid over a Stretching Sheet, PLoS ONE., 9 (2014), 10, pp. 107858
  2. Hartmann, J., Lazarus, F., Hg-dynamics II: Theory of Laminar Flow of Electrically Conductive Liquids in a Homogeneous Magnetic Field, Danske Videnskabernes Selskab., 15 (1937), 7, pp. 1-45
  3. Alfvén, H., Existence of Electromagnetic-Hydrodynamic Waves, Nature., 150 (1942), 3805, pp. 405-406
  4. Sarpkaya, T., Flow of Non‐Newtonian Fluids in a Magnetic Field, AIChE Journal., 7 (1961), 2, pp. 324-328
  5. Javed, T., et al., Heat Transfer Analysis for a Hydromagnetic Viscous Fluid over a Non-Linear Shrinking Sheet, Int J Heat Mass Transf., 54 (2011), 9-10, pp. 2034-2042
  6. Alamri, S. Z., et al., Effects of Mass Transfer on MHD Second Grade Fluid Towards Stretching Cylinder: A Novel Perspective of Cattaneo-Christov Heat Flux Model, Phys. Lett. A., 383 (2019), 2-3, pp. 276-281
  7. Asmadi, M. S., et al., Convective Mass and Heat Transfer of Sakiadis Flow of Magnetohydrodynamic Casson Fluid over a Horizontal Surface Employing Cattaneo-Christov Heat Flux Model, Malaysian J Math Sci., 15 (2021), 1, pp. 125-136
  8. Zokri, S. M., et al., Influence of Radiation and Viscous Dissipation on Magnetohydrodynamic Jeffrey Fluid over a Stretching Sheet with Convective Boundary Conditions, Mal. J. Fund. Appl. Sci., 13 (2017), 3, pp. 279-284
  9. Mohd, Z. S., et al., On Dissipative MHD Mixed Convection Boundary-Layer Flow of Jeffrey Fluid over an Inclined Stretching Sheet with Nanoparticles: Buongiorno Model, Therm. Sci., 23 (2019), 6 Part B, pp. 3817-3832
  10. Hayat, T., et al., Entropy Generation Optimization of MHD Jeffrey Nanofluid past a Stretchable Sheet with Activation Energy and Non-Linear Thermal Radiation, Phys. A: Stat Mech Appl., 544 (2020), pp. 123437
  11. Ullah, K. S., et al., Thermo Diffusion Aspects in Jeffrey Nanofluid over Periodically Moving Surface with Time Dependent Thermal Conductivity, Therm. Sci., 25 (2021), 1 Part A, pp. 197-207
  12. Vantieghem, S., et al., Applications of a Finite-Volume Algorithm for Incompressible MHD Problems, Geophys J Int., 204 (2016), 2, pp. 1376-1395
  13. Dao, T. A., Nazarov, M., A High-Order Residual-Based Viscosity Finite Element Method for The Ideal MHD Equations, J Sci Comput., 92 (2022), 3, pp. 77
  14. Salmi, A., et al., Numerical Study of Heat And Mass Transfer Enhancement in Prandtl Fluid MHD Flow Using Cattaneo-Christov Heat Flux Theory, Case Stud Therm Eng., 33 (2022), pp. 101949.
  15. Omokhuale, E., Dange, M. S., Heat Absorption Effect on Magnetohydrodynamic (MHD) Flow of Jeffery Fluid In An Infinite Vertical Plate, Fudma J Sci., 7 (2023), 2, pp. 45-51
  16. Hussain, Z., et al., A Mathematical Model for Radiative Peristaltic Flow of Jeffrey Fluid in Curved Channel with Joule Heating and Different Walls: Shooting Technique Analysis, Ain Shams Eng J., 13 (2022), 5, pp. 101685
  17. Ullah, H., et al., Numerical Treatment of Squeezed MHD Jeffrey Fluid Flow with Cattaneo Chrisstov Heat Flux in a Rotating Frame using Levnberg-Marquard Method, Alex Eng J., 66 (2023), pp. 1031-1050
  18. Ibrahim, M. G., Abou-Zeid, M. Y.,Computational Simulation for MHD Peristaltic Transport of Jeffrey Fluid with Density-Dependent Parameters, Sci. Rep., 13 (2023), 1, pp. 9191
  19. Naganthran, K., et al., Effects of Heat Generation/Absorption in the Jeffrey Fluid past a Permeable Stretching/Shrinking Disc, J Braz Soc Mech Sci Eng., 41 (2019), pp. 1-12
  20. Murali, G., Babu, N. V. N., Convective MHD Jeffrey Fluid Flow Due to Vertical Plates with Pulsed Fluid Suction: Numerical study, J Comput Appl Mech., 54 (2023), 1, pp. 36-48
  21. Narasimhan, T. N., Fourier's Heat Conduction Equation: History, Influence, and Connections, Rev Geophys., 37 (1999), 1, pp 151-172
  22. Christov, C. I., On Frame Indifferent Formulation of the Maxwell-Cattaneo Model of Finite-Speed Heat Conduction, Mech Res Commun., 36 (2009), 4, pp. 481-486
  23. Han, S., et al., Coupled Flow and Heat Transfer in Viscoelastic Fluid with Cattaneo-Christov Heat Flux Model, Appl Math Lett., 38 (2014), pp. 87-93
  24. Hayat, T., et al., Impact of Cattaneo-Christov Heat Flux in Jeffrey Fluid Flow with Homogeneous-Heterogeneous Reactions, PLoS ONE., 11 (2016), 2, pp. 0148662
  25. Siri, Z., et al., Heat Transfer over a Steady Stretching Surface in the Presence of Suction, Bound. Value Probl., 126 (2018), pp 1-16
  26. Ibrahim, W., et al., Analysis of Flow of Visco-Elastic Nanofluid with Third Order Slips Flow Condition, Cattaneo-Christov Heat and Mass Diffusion Model, Propuls Power Res., 10 (2021), 2, pp 180-193
  27. Islam, S., et al., Cattaneo-Christov Theory for a Time-Dependent Magnetohydrodynamic Maxwell Fluid Flow Through a Stretching Cylinder, Adv Mech Eng., 13 (2021), 7, pp. 1-11
  28. Tassaddiq, A., Impact of Cattaneo-Christov Heat Flux Model on MHD Hybrid Nano-Micropolar Fluid Flow and Heat Transfer with Viscous and Joule Dissipation Effects, Sci Rep., 11 (2021), 1, pp. 67
  29. Makinde, O. D., et al., Numerical Exploration of Cattaneo-Christov Heat Flux and Mass Transfer in Magnetohydrodynamic Flow over Various Geometries, Defect Diffus Forum., 374 (2017), pp. 67-82
  30. Ramandevi, B., et al., Combined Influence of Viscous Dissipation and Non-Uniform Heat Source/Sink on MHD Non-Newtonian Fluid Flow with Cattaneo-Christov Heat Flux, Alex Eng J., 57 (2018), 2, pp. 1009-1018
  31. Arpaci, V. S., et al., Convection Heat Transfer, Prentice Hall, New Jersey, USA, 1984
  32. Ijaz, M., Ayub, M., Thermally Stratified Flow of Jeffrey Fluid with Homogeneous-Heterogeneous Reactions and Non-Fourier Heat Flux Model, Heliyon, 5 (2019), 8, pp. e02303
  33. Tibullo, V., Zampoli, V., A Uniqueness Result for the Cattaneo-Christov Heat Conduction Model Applied to Incompressible Fluids, Mech Res Commun., 38 (2011), 1, pp. 77-79
  34. Khan, U., et al., On the Cattaneo-Christov Heat Flux Model and OHAM Analysis for Three Different Types of Nanofluids, Appl Sci., 10 (2020), 3, pp. 886-900
  35. White, R. E., Subramanian, V. R., Boundary Value Problems: In Computational Methods in Chemical Engineering with Maple, Springer, Berlin, Heidelberg, 2010
  36. Andersson, H. I., et al., Magnetohydrodynamic Flow of a Power-Law Fluid over a Stretching Sheet, Int J Non Linear Mech., 27 (1992), 6, pp. 929-936
  37. Chen, C. H., Effects of Magnetic Field and Suction/Injection on Convection Heat Transfer of Non-Newtonian Power-Law Fluids past a Power-Law Stretched Sheet with Surface Heat Flux, Int J Therm Sci., 47 (2008), 7, pp 954-961
  38. Babu, D. H., Narayana, P. S., Joule Heating Effects on MHD Mixed Convection of a Jeffrey Fluid over a Stretching Sheet with Power Law Heat Flux: A Numerical Study, J Magn Magn Mater., 412 (2016), pp. 185-193
  39. Hayat, T., et al., Unsteady Flow and Heat Transfer of Jeffrey Fluid over a Stretching Sheet, Therm Sci., 18 (2014), 4, pp. 1069-1078
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Cattaneo-Christov heat flux effect on Sakiadis magnetohydrodynamic boundary-layer transport phenomena in the Jeffrey fluid

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