THERMAL SCIENCE

International Scientific Journal

OLDROYD-B NANOFLUID-FLOW BETWEEN STRETCHING DISKS WITH THERMAL SLIP AND MULTIPLE FLOW FEATURES

ABSTRACT
This novel investigation deals with the thermal slip in magnetized axi-symmetric flow of Oldroyd-B liquid configured by infinite stretchable disks. With appliance of fundamental laws, the flow model equations are constructed. The governing flow equations are altered into no-dimensional form by using similarity quantities. The solution procedure is followed by using famous homotopy analysis technique. The convergence analysis is performed to evaluate the solution accuracy. The signifi­cance of flow parameters in the pattern of velocity, temperature and concentration are graphically illustrated. The novel numerical simulations for wall shear stress, Nusselt number, and Sherwood number are also performed at both surfaces of disks. It is noted the effects of relaxation time and retardation constants on radial and normal velocity components is opposite. The thermal slip parameters enhance the nanoparticles temperature. The concentration profile is decreases with Brown­ian motion parameter.
KEYWORDS
PAPER SUBMITTED: 2020-03-05
PAPER REVISED: 2020-05-30
PAPER ACCEPTED: 2020-06-12
PUBLISHED ONLINE: 2020-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI20S1083K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Supplement 1, PAGES [S83 - S94]
REFERENCES
  1. Karman, V., Uber, T., Laminar und Turbulente Reibung (in German), Zeitschrift f¨ur Angewandte Mathematic and Mechanik (ZAMM), 1 (1921), 4, pp. 233-255
  2. Hayat, T., et al., The MHD Axisymmetric Flow of Third Grade Fluid between Porous Disks with Heat Transfer (ed. English), Applied Mathematicsand Mechanics, 33 (2012), 6, pp. 749-764
  3. Turkyilmazoglu, M., The 3-D MHD Stagnation Flow Due to a Stretchable Rotating Disk, International Journal of Heat and Mass Transfer, 55 (2012), 23-24, pp. 6959-6965
  4. Turkyilmazoglu, M., The MHD Fluid-Flow and Heat Transfer Due to a Shrinking Rotating Disk, Computers and Fluids, 90 (2014), Feb., pp. 51-56
  5. Soid, S. K., et al., The MHD Flow and Heat Transfer over a Radially Stretching/Shrinking Disk, Chinese Journal of Physics, 56 (2018), 1, pp. 58-66
  6. Yin, C., et al., Flow and Heat Transfer of Nanofluids over a Rotating Disk with Uniform Stretching Rate in the Radial Direction, Propulsion and Power Research, 6 (2017), 1, pp. 25-30
  7. Turkyilmazoglu, M., Fluid-Flow and Heat Transfer over a Rotating and Vertically Moving Disk, Physics of Fluids, 30 (2018), 6, 063605
  8. Hashmi, M. S., et al., A Mathematical Model for Mixed Convective Flow of Chemically Reactive Oldroyd-B Fluid between Isothermal Stretching Disks, Results in Physics, 7 (2017), Aug., pp. 3016-3023
  9. Rashidi, M. M., et al., Simultaneous Effects of Partial Slip and Thermal-Diffusion and Diffusion-Thermo on Steady MHD Convective Flow Due to a Rotating Disk, Communications in Non-linear Science and Numerical Simulation, 16 (2011), 11, pp. 4303-4317
  10. Khan, N., et al., Flow of a Hydromagnetic Viscous Fluid between Parallel Disks with Slip, Journal of Mechanics, 31 (2015), 6, pp. 713-726
  11. Khan, N., et al., Heat Transfer Analysis for Magnetohydrodynamics Axi-Symmetric Flow between Stretching Disks in the Presence of Viscous Dissipation and Joule Heating, AIP Advances, 5 (2015), 057115
  12. Zheng, L., et al., Exact Solutions for MHD Flow of Generalized Oldroyd-B Fluid Due to an Infinite Accelerating Plate, Mathematical and Computer Modelling, 54 (2011), 1-2, pp. 780-788
  13. Hayat, T., et al., Stretched Flow of Oldroyd-B Fluid with Cattaneo-Christov Heat Flux, Results in Physics, 7 (2017), July, pp. 2470-2476
  14. Zheng, L., et al., Slip Effects on MHD Flow of a Generalized Oldroyd-B Fluid with Fractional Derivative, Non-Linear Analysis: Real World Applications, 13 (2012), 2, pp. 513-523
  15. Chiu, S., et al., A 3-D DLM/FD Method for Simulating the Motion of Spheres in a Bounded Shear Flow of Oldroyd-B Fluids, Computers and Fluids, 172 (2018), Aug., pp. 661-673
  16. Farooq, A., et al., Soret and Dufour Effects on 3-D Oldroyd-B Fluid, Physica A: Statistical Mechanics and its Applications, 503 (2018), Aug., pp. 345-354
  17. Ali, F., et al., Application of Caputo-Fabrizio Derivatives to MHD Free Convection Flow of Generalized Walters-B Fluid Model, The European Physical Journal Plus, 131 (2016), 377
  18. Ali, F., et al., Magnetic Field Effect on Blood Flow of Casson Fluid in Axisymmetric Cylindrical Tube: A Fractional Model, Journal of Magnetism and Magnetic Materials, 423 (2017), Feb., pp. 327-336
  19. Samiulhaq, A. S., et al., Unsteady Magneto Hydrodynamic Free Convection Flow of a Second Grade Fluid in a Porous Medium with Ramped Wall Temperature, PLoS One, 9 (2014), e88766
  20. Raza, J., et al., Magnetohydrodynamic Flow of Nano Williamson Fluid Generated by Stretching Plate with Multiple Slips, Multidiscipline Modelling in Materials and Structures, 15 (2019), 5, pp. 871-894
  21. Raza, J., et al., Multiple Slip Effects on MHD Non-Newtonian Nanofluid-Flow over a Non-Linear Permeable Elongated Sheet: Numerical and Statistical Analysis, Multidiscipline Modelling in Materials and Structures, 15 (2019), 5, pp. 913-931
  22. Mahanthesh, B., et al., Significance of Exponential Space- and Thermal-Dependent Heat Source Effects on Nanofluid-Flow Due to Radially Elongated Disk with Coriolis and Lorentz Forces, Journal Therm. Anal Calorim, 141 (2020), Nov., pp. 37-44
  23. Mebarek‐Oudina F., Convective Heat Transfer of Titania Nanofluids of Different Base Fluids in Cylindrical Annulus with Discrete Heat Source, Heat transfer Asian Research, 48 (2019), 1, pp. 135-147
  24. Alkasassbeh, M., et al., Heat Transfer Study of Convective Fin with Temperature‐Dependent Internal Heat Generation by Hybrid Block Method, Heat transfer Asian Research, 48 (2019), 4, pp. 1225-1244
  25. Liao, S. J., Advance in the Homotopy Analysis Method, 5 Toh Tuck Link, World Scientific Publishing Singapore, Singapore, 2014
  26. Khan, S. U., et al., Soret and Dufour Effects on Hydromagnetic-Flow of Eyring Powell Fluid over an Oscillatory Stretching Surface with Heat Generation/Absorption and Chemical Reaction, Thermal Science, 22 (2018), 1B, pp. 533-543
  27. Hussain,T., et al., Impact of Magnetic Field in Radiative Flowof Casson Nanofluid with Heat and Mass Fluxes, Thermal Science, 22 (2018), 1A, pp. 137-145
  28. Khan, S. U., et al., Heat Transfer Analysis Based on Cattaneo-Christov Model and Convective Boundary Conditions for Flow over an Oscillatory Stretching Surface: A Mathematical Model, Thermal Science, 23 (2019), 2A, pp. 443-455
  29. Turkyilmazoglu, M., Solution of the Thomas-Fermi Equation with a Convergent Approach, Communications in Non-Linear Science and Numerical Simulation, 17 (2012), 11, pp. 4097-4103
  30. Turkyilmazoglu, M., Parametrized Adomian Decomposition Method with Optimum Convergence, ACM Transactions on Modelling and Computer Simulation, 27 (2017), Oct., pp. 1-22
  31. Inc, M., et al., Modified Variational Iteration Method for Straight Fins with Temperature Dependent Thermal Conductivity, Thermal Science, 22 (2018), Suppl. 1, pp. S229-S236
  32. Kilicman, A., et al., Analytic Approximate Solutions for Fluid-Flow in the Presence of Heat and Mass, Thermal Science, 22 (2018), Suppl. 1, pp. S259-S264
  33. Inc, M., Application of Homotopy Analysis Method for Fin Efficiency of Convective Straight Fins with Temperature-Dependent Thermal Conductivity, Math. Computer Sim., 79 (2008), 2, pp. 189-200
  34. Hashemi, M. S., et al., On Fractional kdv-Burgers and Potential kdv Equations: Existence and Uniqueness Results, Thermal Science, 23 (2019), Suppl. 1, pp. S2107 - S2117

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence