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Numerical study of flow and heat transfer in a porous medium between two stretchable disks using quasi-linearization method

In this study, the flow as well as heat transfer of a classical Newtonian fluid of constant density and viscosity in a porous medium between two radially stretching disks is explored. The role of the porosity of the medium, the stretching of the disks, the viscous dissipation and radiation on the flow and temperature fields is taken into account. The flow and heat equations are transformed into nonlinear ordinary differential equations by invoking the classical similarity transformations. These nonlinear differential equations were linearized using Quasi linearization method. Further the linearized equations were discretized by employing the finite differences which were then solved numerically using the successive over relaxation parameter method. Some features of the flow and temperature are discussed in detail in the form of tables and graphs. The present study may be beneficial in lubricants and computational storage devices as well as fluid flows and heat transmission in rotor-stator systems.
PAPER REVISED: 2019-03-31
PAPER ACCEPTED: 2019-05-03
  1. Masoud, Z., Faezeh, M., and Mohammad, R. S., Experimental Investigation of the Permeability and Inertial Effect on Fluid Flow Through Homogeneous Porous Media, Iranian Journal of Chemistry and Chemical Engineering, 27 (2008), 2, pp. 33-38
  2. Mónica, S. N. O., Manuel, A. A., Fernando, T. P., and Gareth, H. M., Newtonian Fluid Flow Through Microfabricated Hyperbolic Contractions, Experiments in Fluids, 43 (2007), 2-3, pp. 437-451
  3. Hamza, E. A., A Similar Flow Between two Disks in the Presence of a Magnetic Field, Journal of Applied Fluid Mechanics, 56 (2009), 1, pp. 218-221
  4. Milan, B., Steady Flow of Incompressible Fluid Between two Co-Rotating Disks, Applied Mathematical Modeling, 35 (2011), 10, pp. 5225-5233
  5. Y, L. Y., Yee-Kwong L., and Ash K., Slow Steady Viscous Flow of Newtonian Fluids in Parallel-Disk Viscometer with Wall Slip, Journal of Applied Mechanics, 75 (2008), 4, pp. 041001
  6. Lynn, O. W., et al., Flow Between a Stationary and a Rotating Disk with Suction, Journal of Fluid Mechanics, 85 (2006), 3, pp. 479-496
  7. Zweig, J. E., et al., Two-Fluid Flow Between Rotating Annular Disks, ASME Journal of Lubrication Technology, 98 (2010), 2, pp. 214-222
  8. Qayyum, A., Awais, M., Alsaedi, A., and Hayat, T., Unsteady Squeezing Flow of Jeffery Fluid Between two Parallel Disks, Chinese Physical Society and IOP Publishing Ltd, 29 (2012), 3, pp. 034701. doi:10.1088/0256-307x/29/3/034701
  9. Shalini, J., et al., Radiation Effects in Flow Through Porous Medium over a Rotating Disk with Variable Fluid Properties, Advances in Mathematical Physics, 2016 (2016), pp. 9671513
  10. Wijaya, I., et al., Simulation of Fluid Flow and Heat Transfer in Porous Medium Using Lattice Boltzmann Method, Journal of Physics, 877 (2017), pp. 012056
  11. Hussain, M. F., Numerical Analysis of Nanofluids with Convective Heat Transfer Through Porous Disks, Caspian Journal of Computational and Mathematical Engineering , 2 (2017), pp. 2476- 5252
  12. Nandeppanavar, M. M., et al., Effect of Viscous Dissipation and Thermal Radiation on Heat Transfer over a Non-Linearly Stretching Sheet Through Porous Medium, International Journal of Applied Mechanics and Engineering, 18 (2013), 2, pp. 461-474
  13. Srinivasacharya D., et al., Chemical Reaction and Radiation Effects on Mixed Convection Heat and Mass Transfer over a Vertical Plate in Power-Law Fluid Saturated Porous Medium , Journal of the Egyptian Mathematical Society, 24 (2016), 1, pp. 108-115
  14. Hobiny, A., Ahmad, B., Alsaedi, A., Jalil, M., and Asghar, S., Similarity Solution for Flow over an Unsteady Nonlinearly Stretching Rotating Disk, AIP Advances, 5 (2015), 4, pp. 047113
  15. Sreenivasulu, P., Poornima, T., and Reddy, N. B., Thermal Radiation Effects on MHD Boundary Layer Slip Flow Past a Permeable Exponential Stretching Sheet in the Presence of Joule Heating and Viscous Dissipation, Journal of Applied Fluid Mechanics, 9 (2016), 1, pp. 267-278
  16. Rashidi, M. M., Pour, S. A. M., Hayat, T., and Obaidat, S., Analytic Approximate Solutions for Steady Flow over a Rotating Disk in Porous Medium with Heat Transfer by Homotopy Analysis Method, Computers & Fluids, 54 (2012), pp.1-9
  17. Rabhi., Amami, B., Dhahri H., and Mhimid A., Heat Transfer and Entropy Generation in Porous Microduct with Slip Boundary Condition Using Lattice Boltzmann Method Under Non-equilibrium Conditions, Journal of Porous Media, 20 (2017), 3, pp. 227-247
  18. Xu, H., Zhao, C., and Vafai, K., Analytical Study of Flow and Heat Transfer in an Annular Porous Medium Subject to Asymmetrical Heat Fluxes, Heat and Mass Transfer, 53 (2017), 8, pp. 2663-2676
  19. Turkyilmazoglu, M., Flow and Heat Simultaneously Induced by two Stretchable Rotating Disks, Physics of Fluids, 28 (2016), 4, pp. 10.1063/1.4945651
  20. Eringen, A. C., Theory of Micropolar Continua In. Proceedings of the Ninth Midwestern Conference, 1965
  21. Eringen, A. C., Simple Micro Fluids, International Journal of Engineering Science, 2 (1964), pp. 205-217