Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
Journal of Porous Media
Facteur d'impact: 1.752 Facteur d'impact sur 5 ans: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

Volumes:
Volume 23, 2020 Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.2020025290
pages 837-850

ASPECTS OF HETEROGENOUS AND HOMOGENOUS REACTIONS ON HYDROMAGNETIC OSCILLATORY ROTATING FLOW IN POROUS MEDIUM

Zaheer Abbas
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
Amar Rauf
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan; Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus 57000, Pakistan
Sabir Ali Shehzad
Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan

RÉSUMÉ

Ongoing work addresses the unsteady magnetohydrodynamics (MHD) flow of viscous liquid generated by the rotation of a stretchable disk under time-based sinusoidal oscillations in the occupancy of homogeneous and heterogeneous aspects. The three-dimensional flow problem is normalized by implementing dimensionless variables. The obtained nonlinear system is solved numerically by using a scheme of finite differences and successive over-relaxation (SOR) method, in which semi-infinite domain is confined to fixed domain. The flow characteristics are discussed through dimensionless quantities in pictorial and tabular forms. Results show that the flow amplitude of velocity profiles decays for enhancing values of porosity parameter. The amplifying values of strength of homogeneous and heterogeneous parameters decline periodically for concentration as a function of time.

RÉFÉRENCES

  1. Abbas, Z., Sheikh, M., and Pop, I., Stagnation-Point Flow of a Hydromagnetic Viscous Fluid over Stretching/Shrinking Sheet with Generalized Slip Condition in the Presence of Homogeneous-Heterogeneous Reactions, J. Taiwan Inst. Chem. Eng., vol. 55, pp. 69-75,2015. .

  2. Ali, F., Saqib, M., Khan, I., and Sheikh, N.A., Application of Caputo-Fabrizio Derivatives to MHD Free Convection Flow of Generalized Walter's B Fluid Model, Eur. Phys. J. Plus, vol. 131, Article ID 377, 2016a. .

  3. Ali, N., Khan, S.U., Sajid, M., and Abbas, Z., MHD and Heat Transfer of a Couple Stress Fluid over an Oscillatory Stretching Sheet with Heat Source/Sink in Porous Medium, Alex. Eng. J., vol. 55, no. 2, pp. 915-924, 2016b. .

  4. Ali, N., Khan, S.U., Sajid, M., and Abbas, Z., Slip Effects in the Hydromagnetic Flow of a Viscoelastic Fluid through Porous Medium over a Porous Oscillatory Stretching Sheet, J. Porous Media, vol. 20, no. 3, pp. 249-262, 2017a. .

  5. Ali, F., Sheikh, N.A., Saqib, M., and Khan, I., Unsteady MHD Flow of Second-Grade Fluid over an Oscillating Vertical Plate with Isothermal Temperature in a Porous Medium with Heat and Mass Transfer by Using the Laplace Transform Technique, J. Porous Media, vol. 20, no. 8, pp. 671-690,2017b. .

  6. Ali, F., Sheikh, N.A., Khan, I., and Saqib, M., Magnetic Field Effect on Blood Flow of Casson Fluid in Axisymmetric Cylindrical Tube: A Fractional Model, J. Magn. Magn. Mater., vol. 423, pp. 327-336, 2017c. .

  7. Animasaun, I.L., Raju, C.S.K., and Sandeep, N., Unequal Diffusivities Case of Homogeneous-Heterogeneous Reactions within Viscoelastic Fluid Flow in the Presence of Induced Magnetic-Field and Nonlinear Thermal Radiation, Alex. Eng. J., vol. 55, no. 2, pp. 1595-1606,2016. .

  8. Attia, H.A. and Hassan, A.L.L., Effect of Hall Current on the Unsteady MHD Flow due to a Rotating Disk with Uniform Suction or Injection, Appl. Math. Modell., vol. 25, no. 12, pp. 1089-1098, 2001. .

  9. Attia, H.A., Asymptotic Solution for Rotating Disk Flow in Porous Medium, Mech. Mech. Eng., vol. 14, no. 1, pp. 119-136,2010. .

  10. Attia, H.A., Unsteady MHD Flow near a Rotation Porous Disk with Uniform Suction or Injection, FluidDyn. Res., vol. 23, no. 5, pp. 283-290, 1998. .

  11. Benton, E.R., On the Flow due to a Rotating Disk, J. FluidMech, vol. 24, no. 4, pp. 781-800, 1966. .

  12. Bilal, S., Rehman, K.U., and Malik, M.Y., Numerical Investigation of Thermally Stratified Williamson Fluid Flow over a Cylindrical Surface via Keller Box Method, Results Phys, vol. 7, pp. 690-696, 2017. .

  13. Bonnecaze, R.T., Mano, N., Nam, B., and Heller, A., On the Behavior of the Porous Disk Electrode, J. Electric. Soc., vol. 154, no. 2, pp. 44-47, 2007. .

  14. Chaudhary, M.A. and Merkin, J.H., A Simple Isothermal Model for Homogeneous-Heterogeneous Reactions in Boundary-Layer Flow: I Equal Diffusivities, FluidDyn. Res., vol. 16, no. 6, pp. 311-333, 1995a. .

  15. Chaudhary, M.A. and Merkin, J.H., A Simple Isothermal Model for Homogeneous-Heterogeneous Reactions in Boundary-Layer Flow: II Different Diffusivities for Reactant and Autocatalyst, Fluid Dyn. Res., vol. 16, no. 6, pp. 335-359, 1995b. .

  16. Gireesha, B.J., Kumar, P.B.S., Mahanthesh, B., Shehzad, S.A., and Rauf, A., Nonlinear 3D Flow of Casson-Carreau Fluids with Homogeneous-Heterogeneous Reactions: A Comparative Study, Results Phys., vol. 7, pp. 2762-2770, 2017. .

  17. Hachbusch, W., Iterative Solution of Large Sparse Systems of Equations, Switzerland: Springer International Publishing, 2016. .

  18. Harmand, S., Pelle, J., Poncet, S., and Shevchuk, I.V., Review of Fluid Flow and Convective Heat Transfer within Rotating Disk Cavities with Impinging Jet, Int. J. Therm. Sci., vol. 67, pp. 1-30, 2013. .

  19. Hasnain, J. and Abbas, Z., Hydromagnetic Convection Flow in Two Immiscible Fluids through a Porous Medium in an Inclined Annulus, J. Porous Media, vol. 20, no. 11, pp. 977-987, 2017. .

  20. Hayat, T., Imtiaz, M., and Alsaedi, A., Effects of Homogeneous-Heterogeneous Reactions in Flow of Powell-Eyring Fluid, J. Cent. South Univ., vol. 22, no. 8, pp. 3211-3216, 2015. .

  21. Hayat, T., Imtiaz, M., Alsaedi, A., and Alzahrani, F., Effects of Homogeneous-Heterogeneous Reactions in Flow of Magnetite- Fe3O4 Nanoparticles by a Rotating Disk, J. Mol. Liq., vol. 216, pp. 845-855, 2016. .

  22. Hayat, T., Qayyum, S., Imtiaz, M., and Alsaedi, A., Radiative Flow due to Stretchable Rotating Disk with Variable Thickness, Results Phys., vol. 7, pp. 156-165, 2017a. .

  23. Hayat, T., Muhammad, T., Shehzad, S.A., and Alsaedi, A., On Magnetohydrodynamic Flow of Nanofluid due to a Rotating Disk with Slip Effect: A Numerical Study, Comput. Methods Appl. Mech. Eng., vol. 315, pp. 467-477, 2017b. .

  24. Hayat, T., Rashid, M., Imtiaz, M., and Alsaedi, A., Nanofluid Flow due to Rotating Disk with Variable Thickness and Homogeneous-Heterogeneous Reactions, Int. J. Heat Mass Transf, vol. 113, pp. 96-105, 2017c. .

  25. Hwang, K.J. and Lin, S.J., Filtration Flux-Shear Stress-Cake Mass Relationships in Microalgae Rotating-Disk Dynamic Microfil- tration, Chem. Eng. Sci., vol. 224, pp. 429-437,2014. .

  26. Imran, M.A., Imran, M., and Fetecau, C., MHD Oscillating Flows of Rotating Second Grade Fluids in a Porous Medium, Commun. Numer. Anal., vol. 2014, Article ID 00196, 2014. .

  27. Karman, T.V., Ube Laminare und Turbulente Reibung, Z. Angew. Math. Mech., vol. 1, pp. 233-252, 1921. .

  28. Khan, W.A. and Pop, I., Effects of Homogeneous-Heterogeneous Reactions on the Viscoelastic Fluid toward a Stretching Sheet, J Heat Transf.-Transact. ASME, vol. 134, no. 6, Article ID 064506,2012. .

  29. Khan, W.A. and Pop, I., Flow near the Two-Dimensional Stagnation-Point on an Infinite Permeable Wall with a Homogeneous- Heterogeneous Reaction, Commun. Nonlinear Sci. Numer. Simul., vol. 15, no. 11, pp. 3435-3443, 2010. .

  30. Krishnamurthy, M.R., Prasannakumara, B.C., Gireesha, B.J., and Gorla, R.S.R., Effect of Chemical Reaction on MHD Boundary Layer Flow and Melting Heat Transfer on Williamson Nanofluid in Porous Medium, Eng. Sci. Tech. Int. J., vol. 19, no. 1, pp. 53-61,2016. .

  31. Kuiken, H.K., The Effect of Normal Blowing on the Flow near a Rotating Disk of Infinite Extent, J. Fluid Mech, vol. 47, no. 4, pp. 789-798, 1971. .

  32. Malik, M.Y., Salahuddin, T., Hussain, A., Bilal, S., and Awais, M., Homogeneous-Heterogeneous Reactions in Williamson Fluid Model over a Stretching Cylinder by Using Keller Box Method, AIP Adv., vol. 5, no. 10, Article ID 107227,2015. .

  33. Merkin, J.H., A Model for Isothermal Homogeneous-Heterogeneous Reactions in Boundary-Layer Flow, Math. Comput. Modell., vol. 24, no. 8, pp. 125-136, 1996. .

  34. Milne, W.E., Numerical Solutions of Differential Equations, New York: John Wiley and Sons Inc., 1953. .

  35. Ming, C., Zheng, L., Zhang, X., Liu, F., and Anh, V., Flow and Heat Transfer of Power-Law Fluid over a Rotating Disk with Generalized Diffusion, Int. Commun. Heat Mass Transf, vol. 79, pp. 81-88, 2016. .

  36. Munawar, S., Ali, A., Saleem, N., and Naqeeb, A., Swirling Flow over an Oscillatory Stretchable Disk, J. Mech., vol. 30, no. 4, pp. 339-347, 2014. .

  37. Murhty, S.V.S.S.N.V.G.K., Magoules, F., Kumar, B.V.R., and Kumar, V., Double Diffusive Free Convection along a Vertical Surface in a Double Stratified Porous Medium with Soret and Dufour Effect under MHD Forces, J. Porous Media, vol. 20, no. 10, pp. 865-879, 2017. .

  38. Naveed, M., Abbas, Z., and Sajid, M., Flow and Heat Transfer in Semi Porous Curved Channel with Radiation and Porosity Effects, J. Porous Media, vol. 19, no. 5, pp. 379-389, 2016. .

  39. Pal, D. and Mondal, H., Effect of Variable Viscosity on MHD Non-Darcy Mixed Convective Heat Transfer over a Stretching Sheet Embedded in a Porous Medium with Non-Uniform Heat Source/Sink, Commun. Nonlinear Sci. Numer. Simul., vol. 15, no. 6, pp. 1553-1564,2010. .

  40. Raju, C.S.K., Sandeep, N., and Saleem, S., Effects of Induced Magnetic Field and Homogeneous-Heterogeneous Reactions on Stagnation Flow of a Casson Fluid, Eng. Sci. Technol. Int. J., vol. 19, no. 2, pp. 875-887, 2016. .

  41. Shaw, S., Kameswaran, P.K., and Sibanda, P., Homogeneous-Heterogeneous Reactions in Micropolar Fluid Flow from a Permeable Stretching or Shrinking Sheet in a Porous Medium, Boundary Value Problems, vol. 2013, Article ID 77, 2013. .

  42. Sheikh, M.A., Ali, F., Khan, I., and Saqib, M., A Modern Approach of Caputo-Fabrizio Time-Fractional Derivative to MHD Free Convection Flow of Generalized Second-Grade Fluid in a Porous Medium, Neural Comput. Appl., 2016. DOI: 10.1007/s00521-016-2815-5 .

  43. Sheikh, M. and Abbas, Z., Homogeneous-Heterogeneous Reactions in Stagnation Point Flow of Casson Fluid due to a Stretch-ing/Shrinking Sheet with Uniform Suction and Slip Effects, Ain Shams Eng. J., vol. 8, no. 3, pp. 467-474, 2017. .

  44. Sheikholeslami, M., Hatami, M., and Ganji, D.D., Numerical Investigation of Nanofluid Spraying on an Inclined Rotating Disk for Cooling Process, J. Mol. Liq., vol. 211, pp. 577-583,2015. .

  45. Siddiq, M.K., Rauf, A., Shehzad, S.A., Alsaedi, A., andHayat, T., Interaction of Convective andNield's Conditions inHydromag- netic Flow of Nanofluid Subject to Darcy-Forchheimer Effects, J. Porous Media, vol. 20, no. 11, pp. 989-998,2017. .

  46. Song, X., Schmidt, L.D., and Aris, R., Steady States and Oscillations in Homogeneous-Heterogeneous Reaction Systems, Chem. Eng. Sci., vol. 46, nos. 5-6, pp. 1203-1215, 1991a. .

  47. Song, X., Williams, W.R., Schmidt, L.D., and Aris, R., Bifurcation Behavior in Homogeneous-Heterogeneous Combustion: II. Computations for Stagnation-Point Flow, Combust. Flame, vol. 84, nos. 3-4, pp. 292-311, 1991b. .

  48. Turkyilmazoglu, M., MHD Fluid Flow and Heat Transfer due to a Shrinking Rotating Disk, Comput. Fluids, vol. 90, pp. 51-56, 2014. .

  49. Turkyilmazoglu, M., Three Dimensional MHD Stagnation Flow due to a Stretchable Rotating Disk, Int. J. Heat Mass Transf., vol. 55, nos. 23-24, pp. 6959-6965, 2012. .

  50. Williams, W.R., Stenzel, M.T., Song, X., and Schmidt, L.D., Bifurcation Behavior in Homogeneous-Heterogeneous Combustion: I. Experimental Results over Platinum, Combust. Flame, vol. 84, nos. 3-4, pp. 277-291, 1991. .

  51. Yin, C., Zheng, L., Zhang, C., and Zhang, X., Flow and Heat Transfer of Nanofluids over a Rotating Disk with Uniform Stretching Rate in Radial Direction, Propul. Power Res., vol. 6, no. 1, pp. 25-30, 2017. .


Articles with similar content:

Stokes' Second Problem for a Micropolar Fluid Through State-Space Approach
International Journal of Fluid Mechanics Research, Vol.36, 2009, issue 3
M. Devakar, T. K. V. Iyengar
CHEMICALLY REACTIVE HYDROMAGNETIC FLOW OVER A STRETCHABLE OSCILLATORY ROTATING DISK WITH THERMAL RADIATION AND HEAT SOURCE/SINK: A NUMERICAL STUDY
Heat Transfer Research, Vol.50, 2019, issue 15
Sabir Ali Shehzad, Amar Rauf, Zaheer Abbas
FLOW OF JEFFREY NANOFLUIDS OVER CONVECTIVELY HEATED OSCILLATORY MOVING SHEET WITH MAGNETIC FIELD AND POROSITY EFFECTS
Journal of Porous Media, Vol.23, 2020, issue 9
Sami Ullah Khan, Sabir Ali Shehzad
ON HEAT TRANSFER ANALYSIS OF A MAGNETO-HYDRODYNAMIC SISKO FLUID THROUGH A POROUS MEDIUM
Journal of Porous Media, Vol.13, 2010, issue 3
Javaria Farooq, Masood Khan
INCLINED MAGNETIC FIELD EFFECT ON CASSON NANOFLUID FLOW IN A POROUS MEDIUM WITH JOULE AND VISCOUS DISSIPATIONS
Special Topics & Reviews in Porous Media: An International Journal, Vol.11, 2020, issue 4
Md. Sharifuddin Ansari, Mumukshu H. Trivedi