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CHEMICALLY REACTIVE HYDROMAGNETIC FLOW OVER A STRETCHABLE OSCILLATORY ROTATING DISK WITH THERMAL RADIATION AND HEAT SOURCE/SINK: A NUMERICAL STUDY
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100,
Pakistan; Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus 57000,
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
Sabir Ali Shehzad
Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan
A numerical exploration of unsteady oscillatory three-dimensional magnetohydrodynamic (MHD) flow of a viscous liquid over rotating oscillatory disk is presented. The disk stretches in the radial direction with time-based sinusoidal oscillations. Adaptation of thermal radiation with the heat source/sink is made in the energy equation while the mass equation incorporates the impacts of a chemical reaction parameter. The normalized system of partial differential equations is obtained by implementing similarity transformations. Such system of equations is solved then by the finite difference scheme and successive overrelaxation (SOR) method. The analysis is presented to study the effects of dimensionless parameters appearing in the governing equations. The results are presented in the forms of graphs and tables. It is scrutinized that the increase in the magnetic parameter falls off the flow amplitude. The fluid temperature increased with the passage of time for enhancement in radiation parameter. The increase in the Sherwood number is observed for enhanced unsteady parameter and Schmidt number.
Abbas, Z., Gull, F.T., and Sajid, M., Influence of Chemically Reacting Species in MHD Stagnation Point Flow of an Oldroyd-B Fluid with Partial Slip, J. Braz. Soc. Mech. Sci. Eng., vol. 39, no. 6, pp. 2159-2169, 2017.
Abbas, Z., Naveed, M., and Sajid, M., Hydromagnetic Slip Flow of Nanofluid over a Curved Stretching Surface with Heat Generation and Thermal Radiation, J. Mol. Liq., vol. 215, pp. 756-762, 2016a.
Abbas, Z., Sheikh, M., and Motsa, S.S., Numerical Solution of Binary Chemical Reaction on Stagnation Point Flow of Casson Fluid over a Stretching/Shrinking Sheet with Thermal Radiation, Energy, vol. 95, pp. 12-20, 2016b.
Ali, N., Khan, S.U., Sajid, M., and Abbas, Z., MHD Flow and Heat Transfer of Couple Stress Fluid over an Oscillatory Stretching Sheet with Heat Source/Sink in Porous Medium, Alexandria Eng. J., vol. 55, pp. 915-924, 2016.
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. Meth. Appl. Mech. Eng., vol. 315, pp. 467-477, 2017a.
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, 2017b.
Hayat, T., Waqas, M., Shehzad, S.A., and Alsaedi, A. Chemically Reactive Flow of Third Grade Fluid by an Exponentially Convected Stretching Sheet, J. Mol. Liq, vol. 223, pp. 853-860, 2016.
Hussain, S.M., Jain, J., Seth, G.S., and Rashidi, M.M., Free Convective Heat Transfer with Hall Effects, Heat Absorption and Chemical Reaction over an Accelerated Moving Plate in a Rotating System, J. Magnet. Magnet. Mater., vol. 422, pp. 112-123, 2017.
Imtiaz, M., Hayat, T., Alsaedi, A., and Asghar, S., Slip Flow by a Variable Thickness Rotating Disk Subject to Magnetohydrodynamics, Results Phys., vol. 7, pp. 503-509, 2017.
Kumar, R., Sood, S., Sheikholeslami, M., and Shehzad, S.A., Nonlinear Thermal Radiation and Cubic Autocatalysis Chemical Reaction Effects on the Flow of Stretched Nanofluid under Rotational Oscillations, J. Colloid Interface Sci., vol. 505, pp. 253-265, 2017.
Mahanthesh, B., Gireesha, B.J., and Athira, P.R., Radiated Flow of Chemically Reacting Nanoliquid with an Induced Magnetic Field across a Permeable Vertical Plate, Results Phys., vol. 7, pp. 2375-2383, 2017.
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.
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.
Raju, C.S.K. and Sandeep, N., MHD Slip Flow of a Dissipative Casson Fluid over a Moving Geometry with Heat Source/Sink: A Numerical Study, Acta Astronaut., vol. 133, pp. 436-443, 2017.
Raju, C.S.K., Sandeep, N., and Malvandi, A. Free Convective of Heat and Mass Transfer of MHD Non-Newtonian Nanofluids over a Cone in the Presence of Non-Uniform Heat Source/Sink, J. Mol. Liq., vol. 221, pp. 108-115, 2016.
Ramesh, G.K., Prasannakumara, B.C., Gireesha, B.J., Shehzad, S.A., and Abbasi, F.M., Three Dimensional Flow of Maxwell Fluid with Suspended Nanoparticles past a Bidirectional Porous Stretching Surface with Thermal Radiation, Therm. Sci. Eng. Prog., vol. 1, pp. 6-14, 2017.
Rashidi, M.M., Abelman, S., and Mehr, N.F., Entropy Generation in Steady MHD Flow due to a Rotating Porous Disk in a Nanofluid, Int. J. Heat Mass Transf., vol. 62, pp. 515-525, 2013.
Rashidi, M.M., Hayat, T., Erfani, E., Pour, S.A.M., and Hendi, A.A., Simultaneous Effects of Partial Slip and Thermal-Diffusion and Diffusion-Thermo on Steady MHD Convective Flow due to a Rotating Disk, Commun. Nonlinear Sci. Numer. Simulat, vol. 16, no. 11, pp. 4303-4317, 2011.
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, Comput. Fluids, vol. 54, pp. 1-9, 2012.
Rauf, A., Ashraf, M., Batool, K., Hussain, M., and Meraj, M.A., MHD Flow of Micropolar Fluid over a Stretchable Disk in a Porous Medium with Heat and Mass Transfer, AIP Adv., vol. 5, no. 7, Article ID 077156, 2015.
Rauf, A., Siddiq, M.K., Abbasi, F.M., Meraj, M.A., Ashraf, M., and Shehzad S.A., Influence of Convective Conditions on Three-Dimensional Mixed Convective Hydromagnetic Boundary Layer Flow of Casson Nanofluid, J. Magnet. Magnet. Mater, vol. 416, pp. 200-207, 2016.
Reddy, P.S., Sreedevi, P., and Chamkha, A.J., MHD Boundary Layer Flow, Heat and Mass Transfer Analysis over a Rotating Disk through Porous Medium Saturated by Cu-Water and Ag-Water Nanofluid with Chemical Reaction, Powder Technol., vol. 307, pp. 46-55, 2017.
Sajid, M., Iqbal, S.A., Naveed, M., and Abbas, Z., Effects of Homogeneous-Heterogeneous Reactions and Magnetohydrody- namics on Fe3O4 Nanofluid for the Blasius Flow with Thermal Radiations, J. Mol. Liq., vol. 233, pp. 115-121, 2017.
Sandeep, N. and Sulochana, C., Dual Solutions for Unsteady Mixed Convection Flow of MHD Micropolar Fluid over a Stretch-ing/Shrinking Sheet with Non-Uniform Heat Source/Sink, Eng. Sci. Tech., Int. J., vol. 18, pp. 738-745, 2015.
Sheikholeslami, M. and Shehzad, S.A., Thermal Radiation of Ferrofluid in Existence of Lorentz Forces considering Variable Viscosity, Int. J. Heat Mass Transf, vol. 109, pp. 82-92, 2017.
Sheikholeslami, M., Magnetic Field Influence on Nanofluid Thermal Radiation in a Cavity with Titled Elliptic Inner Cylinder, J. Mol. Liq, vol. 229, pp. 137-147, 2017.
Turkyilmazoglu, M., Equivalences and Correspondences Between the Deforming Body Induced Flow and Heat in Two-Three Dimensions, Phys. Fluids, vol. 28, no. 4, Article ID 043102, 2016.
Turkyilmazoglu, M., Magnetohydrodynamic Two-Phase Dusty Fluid Flow and Heat Model over Deforming Isothermal Surfaces, Phys. Fluids, vol. 29, no. 1, Article ID 013302, 2017.
Turkyilmazoglu, M., MHD Fluid Flow and Heat Transfer due to a Shrinking Rotating Disk, Comput. Fluids, vol. 90, pp. 51-56, 2014a.
Turkyilmazoglu, M., Nanofluid Flow and Heat Transfer due to a Rotating Disk, Comput. Fluids, vol. 94, pp. 139-146, 2014b.
Turkyilmazoglu, M., Three Dimensional MHD Stagnation Flow due to a Stretchable Rotating Disk, Int. J. Heat Mass Transf., vol. 55, pp. 6959-6965, 2012.
Von Karman, T., Uber Laminare and Burbulente Reibung, Z. Angew. Math. Mech., vol. 1, no. 4, pp. 233-252, 1921.
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.
Zhang, C., Zheng, L., Zhang, X., and Chen, G., MHD Flow and Radiation Heat Transfer of Nanofluids in Porous Media with Variable Surface Heat Flux and Chemical Reaction, Appl. Math. Model, vol. 39, no. 1, pp. 165-181, 2015.
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