International Scientific Journal


The motive of this study is to investigate the spinning fluid-flow due to revolving disk for the magnetic unsteady Brownian motion of viscous nanofluid. Here the disk is assumed to have an inverse linear angular velocity. In this paper mass transfer is incorporated in the analysis with the existing problem. The array of equation for the unsteady flow firstly converted into dimensionless non-linear equation using appropriate transformation and then the dimensionless system of equation is further solved numerically utilizing MAPLE software. The different emerging parameters mainly magnetic parameter, variable viscosity, Prandtl number, Eckert number, thermophoresis, and Brownian motion parameter has been investigated through graphs and shown in tabular form also.
PAPER REVISED: 2022-04-14
PAPER ACCEPTED: 2022-05-14
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Special issue 1, PAGES [141 - 149]
  1. Karman, V. T., Uber laminare und turbulentereibung (in German), Z Angew Math. Mech., 1 (1921), pp. 233-252
  2. Cochran, W., The Flow Due to a Rotating Disc, Mathematical Proceedings of the Cambridge Philosophical Society, 30 (1934), 3, pp. 365-375
  3. Benton, E. R., On the Flow Due to a Rotating Disk, Journal Fluid Mech., 24 (1966), pp. 781-800
  4. Frusteri, F., Osalusi, E., On MHD and Slip Flow over a Rotating Porous Disk with Variable Properties, Int. Commun. Heat Mass Transf., 34 (2007), 34, pp. 492-501
  5. Ram, P., Kumar, V., Swirling Flow of Field Dependent Viscous Ferrofluid over a Porous Ratating Disk, Int. J. Appl. Mech., 6 (2014), 1450033
  6. Reddy, P. S., et al., The 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., 307 (2017), Feb., pp. 46-55
  7. Sharma, K., et al., Hydromagnetic Boundary-Layer Flow with Heat Transfer Past a Rotating Disc Embedded in a Porous Medium, Heat Trans Asian Res., 50 (2021) 5, pp. 4342-4353
  8. Sharma, K., et al., Boundary-Layer Flow with Forced Convective Heat Transfer and Viscous Dissipation Past a Porous Rotating Disk, Chaos Solitons Fractals, 148 (2021), 111055
  9. Sharma, K., et al., Rheological Effects on Boundary-Layer Flow of Ferro Fluid with Forced Convective Heat Transfer over an Infinite Rotating Disk, Pramana J. Phys, 95 (2021), 113
  10. Beg, O. A., et al., Numerical Investigation of Von Karman Swirling Bioconvective Nanofluid Transport from a Rotating Disk in a Porous Medium with Stefan Blowing and Anisotropic Slip Effects, Proc. Inst. Mech. Eng., Part C, Journal Mech. Eng. Sci., 235 (2020), 19, pp. 3933-3951
  11. Makinde, O. D., Animasaun, I. L., Thermophoresis and Brownian Motion Effects on MHD Bioconvection of Nanofluid with Non-Linear Thermal Radiation and Quartic Chemical Reaction Past an upper Horizontal Surface of a Paraboloid of Revolution, Journal of Molecular Liquids, 221 (2016), 733
  12. Sheikholeslami, M., et al., Magnetohydrodynamic Free Convection of Al2O3-Water Nanofluid Considering Thermophoresis and Brownian Motion Effects, Computers and Fluids, 94 (2014), May, pp. 94-147
  13. Mittal, et al., Influence of Thermophoresis and Brownian Motion on Mixed Convection 2-D MHD Casson Fluid-Flow with Non-Linear Radiation and Heat Generation, Physica A, Statistical Mechanics and its Applications, 537 (2020), 122710
  14. Reddy, J. V., et al., Thermophoresis and Brownian Motion Effects on Unsteady MHD Nanofluid-Flow over a Slendering Stretching Surface with Slip Effects, Alexandria Engineering Journal, 57 (2018), 2465
  15. Babu, M., et al., The 3-D MHD Slip Flow of Nanofluids over a Slendering Stretching Sheet with Thermophoresis and Brownian Motion Effects, Advanced Powder Technology, 27 (2016), Oct., pp. 2039-2050
  16. Kandasamy, R., et al., Thermophoresis and Brownian Motion Effects on MHD Boundary-Layer Flow of a Nanofluid in the Presence of Thermal Stratification Due to Solar Radiation, International Journal of Mechanical Sciences, 70 (2013), May, pp. 146-154
  17. Jain, R., et al., Mathematical Study of MHD Casson Fluid-Flow through Porous Media Along with Soret and Dufour Effects over a Stretching Surface, Science and Technology Asia, 26 (2021), Oct., pp. 60-73
  18. Jain, R., et al., Numerical Study of Chemically Reactive MHD Hydrodynamic Boundary-Layer Fluid-Flow over an Absorptive Surface in the Presence of Slip and Mixed Convection, Advances in Mathematics: Scientific Journal, 9 (2020), 9, pp. 7057-7064
  19. Sharma, K., et al., Heat and Mass Transfer Study of Hydrocarbon Based Magnetic Nanofluid (C1-20B) with Geothermal Viscosity, Proceedings of the Institution of Mechanical Engineers - Part E: Journal of Process Mechanical Engineering, On-line first,, 2022
  20. Rafiq, T., et al., Modelling Heat Transfer in Fluid-Flow Near a Decelerating Rotating Disk with Variable Fluid Properties, International Communications in Heat and Mass Transfer, 116 (2020), 104673
  21. Shevchuk, V., Convective Heat and Mass Transfer in Rotating Disk System, Berlin, Heidelberg: Springer, New York, USA, 2009
  22. Turkyilmazoglu, M., Senel, P., Heat and Mass Transfer of the Flow Due to a Rotating Rough and Porous Disk, Int. J. Thermal Science, 63 (2013), Jan., pp. 146-158
  23. Mushtaq, A., Mustafa, M., Computations for Nanofluid-Flow Near a Stretchable Rotating Disk with Axial Magnetic Field and Convective Conditions, Results Phys, 7 (2017), Aug., pp. 3137-3144
  24. Tassaddiq, A., et al., Heat and Mass Transfer Together with Hybrid Nanofluid-Flow over a Rotating Disk, AIP Adv., 10 (2020), 055317
  25. Reddy, P. S., Heat and Mass Transfer Analysis of Unsteady Hybrid Nanofuidfow over a Stretching Sheet with Thermal Radiation, SN Appl. Sci., 2 (2020), 7, pp. 1-15
  26. Joshi, V. K., et al., Numerical Investigation of Magnetic Nanofluids Flow over Rotating Disk Embedded in Porous Mediu, Thermal Science, 22 (2018), 6B, pp. 2883-2895
  27. Eid, M. R., Mabood, F., Thermal Analysis of Higher-Order Chemical Reactive Viscoelastic Nanofluids Flow in Porous Media Via Stretching Surface, Proc. Inst. Mech. Eng., Part C, Journal Mech. Eng. Sci., 235 (2021), 22, pp. 6099-6110
  28. Waston, L. T., Wang, C. Y., Deceleration of a Rotating Disk in a Viscous Fluid, Phys. Fluids, 22 (1979), 6, pp. 2267-2269
  29. Xu, H., Liao S., A Series Solution of the Unsteady Von Karman Swirling Viscous Flows, Acta Appl. Math, 94 (2007), Jan., pp. 215-231
  30. Xu, H., Modelling Unsteady Mixed Convection of a Nanofluid Suspended with Multiple Kinds of Nanoparticles between Two Rotating Disks by Generalized Hybrid Model, Int. Commun. Heat and Mass Transf., 108 (2019), 104275
  31. Ahmed, J., et al., Transient Thin Film Flow of Non-Linear Radiative Maxwell Nanofluid over a Rotating Disk, Phys. Lett., 338 (2019), 12, pp. 1300-1305
  32. Pop, I., et al., The Effect of Variable Viscosity on Flow and Heat Transfer to a Continuous Moving Flat Plate, Int. J. Eng. Sci., 30 (1992), 24, pp. 1-6
  33. Elbashbeshy, E. M. A., Bazid, M. A. A., The Effect of Temperature-Dependent Viscosity on Heat Transfer over a Continuous Moving Surface, Journal Phy. D: App. Phy., 33 (2000), 3, pp. 2716-2721
  34. Andersson, H. I., Aarseth, J. B., Sakiadis Flow with Variable Fluid Properties Revisited, Int. J. Eng. Sci., 45 (2007), 2-8, pp. 554-561

© 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