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Radiation absorption and chemical reaction effects on Rivlin-Ericksen flow past a vertical moving porous plate

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Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An analysis has been carried out to study the combined effects of radiation absorption and chemical reaction on an incompressible, electrically conducting and radiating flow of a Rivlin-Ericksen fluid along a semi-infinite vertical permeable moving plate in the presence of a transverse applied magnetic field. It is assumed that the suction velocity, the temperature and the concentration at the wall are exponentially varying with time. The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic functions. A comparison is made with the available results in the literature for a special case and our results are in very good agreement with the known results. A parametric study of the physical parameters is made and results are presented through graphs and tables. The results indicate that the fluid velocity and temperature could be controlled by varying the radiation absorption.
Rocznik
Strony
675--689
Opis fizyczny
Bibliogr. 24 poz., wykr.
Twórcy
  • Department of Mathematics, The Maharaja Sayajirao University of Baroda Vadodara-390002, Gujarat, INDIA
  • Department of Mechanical Engineering, Cleveland State University Cleveland, OHIO, 44115 USA
Bibliografia
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  • [3] Vlastos G.A. (1998): The visco-elastic behavior of blood and blood-like model fluids with emphasis on the superposition of steady and oscillatory shear. Clinical. Hemorheology and Microcirculation, vol.19, pp.177-179.
  • [4] Wouter Z., Hendriks M. and Hart M.T. (2005): A velocity-based approach to viscoelastic flow of rock. Math. Geol, vol.37, pp.141-162.
  • [5] Nakayama A. and Koyama H. (1991): Buoyancy induced flow of a non-Newtonian fluids over a non-isothermal body of arbitrary shape in a fluid saturated porous medium. Appl. Sci. Res, vol.48, pp.55-70.
  • [6] Mehta K.N. and Rao K.N. (1994): Buoyancy induced flow of a non-Newtonian fluids over a non isothermal horizontal plate embedded in a porous medium. Int. J. Eng. Sci., vol.32, pp.521-525.
  • [7] Mehta K.N. and Rao K.N. (1994): Buoyancy induced flow of non-Newtonian fluids in a porous medium past a vertical plate with non-uniform surface heat flux. Int. J. Eng. Sci., vol.32, pp.297-302.
  • [8] De S., Kuipers J.A.M., Peters E.A.J.F. and Padding J.T. (2017): Viscoelastic flow simulations in random porous media. Journal Of Non-Newtonian Fluid Mechanics, vol.248, pp.50-61.
  • [9] Bhukta D., Dash G.C. and Mishra S.R. (2014): Heat and mass transfer on MHD flow of a viscoelastic fluid through porous media over a shrinking sheet. International Scholarly Research Notices, Article ID 572162, http://dx.doi.org/10.1155/2014/572162.
  • [10] Nayak M.K., Charan Dash G. and Prased Singh L. (2016): Heat and mass transfer effects on MHD visco elastic fluid over a stretching sheet through porous medium in presence of chemical reaction. Propulsion and Power Research, vol.5, No.1, pp.70-80.
  • [11] Rivlin R.S. and Ericksen J.L. (1955): Stress -deformation relations for isotropic materials. J. Rational Mechanics and Analysis, vol.4, pp.681-702.
  • [12] Srivastava R.K. and Singh K.K. (1988): Unsteady flow of a dusty elastico-viscous fluid through channels of different cross-sections in the presence of time-dependent pressure gradient. Bull. Cal. Math. Soc., vol.80, pp.286.
  • [13] Garg A., Srivastava R.K. and Singh K.K. (1994): Drag on a sphere oscillating in conducting dusty Rivlin-Ericksen elastico- viscous liquid.  Proc. Nat. Acad. Sci. India, vol.64A, pp.355-363.
  • [14] Sharma R.C. and Kango S.K. (1999): Thermal convection in Rivlin-Ericksen elastico-viscous fluid in porous medium in hydromagnetics. Czechoslovak Journal of Physics, vol.49, No.2, pp.197-203.
  • [15] Siddappa B. and Khapate B.S. (1976): Rivlin-Erickson fluid flow past stretching plate. Rev Roum. Sci, Tech. Mech. Appl, vol.21, pp.497-505.
  • [16] Humera N., Ramana Murthy M.V., Reddy C.K., Rafiuddin M., Ramu A. and Rajender S. (2010): Hydromagneticsfree convective Rivlin–Ericksen flow through a porous medium with variable permeability. Int. J. Comput. Appl. Math. , vol.5, No.3, pp.267-75.
  • [17] Rana G.C. (2012): Thermal instability of compressible Rivlin–Efficksen rotating fluid permeated with suspended dust particles in porous medium. Int. J. Appl. Math. Mech., vol.8, No.4, pp.97-110.
  • [18] Uwanta J. and Hussaini A. (2012): Effects of mass transfer on hydro magnetic free convective Rivlin–Ericksen flow through a porous medium with time dependent suction. Int. J. Eng. Sci., vol.1, No.4, pp.21-30.
  • [19] Varshney N.K., Singh S. and Singh J. (2011): Effects of rotatory Rivlin-Ericksen fluid on MHD free convective and mass transfer flow through porous medium with constants heat and mass flux across moving plate. IOSR J. Eng., vol.1, No.1, pp.10-7.
  • [20] Kim Youn J. (2000): Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction. Int. J. Eng. Sci., vol.38, pp.833-845.
  • [21] Ravi Kumar V., Raju M.C. and Raju G.S.S. (2014): Combined effects of heat absorption and MHD on convective Rivlin-Erickese flow past a semi-infinite vertical plate with variable temperature and suction. Ain Shams Engineering Journal, vol.5, No.3, pp.867-875.
  • [22] Sivaraj R. and Rushi Kumar B. (2013): Chemically reacting dusty viscoelastic fluid flow in an irregular channel with convective boundary. Ain Shams Engineering Journal, vol.4, pp.93-101.
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Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-809c6062-3497-4f89-ab01-9a6478f18d93
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