PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Numerical study of a transient MHD flow across an oscillating vertical plate with thermal radiation and viscous dissipation

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The flow of an electrically conducting fluid across a vertically positioned oscillating semi-boundless plate with uniform mass diffusion and temperature is examined in this study in terms of the effects of thermal radiation and viscous dissipation. The dimensionless governing equations were solved using an effective and unconditionally stable implicit finite-difference approach known as the Crank-Nicolson method. Based on the numerical results, the impacts of various physical parameter values on concentration, temperature; velocity; Sherwood numbers, Nusselt numbers and skin-friction profiles are displayed graphically and their consequences thoroughly analyzed. We observed that when the magnetic field, radiation and phase angle parameters are increased, the velocity is reduced. This shows that plate oscillation, radiation and magnetic fields affect the flow pattern significantly.
Rocznik
Strony
77--89
Opis fizyczny
Bibliogr. 38 poz., wykr.
Twórcy
autor
  • Department of Mathematics, R.M.K. Engineering College, Kavaraipettai, Tamil Nadu, INDIA
  • Department of Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur, Tamil Nadu, INDIA
Bibliografia
  • [1] Hossain M.A. and Takhar H.S. (1996): Radiation effects on mixed convection along a vertical plate with uniform surface temperature.– Heat and Mass Transfer, vol.31, pp.243-248.
  • [2] Raptis A., Perdikis C. and Leontitsis A. (2003): Effects of radiation in an optically thin gray gas flowing past a vertical infinite plate in the presence of a magnetic field.– Heat and Mass Transfer, vol.39, pp.771-773.
  • [3] Soundalgekar V.M., Das U.N. and Deka R.K. (1997): Free convection effects on MHD flow past an infinite vertical oscillating plate with constant heat flux.– Indian Journal of Mathematics, vol.39, No.3, pp.195-202.
  • [4] Chaudhary R.C. and Arpita J. (2007): Combined heat and mass transfer effects on MHD free convection flow past an oscillating plate embedded in porous medium.– Romanian Journal of Physics, vol.52, pp.505-524.
  • [5] Rajput U.S. and Kumar S. (2011): MHD flow past an impulsively started vertical plate with variable temperature and mass diffusion.– Applied Mathematical Sciences, vol.5, No.3, pp.149-157.
  • [6] Seth G.S., Nandkeolyar R. and Md. S. Ansari. (2013): Effects of thermal radiation and rotation on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate with ramped temperature in a porous medium.– J. Appl. Fluid Mech, vol.6, No.1, pp.27-38.
  • [7] Anand Kumar and Singh A.K. (2013): Unsteady MHD free convective flow past a semi-infinite vertical wall with induced magnetic field.– Applied Mathematics and Computation, vol.222, pp.462-471.
  • [8] Asma K., Ilyas K., Arshad K. and Sharidan S. (2015): Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium.– Engineering Science and Technology an International Journal, vol.18, pp.309-317.
  • [9] Kataria H.R. and Patel H.R. (2018): Heat and mass transfer in magnetohydrodynamic (MHD) Casson fluid flow past over an oscillating vertical plate embedded in porous medium with ramped wall temperature.– Propulsion and Power Research, vol.7, No.3, pp.257-267.
  • [10] Azzam G.E.A. (2002): Radiation effects on the MHD mixed free-forced convection flow past a semi- infinite moving vertical plate for high temperature differences.– Physica Scripta, vol.66, No.1, pp.71-76.
  • [11] Abd-El-Naby M.A., Elasayed M.E., Elbarbary., Nader Y. and Abdelzem. (2003): Finite difference solution of radiation effects on MHD free convection flow over a vertical plate with variable surface temperature.– Journal of Applied Mathematics, vol.2, pp.65-86.
  • [12] Muthucumaraswamy R. and Janakiraman B. (2006): MHD and radiation effects on moving isothermal vertical plate with variable mass diffusion.– Theoretical and Applied Mechanics, vol.33, No.1, pp.17-29.
  • [13] Deka R.K. and Neog B.C. (2009): Unsteady MHD flow past a vertical oscillating plate with thermal radiation and variable mass diffusion.– Chamchuri Journal of Mathematics, vol.1, pp.79-92.
  • [14] Veera Krishna M. Ameer Ahamad N. and Chamkha A.J. (2021): Numerical investigation on unsteady MHD convective rotating flow past an infinite vertical moving porous surface.– Ain Shams Engineering Journal, vol.12, pp.2099-2109.
  • [15] Vijaya Kumar A.G. and Vijaya Kumar Verma S. (2011): Thermal radiation and mass transfer effects on MHD flow past a vertical oscillating plate with variable temperature effects variable mass diffusion.– Int. J. Eng., vol.3, pp.493-499.
  • [16] Rashidi M.M., Rostami B., Freidoonimehr N. and Abbasbandy. S. (2014): Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects.– Ain Shams Engineering Journal, vol.5, pp.901-912.
  • [17] Sahin Ahmed., Abdul Batin. and Chamkha A.J. (2015): Numerical/Laplace transform analysis for MHD radiating heat/mass transport in a Darcian porous regime bounded by an oscillating vertical surface.– Alexandria Engineering Journal, vol.54, No.1, pp.45-54.
  • [18] Muthucumaraswamy R. and Saravanan B. (2016): Finite difference analysis of thermal radiation and MHD effects on flow past an oscillating semi-infinite vertical plate with variable temperature and uniform mass flux.– Journal of Applied Fluid Mechanics, vol.9, No.1, pp.61-69.
  • [19] Raptis A. (2017): Effects of thermal radiation on the MHD flow past a vertical plate.– Journal of Engineering Thermophysics, vol.26, No.1, pp.53-59.
  • [20] Pattnaik J.R., Dash G.C. and Singh S. (2017): Radiation and mass transfer effects on MHD flow through porous medium past an exponentially accelerated inclined plate with variable temperature. – Ain Shams Engineering Journal, vol.8, pp.67-75.
  • [21] Rajput U.S and Gaurav Kumar. (2017): Radiation Effect on MHD flow past an inclined plate with variable temperaturę and mass diffusion.– International Journal of Applied Science and Engineering, vol.14, No.3, pp.171-183.
  • [22] Prabhakar Reddy B. and Makinde O.D. (2021): Numerical study on MHD radiating and reacting unsteady slip flow past a vertical permeable plate in a porous medium.– International Journal of Ambient Energy, pp.1-10.
  • [23] Yanala Dharmendar Reddy., Shankar Goud B. and Anil Kumar M. (2021): Radiation and heat absorption effects on an unsteady MHD boundary layer flow along an accelerated infinite vertical plate with ramped plate temperature in the existence of slip condition.– Partial Differential Equations in Applied Mathematics, vol.4, pp.100166.
  • [24] Lakshmi Appidi., Bala Siddulu Malga. and Pramod Kumar P. (2021): Effect of thermal radiation on an unsteady MHD flow over an impulse vertical infinite plate with variant with variant temperature in existence of Hall Current.– Heat Transfer, vol.51, No.3, pp.2367-2382.
  • [25] Gebhart B. (1962): Effects of viscous dissipation in natural convection.– Journal of Fluid Mechanics, vol.14, No.2, pp.225-232.
  • [26] Israel-Cookey C., Ogulu A. and Omubo-Pepple V.M. (2003): Influence of viscous dissipation on unsteady MHD free convection flow past an infinite vertical plate in porous medium with time-dependent suction.– International Journal of Heat and Mass Transfer, vol.46, No.13, pp.2305-2311.
  • [27] Chen C-H. (2004): Heat and mass transfer in MHD flow by natural convection from a permeable, inclined surface with variable wall temperature and concentration.– Acta Mech., vol.172, pp.219-235.
  • [28] Prasad V.R. and N.B. Reddy. (2007): Radiation and mass transfer effects on an unsteady MHD free convection flow past a heated vertical plate in a porous medium with viscous dissipation.– Theoretical Applied Mechanics, vol.34, No.2, pp.135-160.
  • [29] Jordan J.Z. (2007): Network simulation method applied to radiation and viscous dissipation effects on MHD unsteady free convection over vertical porous plate.– Applied Mathematical Modelling, vol.31, pp.2019-2033.
  • [30] Suneetha S., Bhaskar Reddy N. and Ramchandra Prasad V. (2009): Radiation and mass transfer effects on MHD free convection flow past an impulsively started isothermal vertical plate with dissipation.– Thermal Science, vol.13, No.2, pp.171-181.
  • [31] Kishore P.M., Rajesh V. and Vijayakumar Verma S. (2012): The effects of thermal radiation and viscous dissipation on MHD heat and mass diffusion flow past an oscillating vertical plate embedded in a porous medium with variable surface conditions.– Theoretical and Applied Mechanics, vol.39, No.2, pp.99-125.
  • [32] Siva Reddy Sheri and Srinivasa Raju R. (2015): Soret Effect on unsteady MHD free convective flow past a semi- infinite vertical plate in the presence of viscous dissipation.– International Journal for Computational Methods in Engineering Science and Mechanics, vol.16, pp.132-141.
  • [33] Sreenivasulu P., Poornima T. and Bhaskar Reddy N. (2016): 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, vol.9, No.1, pp.267-278.
  • [34] Hasan M., Karim E. and Samad A. (2017): MHD free convection flow past an inclined stretching sheet with considering viscous dissipation and radiation.– Open Journal of Fluid Dynamics, vol.7, pp.152-168.
  • [35] Shankar Goud B. and Rajashekar M.N. (2017): Finite element solution on effects of viscous dissipation and diffusion thermo on unsteady MHD flow past an impulsively started inclined oscillating plate with mass diffusion and variable temperature.– International Research Journal of Engineering and Technology, vol.4, No.2, pp.471-477.
  • [36] Jithender Reddy G., Srinivasa Raju R. and Anand Rao J. (2018): Influence of viscous dissipation on unsteady MHD natural convective flow of Casson fluid over an oscillating vertical plate via FEM.– Ain Shams Engineering Journal, vol.9, No.4, pp.1907-1915.
  • [37] Prabhakar Reddy B. and Muthucumaraswamy R. (2020): Effects of thermal radiation on MHD chemically reactive flow past an oscillating vertical porous plate with variable surface conditions and viscous dissipation.– i-Manager’s Journal on Future Engineering and Technology, vol.15, No.2, pp.8-18.
  • [38] Carnahan B., Luther H.A. and Wilkes J.O. (1969): Applied Numerical Methods.– John Wiley and Sons, New York.
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0b863670-a451-473a-84c8-629b28b4f2d4
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.