Hall effects on isothermal vertical plate with uniform mass diffusion in the presence of rotating fluid and chemical reaction of first order

• Autorzy: Dhananjeya Kumaar V. S. A. , Muthucumaraswamy R.

Identyfikatory

DOI

10.1515/ijame-2017-0007

• Języki publikacji: EN

Abstrakty

EN

An exact solution of the combined study of Hall effects on a vertical plate with a rotating fluid in the presence of a homogeneous chemical reaction of first order has been analysed. The dimensionless governing coupled partial differential equations are tackled using the usual Laplace transform technique. The sway of the Hall parameter, Hartmann number, Grashof number, Prandtl number, Schmidt number, chemical reaction parameter on the axial velocity and concentration of the fluid has been depicted graphically. When the non-dimensional angular velocity, Ω=2M21+m.2, the transverse velocity component vanishes, thereby the axial velocity of the fluid attains the maximum value. It is noted that with increase in the Hall parameter, thermal Grashof number and mass Grashof number, the axial velocity of the fluid increases significantly.

Słowa kluczowe

EN

Hall effect; chemical reaction parameter; rotating fluid; angular velocity

PL

efekt Halla; reakcja chemiczna; prędkość kątowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2017
• Tom: Vol. 22, no. 1
• Strony: 111--121
• Opis fizyczny: Bibliogr. 11 poz., wykr.

Twórcy

autor

Dhananjeya Kumaar V. S. A.

• Department of Chemical Engineering Sri Venkateswara College of Engineering Irungattukottai, Sriperumbudur-602117, INDIA

autor

Muthucumaraswamy R.

• Department of Applied Mathematics Sri Venkateswara College of Engineering Irungattukottai, Sriperumbudur-602117, INDIA

Bibliografia

• [1] Barali A. and Borkakati A.K. (1982): The effect of Hall current on MHD flow and heat transfer between two parallel porous plates. – Applied Scientific Research, vol.39, pp.155-165.
• [2] Chambre P.L. and Young J.D. (1958): On the diffusion of a chemically reactive species in a laminar boundary layer flow. – The Physics of Fluids, vol.1, pp.48-54.
• [3] Das et al (2015): Hall effects on unsteady hydromagnetic flow past an accelerated porous plate in a rotating system. – Journal of Applied Fluid Mechanics, vol.8, No.3, pp.409-417. 9p.
• [4] Deka R.K. (2008): Hall effects on MHD flow past an accelerated plate. – Theoretical Appl. Mech., vol.35, No.4, pp.333-346.
• [5] Ghosh S.K. at al. (2009): Hall effects on MHD flow in a rotating system with heat transfer characteristics. – Meccanica, vol.44, pp.741–765.
• [6] Gupta S. (1975): Hydromagnetic flow past a porous flat plate with Hall effect. – Acta Mechanica, vol.22, pp.281-28.
• [7] Hetnarski R.B. (1975): An algorithm for generating some inverse Laplace transforms of exponential form. – ZAMP 26, pp.249-253.
• [8] Lal A.K. et al. (2009): Effect of Coriolis force on the shapes of rotating stars and stars in binary systems. – Astrophys Space Sci., vol.319, pp.45–53.
• [9] Muthucumarswamy R. and Jeyanthi (2014): Hall Effects on MHD flow past an infinite vertical plate in the presence of rotating fluid of variable temperature and uniform mass diffusion with first order chemical reaction. – International Journal of Applied Engineering Research, vol.9, pp.26259-26271.
• [10] Pop I. (1971): The effect of Hall current on hydromagnetic flow near on accelerated plate. – J. Math. Phys. Sci., vol.5, pp.375-379.
• [11] Ram P.C. (1995): Hall effect on hydromagnetic convection flow in a rotating fluid. – Astrophysics and Space Science, vol.158, No.2, pp.189-195.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)