Start-off MHD electrokinetic Couette flow in an annulus: A Riemann-sum approximation approach

• Autorzy: Oni, Michael O. , Jha, Basant K. , Abba, Junaid M. , Mundi, Baba I. , Adebayo, Olaife H.
• Języki publikacji: EN

Abstrakty

EN

The time dependent Couette flow of an electrically conducting fluid in a horizontal annulus in the presence of electric potential and accelerated motion of the outer cylinder is investigated. The governing electric field potential as well as the momentum equations are obtained from Poisson–Boltzmann and Navier-Stokes equations respectively. As a promising tool for solving time-dependent problems, the Laplace transform technique is used to obtain analytical solution for electric field and velocity profile in Laplace domain. Using the Riemann-sum approximation simulation, the results are obtained numerically in time-domain. In the course of numerical and graphical representations of results, it is found that the magnitude of electrokinetic effect as well as Debye-Hückel parameter play important role in flow formation and mass flow rate in the horizontal annulus. Further, velocity, skin-friction and mass flow-rate decrease with increase in Debye-Hückel parameter at all-time regardless of the mode of application of magnetic field. In addition, mass flow-rate can be enhanced with increasing Hartmann number when the magnetic field fixed relative to the moving cylinder.

Słowa kluczowe

PL

przepływ Couette'a; MHD; pierścienie

EN

electrokinetic; unsteady; Couette flow; annuli; MHD

• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2024
• Tom: Vol. 29, no. 3
• Strony: 82--100
• Opis fizyczny: Bibliogr. 30 poz., rys., wykr.

Twórcy

autor

Oni, Michael O.

• Department of Mathematics, Ahmadu Bello University, Zaria, NIGERIA,

autor

Jha, Basant K.

• Department of Mathematics, Ahmadu Bello University, NIGERIA

autor

Abba, Junaid M.

• Department of Mathematics, Ahmadu Bello University, Zaria, NIGERIA

autor

Mundi, Baba I.

• ICT, Nigerian Institute of Transport Technology, NIGERIA

autor

Adebayo, Olaife H.

• Department of Mathematics, Ahmadu Bello University, Zaria, NIGERIA

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Identyfikatory

DOI

10.59441/ijame/190397