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Hosseini, Reza; Poozesh, Sadegh; Dinarvand, Saeed

MHD flow of an incompressible viscous fluid through convergent or divergent channels in presence of a high magnetic field. (English) Zbl 1334.76100

J. Appl. Math. 2012, Article ID 157067, 12 p. (2012).
Summary: The flow of an incompressible electrically conducting viscous fluid in convergent or divergent channels under the influence of an externally applied homogeneous magnetic field is studied both analytically and numerically. Navier-Stokes equations of fluid mechanics and Maxwell’s electromagnetism equations are reduced into highly non-linear ordinary differential equation. The resulting non-linear equation has been solved analytically using a very efficient technique, namely, differential transform method (DTM). The DTM solution is compared with the results obtained by a numerical method (shooting method, coupled with fourth-order Runge-Kutta scheme). The plots have revealed the physical characteristics of flow by changing angles of the channel, Hartmann and Reynolds numbers.

Cited in 2 Documents

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76W05 Magnetohydrodynamics and electrohydrodynamics
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\textit{R. Hosseini} et al., J. Appl. Math. 2012, Article ID 157067, 12 p. (2012; Zbl 1334.76100)
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