Approximate Solution for Magnetohydrodynamics Fluid Flow between Two Circular Discs

AUTHOR(S):

Fatma Ayaz, Hayriye Yetim, Nilay Akgonullu Pirim

TITLE

Approximate Solution for Magnetohydrodynamics Fluid Flow between Two Circular Discs

ABSTRACT

This study is related to the unsteady magnetohydrodynamic (MHD) squeezing flow of a viscous incompressible fluid between two parallel discs one of which is fixed and permeable. The flow is assumed 2-D and the effects of heat transfer are taken into account. The governing Navier Stokes and heat equation given in cylindrical coordinates with the help of the similarity transformations are reduced into a system of coupled non-linear ordinary differential equations. Then, the solution of the resulting system is obtained in the form of truncated Taylor series where the coefficients are evaluated by using differential transform method, namely DTM. This method is a generalized algebraic way for obtaining Taylor series coefficients of a smooth function and that reduces the computational_x000D_
cost. Here, we have investigated the flow properties in terms of suction/injection coefficient as well as the other flow parameters. The illustrative examples show that the present results are very consistent with existing ones.

KEYWORDS

Magnetohydrodynamic Fluid, Navier Stokes Equations, Heat Equation, Differential Transform Method: Typing manuscripts, LATEX

REFERENCES

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Cite this paper

Fatma Ayaz, Hayriye Yetim, Nilay Akgonullu Pirim. (2018) Approximate Solution for Magnetohydrodynamics Fluid Flow between Two Circular Discs. International Journal of Mechanical Engineering, 3, 1-8