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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.2018019916
pages 283-299

ON ANALYSIS OF SQUEEZING FLOW BETWEEN ROTATING DISKS WITH CROSS DIFFUSION EFFECTS UNDER THE INFLUENCE OF CORIOLIS AND CENTRIFUGAL FORCES

Rehan Ali Shah
Department of Basic Sciences and Islamiat, University of Engineering and Technology Peshawar, Peshawar, KPK, Pakistan
Aamir Khan
Department of Basic Sciences and Islamiat, University of Engineering and Technology Peshawar, Peshawar, KPK, Pakistan
Muhammad Shuaib
Department of Basic Sciences and Islamiat, University of Engineering and Technology Peshawar, Peshawar, KPK, Pakistan

RÉSUMÉ

Fluid flow may be modeled by a system of differential equations that accounts for the squeezing and rotation effects and that are coupled with an advection diffusion and energy equation defining the mass and heat flux going from the lower to the upper disk. This system of equations is characterized by squeezing number S, Prandtl number Pr, Hartmann number M, radiation parameter Rd, Schmidt parameter Sc, Soret number So, suction/injection parameter A, and Dufour number Du. In the case of smooth disks the self-similar equations are solved using the homotopy analysis method (HAM) with appropriate initial guesses and auxiliary parameters to produce an algorithm with an accelerated and assured convergence. The accuracy of the HAM is proved by comparison of the HAM solution with numerical results obtained by BVP4c. A parametric study is tabulated and discussed with graphical aids.


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