Мақола

Flow of generalized Burgers fluid between parallel walls induced by rectified sine pulses stress

Qamar SultanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, PakistanMudassar NazarCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, PakistanMuhammad ImranCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, PakistanUsman AliCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

2014en

ABI

Аннотация

Abstract This paper presents the unsteady magnetohydrodynamic (MHD) flow of a generalized Burgers’ fluid between two parallel side walls perpendicular to a plate. The plate applies a shear stress induced by rectified sine pulses to the fluid. The obtained solutions by means of the Laplace and Fourier cosine and sine transforms are presented as a sum of the corresponding Newtonian and non-Newtonian contributions. The effects of the magnetic field, permeability, and the period of the oscillation have been observed on the fluid motion. Moreover, the influence of the side walls on the fluid motion and the distance between the walls for which the velocity of the fluid in the middle of the channel is negligible are presented by graphical illustrations. MSC: 76A05, 76A10.

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Идентификаторлар

DOI: 10.1186/s13661-014-0152-0

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