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Effect of an endoscope and rotation on the peristaltic flow involving a Jeffrey fluid with magnetic field

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Abstract

This paper deals with the influence of an endoscope and rotation on peristaltic flow of a Jeffrey fluid through the cylindrical cavity between concentric tubes with magnetic field. The two-dimensional equations of Jeffrey fluid are simplified by making the assumptions of long wave length and low Reynolds number. The expressions for pressure gradient, velocity, pressure rise, friction force on the inner and outer tubes and shear stress are sketched for various embedded parameters and interpreted. The effect of the non-dimensional wave amplitude, magnetic field, rotation, ratio of relaxation to retardation time, radius ratio and non-dimensional volume flow are analyzed theoretically and computed numerically. The features of the flow characteristics are analyzed by plotting graphs and discussed in detail. Comparison was made with the results obtained in the presence and absence of rotation, an endoscope and magnetic field. The results indicate that the effect of the non-dimensional wave amplitude, rotation, ratio of relaxation to retardation time, radius ratio and non-dimensional volume flow on peristaltic flow is highly pronounced.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Taif University, 888, Taif, Saudi Arabia

    A. M. Abd-Alla & S. M. Abo-Dahab

  2. Mathematics Department, Faculty of Science, Sohag University, Sohâg, Egypt

    A. M. Abd-Alla

  3. Mathematics Department, Faculty of Science, South Valley University, Qena, 83523, Egypt

    S. M. Abo-Dahab

Authors
  1. A. M. Abd-Alla
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  2. S. M. Abo-Dahab
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Correspondence to A. M. Abd-Alla.

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Technical Editor: Francisco Ricardo Cunha.

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Abd-Alla, A.M., Abo-Dahab, S.M. Effect of an endoscope and rotation on the peristaltic flow involving a Jeffrey fluid with magnetic field. J Braz. Soc. Mech. Sci. Eng. 37, 1277–1289 (2015). https://doi.org/10.1007/s40430-014-0257-5

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  • DOI: https://doi.org/10.1007/s40430-014-0257-5

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