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Peristaltic flows: A quantitative measure for the size of a bolus

Author

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  • Ehsan, Tayyaba
  • Anjum, Hafiz Junaid
  • Asghar, Saleem

Abstract

In this paper, we give an exact definition for the size of a bolus sb (a circular flow pattern developed in peristaltic flows) based on the area of the outermost closed streamline around an equilibrium (or stagnation) point. The detailed analytical and numerical working of the proposed definition is given with the aid of some examples. It is shown that there is little difference between the analytical and numerical results, however, the analytical implementation involves much more effort than is required in the numerical implementation. We also show that the proposed definition works better than the conventional approaches where the size of a bolus is usually inferred by visually inspecting the contour plots of a stream function. The proposed definition can serve as a basis for the development of mathematical framework which can be used to investigate the quantitative effects of various flow parameters on the size of a bolus.

Suggested Citation

  • Ehsan, Tayyaba & Anjum, Hafiz Junaid & Asghar, Saleem, 2020. "Peristaltic flows: A quantitative measure for the size of a bolus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    • Handle: RePEc:eee:phsmap:v:553:y:2020:i:c:s0378437120300443
    DOI: 10.1016/j.physa.2020.124211
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