Influence of convective conditions on the peristaltic mechanism of power-law fluid through a slippery elastic porous tube with different waveforms
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 8 October 2019
Issue publication date: 5 February 2020
Abstract
Purpose
The purpose of this paper is to emphasize the peristaltic mechanism of power-law fluid in an elastic porous tube under the influence of slip and convective conditions. The effects of different waveforms on the peristaltic mechanism are taken into account.
Design/methodology/approach
The governing equations are rendered dimensionless using the suitable similarity transformations. The analytical solutions are obtained by using the long wavelength and small Reynold’s number approximations. The expressions for velocity, flow rate, temperature and streamlines are obtained and analyzed graphically. Furthermore, an application to flow through an artery is determined by using a tensile expression given by Rubinow and Keller.
Findings
The principal findings from the present model are as follows. The axial velocity increases with an expansion in the estimation of velocity slip parameter and fluid behavior index, and it diminishes for a larger value of the porous parameter. The magnitude of temperature diminishes with an expansion in the Biot number. The flux is maximum for trapezoidal wave and minimum for the triangular wave when compared with other considered waveforms. The flow rate in an elastic tube increases with an expansion in the porous parameter, and it diminishes with an increment in the slip parameter. The volume of tapered bolus enhances with increasing values of the porous parameter.
Originality/value
The current study finds the application in designing the heart-lung machine and dialysis machine. The investigation further gives a superior comprehension of the peristaltic system associated with the gastrointestinal tract and the stream of blood in small or microvessels.
Keywords
Acknowledgements
The authors would like to thank all the reviewers for the constructive and helpful comments that lead to definite improvement in the paper.
Citation
Gudekote, M., Choudhari, R., Vaidya, H., K.V., P. and J.U., V. (2020), "Influence of convective conditions on the peristaltic mechanism of power-law fluid through a slippery elastic porous tube with different waveforms", Multidiscipline Modeling in Materials and Structures, Vol. 16 No. 2, pp. 340-358. https://doi.org/10.1108/MMMS-01-2019-0006
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited