Abstract
ABSTRACTA mathematical model is proposed to study the influence of elasticity on the peristaltic flow of a generalized Newtonian fluid in a tube. A power-law model is considered in the present study to understand the effect of elasticity on the peristaltic flow of blood through arteries. Application of blood flow through arteries is studied by expressing a relationship between pressure gradient and volume flow rate in an elastic tube. The results show the significant effect of elasticity on flow quantities. It is observed that the flux increases as the fluid behaviour index increases and that the flux is more for a Newtonian fluid when compared to non-Newtonian cases. The trapping phenomenon is presented graphically for various physical parameters. The results obtained in the present study are compared with an earlier investigation of Vajravelu et al. (Peristaltic transport of a Herschel–Bulkley fluid in an elastic tube. Heat Transf-Asian Res. 2014;44:585–598).
Highlights
The present study analyses the effect of elastic properties on the peristaltic flow of a generalized Newtonian fluid in a tube
The study of blood flow in arteries is modelled by non-Newtonian fluids, in which the stress and strain-rate relation is non-linear
Peristalsis is an inherent property in many biological systems which are elastic in nature; so it is important to study the peristaltic flow characteristics of a power-law fluid in an elastic tube
Summary
The present study analyses the effect of elastic properties on the peristaltic flow of a generalized Newtonian fluid in a tube. The flow of a power-law fluid is considered under the long wave length and low Reynolds number approximations to understand both peristaltic and elasticity effects. Peristalsis is an inherent property in many biological systems which are elastic in nature; so it is important to study the peristaltic flow characteristics of a power-law fluid in an elastic tube. Different models were proposed by various investigators to study the peristaltic mechanism in physiological situations by considering the Newtonian or non-Newtonian fluids. To understand the rheological properties of physiological fluids in living organisms, the elastic nature of flow geometries is taken into consideration
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
