Role of slip and heat transfer on peristaltic transport of Herschel-Bulkley fluid through an elastic tube

Abstract

Purpose

This paper is concerned with the peristaltic transport of an incompressible non-Newtonian fluid in a porous elastic tube. The impacts of slip and heat transfer on the Herschel-Bulkley fluid are considered. The impacts of relevant parameters on flow rate and temperature are examined graphically. The examination incorporates Newtonian, Power-law and Bingham plastic fluids. The paper aims to discuss these issues.

Design/methodology/approach

The administering equations are solved utilizing long wavelength and low Reynolds number approximations, and exact solutions are acquired for velocity, temperature, flux and stream functions.

Findings

It is seen that the flow rate in a Newtonian fluid is high when contrasted with the Herschel-Bulkley model, and the inlet elastic radius and outlet elastic radius have opposite effects on the flow rate.

Originality/value

The analysis carried out in this paper is about the peristaltic transport of an incompressible non-Newtonian fluid in a porous elastic tube. The impact of slip and heat transfer on a Herschel-Bulkley fluid is taken into account. The impacts of relevant parameters on the flow rate and temperature are examined graphically. The examination incorporates Newtonian, Power-law and Bingham plastic fluids.

Citation

Vaidya, H., Gudekote, M., Choudhari, R. and K.V., P. (2018), "Role of slip and heat transfer on peristaltic transport of Herschel-Bulkley fluid through an elastic tube", Multidiscipline Modeling in Materials and Structures, Vol. 14 No. 5, pp. 940-959. https://doi.org/10.1108/MMMS-11-2017-0144