Effects of heat transfer and the endoscope on Jeffrey fluid peristaltic flow in tubes

Abstract

Purpose

This article aims to describe the effect of an endoscope and heat transfer on the peristaltic flow of a Jeffrey fluid through the gap between concentric uniform tubes.

Design/methodology/approach

The mathematical model of the present problem is carried out under long wavelength and low Reynolds number approximations. Analytical solutions for the velocity, temperature profiles, pressure gradient and volume flow rate are obtained.

Findings

The results indicate that the effect of the wave amplitude, radius ratio, Grashof number, the ratio of relaxation to retardation times and the radius are very pronounced in the phenomena. Also, a comparison of obtaining an analytical solution against previous literatures shows satisfactory agreement.

Originality/value

Analytical solutions for the velocity, temperature profiles, pressure gradient and volume flow rate are obtained. Numerical integration is performed to analyze the pressure rise and frictional forces on the inner and outer tubes.

Citation

Abd-Alla, A.M., Abo-Dahab, S.M., Abdelhafez, M.A. and Thabet, E.N. (2021), "Effects of heat transfer and the endoscope on Jeffrey fluid peristaltic flow in tubes", Multidiscipline Modeling in Materials and Structures, Vol. 17 No. 5, pp. 895-914. https://doi.org/10.1108/MMMS-12-2020-0292