Heat transfer and inclined magnetic field analysis on peristaltically induced motion of small particles

In this article, simultaneous effects of heat transfer with a uniform inclined magnetic field on peristaltically induced motion of small particles (particle–fluid) have been analyzed through a uniform channel. Inspired from the applications of two-phase (particle–fluid) flow in biomedical engineering that helps to scrutinize the symmetrical expansion and contraction of smooth muscles (“peristaltic flow”) during the procreation of multiple kinds of biological fluids. Moreover, it is also applicable in different engineering problems such as peristaltic pumping of particle–fluid mixtures and suspension of blood in arteries. The governing flow problem modeled in wave frame with an appropriate use of momentum equation and thermal energy equations, which are simplified for fluid phase and particle by taking the appropriate assumption of long wavelength as well as ignoring the inertial forces. The resulting differential coupled differential equations (ODEs) are linear which are solved analytically and exact solutions are presented for the fluid and particulate phases. The impact of all the physical parameters such as Hartman number, particle volume fraction, amplitude ratio, Froude number, Reynolds number, Prandtl number and Eckert number are discussed vigorously for pressure rise, velocity, streamlines and temperature profile. Furthermore, numerical computation has been used to examine the behavior of peristaltic pumping.