Mathematical Modelling Of Extraction Of The Underground Fluids: Application To Peristaltic Transportation Through A Vertical Conduit Occupied With Porous Material

Abstract

This paper gives a theoretical idea for extracting the underground fluids through peristalsis. Due to the similarity in aforesaid problem, peristaltic transportation of a viscous Newtonian fluid over a vertical porous conduit is studied by considering the impact of heat transfer. Presuming the long-wavelength approximation, explicit solutions are found as asymptotic expansions with reference to free convection and porosity parameters. Mathematical expressions for coefficient of heat transfer, temperature and mean flux are derived. It is experiential that for few precise values of dissimilar parameters under contemplation, the coefficient of heat transfer increases significantly as Grashof number and Eckert number increases. This narrates to optimization of heat transfer in some processes. Further, it has been observed that mean flow enhances with amplitude ratio, porosity in addition to pressure drop. This authorizes auxiliary research on the impacts of peristalsis on the flow features in vertical channels.

Numerical Investigation of the Heat Transfer and Peristaltic Flow Through a Asymmetric Channel Having Variable Viscosity and Electric Conductivity

“…In the biomedical field, the peristaltic flow of nanofluids with heat transfer can potentially be used in hyperthermia treatment for cancer therapy [25]. The study of the peristaltic flow of nanofluids with heat transfer is a rapidly growing field that presents numerous opportunities for research and development, with potential applications in various areas, including energy, biomedical, and industrial sectors [26]. The peristaltic flow of nanofluids with heat transfer having temperaturedependent viscosity and electric conductivity is an advanced field of fluid mechanics that combines the study of peristaltic motion with the unique properties of nanofluids and their temperature-dependent viscosity and electric conductivity.…”

Peristaltic motion with heat and mass transfer of nano‐Williamson fluids in two layers

“…Also, there are some studies 5–11 that dealt with the peristaltic transport of some models. In other words, in some works, 12–28 the nanoparticles of some minerals were added to the fluid to increase the thermal conductivity of these fluids, where the nanofluid is the combination of a simple fluid and nano‐sized particles uniformly suspended in the fluid. These nano‐sized particles can be metallic (Cu, Al, Hg, Ti, etc.)…”