Open AccessMathematical Modelling Of Extraction Of The Underground Fluids: Application To Peristaltic Transportation Through A Vertical Conduit Occupied With Porous Material
Author(s) -
G. Ravi Kiran,
Shamshuddin,
C. Balarama Krishna,
K. Rajesh Chary
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/981/2/022089
Subject(s) - grashof number , mechanics , darcy number , heat transfer , pressure drop , porosity , thermodynamics , heat transfer coefficient , electrical conduit , porous medium , darcy's law , peristalsis , natural convection , materials science , chemistry , physics , engineering , mechanical engineering , turbulence , rayleigh number , composite material , nusselt number , biochemistry , reynolds number
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.