@article {
author = {Sankar, D.S. and Viswanathan, K.K. and Nagar, Atulya K. and Binti Jaafar, Nurul Aini and Kumar, A. Vanav},
title = {Theoretical Study on Poiseuille Flow of Herschel-Bulkley Fluid in Porous Media},
journal = {Journal of Applied and Computational Mechanics},
volume = {8},
number = {4},
pages = {1246-1269},
year = {2022},
publisher = {Shahid Chamran University of Ahvaz},
issn = {2383-4536},
eissn = {2383-4536},
doi = {10.22055/jacm.2021.36921.2928},
abstract = {This theoretical study analyses the effects of geometrical and fluid parameters on the flow metrics in the Hagen-Poiseuille and plane-Poiseuille flows of Herschel-Bulkley fluid through porous medium which is considered as (i) single pipe/single channel and (ii) multi–pipes/multi-channels when the distribution of pores size in the flow medium are represented by each one of the four probability density functions: (i) Uniform distribution, (ii) Linear distribution of Type-I, (iii) Linear distribution of Type-II and (iv) Quadratic distribution. It is found that in Hagen-Poiseuille and plane-Poiseuille flows, Buckingham-Reiner function increases linearly when the pressure gradient increases in the range 1 - 2.5 and then it ascends slowly with the raise of pressure gradient in the range 2.5 - 5.In all of the four kinds of pores size distribution, the fluid’s mean velocity, flow medium’s porosity and permeability are substantially higher in Hagen-Poiseuille fluid rheology than in plane-Poiseuille fluid rheology and, these flow quantitiesascend considerably with the raise of pipe radius/channel width and a reverse characteristic is noted for these rheological measures when the power law index parameter increases.The flow medium’s porosity decreases rapidly when the period of the pipes/channels distribution rises from 1 to 2 and it drops very slowly when the period of the pipes/channels rises from 2 to 11.},
keywords = {Mathematical analysis,Porous medium,Permeability,Porosity,Mean velocity.},
url = {https://jacm.scu.ac.ir/article_16840.html},
eprint = {https://jacm.scu.ac.ir/article_16840_39277d65173045e342bc8310d166a88c.pdf}
}