TY - JOUR
ID - 16840
TI - Theoretical Study on Poiseuille Flow of Herschel-Bulkley Fluid in Porous Media
JO - Journal of Applied and Computational Mechanics
JA - JACM
LA - en
SN -
AU - Sankar, D.S.
AU - Viswanathan, K.K.
AU - Nagar, Atulya K.
AU - Binti Jaafar, Nurul Aini
AU - Kumar, A. Vanav
AD - Applied Mathematics and Economics Programme, School of Applied Sciences and Mathematics, Universiti Teknologi Brunei, Jalan Tungku Link, Bandar Seri Begawan, BE1410, Brunei Darussalam
AD - UTM Centre for Industrial and Applied Mathematics, Ibnu Sina Institute for Scienntific and Industrial Research, Universiti Teknologi Malaysia, 81310 Johor Bharu, Johor, Malaysia
AD - School of Mathematics, Computer Science and Engineering, Liverpool Hope University, Hope Park, Liverpool L16 9JD, United Kingdom
AD - Department of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 Johor Bharu, Johor, Malaysia
AD - Department of Mathematics, National Institute of Technology, Yupia – 791112, Arunachal Pradesh, India
Y1 - 2022
PY - 2022
VL - 8
IS - 4
SP - 1246
EP - 1269
KW - Mathematical analysis
KW - Porous medium
KW - Permeability
KW - Porosity
KW - Mean velocity.
DO - 10.22055/jacm.2021.36921.2928
N2 - 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.
UR - https://jacm.scu.ac.ir/article_16840.html
L1 - https://jacm.scu.ac.ir/article_16840_39277d65173045e342bc8310d166a88c.pdf
ER -