IJCSNS International Journal of Computer Science and Network Security, VOL.18 No.11, November 2018 Manuscript received November 5, 2018 Manuscript revised November 20, 2018 84 Computer Simulation of Pore – Throat Ratio on the Features of Flow Configuration of Permeability in Tightly Compressed Porous Matrix Zulqarnen Asadullah Baloch † , Syed Baqer Shah †† , Hisamuddin Shaikh ††† , Mahera Erum Baloch †††† † M.U.E.T Jamshoro, Pakistan, ††, ††† SALU Khairpur Pakistan, †††† I.C.E.U Duisburg-Essen,Campus Duisburg, Germany Abstract Present research work focuses on the two–dimensional axi symmetric incompressible flow of a constant viscosity Newtonian fluid past Pore–Throat circular pipe. Numerical solutions are obtained through time–marching finite element method. A Taylor–Galerkin/Pressure–Correction procedure in semi–implicit form is employed to achieve the steady–state solutions. To investigate the influence of inertia, such as, Reynolds number, impact of various pore–throat ratios on flow structure, pressure differential, and friction factor different parameters are employed. Predicted numerical results demonstrate Pore–Throat ratio have vital impact on the flow field distribution. Flow structure is visualized via streamline distribution, particularly formation of recirculation region in its intensity and size of vortices regarding length and position of vortex centre is analyzed by contour plots and graphs. Whilst, pressure distribution is also presented though contour plots and friction factors through graph. From the predicted numerical result, a good agreement is observed against other numerical as well as experimental solutions Key words: Pore–Throat Tube, Finite Element Method, Newtonian Fluids, Flow in Porous Media, Low Permeability, Pore Configuration. 1. Introduction Flow of fluid inwardlow permeability porous matrix significantly focusednow days in the pore–scale or micro– scale process. Computational investigation of such type of flows has intent by various researchers. Porous medium and fluid as well, both are considered as continuous mediums and might be separated in to four dissimilar scales like core–scale, pore–scale, giga–scale and mega– scale (Bear, [1], Al–Raoush and Alshibli, [2]). Since problems concerned with issues of micro–scale is not fully comprehended that’s why until now it’s not being clearly explained and is relatively scale model.Micro–scale’s time–space may differ in various fields of study. Space micro-scale is generally referred to huge scales (Harley, et al. [3] and Fu–Quan, [4]). It has from micron to atomic ranges in common such as submicron and micron; cluster and atom as well as Nano–metre even upper limit of micron is less than hundred μm. The application of micro– scale values in devices might be depend upon the scale order that enhances in a region towards volume ratios. Whilst, in case of fuel cells, mass and heat transfer or in electrochemical reactions principals of micro–scale may escort to key advancement density of power and cost effectiveness (Mala and Dong–Qing [5] and Kandlikar [6]). The submicron may beclassified as from0.1μm to 1nm in size. Scale having outsized about 1mm is considered to be macroscopic scale and having ranges between 1μm to 1 mm is considered as micro–scale (Song and Liu, [7], Hassanipour and Lage, [8], Lahbabi and Chang [9] and Pilitsis, et al. [10]).Number of researchers investigated recently on the fluid flow in the area of low permeability of porous matrix (Fu–Quan, [4], Gravesen, et al. [12], Jicheng, [12], Shaikh, et al., [13, 14] and Shah, et al.,[15, 16]). To investigate the flow phenomena of Newtonian and non– Newtonian fluids a finite element model is developed (Shaikh, et al. [13,14]).Particularly, in non–Newtonian case, a shear thinning fluid is simulated through 1: 4 ratio of backward step channel and pipe. The Power Law model was employed to analyse the behavior of various types of fluids with changing the power law index rate. Also, different fluid inertia through flow features and different low permeability’s were tested to analyse the effects of porous medium and without porous medium. The streamline patterns of the velocity, reattachment length and silent corner vortex length was computed with the increasing the fluid inertias. For Newtonian fluid, due to low fluid inertia the tinny vortex observed at silent corner of the backward step channel. As fluid inertia has been enhanced the formation of recirculation region enlarge the size of vortex was observed up to Reynolds number (Re = 50) fifty and fill the whole region of the backward step channel and pipe. For non–Newtonian fluids, the same vortex phenomena observed but the vortex size is lower than the Newtonian fluids and not filled the whole region of the backward step channel. Conversely, due to fill the porous medium the vortex phenomena vanished completely at all fluid inertias and with changing the low