Open Access Open Access  Restricted Access Subscription Access

Numerical Approach of Non-Newtonian Fluid Flows in a Bifurcation Channel

Md. Noor-A-Alam Siddiki, Farjana Habiba, Md. Shahinur Islam

Abstract


The investigation of non-Newtonian fluid flow behaviors are discussed in a bifurcated channel using Lattice-Boltzmann Method (LBM) in our study. This method is established on the D2Q9 model, and the single-relaxation-time (SRT) method called the Lattice-BGK (Bhatnagar-Gross-Krook) model. The flow patterns are similar to blood flows in branched arteries for bifurcation flows. Firstly, the code validation is performed for the Newtonian fluid flows by comparing the available published results. The numerical outcomes are calculated for the different Reynolds number Re, power-law index n and the outlet flow rate ratioβ. The outcome of this relevant parameter on the streamlines, vortices, velocity distribution, recirculation zones as well as shear stress will be studied to analyze the hemodynamic of blood flows near arterial bifurcations.


Full Text:

PDF

References


Hubert Hervet and Liliane L´eger. Flow with slip at the wall: from simple to complex fluids. Comptes rendus physique, 4(2):241–249, 2003.

Volker John and Anastasios Liakos. Time-dependent flow across a step: the slip with friction boundary condition. International journal for numerical methods in fluids, 50(6):713–731, 2006.

Quan Zhang and Andrea Prosperetti. Pressure-driven flow in a two-dimensional channel with porous walls. Journal of fluid mechanics, 631:1–21, 2009.

EI Borzenko and OA Dyakova. Power-law fluid flow in a t-shaped channel with slip boundary conditions on the solid walls. In Journal of Physics: Conference Series, volume 1128, page 012013. IOP Publishing, 2018.

Evdokia Achilleos, Georgios C Georgiou, and Savvas G Hatzikiriakos. On numerical simulations of polymer extrusion instabilities. Applied Rheology, 12(2):88–104, 2002.

Eleni Taliadorou, Georgios C Georgiou, and Andreas N Alexandrou. A two-dimensional numerical study of the stick–slip extrusion instability. Journal of non-newtonian fluid mechanics, 146(1-3):30–44, 2007.

Pandelitsa Panaseti and Georgios C Georgiou. Viscoplastic flow development in a channel with slip along one wall. Journal of Non-Newtonian Fluid Mechanics, 248:8– 22, 2017.

Raj P Chhabra and John Francis Richardson. Non-Newtonian flow in the process industries: fundamentals and engineering applications. Butterworth-Heinemann, 1999.

F Xu, TJ Lu, and KA Seffen. Biothermomechanical behavior of skin tissue. Acta Mechanica Sinica, 24(1):1–23, 2008.

G Vogel. Investigation of the loss in right-angled pipe branches. Mitt. Hydraulischen Instituts der Tech. Hoschul. Munchen, (1):75–90, 1926.


Refbacks

  • There are currently no refbacks.