Please cite this article as: Khandelwal, V., Dhiman, A., Baranyi, L., Laminar flow of non-Newtonian shear-thinning fluids in a T-channel, Computers & Fluids (2014), doi: http://dx.Abstract Flow characteristics of non-Newtonian power-law fluids in a right-angled horizontal T-channel are studied in the laminar regime. In particular, the two-dimensional numerical computations are performed using Ansys Fluent for the following range of physical parameters: Reynolds number (Re) = 5-200 and power-law index (n) = 0.2-1 (covering shearthinning, n<1 and Newtonian, n=1 fluids). The flow fields have been explained by streamline contours. The engineering parameters such as wake/recirculation length, critical Reynolds number for the onset of flow separation and the variation of viscosity along the lower wall of side branch are calculated for the above range of settings by using constant density and nonNewtonian power-law viscosity model. The results showed that for a particular n, length of recirculation zone increases in the side branch with increasing Re. Also, it increases with decreasing n for the fixed Re. The critical Reynolds number for the onset of flow separation decreases with decreasing n. A simple wake-length correlation is also established at different values of Re and n for the range of parameters.Nomenclature D non-dimensionalizing length scale, m 2 I second invariant of the rate of deformation tensor, s -2 L d side branch length, m L r length of recirculation region, m L 1 total length in mainstream direction, m m power-law consistency index, Pa s n n power-law index N cells total number of cells in the domain P pressure, Pa Re Reynolds number t time, s U velocity along X-axis, m/s V velocity along Y-axis, m/s avg V average velocity of the fluid at inlet, m s -1 W b width of side branch, m W c width of main branch, m X d downstream length of main branch, m X u upstream length of main branch, m X coordinate in side stream direction, m Y coordinate in mainstream direction, m 3 Greek Symbols ρ density of fluid, kg m -3 δ minimum grid spacing, m ∆ maximum grid spacing, m power-law viscosity, Pa s τ extra stress tensor, Pa rate of deformation tensor, s -1
IntroductionPipe networks are widely used for transportation of liquids and gases. These networks vary from a few pipes to complex assembly of very large number of pipes. In addition to pipes, the network also consists of components causing boundary layer separation due to change in the momentum of the flow. In this work, we have concentrated our attention on a very common component of a pipe network: the T-channel. The flow of Newtonian fluids in a T-channel is characterised by two separation zones: one in the branched channel, another along the left wall of the main branch at the junction, and a stagnation point near the downstream corner of the junction (Fig. 1). A separation zone can be defined as the region of recirculating fluid with very low velocities; therefore it has a strong sediment deposition potential. Continuous sediment deposition over a period...