Plane non-Newtonian incompressible fluid flow in a T-shaped channel is considered. The effective viscosity is determined according to the Ostwald–de Waele law. The fluid moves under the action of the given pressure drop in the boundary sections of the channel. The no-slip condition is fulfilled on the solid walls. The problem is solved numerically by the control volume method with the use of the SIMPLE procedure. As a result of the investigation carried out, the characteristic flow regimes have been revealed. The influence of the basic parameters of the problem on the flow pattern has been demonstrated, and the dimensionless relations of flow characteristics have been constructed.
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References
V. Khandelwal, A. Dhiman, and L. Baranyi, Laminar flow of non-Newtonian shear-thinning fluids in a T-channel, Comput. Fluids, 108, 79–91 (2015).
D. Liepsch, S. Moravec, A. K. Rastogi, and N. S. Vlachos, Measurements and calculation of laminar flow in a ninety degree bifurcation, J. Biomech., 15, Issue 7, 473–485 (1982).
J. M. Khodadadi, T. M. Nguyen, and N. S. Vlachos, Laminar forced convective heat transfer in a two-dimensional 90° bifurcation, Numer. Heat Transf., 9, Issue 6, 677–695 (1986).
J. L. Grace and M. S. Priest, Division of Flow in Open Channel Junctions, Engineering Experiment Station, Alabama Polytechnic Institute, Auburn, AL (1958).
H. Shamloo and B. Pirzadeh, Investigation of characteristics of separation zones in T-junctions, WSEAS Trans. Math., 7, Issue 5, 303–312 (2008).
L. Benes, P. Louda, K. Kozel, R. Keslerova, and J. Stigler, Numerical simulations of flow through channels with T-junction, Appl. Math. Comput., 219, 7225–7235 (2013).
A. I. P. Miranda, P. J. Oliveira, and F. T. Pinho, Steady and unsteady laminar flows of Newtonian and generalized Newtonian fluids in a planar T-junction, Int. J. Numer. Methods Fluids, 57, Issue 3, 295–328 (2008).
J. M. Khodadadi, N. S. Vlachos, D. Liepsch, and S. Moravec, LDA measurements and numerical prediction of pulsatile laminar flow in a plane 90-degree bifurcation, J. Biomech. Eng., 110, Issue 2, 129–136 (1988).
J. M. Khodadadi, Wall pressure and shear stress variations in a 90-deg bifurcation during pulsatile laminar flow, J. Fluids Eng., 113, Issue 1, 111–115 (1991).
H. M. Matos and P. J. Oliveira, Steady and unsteady non-Newtonian inelastic flows in a planar T-junction, Int. J. Heat Fluid Flow, 39, 102–126 (2013).
N. Moshkin and D. Yambangwi, Steady viscous incompressible flow driven by a pressure difference in a planar T-junction channel, Int. J. Comput. Fluid Dyn., 23, Issue 3, 259–270 (2009).
B. G. Kuznetsov, N. P. Moshkin, and Sh. Smagulov, Numerical investigation of viscous incompressible liquid flow in channels of complex geometry at a given pressure, Collect. Sci. Papers of the Inst. of Theor. and Appl. Mechanics, Siberian Branch of the Academy of Sciences of USSR, 14, No. 15 (1983).
N. P. Moshkin, Numerical Simulation of Viscous Incompressible Liquid Flows with Application of Splitting Methods, Doctoral Dissertation (in Physics and Mathematics), Inst. of Comput. Technol., Siberian Branch of the Russ. Acad. Sci., Novosibirsk (2013).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 3, pp. 718–726, May–June, 2019.
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Borzenko, E.I., D’yakova, O.A. Power-Law Fluid Flow in a T-Shaped Channel Under the Action of Assigned Pressure Drop. J Eng Phys Thermophy 92, 694–702 (2019). https://doi.org/10.1007/s10891-019-01979-7
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DOI: https://doi.org/10.1007/s10891-019-01979-7