Numerical study and validation of non-Newtonian fluid hammer in circular pipes
Tainan Gabardo Miranda dos Santos1; Gabriel Merhy de Oliveira1; Cezar Otaviano Ribeiro Negrão1
1 UTFPR
doi:10.20906/CPS/COB-2015-2501
Resumo
This study investigates the water hammer theory on non-Newtonian fluids through numerical simulation. The effect of sudden valve closure on the flow dynamics of Power-Law fluids in circular pipes is studied. The model is unidimensional, but the local axial velocity is radius dependent. The flow is laminar, weakly compressible and isothermal. The mass conservation, momentum balance, state and constitutive equation are iteratively solved using the finite volumes method. First order Upwind Scheme is used to approximate nonlinear terms. Implicit Time Integration is used to approximate temporal terms. Present results are compared to the experimental data of a Newtonian fluid and to the Power-Law results of the model of Wahba (2013). Those comparisons show good agreement and demonstrate the importance of shear-thinning and shear-thickening in transient behavior.
Palavras-chave: Unsteady pipe flow; Power law model; Fluid transients