One-Dimensional Simulation Of The Water Hammer Phenomenon In Non-Newtonian Fluids

Unlike previous studies in Non-Newtonian fluids that use complex two-dimensional models to calculate the velocity gradient in this research one-dimensional models have been used to calculate non-residual losses that can be implemented faster And have higher execution speeds. The main objective of this research is to investigate the phenomenon of water hammer in Non-Newtonian fluids of power type (Power Law) using Brunon and Zeilke models. In order to calculate the shear stress in relation to the momentum of the Zeilke and Brunon model, and to solve the equations, the line characteristics of the nonlinear fluid solution have been used. The Brunon model is based on the assumption that the shear stress of the wall changes due to the acceleration of the acceleration, proportional to the acceleration of the fluid. Zilck's method for calculating unsteady friction coefficient presents a model based on the analytic integral of convolution. The velocity gradient in steady state is used to obtain the velocity gradient in the Zeilke model. Finally, numerical results are compared with the results of other papers to ensure the accuracy of the solution algorithm. The results of non-Newtonian fluid modeling show significant changes in pressure values. The proposed formulas, similar to the two-dimensional models, can simulate these changes. As expected in the same continuous flow conditions, the maximum pressure decreases with decreasing viscosity of the fluid. In other words, by decreasing the viscosity of the fluid, the amount of drop across the pipe path will be reduced.