A New Method for Accurate Calculation of the Bingham Fluid Axial Laminar Flow Pressure Drop and Velocity Distribution in Circular Pipes.

ZHAO Shan-shan; WU Xiao-ming; LIU Yao-dong

Based on the Bingham model, the analytical calculations of axial laminar flow pressure drop in circular pipes often involve the general formula for viscous fluid, with the Bingham fluid constitutive equations introduced into the calculation to get only the analytical solution of pressure drop. A new method combining the Bingham fluid constitutive equation and the motion equation to establish the mechanical equilibrium equations was proposed, to solve the circular pipe laminar flow nonlinear equations according to the algebraic equation radical solution theory, and directly get the analytical solution of the axial laminar flow pressure drop, the velocity flow core zone radius and the flow velocity. The results show that, the direct influential factors on the Bingham fluid pipe laminar flow velocity are flow rate, plastic viscosity and yield value, and the flow core zone width is proportional to the yield value and inversely proportional to the flow velocity or the plastic viscosity. Besides, the wider the velocity flow core zone is, the lower the flow velocity in the core zone is.

BINGHAM flow; LAMINAR flow; STATIC equilibrium (Physics); PIPE; MEASUREMENT of flow velocity

Applied Mathematics & Mechanics (1000-0887), 2015, Vol 36, Issue 4, p440

1000-0887

Academic Journal

10.3879/j.issn.1000-0887.2015.04.012