Study on the settling velocity of drilling cuttings in the power law fluid

Falling ball method for determining zero shear and shear‐dependent viscosity of polymeric systems: Solutions, melts, and composites

“…In order to parallel this treatment for power-law fluids, one must know the corresponding velocity (i.e., stream function) and pressure field to evaluate the drag force on the sphere, equivalent of Equation ( 12) and the ratio of the viscous drag to the overall drag force. In spite of the fact that significant literature has accrued on this subject, [15,[20][21][22][23] much of the literature is concerned with the prediction of the total drag force experienced by a sphere in generalized Newtonian fluids, or viscoelastic fluid in the limit of creeping flow. This body of knowledge has been thoroughly reviewed by Agwu et al [24] Most of these studies either relate to high Reynolds number conditions (Re > 1) and/or are concerned with the development of empirical correlations for predicting the terminal falling velocity of a sphere of known size and density in a non-Newtonian liquid of known rheology.…”

“…Admittedly, as noted previously, this problem has attracted a lot of attention, for example, see recent works [ 20–24 ] but most of these studies relate either to the intermediate value of the Reynolds number or have not provided the values of the individual drag components or have not presented the surface average value of τ rθ or required for the application of the FBM. In order to extract this information, fresh simulations have been conducted here.…”

A Novel Prediction Model of the Drag Coefficient of Shale Cuttings in Herschel–Bulkley Fluid

“…The settling velocity of cuttings can usually be calculated according to the prediction model of the particle settling drag coefficient. The in-depth study of the settlement law of cuttings in the mud drilling fluid of horizontal wells and accurate calculation of the settlement drag coefficient is the basic work needed to understand the hole cleaning problem of horizontal wells, which can provide a basis for optimizing the rheological properties and circulation speed of drilling fluid [7,8].…”

“…Since Stokes (Stokes, 1851, C D = 24/Re s ), researchers have carried out many studies on using the C D -Re s relationship to accurately predict the drag coefficient. The Energies 2022, 15, 4496 2 of 16 drag coefficient (C D ) is defined as the ratio of viscous drag to kinetic energy acting on particles [6,7], and its expression is:…”