Turbulent Lubrication Flow in an Annular Channel

Abstract

An analytical and experimental study is presented of the lubrication flow in an annular channel with a moving core. Velocity profiles and wall friction were determined over a Reynolds number range up to 3 × 104 and radius ratios of 0.6 and 0.85. The experimental results are shown to be in good agreement with the predictions of a three-layer gradient-diffusion model.

Effects of Guide Vane Placement Angle on Hydraulic Characteristics of Flow Field and Optimal Design of Hydraulic Capsule Pipelines

“…Agarwal [18] and Vlasak [19] used dimensional analysis to analyze the effects of different physical factors on the capsule speeds. Yanaida et al [20] and Azouz et al [21] supplemented Polderman et al's [11] research findings. They highlighted the turbulence vortex viscosity models to predict the hydraulic characteristics of the annular slit flow formed by a Newtonian fluid, non-Newtonian fluid, and drag-reducing fluid under a moving boundary, which further perfected the correlative theories of the annular slit flow.…”

“…Substituting Equation (11) into Equation (10) to obtain the average axial velocity of the annular slit flow. This average axial velocity can be expressed as…”

“…The mathematical models of the turbulent flow in an annular slit areas were first established by Kroonenberg [10], who analyzed the hydraulic characteristics of the annular slit flow including velocity distributions, pressure distributions, and boundary shear forces. Polderman et al [11] explored the hydraulic characteristics for the lubricating fluid in the annular slit areas when the single cylindrical capsule was moving within the pipelines, and compared three-layer gradient diffusion models with the experimental results. Chow [12] and Sud et al [13] extended Kroonenberg's [10] studies.…”

Hydraulic Characteristics of Transporting a Piped Carriage in a Horizontal Pipe Based on the Bidirectional Fluid-Structure Interaction

“…Since the mid-1990s, researchers broadened the research range of the fluid density, added to new application areas of HCPs technologies. The mathematical models of both the lubricating fluid and the Bingham fluid flowing in the concentric annular slit space with an axially moving capsule were established by Polderman et al [32] and Huang et al [33].…”

“…Mathematical Problems in Engineering cost of the pipe, the cost of the piped carriage and the cost of power. It can be written as follows: = + + (32) where R t was the total cost of HCPs; R a was the cost of the pipeline; R b was the cost of the piped carriage; R p was the cost of power.…”