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General Characteristics of Pipe Flow II

General Characteristics of Pipe Flow II

When fluid enters a pipe, it first passes through the entrance region, where the velocity profile adjusts due to viscous effects. In this region, a boundary layer forms along the pipe walls and grows until it fully occupies the pipe's cross-section. Once the boundary layer merges, the flow becomes fully developed, with a steady velocity profile that remains consistent along the pipe's length.
The distance to reach a fully developed flow is called the entrance length and depends on the flow...

General Characteristics of Pipe Flow I

General Characteristics of Pipe Flow I

Pipe flow refers to the movement of fluids within fully enclosed conduits, typically cylindrical in shape, such as water pipes or hydraulic hoses. These conduits are designed to withstand high-pressure gradients that drive fluid movement, contrasting with open-channel flows, where gravity is the primary driving force. Rectangular conduits, like air conditioning and heating ducts, generally operate at lower pressures and are less suited for high-pressure applications.
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Steady, Laminar Flow in Circular Tubes

Steady, Laminar Flow in Circular Tubes

Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...

Turbulent Flow

Turbulent Flow

Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent spots,...

Gradually Varying Flow

Gradually Varying Flow

Gradually varying flow (GVF) in open channels describes situations where water depth changes slowly along the channel due to factors like non-uniform bed slope, channel shape variations, or obstructions. This flow type occurs when the depth adjusts gradually to balance gravitational forces, shear forces, and energy requirements, resulting in a low rate of depth change.Characteristics of Gradually Varying FlowGVF is commonly observed in natural streams, rivers, and canals, where flow depth...

Steady, Laminar Flow Between Parallel Plates

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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.

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Related Experiment Video

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Published on: December 4, 2017

Stochastic transitions and jamming in granular pipe flow.

Samuel Brand¹, Robin C Ball, Mario Nicodemi

¹Department of Physics and Complexity Science Centre, University of Warwick, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 27, 2011

Summary

Computer simulations reveal distinct flow regimes in granular suspensions. At high concentrations, granular materials can either maintain disordered flow or self-organize into ordered layers, impacting their flow behavior.

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Area of Science:

Fluid Dynamics
Materials Science
Computational Physics

Background:

Granular suspensions are complex systems exhibiting diverse flow behaviors.
Understanding their rheology is crucial for various industrial applications.

Purpose of the Study:

To characterize flow regimes in a model granular suspension.
To investigate the transitions between disordered and ordered flow states.
To analyze the constitutive relations governing granular flow.

Main Methods:

Computer simulations of a granular suspension driven down a channel.
Analysis of system flow regimes and stochastic transition dynamics.
Characterization of shear-stress constitutive relations.

Main Results:

Disordered flow with Ostwald-de Waele power-law behavior observed below a packing fraction threshold (ϕm).
Above ϕm, two states emerge: persistent disordered flow or self-organized ordered flow with parallel layers.
Ordered flow breaks the Ostwald-de Waele relation, forming a central plug and boundary shear regions.
A jamming transition occurs above a higher threshold (ϕg) if ordering is suppressed.

Conclusions:

Packing fraction dictates the flow regime of granular suspensions.
Self-organization into ordered layers represents a distinct flow state with altered rheology.
The study provides insights into the complex rheological transitions and jamming phenomena in granular materials.