# Fully Developed Turbulent Channel Flow

• narbij
In summary, Fully Developed Turbulent Channel Flow is a type of fluid flow that occurs in a channel where the fluid is fully turbulent and has reached a steady state. It is different from laminar flow in that the fluid particles move in a chaotic and random manner, resulting in high levels of mixing and energy dissipation. The development of turbulence in channel flow is affected by factors such as fluid properties, channel geometry, and flow rate. Turbulence can be measured using various techniques, and studying it has practical applications in engineering design, industrial processes, and developing models and simulations for flow behavior prediction and control.
narbij

## Homework Statement

Hey everyone I was wondering if you could help me - is there any known derivation for the volumetric flow rate through a fully developed turbulent channel flow, I've been looking for ages and can't find anything only for laminar flow.

nar

## The Attempt at a Solution

Is there an equation that relates the friction factor to the change in pressure or head loss for a closed channel flow - I am aware there exists equations that exits for open channel flow

Hello Nar,

Thank you for reaching out for help with your question. The derivation for the volumetric flow rate through a fully developed turbulent channel flow is a complex and ongoing area of research in fluid mechanics. While there is no single widely accepted derivation for this specific case, there are several models and approaches that have been developed and used in various studies.

One approach is to use the Reynolds-averaged Navier-Stokes (RANS) equations, which are a set of equations that describe the average behavior of turbulent flow. These equations can be solved numerically to obtain the volumetric flow rate through a fully developed turbulent channel flow. Another approach is to use direct numerical simulation (DNS), which is a method of solving the Navier-Stokes equations directly without any turbulence modeling. This approach can also provide accurate results, but it is computationally expensive and may not be feasible for all cases.

It's also worth noting that the volumetric flow rate through a fully developed turbulent channel flow is highly dependent on the specific conditions and geometry of the channel. Therefore, it is common to use experimental data to validate and improve upon theoretical models.

## 1. What is Fully Developed Turbulent Channel Flow?

Fully Developed Turbulent Channel Flow is a type of fluid flow that occurs in a channel where the fluid is fully turbulent and has reached a steady state. This means that the fluid velocity, pressure, and other flow properties are constant in both space and time. It is commonly seen in engineering applications such as pipes and ducts.

## 2. How is Fully Developed Turbulent Channel Flow different from laminar flow?

The main difference between Fully Developed Turbulent Channel Flow and laminar flow is the level of fluid turbulence. In laminar flow, the fluid particles move in an orderly manner in parallel layers, while in Fully Developed Turbulent Channel Flow, the fluid particles move in a chaotic and random manner, resulting in high levels of mixing and energy dissipation.

## 3. What factors affect the development of turbulence in channel flow?

The main factors that affect the development of turbulence in channel flow are the fluid properties (such as viscosity and density), the channel geometry, and the flow rate. Higher flow rates and lower viscosity fluids tend to promote the development of turbulence, while smoother channel walls and low flow rates can help to reduce turbulence.

## 4. How is turbulence in channel flow measured?

Turbulence in channel flow can be measured using various techniques, such as hot-wire anemometry, laser Doppler velocimetry, and particle image velocimetry. These methods use specialized equipment to measure the velocity fluctuations and other flow properties in different locations within the channel, providing a detailed understanding of the turbulence characteristics.

## 5. What are the practical applications of studying Fully Developed Turbulent Channel Flow?

The study of Fully Developed Turbulent Channel Flow has many practical applications in engineering, such as in the design of pipes and ducts for efficient fluid transport. It is also crucial in understanding the behavior of fluids in various industrial processes, such as mixing and heat transfer. Additionally, the study of turbulence in channel flow is important for developing models and simulations to predict and control flow behavior in real-world scenarios.

• Engineering and Comp Sci Homework Help
Replies
3
Views
1K
• Engineering and Comp Sci Homework Help
Replies
3
Views
1K
• Engineering and Comp Sci Homework Help
Replies
1
Views
4K
• Mechanical Engineering
Replies
3
Views
1K
• Engineering and Comp Sci Homework Help
Replies
39
Views
3K
• Engineering and Comp Sci Homework Help
Replies
9
Views
2K
• Engineering and Comp Sci Homework Help
Replies
1
Views
2K
• Engineering and Comp Sci Homework Help
Replies
1
Views
1K
• Engineering and Comp Sci Homework Help
Replies
4
Views
1K
• Engineering and Comp Sci Homework Help
Replies
5
Views
6K