Flow rate relation? (velocity distribution in pipe flow)

Thread starter jinro
Start date Oct 24, 2010
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Distribution Flow Flow rate Pipe Pipe flow Rate Relation

In summary, the flow rate and velocity distribution in pipe flow are directly related, with an increase or decrease in one resulting in a corresponding change in the other. The diameter of the pipe also plays a role, with a larger diameter leading to a higher flow rate and lower velocity distribution. The Reynolds number is a key factor in determining the type of flow, with a higher number indicating a more uniform velocity distribution and higher flow rate. Fluid viscosity and the roughness of the pipe's inner surface also impact the flow rate and velocity distribution, with more viscous fluids and rough surfaces resulting in lower flow rates and more uniform velocity distributions.

Oct 24, 2010

jinro

i have this question which asks me to find the average flow velocity in a pipe, BUT based on flow rate relation and not statistical average

what is the flowrate relation?

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Oct 24, 2010

boneh3ad

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So what other information do they give you?

1. What is the relationship between flow rate and velocity distribution in pipe flow?

The flow rate and velocity distribution in pipe flow are directly related. This means that as the flow rate increases, the velocity distribution also increases. Similarly, as the flow rate decreases, the velocity distribution decreases. This is due to the conservation of mass principle, which states that the mass of fluid flowing into a pipe must be equal to the mass of fluid flowing out.

2. How does the diameter of the pipe affect the flow rate and velocity distribution?

The diameter of the pipe has a significant impact on the flow rate and velocity distribution. As the diameter increases, the flow rate also increases while the velocity distribution decreases. This is because a larger pipe allows for more fluid to flow through, resulting in a higher flow rate with a lower velocity.

3. What is the significance of the Reynolds number in flow rate and velocity distribution?

The Reynolds number is a dimensionless quantity that is used to predict whether a flow is laminar or turbulent. In pipe flow, a higher Reynolds number indicates a turbulent flow, which results in a more uniform velocity distribution and a higher flow rate compared to a laminar flow with a lower Reynolds number.

4. How does fluid viscosity affect the flow rate and velocity distribution in pipe flow?

Fluid viscosity plays a crucial role in determining the flow rate and velocity distribution in pipe flow. A more viscous fluid experiences greater resistance to flow, resulting in a lower flow rate and a more uniform velocity distribution. In contrast, a less viscous fluid flows more easily, leading to a higher flow rate and a less uniform velocity distribution.

5. How does the roughness of the pipe's inner surface impact the flow rate and velocity distribution?

The roughness of the pipe's inner surface can significantly affect the flow rate and velocity distribution. A rougher surface causes more friction, which results in a lower flow rate and a more uniform velocity distribution. In contrast, a smoother surface experiences less friction, leading to a higher flow rate and a less uniform velocity distribution.