What Is the Reynolds Number for Fluid Flow in a Tube?

In summary, the conversation discusses the calculation of the Reynolds number for a fluid with a viscosity of 9.1 x 10-4 Pa.s and density 1.1 g/cm3 flowing through a tube with an inner diameter of 10 mm and filling a 10 mL container in 29 s. The relevant equation is mentioned, and further clarification on the calculation of the hydraulic diameter and dynamic viscosity is requested.
  • #1
Chiralic
7
0

Homework Statement


Afluid with a viscosity of 9.1 x 10-4 Pa.s and density 1.1 g/cm3 flows through a tube with an inner diameter of 10 mm and fills a 10 mL container in 29 s. What is the Reynolds number for this flow?



Homework Equations


I am assuming its this equation for a tube:

N= density x V x DH/ u (mu=dynamic viscosity)




The Attempt at a Solution



Well no attempt yet. Not sure what mu is or how to calculate it in this equation, or how to calc the hydrolic diameter.
Some hints in the right direction would be appreciated. ty
 
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  • #2
You're given both numbers. The hydraulic diameter is 10 mm; the viscosity is 9.1 x 10-4 Pa.s.
 

1. What is Reynolds number calculation?

Reynolds number calculation is a dimensionless number used in fluid mechanics to determine the type of flow (laminar or turbulent) in a given system. It is calculated by dividing the product of fluid density, velocity, and characteristic length by the fluid's dynamic viscosity.

2. Why is Reynolds number important?

Reynolds number is important because it helps predict the type of flow in a system, which has implications for the efficiency and performance of various processes. It is also used to determine the drag force on an object and can assist in the design of efficient and effective fluid systems.

3. How is Reynolds number calculated?

Reynolds number is calculated using the formula: Re = (ρ * V * L) / μ, where ρ is the fluid density, V is the fluid velocity, L is the characteristic length, and μ is the fluid's dynamic viscosity. It is important to use consistent units when plugging in values to ensure accurate results.

4. What is the significance of the characteristic length in Reynolds number calculation?

The characteristic length in Reynolds number calculation is a representative length scale of the system. It can vary depending on the type of flow and geometry of the system. For example, in a pipe, the characteristic length would be the diameter, while for a cylinder, it would be the diameter or length of the object.

5. Does Reynolds number have any limitations?

Yes, Reynolds number has limitations and is not applicable to all fluid systems. It is most accurate for Newtonian fluids and is not as reliable for non-Newtonian fluids. It also assumes that the fluid is incompressible and the flow is steady and uniform. Additionally, it is only applicable to laminar and turbulent flows, not transitional flows.

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