# Viscosity constant of a cylinder

• rayman123
In summary, the viscosity constant of a cylinder is a measure of the internal friction between layers of a fluid as it flows through a cylindrical object. It is calculated using the Poiseuille's law formula and is affected by the dimensions of the cylinder, the viscosity of the fluid, and the flow rate. This property is important in understanding fluid behavior in cylindrical objects and has various engineering applications. It differs from the viscosity of a fluid as it takes into account the effect of the cylindrical object on the fluid flow.

## Homework Statement

Does something like a viscosity constant of a cylinder exist? We are talking about an empty barrel rolling on a horisontal plane and the air friction.
On the classes we got something like this
$$c= 1.76h\cdot r$$ where h is the barrel's height and r is the radius. How to find that formula? are there any tables for this? where did they get 1.76 from?

Thanks

## The Attempt at a Solution

Does anyone know what c stands for in this post?

## 1. What is the viscosity constant of a cylinder?

The viscosity constant of a cylinder is a measure of the internal friction between layers of a fluid as it flows through a cylindrical object. It is also known as the Poiseuille's law constant or the Hagen-Poiseuille constant.

## 2. How is the viscosity constant of a cylinder calculated?

The viscosity constant of a cylinder is calculated using the Poiseuille's law formula, which takes into account the dimensions of the cylinder, the viscosity of the fluid, and the flow rate. It can also be calculated experimentally by measuring the pressure drop across the cylinder at different flow rates.

## 3. What factors affect the viscosity constant of a cylinder?

The viscosity constant of a cylinder is affected by the dimensions of the cylinder, the viscosity of the fluid, and the flow rate. It is also influenced by the temperature and the surface roughness of the cylinder.

## 4. Why is the viscosity constant of a cylinder important?

The viscosity constant of a cylinder is important because it helps us understand the behavior of fluids in cylindrical objects, such as pipes and tubes. It is also used in various engineering applications, such as in the design of hydraulic systems and the calculation of blood flow in the human body.

## 5. How does the viscosity constant of a cylinder differ from the viscosity of a fluid?

The viscosity constant of a cylinder is a property of both the fluid and the cylindrical object, whereas the viscosity of a fluid is a property of the fluid itself. The viscosity constant takes into account the effect of the cylindrical object on the flow of the fluid, while the viscosity only considers the internal friction of the fluid.