#### Poiseuille’s law equation

## What does Poiseuille’s law mean?

Definition. Poiseuille’s Law. The flow of fluids through an IV catheter can be described by Poiseuille’s Law. It states that the flow (Q) of fluid is related to a number of factors: the viscosity (n) of the fluid, the pressure gradient across the tubing (P), and the length (L) and diameter(r) of the tubing.

## What is V in Poiseuille’s formula?

The Poiseuille’s formula express the disharged streamlined volume flow through a smooth-walled circular pipe: V = π p r^{4} / 8 η l (1) where. V = discharge volume flow (m^{3}/s) p = pressure difference between the ends of the pipe (N/m^{2}, Pa)

## How is Poiseuille’s equation used in determining the relative viscosity?

As indicated by the Poiseuille equation [5.1], blood viscosity is directly related to vascular resistance and indirectly related to blood flow. Blood viscosity is a direct function of hematocrit. Thus, as hematocrit decreases with hemodilution, blood viscosity decreases, and blood flow increases.

## What are the assumption made for a fluid flow through a pipe?

The assumptions of the equation are that the fluid is incompressible and Newtonian; the flow is laminar through a pipe of constant circular cross-section that is substantially longer than its diameter; and there is no acceleration of fluid in the pipe.

## What is Laplace’s law?

: a law in physics that in medicine is applied in the physiology of blood flow: under equilibrium conditions the pressure tangent to the circumference of a vessel storing or transmitting fluid equals the product of the pressure across the wall and the radius of the vessel for a sphere and half this for a tube.

## Is laminar a flow?

Laminar flow, type of fluid (gas or liquid) flow in which the fluid travels smoothly or in regular paths, in contrast to turbulent flow, in which the fluid undergoes irregular fluctuations and mixing.

## What is the SI unit of viscosity?

Pascal-second

## What is poiseuille number?

Poiseuille number (Po) A non-dimensional number which characterizes steady, fully-developed, laminar flow of a constant-property fluid through a duct of arbitrary, but constant, cross section and defined by Access to the complete content on Oxford Reference requires a subscription or purchase.

## What is the dimensional formula of viscosity?

Therefore, viscosity is dimensionally represented as [M^{1} L^{–}^{1} T^{–}^{1}].

## Which of the following represents Hagen Poiseuille equation?

Consider stationary laminar flow in a pipe with viscosity μ, flow rate Q, average velocity U, pipe length L, pipe radius R, and pressure difference ΔP. The Hagen-Poiseuille equation is given as: Δ P = − 8 μL R 2 U or Δ P = − 8 μL π R 4 Q .

## How do you calculate fluid resistance?

of pressure conditions. *S = 1.0 for water at 80°F. **V = 1.0 for water at 80°F.How to Calculate Flow Resistance for Liquids.

d | = | orifice diameter (inches) |
---|---|---|

C_{d} |
= | coefficient of discharge |

C_{v} |
= | flow coefficient |

## How do you calculate hydraulic resistance?

Hydraulic Resistancewhere is the Moody friction factor (4 times the Fanning friction factor – see Friction Factor), 1 and D_{H} = 4S/P are the length and the hydraulic diameter of the channel, ρ is the fluid density, and u is the mean velocity of flow.We can see from Eq. (

## How does flow rate depend on pipe diameter?

In general, the flow rate increases proportional to the square of the inside diameter, hence the flow rate is directly proportional to the area of pipe cross-section. The larger the diameter, the greater flow.

## What is the default value of pipe length?

Pipe geometrical length. The default value is 5 m. This parameter represents total equivalent length of all local resistances associated with the pipe.