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SarcasticBunny
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hey guys, can someone explain me Poiseuillie's law, because, I'm reading and reading and reading and don't understand ;(
SarcasticBunny said:hey guys, can someone explain me Poiseuillie's law, because, I'm reading and reading and reading and don't understand ;(
SarcasticBunny said:hey guys, can someone explain me Poiseuillie's law, because, I'm reading and reading and reading and don't understand ;(
Philip Wood said:Here's one way of setting about understanding Poiseuille's equation. You might like to say which step or steps are giving you trouble.
1. Understand what all the terms in the equation mean.
2. Understand what is meant by streamline flow, and that Poiseuille's equation applies only for streamline flow.
3. Understand the definition of viscosity [itex]\eta[/itex]. This is crucial.
4. Understand how to apply this definition across a cylindrical shell of fluid in the pipe.
5. Integrate the resulting equation with the boundary condition v = 0 when r = a (= tube radius) to give [itex]v = \frac{p}{4 \eta L} (a^2 - r^2)[/itex].
6. Integrate up the volume of fluid flowing per unit time through each cylindrical shell, to give the volume flowing per second through the whole pipe, that is to get Poiseuille's formula.
Poiseuille's Law is a scientific equation that describes the relationship between fluid flow, pressure, and resistance in a cylindrical tube.
Poiseuille's Law is calculated using the equation Q = (πΔP r^4)/(8ηL), where Q is the flow rate, ΔP is the pressure difference, r is the radius of the tube, η is the viscosity of the fluid, and L is the length of the tube.
Poiseuille's Law tells us that the flow rate of a fluid is directly proportional to the pressure difference and the fourth power of the radius, and inversely proportional to the viscosity and length of the tube.
Poiseuille's Law is commonly used in the study of fluid mechanics, particularly in the analysis of blood flow in the human body and the design of medical devices such as catheters and respirators.
The best way to learn Poiseuille's Law quickly is to familiarize yourself with the equation and its components, and to practice solving problems using the equation. There are also many online resources and tutorials available to help you understand the concept and its applications.