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Average speed in the Section
Description
A flow through a section travels with a speed that can vary over it. However, an average speed can be defined simply by considering the total flow through the section.
ID:(9479, 0)
Liquid or Gas Flow
Description
The flow of a liquid or gas corresponds to the volume of this flowing through a section in a given time.
The units in which it is measured is in unit of volume per unit of time such as in cubic meters per second or liters per minute.
ID:(9478, 0)
Simulador
Description
El siguiente simulador logra modelar lo que es el flujo de sangre por el sistema circulatorio.
Las curvas finales muestran como se distribuyen los radios, largos, numero de vasos, como va cayendo la presión desde la sístole a la dístole y el flujo que se observa si se tiene una herida según el vaso.
ID:(8018, 0)
Borders
Description
The edges of the systems affect the flow by diverting flows and if they are higher viscosity reducing the speed of this on its surface.
ID:(9482, 0)
Cylindrical Tube
Description
One type of Borders is for example a cylindrical tube of a given radius. This can be constant or vary throughout this.
ID:(9483, 0)
Hydraulic Resistance
Description
The Viscosity of a fluid causes it to resist flowing under a pressure difference. This occurs in particular in the presence of a Borders that leads to the fluid canceling its velocity on its surface.
Resistance means loss of energy that corresponds to the kinetic velocity that is lost when the fluid stops at the surface of the edges of the system.
ID:(9480, 0)
Hydraulic resistance of elements in series
Description
In the case of a sum where the elements are connected in series, the total hydraulic resistance of the system is calculated by summing the individual resistances of each element.
One way to model a tube with varying cross-section is to divide it into sections with constant radius and then sum the hydraulic resistances in series. Suppose we have a series of the hydraulic resistance in a network ($R_{hk}$), which depends on the viscosity ($\eta$), the cylinder k radio ($R_k$), and the tube k length ($\Delta L_k$) via the following equation:
| $ R_h =\displaystyle\frac{8 \eta | \Delta L | }{ \pi R ^4}$ |
In each segment, there will be a pressure difference in a network ($\Delta p_k$) with the hydraulic resistance in a network ($R_{hk}$) and the volume flow ($J_V$) to which Darcy's Law is applied:
| $ \Delta p = R_h J_V $ |
the total pressure difference ($\Delta p_t$) will be equal to the sum of the individual ERROR:10132,0:
| $ \Delta p_t =\displaystyle\sum_k \Delta p_k $ |
therefore,
$\Delta p_t=\displaystyle\sum_k \Delta p_k=\displaystyle\sum_k (R_{hk}J_V)=\left(\displaystyle\sum_k R_{hk}\right)J_V\equiv R_{st}J_V$
Thus, the system can be modeled as a single conduit with the hydraulic resistance calculated as the sum of the individual components:
| $ R_{st} =\displaystyle\sum_k R_{hk} $ |
ID:(3630, 0)
Viscosity
Description
Viscosity can be understood as the tendency of the fluid to redistribute momentum and its corresponding velocity.
In a high viscosity liquid, a high speed zone is slowed down by dragging the liquid from surrounding areas with a low speed that therefore gains speed.
In a low viscosity liquid a high speed zone is not affected mostly by lower speed zones by displacing these and continuing the flow without further speed reduction.
ID:(9481, 0)
Parallel hydraulic conductivity
Description
If we have three hydraulic resistances $R_{h1}$, $R_{h2}$, and $R_{h3}$, the series sum of the resistances will be:
 $ K_{pt} = \displaystyle\sum_k K_{hk}$
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ID:(3631, 0)