Flow through tubes Flashcards
Ohm’s Law
ΔP = F x R
Pouiselle’s Law
In laminar flow, pressure gradient is proportional to flow by the relationship ___.
In turbulent flow, pressure gradient is proportional to flow by the relationship ___.
In laminar flow, pressure gradient is proportional to flow by the relationship:
ΔP ∝ ΔF
In turbulent flow, pressure gradient is proportional to flow by the relationship:
ΔP ∝ ΔF2
Resistance of tubes in series vs in parallel
In series: Sum of resistances
In parallel: RT = ( 1 / R1 + 1 / R2 + 1 / R3 . . . 1 / Ri )-1
The higher Reynold’s number, . . .
. . . the more likely you are to have turbulent flow
As chronic bronchitis progresses. . .
. . . patients must utilize their accessory breathing muscles more and more to overcome the increasing resistance of their airways and support laminar air flow.
As a fluid moves along a tube, . . .
. . . the pressure of the fluid will drop due to the work it is doing to overcome the resistance of the tube.
In respiratory physiology, flow is represented by __.
In cardiovascular physiology, flow is represented by __.
In respiratory physiology, flow is represented by V.
In cardiovascular physiology, flow is represented by Q.
Characteristics of laminar flow
- All flow in the tube is parallel to the long axis of the tube (radial flow)
- Fluid traveling at the center of the tube moves more rapidly than fluid near the wall of the tube
- Pressure difference between two points is directly proportional to the flow (double the pressure difference → double the flow).
Characteristics of marginally laminar / disturbed flow / transitional flow
- Characteristics of both laminar and turbulent flow
- Flow is generally laminar but there are eddies generated at angles to the long axis of the tube, usually at branch points, changes in direction of the tube or regions of irregularity in the wall.
Turbulent flow
- Flow occurs both parallel to the long axis of the tube and perpendicular to the axis (axial flow).
- Often results in the creation of noise when the fluid hits the wall of the tube (wheezing, murmurs, bruits)
- With turbulent flow, the pressure difference between two points is proportional to the square of the flow
Reynold’s Number
Bernoulli’s Equation
Continuity Equation
viscosity
force per unit area resisting flow
Wheeze vs Murmur vs Bruit
Wheeze : respiratory
Murmur : cardiac
Bruit : vascular
The resistance of the small airways of the lung does not inhibit our ability to breathe because. . .
. . . these airways are in parallel, not in series.
Under normal circumstances the greatest resistance to airflow resides in. . .
. . . the medium sized bronchi.
Why is it good that the velocity of air in the lungs is minimized in the smallest vessels?
- This is where gas exchange takes place
- It reduces Reynold’s number, preventing turbulent flow in these tubes with narrow diameters
The lowest total cross-sectional area in the vascular system is in the ___.
The highest total is in the ___.
The lowest total cross-sectional area in the vascular system is in the aorta.
The highest total is in the capillaries.
Vacsular pressures
mean arterial pressure
the mean pressure in the aorta just after the blood exits the left ventricle
central venous pressure
pressure at the right atrium
ΔP for circulatory system
Mean arterial pressure - Central venous pressure
ΔP = flow x resistance in the circulatory system
MAP – CVP = Q x SVR
SVR = systemic vascular resistance
pulmonary vascular resistance
resistance of the pulmonary system
Bernoulli’s principle applied to pressure at different points in a continuous tube of varying diameter