Flow Q
Volume of fluid passing through a vessel or airway per unit of time. L/min
Resistance (R)
opposition to flow through a vessel or airway. dyn-s-cm
COPD and Hypertension
examples of high resistance in vessels
Pressure
Force exerted by fluid per unit area w/I C&R systems. mmHG or cmH20
Ohm’s Law for Fluid Flow
Q (flow)=P (pressure)/ R (resistance)
Laminar Flow
Smooth orderly flow pattern in which fluid moves in parallel layers w/o mixing. Re <2000
Where is Laminar Flow seen
Smaller airways and blood vessels.
Turbulent Flow
Chaotic disordered flow pattern that moves irregularly. Seen in vortices and eddies. Re >2000
Reynolds Number (Re)
predicts flow patterns in different fluid flow
situations. Rπ =ππ£π/π
Compliance
Ability of a hollow organ to stretch and expand in response to pressure
C=π₯π/π₯π
Poiseuille’s Law
resistance to the flow of a fluid through a cylindrical vessel. R=(8 π πΏ)/ππ4
Caveat of Poiseuille’s Law
It was originally used to calculate flow.
F=π
ππβπ·
ππΌ L
Bernoulli’s Principle
An increase in the speed of a fluid occurs simultaneously with a decrease in pressure or potential energy of the fluid.
Drop in blood pressure across stenotic heart valves or airflow patterns in obstructive lung diseases.
Clinical Relevance of Bernoulli’s Principle
the significant impact of vessel or airway radius on resistance to the blood flow, which is crucial for understanding and treating conditions like asthma or vascular occlusions
Clinical Relevance of Poiseuille’s Law
indicates flexible vessels or lungs, while low
compliance can signify stiffness, as seen in conditions like pulmonary fibrosis or
arteriosclerosis.
Clinical Relevance of Compliance
Helps determine whether the flow is laminar or turbulent, which is crucial for diagnosing and managing cardiovascular and respiratory conditions.
Clinical Relevance of Reynolds Number
occur in large airways or major blood vessels and is often associated with pathological conditions like atherosclerosis or valvular heart disease.
Clinical Relevance of Turbulent Flow
Predominant in smaller airways and blood vessels. Disruptions to laminar flow can indicate pathology, such as turbulent flow in stenotic arteries.
Clinical Relevance of Laminar Flow
helps clinicians understand how changes in
resistance and pressure affect blood flow and can guide treatment strategies in
conditions like shock or heart failure.
Clinical Relevance of Ohm’s Law
can lead to hypertension and
strain on the heart. Increased airway resistance, as seen in asthma or COPD, makes
breathing difficult.
Clinical Relevance of Resistance
Starlings Law of the Heart
heart’s stroke volume increases in response to an increase in the
volume of blood filling the heart (the end-diastolic volume)
Essential for understanding heart function and managing conditions like heart failure, where preload and afterload must be carefully balanced.
Clinical Relevance of Starling’s Law
Mean Arterial Pressure
average pressure in a patientβs arteries during one cardiac cycle
MAP =1/3 SBP +2/3 DBP