Q =delta P/R or R = delta P/Q or delta P = QR
delta P = Pressure difference between two ends of a vessel
R = resistance
Q = flow
B. PoiseuilleÕs Law:
Q = delta Pn r4/8nL or R = 8nL/nr4
Q = Flow
R = Resistance
n = viscosity
r = radius of vessel
L = length of vessel
P = pressure difference between two ends of a vessel
C. ReynoldsÕ Number:
N = Vdp/n
V = mean velocity
d = tube diameter
p = fluid density
n = viscosity
D. LaplaceÕs Law:
(1) for blood vessels: T = Pr
(2) for cardiac chambers: T = Pr/2h
T = tension in the vessel wall (force per unit length tangential to the vessel wall)
P = tranmural pressure
r = radius of the vessel or of the cardiac chamber
h = chamber wall thickness
Case Studies