BM_EQ_1

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Author:
ChrisC
ID:
65570
Filename:
BM_EQ_1
Updated:
2011-02-10 20:07:45
Tags:
Bio Mechanical
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Description:
Bio Mechanical Engineering
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  1. Cardiac output
    C.O. = Stroke Volume X Heart Rate
  2. Blood vessel branching
    n=VinAin/VoutAout
  3. Shear in blood flow
    • Assume laminar, steady flow
    • tau = -dp/dx*r/2
  4. Velocity in blood flow
    • Assume laminar, steady flow
    • Newtonian fluid
    • V(r) = (1/4mu)*(dp/dx)*(R^2-r^2)
  5. Poiseuille's Law
    • Assume laminar, steady flow
    • Newtonian fluid
    • dp/dx = Q(8mu/piR^4)
  6. Windkessel Analysis
    • Assume arteries are pascal chambers
    • Pressure is same throughout
    • Instantaneous change
    • Q(t) = kexp(-t/rc)+Qheart
    • P(t) = kRexp(-t/rc)+QRheart
  7. Pulse propagation
    • Distensibility (Inverse of stiffness)
    • D = 2r/Et
    • c=sqrt(Et/2rrho) (rho of the walls)
  8. Reflection at junctions
    • P = Q(rho*c/A)
    • Impedance (z)= (rho*c/A)
    • Admittance (a) = 1/z

    Pr/Pi = ao-(a1+a2)/(a0+a1+a2)

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