MATLAB Session for CURIE Summer 2011. You Will do This for Unblocked and Blocked Devices Need to find inlet pressure to input into MATLAB program.

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Presentation transcript:

MATLAB Session for CURIE Summer 2011

You Will do This for Unblocked and Blocked Devices Need to find inlet pressure to input into MATLAB program

First: Find R T μ = Viscosity = 0.89cp =0.0089g/cm-s = g/um-s = kg/mm-s MATLAB program wants these units

Find R T by Finding Effective Resistance of Network Find Total Resistance by first finding resistance of each channel THEN simplifying circuit to one equivalent resistor THEN, using Ohm’s Law, find ∆P THEN, from ∆P, Find P in ∆P = P in - P out

Individual Resistances: Watch Units! Channel NumberWidth (um)Height (um)Length(um)Resistance MATLAB wants pressures in units of Pascals: 1 Pa = 1 kg/m-s^2 = 1 kg/mm-s^2

D,E,F in series so R = R D +R E +R F B in parallel with B (B in parallel with B), in series with C Unblocked

Circuit Simplification We see that 3 resistances are in parallel: brown, blue, and brown: R combo = 1/ [(1/brown)+(1/blue)+(1/brown)] Then we see we have four resistances in series: red, green, R combo, and red R T =.96 kg/mm^4-s

Find ∆P V=IR ∆P = QR T Q = 2uL/min (or what you set it to in lab) Q = (2uL/min)*(mm 3 /uL)*(1min/60s) = mm 3 /s ∆P = (.0333 mm 3 /s)*(.96 kg/mm 4 -s) = kg/mm-s 2 ( kg/mm-s 2 )*(1000mm/1m) = 31.97kg/(m-s 2 ) 31.97kg/(m-s 2 )*(1 N/(kg-m/s 2 )) = 31.97N/m 2 = 31.97Pa ∆P = Pa

Find P in ∆P = P in – P out P in = ∆P + P out P out is =? Outlet tubing connected to atmosphere so…

Pressure cont. P out = P atm = 14.7 psi = 760 mmHg = Pa P in = = Pa = Pa

MATLAB: Label Nodes N1 N2 N3 N4 N6 N8 N9 N7 N5 Number of elements? 11

MATLAB cont. Modify example “data.txt” with this network (different nodes, channel widths, channel lengths) Run program

Check: V=IR ∆P = QR T R T = ∆P / Q Should be same as what you obtained through circuit simplification!

Blocked Channel Blocked channel corresponds to open circuit (that element removed from circuit)

With open circuit element removed: D,E,F in series so R1 = R D +R E +R F B,F,E,D in series so R2 = R B +R D +R E +R F C in parallel with R2

Need to simplify your blocked device… Same procedure as for unblocked device Is the resistance higher or lower or same?

Questions? What does this lab tell you about the blood pressure inside someone with constricted or blocked blood vessels? Is the analogy perfect?