The error is thus? On this level as well…. Since it is dilute we can assume what? And flux is what? = initially and grows because gets smaller(t)… So… How long to reach steady state?Ģ3 Problem 6.6 Mole fraction: 100 parts/million = 100e-6 = 1e-4 Since it is dilute we can assume what? And flux is what? =?Ģ2 Problem 6.6 Mole fraction: 100 parts/million = 100e-6 = 1e-4 The error is thus? On this level as well….ġ9 Problem 6.6 Mole fraction: 100 parts/million = 100e-6 = 1e-4 Average breath is 5 seconds.ġ7 Problem 6.6 Mole fraction: 100 parts/million = 100e-6 = 1e-4ġ8 Problem 6.6 Mole fraction: 100 parts/million = 100e-6 = 1e-4 so Timess = 1.25e-4 s Gas concentration in blood is = 0. Radius of alveolus = 50 um = 1e-2 cm Diffusivity = 0.2 cm2/s. 1-xi = So… Time to reach steady state is R2/Dij. Gas is added at a mole fraction of The maximum level of error in the flux is also on this level. Pa*s a>b a 4.75E-08 m L a radius 2.38E-08 D 9.00E-09 b r 4.50E-09 b radius a/b 5.28E+00 fbar num 3.91E-10 fbar denom 6.13E+00 fbar 1.73E-10 1.67E-10 2.37E-07 2.47E-07 cm^2/s D table 6.4 2.00E-07 Error% 18.69 % 23.44ġ3 Skip Problem 6.5: Diffusion through a funnel Not intellectually stimulatingġ4 Problem 6.6 NO = potent vasodilator for treating newborns who have pulmonary hypertension Examine transport of gas through an aveolus and into the capillaries. Problem 6.4 (compare to table 6.4) Note that Table 6.4 should be 2x10-7 cm2/s not positive 7… Fibrinogen x9 nm Estimate D if A) a prolate ellipsoid B) a cylindrical rod □.□. They know D1 (6.8e-7 cm2/s) and R1 (3 nm) □= □ □ □ 6ᴫμ□ □ 1 □ 2 = □ □ □ 6ᴫμ □ □ □ □ 6ᴫμ □ so D2=1.7e-7 cm2/sħ Problem 6.3 MatLab: Using recursion relations: □ □ = □ □−1 + □Ĩ Matlab “RandomWalk.m” Create a program that you can input either or with any number of steps and have it calculate the error% for each run up to a specified value…ĩ Problem 6.4 Fibrinogen Estimate D if A) a prolate ellipsoidġ1 Problem 6. Solution: use Eqn.ģ t = 49.5 h x = 4 x 10-3 m Cx = 0.35 wt% Cs = 1.0 wt% Co = 0.20 wt%Ĥ Problem 6.1 Compare Ds… where T=298K, Diameter = nm For oxygen the partial molar volume is 25.6 cm^3/mol. If after 49.5 h the concentration of carbon is 0.35 wt% at a position 4.0 mm below the surface, determine the temperature at which the treatment was carried out. Sample Problem: An FCC iron-carbon alloy initially containing 0.20 wt% C is carburized at an elevated temperature and in an atmosphere that gives a surface carbon concentration constant at 1.0 wt%. Bishop Assistant Professor of Biomedical Engineering Principal Investigator of the Pharmacoengineering Laboratory: Dwight Look College of Engineering Texas A&M University Emerging Technologies Building Room 5016 College Station, TX Which was Tesla’s favorite number? © Prof. Mass Transport in Biological Systems Text Book: Transport Phenomena in Biological Systems Authors: Truskey, Yuan, Katz Focus on what is presented in class and problems… Dr. Mass Transport in Biological SystemsīMOLE Biomolecular Engineering Engineering in the Life Sciences Era BMOLE – Transport Chapter 6.
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