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Chapter 5 Lecture Slides February 20, 2017

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Here are some additional notes on some stuff we will be talking about from Chapter 5; notes about film theory Film Theory , here is some info on Example 5.7 and Notes on Example 5.7 , and here is stuff regarding the derivation and solution of equation 5.35 , noteseqn5.35 . Also here are additional details on solving Equation 5.37, noteseqn5.37 .  Mass transfer in a rectangular conduit which is similar to the analysis shown in Example 5.10 for a tube of arbitrary cross section, Mass Transfer in a Parallel Plate Channel . Also here is another example that builds on Example 5.10, example5.10addition . Here is some info on the derivation of equations 5.5 and 5.49 equations5.5and5.59 . Some additional notes on Figure 5.9 Notes on Fig. 5-9 Here are some additional notes on problem 5.11 Notes Prob. 5.11 . Here is the Matlab solutions for Example 5.15, example5.15 and example5.15part2 . A figure for gas diffusion into a falling liquid film, figure-5-5

Homework Assignment #9 February 15, 2017

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Here is the link to HW#9 due on Monday, February 27th, hw9

Extra Bernoulli Examples February 14, 2017

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 Here are the problem statements and the answers for the two problems we worked in class.

  1. Two tanks are connected by 300m of 7.5 cm diameter steel pipe. One of the tanks is open to the atmosphere (tank 2) and the other tank (tank 1) is maintained at an internal pressure of P1. The diameter of each tank is quite large so that the velocities of the liquid surface in each tank is negligible. The fluid in the tanks is an oil with a viscosity of 100 cP and a density of 0.80 g cm-3. What should the pressure be in the closed tank, i.e., P1, relative to atmospheric pressure, i.e., P2, so that the flowrate of the oil from tank 1 to tank 2 is 7 kg sec-1. Express the pressure in units of mmHg. The surface of the liquid contained in tank 1 lies 9 meters below the surface of the liquid in tank 2. Answer 3063 mmHg
  2. Consider the design of a power injector that rapidly injects a bolus of imaging contrast agent into a blood vessel. The diameter of the injector barrel is 2.5 cm and this is connected to a catheter with an inside diameter of 0.98 mm and a total length of 50 cm. Calculate the pressure (PSI) inside the power injector barrel and the force (N and lbf) required to deliver a flow rate of the contrast agent of 8 cm3 per second through the catheter. The contrast agent has a viscosity of 2.5 cP and a density of 1 g cm-3. The gauge pressure in the blood vessel is equal to 8 mmHg (gauge pressure). Assume the power injector is horizontal and at the same level as the injection site on the patient’s arm. Also, you can neglect any frictional force developed between the power injector’s plunger and the barrel wall that encloses the contrast agent within the power injector. In addition, the pressure losses due to fluid motion within the barrel itself are negligible in comparison to the pressure loss within the catheter and the pressure loss due to the contraction of the fluid as it enters the catheter. This means the pressure of the contrast agent fluid within the power injector barrel is constant. Recall that gauge pressure is that pressure relative to the local atmospheric pressure. Absolute pressure is gauge pressure plus local atmospheric pressure. Answer 135 lbf

 

 

 

BIOE Alumnus Special Seminar – Success in Engineering February 14, 2017

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Please come and hear a special BIOE seminar during E-Week on Tuesday, February 21st, at 10am in the SSOE Seminar Room, NI 1027. The speaker is Shelly Nielsen, who graduated with her BS in BIOE in 2005 and recently obtained an MS in general engineering in 2015, all from UT. She works at NAMSA in Northwood, OH.  The title of her talk is Success in Engineering.

Matlab 1st Order ODE Example February 8, 2017

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47618__a-joke-by-sheldon-cooper_pHere is an example of how to solve a first order ordinary differential equation using Matlab. The function in this case is that  dy/dx = – 3 y with the boundary condition that when x = 0 then y(0) = 4. This solution is applicable to solving problem 4.7 in HW8, where in this case, think of the ODE as  dZ/dt = – A V[Z(t)]  and the initial condition is that when t = 0 then Z(0) = 1.3 m. The term A is just a constant that includes all the other variables, make sure your units are all compatible. You would solve this over the time interval from 0 (tstart = 0) to say 100 minutes (tend = 100) and note when Z = 1m which means the bag is empty. Here is the program ODE

Homework Assignment #8 February 8, 2017

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Here is Homework #8  due on Friday, February 17th; work problems 4.7,  4.31, 4.32, 4.44, 4.48, and 4.53.

Chapter 4 Stuff on Bernoulli Equation February 3, 2017

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bernoullire the Bernoulli equation, chap4bernouillistuff .

Chapter 4 Stuff January 20, 2017

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Here is a copy of the slides for some of chapter 4 on the flow of blood and other types of fluids, chap4-1 .

Corrections to Basic Transport Phenomena in BME, 3rd Edition September 11, 2015

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Here are some corrections for the textbook (updated on March 23, 2015), Errata for Basic Transport Phenomena in BME

On Pitot Tubes February 3, 2017

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  imageAt left are some photos of pitot tubes on the side of a 747 parked at Detroit Metro and one that a student’s friend, an aircraft mechanic, provided. Here’s a news story from ABC about the crash with some animation http://abcnews.go.com/Blotter/air-france-flight-447-crash-didnt-happen-expert/story?id=16717404 and an article from Scientific American http://www.scientificamerican.com/article.cfm?id=what-is-a-pitot-tube .

Homework Assignment #7 February 3, 2017

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For homework #7 work problems 4.27 and 4.47. These problems are due on February 13th. Please note that in problem 4.27 the headings for the columns of data are reversed. Also in the square root heading in the denominator the “n” is really the Greek symbol “nu” which sort of looks like this v. Make sure you prepare a real computer generated graph that compares equation 4.66 to these data.

Protected: Basic Transport Phenomena BME – Chapters 3-6 February 2, 2017

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