Calculate the reservoir volume filtered in an affinity absorption system plasma filtrate flows through a tube of 0.5 mm diameter at a 2 mL/min velocity • Assume the immunoglobulin distribution volume to be 0.02 mg/mL
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- Merrill et al. (1965) in a series of classic experiments studied the flow of blood in capillary tubes of various diameters. The blood had a hematocrit of 39.3 and the temperature was 20°C. They measured the pressure drop as a function of the flow rate for five tube diameters ranging from 288 to 850 μm. When they expressed the measured pressure drops in terms of the wall shear stress, and the volumetric flow rates in terms of the reduced average velocity, all of the data for the various tube sizes formed, within the experimental accuracy, a single line as predicted by the Rabinowitsch equation expressed in terms of reduced average velocity. From their results they provide the following values of the Casson parameters at 20°C: τy = 0.0289 dynes cm−2 and s = 0.229 (dynes s cm−2)1/2. Using these values for τy and s, show that the equation below for reduced average velocity provides an excellent fit to their data summarized in the following table. (Wall shear stress) τw , dynes cm-2…Water at a temperature of 35 °C is flowing steadily in a 2.5 mm diameter, 15-meter long tube at an average velocity of 0.60 m/sec. The cross-section is circular and the material is perfectly smooth. The flow can be considered fully developed. Find the following quantities:a. The Reynolds number. State whether the flow is expected to be laminar or turbulent. (Check your math if you get a Reynolds number in the turbulent range.)b. The Darcy friction factor, ?.c. The pressure drop over the length of the tubing, Δ?, and the corresponding head loss, ℎ?.Draw a diagram to explain what it means: flow separation, the mechanism by which fluid separation occurs, and give examples of how to delay separation and its effect on resistance
- A cylinder 1 inch in diameter is placed in a hot water pipe at right angles to the direction of theflow. The fluid and cylinder temperatures are at 80 °F and 100 °F respectively. Calculate thevalue of the film coefficient for a mass flow of 2705 lb/hr.Calculate the pressure drop of starfruit juice drink that flows with a velocity of 1.5 m/sthrough 1.2 m of horizontal sanitary stainless steel tubing with 9 mm inner diameter. Thedensity and viscosity of starfruit juice drink are 2300 kg m -3 and 0.8 x 10 -3 kg m -1 s -1 ,respectively. Calculate the energy losses due to the friction. Use the Moody diagram tosolve this problem.Helium at 25°C and 110 kPa (absolute) flows into a copper tube (1-1/4-standard, type M) that is 10 m long. Is the flow fully developed at tube end if the helium mass flow rate is 0.02 kg/s? Ethyl alcohol flows into a 6 cm ID pipe through a well-rounded entrance. After 20 cm of pipe length, measurements taken in the pipe show that the flow is fully developed. Determine the volume flow rate in the pipe, assuming laminar flow exists.
- Water at 70oC is passed through a polyethylene membrane of 25% porosity with an average pore diameter of 0.3 µm and an average tortuosity of 1.3. The pressures on the downstream and upstream sides of the membrane are 125 and 500 kPa, respectively. Estimate the flux of water in m3/m2-day.Water at a temperature of 35 °C is flowing steadily in a 2.5 mm diameter, 15-meter long tube at an average velocity of 0.60 m/sec. The cross-section is circular and the material is perfectly smooth. The flow can be considered fully developed. Find the pressure drop over the length of the tubing, Δ?Air at 3.4 atm abs and 15°C is flowing in a steel pipe whose ID is 75-mm. The flow rate is kept at 0.5 m^3/s. Assuming the flow is isothermal, what is pressure 70m down the line? The viscosity of air at the conditions is 0.0174 cP.
- Pure milk at 293 K has a density of 1030 kg / m3 and a viscosity of 2.12 cp flowing at a rate of 2,605 kg / s in a pipe having a diameter of 100 mm. a. Calculate the Reynolds number. = Answer . b. Is the flow turbulent No, yes . c. The flow rate required for Reynold's number 2100 is = Answer m / s.Frictional Pressure Drop in Flow of Olive Oil. Problem:Calculate the frictional pressure drop in pascal for olive oil at 293 K flowing through a commercial pipe having an inside diameter of 0.0525m and a length of 76.2m. The velocity of the fluid is 1.22m/s. Use the friction factor method. Is the flow laminar or turbulent?Pure milk at 293 K has a density of 1030 kg / m3 and a viscosity of 2.12 cp flowing at a rate of 1,605 kg / s in a pipe having a diameter of 70 mm. a. Calculate the Reynolds number. = Answer. b. Is the flow turbulent No, yes.c. The required flow rate for the Reynold 2500 is = Answerm / s.