One model of the glomerular membrane is a microporous membrane in which right cylindrical pores penetrate all the way through the membrane. Assume that the pores have a length of 50 nm and a radius of 3.5 nm. The viscosity of plasma is 0.002 Pa s. The average hydrostatic pressure in the glomerulus is 60 mm Hg, hydrostatic pressure in Bowman’s space is 20 mm Hg and the average oncotic pressure of glomerular capillary blood is 28 mm Hg. A. Calculate the flow through a single pore assuming laminar flow (use the Poiseuille flow equation). B. How many pores would there have to be to produce a normal GFR? C. If the total aggregate area of the kidneys for filtration is 1.5 m2, what is the density of the pores (number of pores per unit area) D. What fraction of the area is present as pores?

Cell culture media is flowing through a cylindrical tube at a volumetric flow rate of 12 ml/s. The tube has a diameter of 0.8 cm and length of 12cm. Assume the viscosity of the media is 1.2 cP (0.0012 Pa s). a. What is the shear rate at the wall of the tube ? b. What is the shear rate at the centerline of the tube ? c. What is the shear stress at the wall of the tube ?

fluid mechanics

Fluid Mechanics

A plate 0.05mm distance from a fixed plate moves at 1.25 m/s and required a force per unit area of 3 Pa to maintain this speed by using an oil of specific gravity 0.65. Find the dynamic viscosity in centipoise and kinematic viscosity in stokes of the fluid between the plates. Calculate the specific weight in kN/m³, density, and the specific gravity of a liquid having a volume of 662900 cm and weight of 55 kN

The company has opted to purchase a new viscometer for you, as such, you are required by topropose two options for new viscometers. Select two viscometers and explain their operation andconstraints. (P3)b. (P4) Given that you achieved the following results with a U-Tube viscometer:Temperature/ C Time / s40 5760 4180 29100 16Calculate the viscosity at each temperature if the calibration constant is 0.511.d. (M2) Illustrate the results on a graph of temperature vs viscosity and give a briefing on what yourresults indicate, identifying the response of the oil to temperature and explaining anydiscrepancies that may have occurred during the testing.e. (D2) From your testing you discovered that you had a Newtonian and Non-Newtonian sample.Explain to your team what the two terms mean with respect to temperature and shear force onboth samples, giving at least one example of each type of fluid.

Figure 0 shows the change in density of a newtonian fluid with temperature, ing/m^3.Falling spere experiments give average times of 0.2s @ 10 c and 0.23s @ 20 cUsing the equation u=K(ps-pf)tWhere K is found to be 1.34Ps=2300 kg/m3Calculate the viscosity of the fluid at 20 c and 10 c

When a chalk is broken into dust-like particles, the particles take a long time to settle down to the ground when compared to the original chalk although the density of the chalk and the viscosity of air remain the same. The reasons for this are: (i) (ii) (i) (ii) The Reynolds number is very low due to reduced length scale of the dust. The dust particle is much lighter than the chalk. The viscous force is a surface force proportional to the length square while the gravitational force is a body force proportional to the length cube. At very small length scale, length square is much larger than length cube. (iii) (A) (B) The largest animal is found in sea as it requires no energy to support its weight by using hydrostatic principle. However bird has to support its own weight by using Bernoulli principle to create pressure difference while in flight. Bird cannot be very large and there are also fewer species of large bird than small bird. The reasons are: There is less food in the air…

The kinematic viscosity of and specific gravity of a liquid are 3.5 x 10-4 m^2 /s and 0.79, respectively. What is the dynamic viscosity of the liquid in N-s/m^2?

A silicon carbide ball with 5 mm in diameter has volume based CLTE (a,) of 8.1 x106/°C. If the ball is heated from 100 to 1750°F, calculate the increase in diameter. Convert first the temperature to °C. Note: (AV/V) = (V-V.)/Vo= av AT