1. Assuming Stokes flow, find the settling velocity for a 100 micron diameter particle falling through water at 20 °C. The particle has density 1.75 g/cm³. What is the Reynolds number? Note: For spherical particles, Farag = Fstokes = -6лμаU

Help with the following question.

2C.4 Falling-cylinder viscometer (see Fig. 2C.4). A falling-cylinder viscometer consists of a long vertical cylindrical container (radius R), capped at both ends, with a solid cylindrical slug (ra- dius KR). The slug is equipped with fins so that its axis is coincident with that of the tube. One can observe the rate of descent of the slug in the cylindrical container when the lat- ter is filled with fluid. Find an equation that gives the viscosity of the fluid in terms of the ter- minal velocity of the slug and the various geometric quantities shown in the figure. Cylindrical slug descends- with speed t -XR- Cylindrical container filled with fluid Fig. 2C.4 A falling-cylinder viscom- eter with a tightly fitting solid cylin- der moving vertically. The cylinder is usually equipped with fins to maintain centering within the tube. The fluid completely fills the tube, and the top and bottom are closed. (a) Show that the velocity distribution in the annular slit is given by (1-)-(1+¹) In…

Problem 3: A model equation for chemical reactive flow in a one-dimensional reactor is given as ac ac +u. ôt dx :DOC-KC, where C is the dimensionless concentration of the species, u is the velocity, D is a diffusion coefficient, k is a reaction rate, and x,t are the distance from the reactor and time, respectively. (3a) Determine the dimensions of D, k;

the question to be answered in 2 nd image

2.10 Starting with the force balance on a single particle at terminal velocity, show that: CD 4 8x Pp-Pf 3 U² Pf where the symbols have their usual meaning.

Experiments conducted for a dilute system under laboratory conditions approximating plug flow give HTUOx= 3 ft. If a commercial column is to be designed for NTUOx = 4, with NPex and NPey estimated to be 19 and 50, respectively, determine the necessary column height if E = 0.5.

plz answer both 2 questions

a) (i) What are a Newtonian fluid and a -Newtonian fluid? Classify pendent non-Newtonian fluids and illustrate - flow time- behaviours in a diagram g. shear stress vs. shear (ii) across a flat plate and the s with the aid of a schematic diagram. Explain boundary concept for a flow

What do you mean by volumetric flow rate?