1) Pavithran Ravindran explains to a group of inspiring CBE students that the Reynolds numbe is a dimensionless group defined for a fluid flowing in a pipe as Re = Dvp/µ where D = pipe diameter, v = average fluid velocity, p = fluid density, and u = fluid viscosity. When the value of the Reynolds number is less than about 2100, the flow is laminar -- the fluid flows in smooth streamlines. For Reynolds numbers above 2100, the flow is turbulent %3D a great deal of internal agitation takes place. -- Methyl ethyl ketone (MEK) flows through a 2.067-in. ID pipe at 20°C, at which temperature its density is 0.805 g/cm³ and its viscosity is 0.43 centipoise (1 centipoise = 1.00 x 10-3 kg/m.s). The average fluid velocity is 0.048 ft/s. Determine whether the flow is laminar or turbulent.

A pair of concentric glass cylinders, with diameters of 1 and 1.05 cm, respectively are held together in such a way that both annular ends are open to the flow of fluids. The pair of cylinders with its axis vertical are so placed that the open end is slightly below the surface of a reservoir of silicone oil at 25 deg. C. What is the expected height of the oil into the annular space between the cylinders? Take o=0.019 N/m and p=900 kg/m³.

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 pressure drop in a 6-in. pipe (I.D. = 6.065 in.) of length L is 1 psi with the flow in the highly turbulent region. If the same liquid flows at the same volumetric flow rate in a 3-in. pipe (I.D. = 3.068 in.) with length L, the pressure drop (psi) is:

Match each description with the most relevent (and appropriate) fluid property in the list. Intermolecular forces in the fluid that act parallel to the surface of the fluid Internal fluid resistance to motion or an applied stress A. Drag force B. Coefficient of compressibility, K resistance to deformation A force a flowing fluid exerts on a body moving through the fluid C. Surface tension, o the change in pressure corresponding to a fractional change in volume or density of a fluid while the temperature remains constant. D. Coefficient of volume expansion, B E. Viscosity, p The variation of the density of a fluid with temperature at constant pressure

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

HOMEWORK-2 Considering the steady-state laminar flow of a liquid with density p and viscosity p in a vertical tube of length L and radius R; a) Show the momentum flux and velocity profile in the figure. b) Determine the momentum flux distribution, the velocity distribution, the maximum velocity (Vzmax), and the average velocity (Vzaverage) expressions. PL L R ! Po 1111111 Flow in

What is the velocity (in cm/s) at radius r= 4.95 cm? What is the viscosity, mu (in g/(cm*s)) ?