A prankster, as shown in Figure I, has added oil, of specific gravity SG., to the left leg of the manometer at the right. Nevertheless, the U-tube is still to be used to measure the pressure in the air tank. (a) Find an expression for h as a function of H and other parameters in the problem. (b) Find the special case of your result when Ptank = Pa (c) Suppose H=5 cm, Pa = 101.2 kPa, SG = 0.85, and Ptank is 1.82 kPa higher than pi. Calculate h in cm, ignoring surface tension and air density effects. oil pa water Air tank: Prank

Suppose that in a coating process a solid sheet immersed in a liquid is pulled steadily at velocity U through a slot in a die, as shown in the figure. The die dimensions are such that there is a liquid gap of thickness H on each side of the sheet. Far downstream from the die the coating has a final thickness H... The pressure in the upstream liquid is ambient (P = Po) and gravitational and surface tension effects are negligible. The die length is L and the system width is W. The liquid is Newtonian and Re is such that the flow is laminar. Liquid P = Po X Die Liquid Solid Sheet Liquid Die H Gas P = Po Width = W Hoo U (a) Assuming fully developed flow, determine vx(y) for the liquid in the upper gap. Be sure to use the coordinates shown. (b) Determine the force required to pull the sheet through the die. You may assume that the shear force on the sheet in the upstream liquid (x < 0) is negligible. (c) Assuming that H is given, determine H...

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.

Help with the following question. Please answer all parts of the question

The atmospheric lapse rate on a particular day is constant in the lower part of the atmosphere. At ground level, the pressure is 1020 mBar and the temperature is 15°C. At a height z1 the pressure and temperature are 975 mBar and 11.5 °C. Determine the atmospheric temperature gradient, and the height z1.  

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…

True or false: Osmotic pressure can be explained by the difference in fugacities

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:

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