An air–fuel mixture is compressed by a piston in a cylinder of an internal combustion engine. The origin of coordinate y is at the top of the cylinder, and y points straight down as shown. The piston is assumed to move up at constant speed VP. The distance L between the top of the cylinder and the piston decreases with time according to the linear approximation L = Lbottom − VPt, where Lbottom is the location of the piston when it is at the bottom of its cycle at time t = 0, as sketched in Fig. At t = 0, the density of the air–fuel mixture in the cylinder is everywhere equal to ?(0). Estimate the density of the air–fuel mixture as a function of time and the given parameters during the piston’s up stroke.

A tank having a volume of 0.85 m3 initially contains water at 260 oF and x = 0.7.  Saturated vapor is slowly withdrawn at the top of the tank as energy is transferred by heat to maintain constant pressure.  The process continues until the tank is filled with just saturated vapor.  Determine the heat transferred in kJ.  Show all your calculations.

In a wastewater treatment plant, Blower supplies air to the sequencing batch reactor. It is necessary to regulate the amount of air being introduced to the reactor and the plant uses pitot static tube meter at the center of flow to measure the maximum flow rate. The manometer shows a difference in head of 75mm.H2O. Determine the maximum air velocity (in m/s, four decimal places). Assume the coefficient of the pitot tube as 0.98. ρair = 1.2 kg/m3, ρwater =1000 kg/m3

Calculate the temperature of 0.39 mole of Xenon gas that occupies 9850 millimeters under a pressure of 631 torr.

Fluid Mechanics / Static Fluid Choose the correct answer   Dynamic Viscosity of air ?         d. Decrease with temperature       f. Both b and d       a. 1000*lower than the Dynamic Viscosity of water       c. Increase with temperature       e. Both c and d       b. 1000*higher than the Dynamic Viscosity of water

The micromanometer (as shown in the figure) is used to increase the accuracy when measuring small pressure di§erences. Two immiscible liquids (meaning they remain in separate layers when put together in the same container ñ they do not mix) having densities 1 and 2 are used in thismanometer. Flasks A and B contain gasses so that A; B  1; p2.  (a) Find an expression for the pressure di§erence, pA  pB, in terms of given quantities.(b) If the cross-sectional area of the U-tube is a and the cross-sectional area of the cylindrical containers is A, Önd an expression for h in terms of a, A, and l. You may assume that h = l = 0 when pA = pB.(c) Show that by having a=A very small and 1  2, a small pressure change results in a largecolumn displacement, l, thus making the instrument very sensitive to small pressure differences

Consider the U-tube manometer shown in the figure. Both ends of the U-tube manometer is open to atmospheric pressure. The left and right arm of the manometer has a cross-sectional area A1 = 8 cm2 and A1 = 4 cm2, respectively. The left figure illustrates the U-tube when mercury (ρHg =13.6 g⁄ cm3 ) is poured into it. The right figure shows the U-tube manometer when 90.0 g of water is poured in the right arm. (a) Determine the length of the water column in the right arm of the manometer and (b) the distance h the mercury rise in the left arm of the manometer.

Consider the U-tube manometer shown in the figure. Both ends of the U-tube manometer is open to atmospheric pressure. The left and right arm of the manometer has a cross-sectional area A1 = 8 cm2 and A1 = 4 cm2, respectively. The left figure illustrates the U-tube when mercury (ρHg =13.6 g/cm3) is poured into it. The right figure shows the U-tube manometer when 90.0 g of water is poured in the right arm. (a) Determine the length of the water column in the right arm of the manometer and (b) the distance h the mercury rise in the left arm of the manometer.

The cylinder in the figure is to be placed in fresh water. The top potion of the cylinder is foam with specific weight of 0.785 kN/m3. What is the needed specific weight of the cylinder which is attached to the foam for it to be neutrally buoyant and on an upright position when submerged in the said liquid?