A two-dimensional incompressible flow field is defined by the velocity components where V and L are constants, if they exist, find the stream function and velocity potential.

To approximate an actual spark-ignition engine consider an air-standard Otto cycle that has a heat addition of 1800 kJ/kg of air, a compression ratio of 7, and a pressure and temperature at the...

The 6-in.-radius drum rolls without slipping on a belt that moves to the left with a constant velocity of 12 in/s. At an instant when the velocity and acceleration of the center D of the drum are as...

The linkage ABD is formed by connecting two 4-kg bars and a collar of negligible mass. The motion of the linkage is controlled by the force P applied to the collar. Knowing that at the instant shown...

A liquid mixture of 27 wt% acetone and 73 wt% water is to be separated at 25 o C into a raffinate and extract by multistage, steady-state, countercurrent liquid-liquid extraction with a solvent of...

In medical applications the chief objectives for drug delivery are: (i) to deliver the drug to the correct location in the patients body, and (ii) to obtain a specified drug concentration profile in...

Consider the turbocharger of an internal combustion engine. The exhaust gases enter the turbine at 450°C at a rate of 0.02 kg/s and leave at 400°C. Air enters the compressor at 70°C and...

Propane and air are supplied to an internal combustion engine such that the air-fuel ratio is 16:1 when the pressure is 95 kPa and the temperature is 30C. The compression ratio of the engine is...

The dry- and wet-bulb temperatures of atmospheric air at 95 kPa are 25 and 17C, respectively. Determine (a) The specific humidity, (b) The relative humidity, and (c) The enthalpy of the air, in kJ/kg...

Dry air at 35C and a velocity of 15 m/s flows over a long cylinder of 20-mm diameter, the cylinder is covered with a thin porous coating saturated with water, and an imbedded electrical heater...

A uniform slender rod of length 2L and mass m rests against a roller at D and is held in the equilibrium position shown by a cord of length a. Knowing that L = 200 mm, determine (a) The angle , (b)...

If the coefficient of static friction at B is ? s = 0.3, determine the largest angle and the minimum coefficient of static friction at A so that the roller remains self-locking, regardless of the...

A dibasic compound, B, has pKb1 = 4.00 and pKb2 = 6.00. Find the fraction in the form BH2 2+ at pH 7.00, using Equation 9 - 19. Note that K1 and K2 in Equation 9-19 are acid dissociation constants...

The steel shaft shown in the figure is subjected to a torque of 50 lbf-in applied at point A. Find the torque reactions at O and B | 50 lt f-in -india. 0 6 in

In Linux, shared libraries perform many operations central to the operating system. What is the advantage of keeping this functionality out of the kernel? Are there any drawbacks? Explain your answer.

Arm BCD is connected by pins to crank AB at B and to a collar at C. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when θ = 45°. 2000...

An oil pipeline is supported at 6-ft intervals by vertical hangers attached to the cable shown. Due to the combined weight of the pipe and its contents, the tension in each hanger is 400 lb. Knowing...

A piece of sheet metal is bent into the shape shown and is acted upon by three forces. Replace the three forces with an equivalent wrench and determine (a) The magnitude and direction of the...

Use tabulated specific enthalpies from Tables B.8 and 8.9 to calculate A for the following processes, all taking place at low pressures: (a) N2 (25C) b N2 (700C) (c) CO2 (300C) CO2 (1250C) (b) H2...

A common industrial application of dc series motors is in crane and hoist drives. This problem relates to the computation of selected motor performance characteristics for such a drive. The specific...

Potential flow past a wedge of half angle leads to an important application of laminar-boundary-layer theory called the Falkner-Skan flows [Ref. 15 of Chap. 8, pp. 242247]. Let x denote distance...

Two very long (in the direction normal to the page) bars having the prescribed initial temperature distributions are to be soldered together. At time t = 0, the m = 3 face of the copper (pure) bar...

A major contributor to product defects in electronic modules relates to stresses induced during thermal cycling (intermittent heating and cooling). For example, in circuit cards having active and...

A plane contains the vectors A and B. Determine the unit vector normal to the plane when A and B are equal to, respectively, (a) 4i 2j + 3k and 2i + 6j 5k, (b) 7i + j 4k and 6i 3k + 2k.

Barium carbonate, which is essentially water insoluble, is to be made by precipitation from an aqueous solution containing 120,000 kg/day of water and 40,000 kg/day of barium sulfide, with the...

Determine the moment of the force F about point A as a function of ?. Plot the results of M (ordinate) versus ? (abscissa) for 0? ? ? ? 180?. F= 400 N -3 m-

The shield of a nuclear reactor can be idealized by a large 10 in. thick flat plate having a thermal conductivity of 2 Btu/(h ft ?F). Radiation from the interior of the reactor penetrates the shield...

A gas-turbine engine with regeneration operates with two stages of compression and two stages of expansion. The pressure ratio across each stage of the compressor and turbine is 3.5. The air enters...

Figure shows the encoder for a rate r = 1/2, constraint length K = 4 convolutional code. Determine the encoder output produced by the message sequence 10111.... Modulo-2 adder Output Input o Flip-flop

Air is compressed from 20 psia and 70oF to 150 psia in a compressor. The compressor is operated such that the air temperature remains constant. Calculate the change in the specific volume of air as...

An ideal gas refrigeration system with a regenerative HX uses air as the working fluid. Air enters the compressor at 270 K, 150 kPa at a flow rate of 0.1 m3/min and exits at 400 kPa. Compressed air...

In the figure for Prob. 820, the bolts have a diameter of in and the cover plate is steel, with D = in. The cylinder is cast iron, with E = 5/8 in and a modulus of elasticity of 18 Mpsi. The -in...

Two 10-lb disks and a small motor are mounted on a 15-lb rectangular platform which is free to rotate about a central vertical spindle. The normal operating speed of the motor is 180 rpm. If the...

In a manufacturing process, a long coated plastic rod (p = 2200 kg/m J c = 800 J/kg K, k =1 W/m K) of diameter D = 20 mm is initially at a uniform temperature of 25C and is suddenly exposed to a...

The top surface (0.5 m x 0.5 m) of an oven is 60C for a particular operating condition when the room air is 23C. To reduce heat loss from the oven and to minimize bum hazard, it is proposed to create...

A rocket is fired vertically from the surface of the moon with a speed v0. Derive a formula for the ratio hn/hu of heights reached with a velocity v, if Newtons law of gravitation is used to...

A gas containing 50 mol% propylene in propane is to be separated with silica gel having the equilibrium properties shown in Figure. The final products are to be 90 mol% propylene and 75 mol% propane....

The block diagram of a special feedback control system is shown in Figure. Derive art expression for the closed-loop transfer function, Y(s)/D(s).

An air-conditioning system operates at a total pressure of 1 atm and consists of a heating section and an evaporative cooler. Air enters the heating section at 10C and 70 percent relative humidity at...

The manufacturer of a heat flux gage like that illustrated in Problem 1 12 claims the time constant for a 63.2% response to be = (4d 2 pc p ) 2 k where p, c p, and k are the thermo physical...

Consider a concentric tube heat exchanger characterized by a uniform overall heat transfer coefficient and operating under the following conditions: What is the maximum possible heat transfer rate?...

The flat roof on the refrigeration compartment of a food deli very truck is of length L = 5 m and width W = 2 m. It is fabricated from thin sheet metal to which a fiberboard insulating material of...

A long, V-shaped part is heat treated by suspending it in a tubular furnace with a diameter of 2 m and a wall temperature of 1000 K. The "vee" is I-m long on a side and has an angle of 60?. If the...

For 15 minimum equilibrium stages at 250 psia, calculate and plot the percent recovery of C3 in the distillate as a function of distillate flow rate for the distillation of 1,000 lbmol/h of a feed...

Find Vo in the network shown using Thevenins Theorem 100Lx

Consider the thin integrated circuit (chip) of Problem 3.136. Instead of attaching the heat sink to the chip surface, an engineer suggests that sufficient cooling might be achieved by mounting the...

Spheres of 40-mm diameter heated to a uniform temperature of 400C are suddenly removed from the oven and placed in a forced-air bath operating at 25C with a convection coefficient of 300 W 1m:!. . K...

The heat capacities of a substance have been defined as use the defining relationship between H and U and the fact that H and U for ideal gases are functions only of temperature to prove that Cp = Cv...

One end of a stainless steel (AISI 316) rod of diameter 10 mm and length 0.16 m is inserted into a fixture maintained at 200C. The rod, covered with an insulating sleeve, reaches a uniform...

An 8-ft-long boom is held by a ball-and-socket joint at C and by two cables AD and BE. Determine the tension in each cable and the reaction at C.

A transmission cable having a mass per unit length of 1 kg/m is strung between two insulators at the same elevation that are 60 m apart. Knowing that the sag of the cable is 1.2 m, determine (a) The...

The exposed surface of a power amplifier for an earth satellite receiver of area 130 mm by 130 mm has a diffuse, gray, opaque coating with an emissivity of 0.5. For typical amplifier operating...

A 10 wt% aqueous solution of NaOH at 100F and a flow rate of 30.000 lb/h is to be concentrated to 50 wt% by evaporation using saturated steam at 115 psia. (a) If a single-effect evaporator is used...

The dynamic behavior of the heat exchanger shown in figure can be described by the following transfer functions The valve lift x is measured in inches. Other symbols are defined in Figure.(a) Find...

The atomic masses of hydrogen-2 (deuterium), helium-4, and lithium-6 are 2.014102 amu, 4.002602 amu, and 6.0151228 amu, respectively. For each isotope, calculate (a) The nuclear mass (b) The nuclear...

Reconsider Prob. 1621. Using EES (or other) software, study the effect of varying the percent excess air during the steady-flow process from 0 to 200 percent on the temperature at which 97 percent of...

Find the missing properties and give the phase of the substance a. H2O u 2390 kJ/kg, T 90C h ? v ? x ? b. H2O u...

To lower a pack of weight W to the hiker at C, the hikers at A and B have passed a rope ADB through a ring attached to the pack at D. The hiker at C is 64 ft below A and guides the pack using rope...

In a surface coating operation, a polymer (plastic) dissolved in liquid acetone is sprayed on a solid surface and a stream of hot air is then blown over the surface, vaporizing the acetone and...

Consider the liquid storage system shown in figure. Only volumetric flow rates, q and q, can be manipulated. Determine the model degrees of freedom, NF, and the control degrees of freedom,NFC. 96 42...

Ten kilograms of water in a piston/cylinder setup with constant pressure is at 450C and a volume of 0.633 m3. It is now cooled to 20C. Show the Pv diagram and find the work and heat transfer for the...

A frictionless, thermally conducting piston separates the air and water in the cylinder shown in Fig. P5.100, the initial volumes of A and B are each 500 L, and the initial pressure on each side is...

Heating of air in a tube, a horizontal tube of 20 ft length is heated by means of an electrical heating element wrapped uniformly around it, Dry air enters at 5F and 40 psia at a velocity 75 ft/s and...

A non-return-to-zero data stream (of amplitude levels ?1) is passed through a low-pa filter whose impulse response is defined by the Gaussian function where ? is a design parameter defined in terms...

Is it possible to produce a precipitation-hardened 2014 aluminum alloy having a minimum tensile strength of 425 MPa (61,625psi) and a ductility of at least 12%EL? If so, specify the precipitation...

A spherical balloon initially 150 mm in diameter and containing R-12 at 100 kPa is connected to a 30-L uninsulated, rigid tank containing R-12 at 500 kPa. Everything is at the ambient temperature of...

A 20-kg roller of diameter 200 mm, which is to be used on a tile floor, is resting directly on the sub flooring as shown. Knowing that the thickness of each tile is 8 mm, determine the force P...

To form a reinforced box section, two rolled W sections and two plates are welded together. Determine the moments of inertia and the radii of gyration of the combined section with respect to the...

You are to simulate a partial condenser module that converts a vapor feed stream (SF) containing a single condensable species at temperature TF(K) to liquid and vapor product streams (SL, SV) in...

Consider the counter flow, concentric tube heat exchanger of Example 11.1. The designer wishes to consider the effect of the cooling water flow rate on the tube length. All other conditions,...

For the process described by the exact transfer function (a) Find an approximate transfer function of second-order-plus-time-delay form that describes this process.(b) Using Simulink, plot the...

A certain axial-flow turbine has an output torque M which is proportional to the volume flow rate Q and also depends upon the density , rotor diameter D, and rotation rate . How does the torque...

Bars AB and BC each of length l and of negligible weight are attached to two spring each of constant k. The springs are undeformed and the system is in equilibrium when θ1 =...

A long-range ballistic trajectory between points A and B on the earth??s surface consists of a portion of an ellipse with the apogee at point C. Knowing that point C is 930 mi above the surface of...

(a) Write an expression for the modulus of elasticity for a hybrid composite in which all fibers of both types are oriented in the same direction. (b) Using this expression, compute the longitudinal...

Data of Othmer and Agarwal [1] for the batch extraction of oil from soybeans by oil-free n-hexane at 80F are as follows: Determine whether these data are consistent with a constant effective...

A 12-ft3 rigid tank contains refrigerant-134a at 40 psia and 55 percent quality. Heat is transferred now to the refrigerant from a source at 120F until the pressure rises to 60 psia. Assuming the...

Steam is to be condensed in the condenser of a steam power plant at a temperature of 60C with cooling water from a nearby lake that enters the tubes of the condenser at 15C at a rate of 140 kg/s and...

A disk having an outer diameter a fits loosely over a fixed shaft having a diameter b, if the coefficient of static friction between the disk and the shaft is s, determine the smallest vertical force...

Boxes are transported by a conveyor belt with a velocity v0 to a fixed incline at A where they slide and eventually fall off at B. Knowing that k = 0.40, determine the velocity of the conveyor belt...

A process to be controlled has two controlled variables Y1 and Y2, and three inputs that can be used as manipulated variables, U1, U2, and U3. However, it is desired to use only two of these three...

Consider the series solution, Equation 5.39, for the plane wall with convection. Calculate mid plane (x* = 0) and surface (x* = 1) temperatures * for Fo = 0.1 and I, using Bi = 0.1, 1, and 10....

Two small spheres A and B, with masses of 2.5 kg and 1 kg, respectively, are connected by a rigid rod of negligible mass. The two spheres are resting on a horizontal, frictionless surface when A is...

Figure shows the magnetic circuit for a permanent-magnet loudspeaker. The voice coil (not shown) is in the form of a circular cylindrical coil which fits in the air gap. A samarium-cobalt magnet is...

For the distillation operation indicated in figure, calculate the minimum number of equilibrium stages and the distribution of the nonkey components by the Fenske equation, iCs 15 kmol/h 700 kPa...

A bevel-gear shaft mounted on two 40-mm 02-series ball bearings is driven at 1720 rev/min by a motor connected through a flexible coupling. The figure shows the shaft, the gear, and the bearings. The...

Air is throttled from 50C and 800 kPa to a pressure of 200 kPa at a rate of 0.5 kg/s in an environment at 25C. The change in kinetic energy is negligible, and no heat transfer occurs during the...

Consider the plunger actuator of figure. Assume that the plunger is initially fully opened (g = 2.25 cm) and that a battery is used to supply a current of 2.5 A to the winding. a. If the plunger is...

A thick plate of pure iron at 1000C is subjected to a carburization process in which the surface of the plate is suddenly exposed to a gas that induces a carbon concentration C c,s at one surface....

A saturated-liquid feed stream containing 40 mol% n-hexane (H) and 60 mol% n-octane is fed to a plate column. A reflux ratio L/D equal to 0.5 is maintained at the top of the column. An overhead...

A gas mixture at 300 K and 200 kPa consists of 1 kg of CO2 and 3 kg of CH4. Determine the partial pressure of each gas and the apparent molar mass of the gas mixture.

The combustion of a fuel usually results in an increase in pressure when the volume is held constant, or an increase in volume when the pressure is held constant, because of the increase in the...

Steam enters a convergingdiverging nozzle at 1 MPa and 500C with a negligible velocity at a mass flow rate of 2.5 kg/s, and it exits at a pressure of 200 kPa. Assuming the flow through the nozzle to...

The fork lift has a weight W1 and center of gravity at G. If the rear wheels are powered, whereas the front wheels are free to roll, determine the maximum number of crates, each of weight W2 that the...

The sheet metal part has the dimensions shown. Determine the location (xc, yc, zc) of its centroid. Given: a = 3 in b = 4 in c = 6 in B

Two bolts A and B are tightened by applying the forces and couple shown. Replace the two wrenches with a single equivalent wrench and determine (a) The resultant R, (b) The pitch of the single...

Flow of a polymeric film work the problem in S2.2 for the power law fluid. Show that the result simplifies properly to the Newtonian result.

The properties and flow rates for the hot and cold fluids of a heat exchanger are shown in the following table. Which fluid limits the heat transfer rate of the exchanger? Explain yourchoice. Hot...

A long uniform rod of 50-mm diameter with a thermal conductivity of 15 W/m K is heated internally by volumetric energy generation of 20 kW/m 3 . The rod is positioned coaxially within a larger...

A 1-in-diameter rod, 3 ft long, of unknown material is found in a machine shop. A variety of inexpensive nondestructive tests are readily available to help determine the material, as described below:...