Forced convection from a sphere in creeping flow, a sphere of diameter D, whose surface is maintained at a temperature T 0 , is located in a fluid stream approaching with a velocity v and...
The cable supports the three loads shown. Determine the magnitude of P 1 if P 2 = 300 y B = 8 ft. Also find the sag y D . 14 ft P, 12 t- 20 it 12 ft-
Both the adsorptive removal of small amounts of toluene from water and small amounts of water from toluene are important in the process industries. Activated carbon is particularly effective for...
A thin flat plate 55 by 110 cm is immersed in a 6-m/s stream of SAE 10 oil at 20C. Compute the total friction drag if the stream is parallel to (a) the long side and (b) the short side.
Write the Ka and Kb reactions of NaHCO3.
Repeat the flat-plate momentum analysis of Sec. 7.2 by replacing the parabolic profile, Eq. (7.6), with the more accurate sinusoidal profile: Compute momentum-integral estimates of Cf,...
Determine the moments of inertia Ix and Iy of the area shown with respect to centroidal axes respectively parallel and perpendicular to side AB. 0.75 75 m. 0.75
To cool electronic components that are mounted to a printed circuit board and hermetically sealed from their surroundings, two boards may be joined to form an intermediate channel through which the...
Compressible gas flow in a cylindrical pipe, gaseous nitrogen is in isothermal turbulent flow at 25C through a straight length of horizontal pipe with 3-in. inside diameter at a rate of 0.28lb m /s....
Write a Windows program that creates a child process that prints a greeting, sleeps for 20 seconds, then exits. The parent process should print a greeting before creating the child, and then...
Solve Example 5.3 with the addition of a heat exchanger at each stage so as to maintain isothermal operation of the absorber at (a) 125F (b) 150oF What is the effect of temperature on absorption in...
To reduce the home heating requirements, modern building codes in many parts of the country require the use of double-glazed or double-pane windows, i.e., windows with two panes of glass. Some of...
Liquid octane (C8H18) enters a steady-flow combustion chamber at 25C and 1 atm at a rate of 0.25 kg/min. It is burned with 50 percent excess air that also enters at 25C and 1 atm. After combustion,...
Four boxes are placed on a uniform 28-lb wooden plank which rests on two sawhorses. Knowing that the weights of boxes B and D are 9 lb and 90 lb, respectively, determine the range of values of the...
Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes. 150 mm 12 mm 50 mm 50 mm 12 ma 12 mm
Consider a concentric tube annulus for which the inner and outer diameters are 25 and 50 mm. Water enters the annular region at 0.04 kg/s and 25C. If the inner tube wall is heated electrically at a...
A support rod (k = 15 W/m K, a = 4.0 X 10-6 m2/s) of diameter D = 15 mm and length L = 100 mm spans a channel whose walls are maintained at a temperature of Tb = 300 K. Suddenly, the rod is exposed...
The escutcheon (a decorative plate placed on a pipe where the pipe exits from a wall) shown is cast from yellow brass. Knowing that the specific weight of yellow brass is 0.306 lb/in 3 determine the...
The equation of change for vorticity (a) By taking the curl of the Navier-Stokes equation of motion (in either the D/Dt form or the ?/?t form), obtain an equation for the vorticity, w = [? x v] of...
Steady-state evaporation (Fig. 18.2-1), rework the problem solved in S18.2, dealing with the evaporation of liquid A into gas B, starting from Eq. 19.1-17. (a) First obtain an expression for v*,...
Consider an opaque, diffuse surface for which the spectral absorptivity and irradiation are as fol1ows: What is the total absorptivity of the surface for the prescribed irradiation? If the surface is...
A block diagram of a closed-loop system is shown in figure.(a) Derive a closed-loop transfer function for disturbance changes, Y(s)/Ds).(b) For the following transfer functions, what values of Kc...
A narrowband signal has a bandwidth of 10 kHz centered on a carrier frequency of 100 kHz. It is proposed to represent this signal in discrete-tune form by sampling its in- phase and quadrature...
Figure shows a pulse function. (a) From details in the drawing, calculate the pulse width, t. (b) Construct this function as the sum of simpler time elements, some perhaps translated in time, whose...
Repeat Prob. 384 with Fx = 300 lbf, Fy = 250 lbf, and Fz = 100 lbf, and for a brittle material, requiring the inclusion of stress concentration in the fillet radius. Repeat Prob. 384, The...
Pressure drop needed for laminar-turbulent transition. A fluid with viscosity 18.3 cp and density 1.32 g/cm 3 is flowing in a long horizontal tube of radius 1.05 in. (2.67 cm). For what pressure...
The standard heat of combustion (Hc) of liquid 2.3,3-trimethylpentane [C8H18] is reported in a table of physical properties to be 4850 kJ/mol. A footnote indicates that the reference temperature for...
In addition to the standard inputs discussed in Section 5.1, other input functions occasionally are useful for special purposes. One, the so-called doublet pulse, is shown in figure. (a) Find the...
Turbines at the Conowingo plant on the Susquehanna River each develop 54,000 bhp at 82 rpm under a head of 89 ft. What type of turbines are these? Estimate the flow rate and impeller diameter.
Locate the centroid of the parabolic area. ax
Repeat Example 7.7 for a more compact tube bank in which the longitudinal and transverse pitches are SL = ST = 20.5 mm. All other conditions remain the same.
Calculate the critical heat flux on a large horizontal surface for the following fluids at 1 atm: mercury, ethanol, and refrigerant R-134a. Compare these results to the critical heat flux for water...
The objective of an experiment performed by our students is to determine the effect of pin fins on the thermal resistance between a flat plate and an airstream. A 25.9-mm-square polished aluminum...
Water at 20C and a flow rate of 0.1 kg/s enters a heated, thin-walled tube with a diameter of 15 mm and length of 2 m. The wall heat flux provided by the heating elements depends on the wall...
One hundred pound-moles per hour of a mixture of 60 mol% methanol in water at 30oC and 1 atm is to be separated by distillation at the same pressure into a liquid distillate containing 98 mol%...
Luyben and Vinante developed a distillation column model relating temperatures on the 4th and 17th trays from the bottom of the column (T4, T17,) to the reflux ratio R and the steam flow rate to the...
A piston/cylinder contains helium at 110 kPa at ambient temperature 20C, and initial volume of 20 L. The stops are mounted to give a maximum volume of 25 L and the nitrogen line conditions...
Pressurized steam at 450 K flows through a long, thin-walled pipe of 0.5-m diameter. The pipe is enclosed in a concrete casing that is of square cross section and 1.5 m on a side. The axis of the...
In Chapter 3 we assumed that, whenever fins are attached to a base material, the base temperature is unchanged. What in fact happens is that, if the temperature of the base material exceeds the fluid...
The heat sink of Problem 7.29 is considered for an application in which the power dissipation is only 70 W, and the engineer proposes to use air at T = 20C for cooling. If the base temperature Tb,...
A brick rectangular channel, with a slope of 0.002, is designed to carry 230 ft3/s of water in uniform flow. There is an argument over whether the channel width should be 4 ft or 8 ft. Which design...
Consider a steam power plant that operates on the regenerative Rankine cycle with one open feedwater heater. The enthalpy of the steam is 3374 kJ/kg at the turbine inlet, 2797 kJ/kg at the location...
A cylinder/piston arrangement contains 5 kg of water at 100C with x 20% and the piston, mP 75 kg, resting on some stops, similar to Fig. P5.35, the outside...
Determine the magnitude of the gripping forces exerted along line a on the nut when two 240-N forces are applied to the handles as shown. Assume that pins A and D slide freely in slots cut in the...
Consider a horizontal pin fin of 6-mm diameter and 60-mm length fabricated from plain carbon steel (k = 57 W/m K, 8 = 0.5). The base of the fin is maintained at 150C, while the quiescent ambient air...
Determine the internal shear and moment in member ABC as a function of x, where the origin for x is atA. 45 15 m 5m--1.5m- 6 kN
Compute the power that is absorbed or supplied by the elements in the network shown. +12 44A 14. 2A 2 4 2 24 V 3 28 V
Using superposition, determine the maximum deflection of the beam shown in the figure. The material is carbon steel. 851bf I3b 85 2-ia-die steft
Three infinite lines of charge, pl1 = 3 (nC/m), pl2 = _ 3 (nC/m), and pl3 = 3 (nC/m), are all parallel to the z-axis. If they pass through the respective points. P13 (0.b) E1 R3 E2 Pi2 (a.0) E:...
Determine the couple moment. Express the result as a Cartesian vector. Given: F = 80 N a = 6 m b = 10 m c = 10 m d = 5 m e = 4 m f = 4 m F.
In the locked position shown, the toggle clamp exerts at A a vertical 270-lb force on the wooden block, and handle CF rests against the stop at G. Determine the force P required to release the clamp....
A stripper operating at 50 psia with three equilibrium stages is used to strip 1,000 kmol/h of liquid at 250F having the following molar composition: 0.03% C1, 0.22% C2, 1.82% C3, 4.47% nC4, 8.59%...
In Fig P6.55 assume that the pipe is cast iron with L = 550 m, d = 7 cm, and Δz = 100 m. If an 80 percent efficient pump is placed at point B, what input power is required to deliver 160 m3/h...
For the collar and rod of Prob. 12.56, and assuming that the coefficients of friction are ?s = 0.25 and ?k = 0.20, indicate whether the collar will slide on the rod if it is released in the position...
An aluminum heat sink (k = 240 W/m K) used to cool an array of electronic chips consists of a square channel of inner width w = 25 mm, through which liquid flow may be assumed to maintain a uniform...
A vaulted roof truss is loaded as shown. Determine the force in members HJ, IJ, and GI. STAN
End corrections in tube viscometers (Fig. 7C.1)? In analyzing tube-flow viscometric data to determine viscosity, one compares pressure drop versus flow rate data with the theoretical expression (the...
The directional total emissivity of nonmetallic materials may be approximated as , = n, cos , where n, is the normal emissivity. Show that the total hemispherical emissivity for such materials is 2/3...
At 45 o C, 1,000 kg/h of a mixture of 0.80 mass fraction docosane and 0.20 mass fraction diphenylhexane is to be extracted with pure furfural to remove some of the diphenylhexane from the feed....
The performance of a heat pump degrades (i.e., its COP decreases) as the temperature of the heat source decreases. This makes using heat pumps at locations with severe weather conditions...
A 3-m boom is acted upon by the 4-kN force shown. Determine the tension in each cable and the reaction at the ball-and-socket joint at A. 1.8m 18m. 12 EN
The flywheel shown has a radius of 600 mm, a mass of 144 kg, and a radius of gyration of 450 mm. An 18-kg block A is attached to a wire that is wrapped around the flywheel, and the system is released...
Consider two aligned, parallel, square planes (0.4 m x 0.4 m) spaced 0.8 m apart and maintained at T 1 = 500 K and T 2 = 800 K. Calculate the net radiative heat transfer from surface 1 for the...
Consider two actual power plants operating with solar energy. Energy is supplied to one plant from a solar pond at 80C and to the other from concentrating collectors that raise the water temperature...
A steam power plant operates on an ideal reheat Rankine cycle between the pressure limits of 15 MPa and 10 kPa. The mass flow rate of steam through the cycle is 12 kg/s. Steam enters both stages of...
A wet-bulb thermometer consists of a mercury-in-glass thermometer covered with a wetted (water) fabric. When suspended in a stream of air, the steady-state thermometer reading indicates the wet-bulb...
Air at atmospheric pressure and a temperature of 25C is in parallel flow at a velocity of 5 m/s over a 1 -m-long flat plate that is heated with a uniform heat flux of 1250 W/m2 . Assume the flow is...
An electrical cable, experiencing a uniform volumetric generation q, is half buried in an insulating material while the upper surface is exposed to a convection processes (T, h). (a) Derive the...
Members ABC and CDE are pin-connected at C and are supported by four links. For the loading shown, determine the force in each link. B C D E
Consider a white Gaussian noise process of zero mean and power spectral density N0/2 that is applied to the input of the high-pass RL filter shown in Figure. (a) Find the autocorrelation function and...
If carbon dioxide is cooled at I atm. it condenses directly to a solid (dry ice) at 78.4C. The heat of sublimation at this temperature is H sub (78.4C) = 6030 cal/mol. (a) Calculate the heat removal...
Quinone can be reduced to hydroquinone with an excess of electrolytically generated Sn(II): The polarity of the working electrode is then reversed, and the excess Sn(II) is oxidized with Br2...
A vertical 12-cm diameter pistoncylinder device contains an ideal gas at the ambient conditions of 1 bar and 24C. Initially, the inner face of the piston is 20 cm from the base of the cylinder. Now...
Air is used as the working fluid in a simple ideal Brayton cycle that has a pressure ratio of 12, a compressor inlet temperature of 300 K, and a turbine inlet temperature of 1000 K. Determine the...
Carbon dioxide enters an adiabatic nozzle at 8 MPa and 450 K with a low velocity and leaves at 2 MPa and 350 K. Using the generalized enthalpy departure chart, determine the exit velocity of the...
The cable supports the three loads shown. Determine the magnitude of P1 and find the sag yD for the given data. Given: P2 = 300 lb yB = 8 ft a = 4 ft b = 12 ft c = 20 ft d = 15 ft e = 12 ft f = 14 ft...
A uniform slender rod AB is at rest on a frictionless horizontal table when end A of the rod is struck by a hammer which delivers an impulse that is perpendicular to the rod. In the subsequent...
Saturated steam at 110C is condensed in a shell-and-tube heat exchanger (1 shell pass; 2, 4,... tube passes) with a UA value of 2.5 kW/K. Cooling water enters at 40C. (a) Calculate the cooling water...
Solve Prob. 515 using the distortion energy theory. If you have solved Prob. 515, compare the results and discuss the difference.
An insulated pistoncylinder device contains 5 L of saturated liquid water at a constant pressure of 175 kPa. Water is stirred by a paddle wheel while a current of 8 A flows for 45 min through a...
Consider a Carnot heat-engine cycle executed in a steady-flow system using steam as the working fluid. The cycle has a thermal efficiency of 30 percent, and steam changes from saturated liquid to...
A bullet is fired with a horizontal velocity of 500 m/s through a 3-kg block A and becomes embedded in a 2.5-kg block B. Knowing that blocks A and B start moving with velocities of 3 m/s and 5 m/s,...
The 360-mm-radius flywheel is rigidly attached to a 30-mm-radius shaft that can roll along parallel rails. Knowing that at the instant shown the center of the shaft has a velocity of 24 mm/s and an...
Forced conduction heat transfer from a flat plate (thermal boundary layer extends beyond the momentum boundary layer), show that the result analogous to Eq. 12.4-14 for > 1 is 2 3 1 37 1 315 Pr 140...
Two 12 in long thin rectangular steel strips are placed together as shown. Using a maximum allowable shear stress of 12 000 psi, determine the maximum torque and angular twist, and the torsional...
The steel beam ABCD shown is simply supported at A and supported at B and D by steel cables, each having an effective diameter of 12 mm. The second area moment of the beam is I = 8(105) mm4. A force...
The cable supports the loading shown. Determine the distance xB from the wall to point B. Given: W1 = 8 lb W2 = 15 lb a = 5 ft b = 8 ft c = 2 ft d = 3 ft XB OC W:
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and h. x kay" y - kpz"
The acceleration of slider A is defined by the relation a= ??2k??k2 ?? v2, where a and v are expressed in ft/s2 and ft/s, respectively, and k is a constant. The system starts at time t = 0 with x =...
A 440-kg sailboat with its occupants is running downwind at 12 km/h when its spinnaker is raised to increase its speed. Determine the net force provided by the spinnaker over the 10-s interval that...
Two hemispheres are held together by a cord which maintains a spring under compression (the spring is not attached to the hemispheres). The potential energy of the compressed spring is 90 ft ? lb and...
A uniform rod of mass m is supported by a pin at A and a spring of constant k at B and is connected at D to a dashpot of damping coefficient c. Determine in terms of m, k, and c, for small...
Hot air for a large-scale drying operation is to be produced by routing the air over a tube bank (unmixed), while products of combustion are routed through the tubes. The surface area of the...
A cylindrical furnace for heat-treating materials in a spacecraft environment has a 90-mm diameter and an overall length of 180 mm. Heating elements in the 135-mm-long section (1) maintain a...
Consider the venturi nozzle of Fig. 6.40c, with D = 5 cm and d = 3 cm. Air stagnation temperature is 300 K, and the upstream velocity V1 = 72 m/s. If the throat pressure is 124 kPa, estimate, with...
Locate the centroid (xc, yc) of the shaded area. Given: a = 1 in b = 6 in c = 3 in d = 3 in b.
In the method of separation of variables (Section 4.2) for two-dimensional, steady-state conduction, the separation constant 2 in Equations 4.6 and 4.7 must be a positive constant. Show that a...
Two forces P and Q are applied as shown to an aircraft connection. Knowing that the connection is in equilibrium and that the magnitudes of the forces exerted on rods A and B are F A = 600 lb and F B...
The required tension in cable AB is 800 N. Determine (a) The vertical force P which must be applied to the pedal, (b) The corresponding reaction at C. 400 mm 60 180 mm
Consider combustion of hydrogen gas in a mixture of hydrogen and oxygen adjacent to the metal wall of a combustion chamber. Combustion occurs at constant temperature and pressure according to the...