In chemical engineering, plug flow reactors (that is, those in which fluid flows from one end to the other with minimal mixing along the longitudinal axis) are often used to convert reactants into products. It has been determined that the efficiency of the conversion can sometimes be improved by recycling a portion of the
FIGURE P8.2
Schematic representation of a plug flow reactor with recycle.
Where
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Additional Engineering Textbook Solutions
Advanced Engineering Mathematics
Basic Technical Mathematics
Fundamentals of Differential Equations (9th Edition)
Probability and Statistical Inference (9th Edition)
Probability and Statistics for Engineers and Scientists
- 1) Express the following graphs in terms of unit step functions a) y = f1(t) b) 1 1 1 y = f2(t) 1 2 3arrow_forwardThe concentration of salt ? g/L in homemade soap is given as a function of time as follows: ??/dt = (0.37? − 0.03)? At the initial time, ? = 0 minute, the salt concentration is 20 g/L. Choose a step size in a range of 1 < h ≤ 1.5 minutes for the interval from 0 to 8h minutes and apply THREE (3) numerical methods to compute the salt concentration. Select the best numerical method to estimate the salt concentration and justify your answer. method 1: ruler's methodarrow_forward4. Water and acetone are mixed in a tank of volume V = 1 m³. Water (density of pw = 1 g/cm?, specific heat at constant pressure Cpw = 4.18 kJ/(kg K)) enters the tank through a pipe of cross section A1 at a speed u =1 m/s and temperature T = 20°C. Acetone (density of pa = 0.784 g/cm³, specific heat at constant pressure Cpa = 2.15 k.J/(kg K)) enters the mixing tank through a pipe of cross section A, = 5 cm?, at a speed u2 = 0.5 m/s and temperature T2 = 20°C. Heating coils maintain a temperature T the tank. Stirrers provide 50 kW of work. The water acetone mixture is extracted through a pipe of cross section Az = 7 cm?. Note that internal energy per unit mass is calculated as e = C,T – p/p. 10 cm?, 40°C within (a) Calculate the exit velocity of the mixture uz. (b) Calculate the mixture density at the exit pm. (c) Calculate the head added per unit time Q. Note that the mixture specific heat is Pwl1A1Cp,w + Pal2 A2C,,a Cp,m = Pm U3 A3arrow_forward
- 59. To help prevent frost damage, fruit growers sometimes protect their crop by spraying it with water when overnight temperatures are expected to go below freezing. When the water turns to ice during the night, heat is released into the plants, thereby giving a measure of protection against the cold. Suppose a grower sprays 7.2 kg of water at 0 °C onto a fruit tree. (a) How much heat is released by the water when it freezes? (b) How much would the temperature of a 180-kg tree rise if it absorbed the heat released in part (a)? Assume that the specific heat capacity of the tree isarrow_forward3. The relationship between arterial blood flow and blood pressure in a single artery satisfies the following first-order differential equation: dP(t) + dt RC mmHg (cm³/s) P(t) = where Qin is the volumetric blood flow, R is the peripheral resistance, and C is arterial compliance (all constant). Qin-60 cm³/s and the initial arterial pressure is 6 mmHg. Also, assume R = 4 and C= 0.4- Oin cm³ mmHg (a) Find the transient solution Ptran(t) for the arterial pressure. The unit for P(t) is mmHg. (b) Determine the steady-state solution Pss(t) for the arterial pressure. (c) Determine the total solution P(t) assuming that the initial arterial pressure is 0.arrow_forwardevaluate the expression, f(x+h)-F(x)/h , f(x)=\sqrt(2x)arrow_forward
- A control valve is used to manipulate a liquid flowrate in the flowrate control loop. Figure 2 shows the flow characteristic of the control valve.Determine the following: i. Type of flow characteristic of the control valve.ii. Flowrate through the valve if the valve travel is 45%. Noted that the flowrate of the liquid is 70 000 lb/h when the valve is fully opened.iii. The maximum flow coefficient of the control valve, if the density of the liquid is half of the density of water and the pressure drop across the valve is 10 psi.arrow_forwardcylindrical fuel element for a gas-cooled nuclear reactor, the heat generation rate within the fuel element due to fission can be approximated by the relation: q(r) = q_0 [1 - (r/a)^2] W/m^3 where a is the radius of the fuel element and q_0 is constant. The boundary surface at r = a is maintained at a uniform temperature T_0. Assuming one-dimensional, steady-state heat flow, develop a relation for the temperature drop from the centerline to the surface of the fuel element. For radius a= 30mm, the thermal conductivity k = 10 W/m middot K and q_0 = 2 times 10^7 W/m^3, calculate the temperature drop from the centerline to the surface.arrow_forwardAs an environmental engineer working for a consulting company you were asked to evaluate an existing water treatment plant for possible upgrade. One of the treatment unit processes you evaluated was the rapid mix tank. You had the following information. 2. Current average water flow rate 15 x 10' m'/d. Projected flow rate in 20 years 24 x 10' m'/d. Temperature of water varies from 12 to 20° C. No. of rapid mix tank = 1 Dimension of tank: water depth 2.1 m, width 2.1 m, length 2.1 m Tank is not baffled: Mixer is 4-bladed turbine with 45° pitched blade (N, = 1.27) Diameter of impeller 0.9 m Label on the motor: horsepower of motor 10 hp (1 hp 746 watts) rpm of blades = 120 rpm (assume a motor efficiency of 80%) Evaluate whether the rapid mix system (1) Is sufficiently designed for current use? If not, provide some remedies. (i) Will the current system be sufficient for the projected flow rate in 20 years? If not, what are some of your suggestions or additions to meet the projected flow?arrow_forward
- The following results were obtained in flowing dry gas through a cleaned extracted dried core plug: Core dimensions: Diameter 1 in., Length 1 In. Gas viscosity 0.02 cp Upstream pressure Downstream pressure Flow rate (mm Hg) (mm Hg) (standard conditions) (cm/min) 860 760 1270 760 36 2280 760 129 Evaluate the permeability of the sample after Klinkenberg correction.arrow_forwardUsing MATLABarrow_forwardPlease send me the question in 30 minutes it's very urgent plzarrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY