Write a mass balance equation for a plug flow stream with a second-order decaying substance, C. Solve for the steady state concentration of C as a function of the second-order rate constant (k), longi...
Write a mass balance equation for a plug flow stream with a second-order decaying substance, C. Solve for the steady state concentration of C as a function of the second-order rate constant (k), longitudinal distance (x), mean velocity (u) and the concentration at x=0 (Co).
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Write a mass balance equation for a plug flow stream with a second-order decaying substance, C. Solve for the steady state concentration of C as a function of the second-order rate constant (k), longi...
3. Steady-State CSTR Assume you have an adiabatic CSTR operating at steady-state. Within the CSTR, reactant...
3. Steady-State CSTR Assume you have an adiabatic CSTR operating at steady-state. Within the CSTR, reactant A is being converted to product, where the rate of reaction is first order: A =kC However, the reaction is also exothermie, and the rate constant is described through the classic Arrhenius equation: k(T) = k e RT Under the set of conditions given, solve for the temperature (T) and the concentration (CA) leaving this CSTR operating under steady-state conditions. k . CA0| 3000...
A laminar flow of constant density and constant viscosity at steady state flows thought the two...
A laminar flow of constant density and constant viscosity at steady state flows thought the two flat and parallel infinite plate. The upper plate is mowing while lower plate is stationary. The flow upper plate: moving is driven by the pressure gradient in the x direction. The velocity profile is desired to be derived for this system. Then - What are the correct answers? 20 lower plate: stationary ay c) PS, 0 200 b- Write the equation to find out...
At steady state, air at 200 kPa, 325 K, and mass flow rate of 1.0 kg/s...
At steady state, air at 200 kPa, 325 K, and mass flow rate of 1.0 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. The inlet cross-sectional area is 6 cm2. At the duct exit, the pressure of the air is 100 kPa and the velocity is 300 m/s. Neglecting potential energy effects and modeling air as an ideal gas, determine a. the velocity of the air at the inlet, in m/s. b. the temperature of the...
5.Steady-state flow in a nozzle of unknown cross sectional area is given by u-u(x) ax3+ bx+c...
5.Steady-state flow in a nozzle of unknown cross sectional area is given by u-u(x) ax3+ bx+c where a, b, and c are unknown coefficients to be determined. At the inlet (x 0) the velocity is 2 m/s, at the outlet (x=L = 2 m) the velocity is 8 m/s and a velocity extremum (maximum or minimum) is known to occur at midpoint (x L/2 1 m). Derive the equation of acceleration as a function of x. Calculate the acceleration at...
Consider a two-dimensional, fully-developed, steady viscous flow of water through a duct of constant one-centimeter width...
Consider a two-dimensional, fully-developed, steady viscous flow of water through a duct of constant one-centimeter width in the y-direction. There is no pressure variation through the flow but the water flows in the positive x-direction, which is the direction of the gravity force. $y = 0 and gx = g. (a) Using the continuity and momentum equations, determine the magnitude of the v component of velocity and develop the ordinary differential equation that governs the u component of velocity. (b)...
1. In 1970, the total phosphorus (TP) load to Lake Erie was 18.150 tonnes/year (where tonnes...
1. In 1970, the total phosphorus (TP) load to Lake Erie was 18.150 tonnes/year (where tonnes or metric ton = 1,000 kg). The surface area, volume, and outflow from Lake Erie are given as 25.2 x 10 m² 468 x 10 m, and 182 x 10 m yr, respectively. Based on previous evaluations, the total phosphorus is removed from the lake with an apparent settling rate of 16 m/yr. a. Draw a diagram and write the mass balance equation for...
6. A second order differential equation d?x/dt+ 5 dx/dt+7x = 7y. State the undamped natural frequ...
6. A second order differential equation d?x/dt+ 5 dx/dt+7x = 7y. State the undamped natural frequ damping ratio. 7. State the damped natural frequency, damping coefficient and time constant for question 6. 8. Given that the transfer function G is K/s(s+sT). State the type and order of the system 9. It is given that G(s) = K/s (1+sT). This system is operated in a closed-loop with unity feedback. W order and the type of closed-loop system? 10. Given the transfer...
PART A PART B PART C PART D (1 point) A mass m = 4 kg...
PART A
PART B
PART C
PART D
(1 point) A mass m = 4 kg is attached to both a spring with spring constant k = 197 N/m and a dash-pot with damping constant c=4N s/m. The mass is started in motion with initial position to 3 m and initial velocity vo = 6 m/s. Determine the position function r(t) in meters. x(1) Note that, in this problem, the motion of the spring is underdamped, therefore the solution can...
Consider the steady, laminar flow of two liquids, A and B, with viscosities HA-μ and μΒ...
Consider the steady, laminar flow of two liquids, A and B, with viscosities HA-μ and μΒ 21, respectively, between infinite parallel plates at 2- a, as shown in the diagram below. The plate at 2 a is fixed, while the plate at 2a moves with constant velocity -Vi, where V0. The liquids do not mix, and each forms a layer of depth a. There is an applied pressure gradient acting on both liquids, given by ▽p--Ci (where C > 0...
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1...
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1200 kg/m2, Uoo- 20 m/s and cylinder radius R 0.01 m 1 cm and Az 1 m Note: The flow does not cross streamlines, so there is no flow across the side boundaries. Exit (2) NO SCALE Variable u vs y at x2-0 Inlet (1) y- H1 and v 0 constant u Uo constant v0 A) Find mass...
3. Steady-State CSTR Assume you have an adiabatic CSTR operating at steady-state. Within the CSTR, reactant A is being converted to product, where the rate of reaction is first order: A =kC However, the reaction is also exothermie, and the rate constant is described through the classic Arrhenius equation: k(T) = k e RT Under the set of conditions given, solve for the temperature (T) and the concentration (CA) leaving this CSTR operating under steady-state conditions. k . CA0| 3000...
A laminar flow of constant density and constant viscosity at steady state flows thought the two flat and parallel infinite plate. The upper plate is mowing while lower plate is stationary. The flow upper plate: moving is driven by the pressure gradient in the x direction. The velocity profile is desired to be derived for this system. Then - What are the correct answers? 20 lower plate: stationary ay c) PS, 0 200 b- Write the equation to find out...
5.Steady-state flow in a nozzle of unknown cross sectional area is given by u-u(x) ax3+ bx+c where a, b, and c are unknown coefficients to be determined. At the inlet (x 0) the velocity is 2 m/s, at the outlet (x=L = 2 m) the velocity is 8 m/s and a velocity extremum (maximum or minimum) is known to occur at midpoint (x L/2 1 m). Derive the equation of acceleration as a function of x. Calculate the acceleration at...
Consider a two-dimensional, fully-developed, steady viscous flow of water through a duct of constant one-centimeter width in the y-direction. There is no pressure variation through the flow but the water flows in the positive x-direction, which is the direction of the gravity force. $y = 0 and gx = g. (a) Using the continuity and momentum equations, determine the magnitude of the v component of velocity and develop the ordinary differential equation that governs the u component of velocity. (b)...
1. In 1970, the total phosphorus (TP) load to Lake Erie was 18.150 tonnes/year (where tonnes or metric ton = 1,000 kg). The surface area, volume, and outflow from Lake Erie are given as 25.2 x 10 m² 468 x 10 m, and 182 x 10 m yr, respectively. Based on previous evaluations, the total phosphorus is removed from the lake with an apparent settling rate of 16 m/yr. a. Draw a diagram and write the mass balance equation for...
6. A second order differential equation d?x/dt+ 5 dx/dt+7x = 7y. State the undamped natural frequ damping ratio. 7. State the damped natural frequency, damping coefficient and time constant for question 6. 8. Given that the transfer function G is K/s(s+sT). State the type and order of the system 9. It is given that G(s) = K/s (1+sT). This system is operated in a closed-loop with unity feedback. W order and the type of closed-loop system? 10. Given the transfer...
PART A
PART B
PART C
PART D
(1 point) A mass m = 4 kg is attached to both a spring with spring constant k = 197 N/m and a dash-pot with damping constant c=4N s/m. The mass is started in motion with initial position to 3 m and initial velocity vo = 6 m/s. Determine the position function r(t) in meters. x(1) Note that, in this problem, the motion of the spring is underdamped, therefore the solution can...
Consider the steady, laminar flow of two liquids, A and B, with viscosities HA-μ and μΒ 21, respectively, between infinite parallel plates at 2- a, as shown in the diagram below. The plate at 2 a is fixed, while the plate at 2a moves with constant velocity -Vi, where V0. The liquids do not mix, and each forms a layer of depth a. There is an applied pressure gradient acting on both liquids, given by ▽p--Ci (where C > 0...
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1200 kg/m2, Uoo- 20 m/s and cylinder radius R 0.01 m 1 cm and Az 1 m Note: The flow does not cross streamlines, so there is no flow across the side boundaries. Exit (2) NO SCALE Variable u vs y at x2-0 Inlet (1) y- H1 and v 0 constant u Uo constant v0 A) Find mass...
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