The water in a 40-L tank is to be heated from 15°C to 45°C by a 25-cm-diameter spherical heater whose surface temperature is maintained at 85°C. Determine how long the heater should be kept on.

Given: The properties of air at 1 atm and the film temperature of 57.5°C.

Fluid temperature = Average temperature for water (15+45)/2=30°C

k = 0.6515 W/m.°C, v = 0.493 x 10^-6 m²/s, Pr = 3.12, and ? = 0.501 x 10^-3 K^-1

The properties of water at 30°C.
? = 996 kg/m³ and c_p = 4178 J/kg.°C, and volume, V = 0.040 m³

Water is used to cool ethylene glycol in a 18.3-m-long double pipe heat exchanger made of 4-std and 2-std (both type M) copper tubing. The water inlet temperature is 15.6°C and the ethylene glycol inlet temperature is 82.2°C. The flow rate of the ethylene glycol is 9.07 kg/s, while that for the water is 13.6 kg/s. Calculate the expected outlet temperature of the ethylene glycol and determine the pressure drop expected for both streams. Assume counterflow, and place the ethylene glycol in the inner tube. Compose a Summary of Performance chart.

A zero-momentum spin stabilized satellite has a momentum wheel spinning at 5000 rpm. The angular momentum of the wheel is 100 N-m-sec.

a) What is the spin rate of the satellite if its moment of inertia is 500 kg-m²?

b) What is the moment of inertial of the wheel?

c) If there were a problem with the wheel and it was stopped, what would be the spin rate of the satellite?

d) Assuming the problem was fixed, how long would it take to get back up to a speed of 4000 rpm applying a motor torque of 0.1 N-m?

e) What would the new spin rate of the satellite be?

For the differential equation x′′ + (o.1)(1 − x2)x′ + x = 0; x(0) = 1, x′(0) = 0. (a) Rewrite it as a system of first order differential equations in preparation to solve with the vectorized version of a numerical approximation technique. (b) Use the vectorized Euler method with h = 0.2 to plot out an approximate solution for t = 0 to t = 10. (c) Plot the points to the approximated solution (make a scatter plot), make a prediction of what type of function the solution might be.

1) Present ten standards compliance certificate for the design of shell and tube heat excanger

2) Present the safety features and considerations that can be adopted for the shell and tube heat heat exchanger

1) Present ten standards compliance certificate for the design of double pipe heat excanger

2) Present the safety features and considerations that can be adopted for the double pipe heat heat exchanger

An ideal Rankine cycle operates with a turbine inlet pressure of 900 psia and a turbine inlet temperature of 572 oF. The steam is isentropically expanded through the turbine to 5 psia as illustrated on the T-s diagram shown below. Using the Mollier diagram, determine the percent moisture at the turbine outlet under these operating conditions. State your answer in whole numbers.

An ideal Rankine cycle operates with a turbine inlet pressure of 600 psia and a turbine inlet temperature of 526 oF. The steam is isentropically expanded through the turbine to 15 psia as illustrated on the T-s diagram shown below. Using the Mollier diagram, determine the enthalpy at the turbine inlet, in BTU/lbm, under these operating conditions. State your answer in whole numbers.

An ideal Rankine cycle operates without superheat (wet cycle) as shown in the following T-s diagram. If saturated steam is expanded from 450 psia to steam with 5 % moisture, use the Mollier diagram and steam tables, as necessary, to determine the pump inlet temperature, in oF. State your answer to one decimal place.

What is Axiomatic Design?

Steps and Application of Axiomatic Design

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In a curved channel, what causes the asymmetry in the full flow speed profile?

What is the basis of “Design for Maintainability”? When might the principles of Design for Maintainability lead to bad designs when followed without consideration of other principles? Defend your answer with a short example.

During a test a rocket travels upward at 75 meters/second, and when it is 40 meters from the ground its engine fails. Determine the maximum height h reached by the rocket and its speed just before it hits the ground. While in motion the rocket is subjected to a constant downward acceleration of 9.81 m/s2 due to gravity. Neglect the effect of air resistance.

Air enters a window air conditioner at 1 atm, 36^oC and 75% relative humidity (??) at a rate of 12m³/min and it leaves as saturated air at 18^oC. Part of the moisture in the air which condenses during the process is also removed at 18^oC. Determine (a) the rate of heat (Q^?) and (b) moisture removal from the air. (c) What-if Scenario: What would the rate of heat removal be if moist air entered the dehumidifier at 95 kPa instead of 1 atm?

Air at 28 °C, 1 bar, 50% relative humidity enters an insulated chamber operating at steady state with a mass flow rate of 5 kg/min and mixes with a saturated moist air stream entering at 4 °C, 1 bar with a mass flow rate of 8 kg/min. A single mixed stream exits at 1 bar. Determine

(a) the relative humidity and temperature, in °C, of the exiting stream.

Five kilograms of steam contained in a 2-m3 cylinder at 40 kPa is compressed isentropically to 5000 kPa. What is the work needed?

Please show correct work.

Answer: 185 kJ