1) Convert the flow rate of natural gas is = 22.913x106 Sm3/s to m3/s ? Note: the gas export line for transportation of 70 MMSCFD natural gas with a molecular weight of 19.3 relative density of natural gas is 0.67 The ambient temperature is 5°C and the gas viscosity at the average pipeline temperature is 1.1x10-6 cP. The gas inlet temperature is 35°C and pressure is 13.0 MPa (absolute) inside diameter of pipe (190 mm) The total length of pipe is (43 km)
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- Assuming the clearance is negligible for a single stage compressor with the followingdata.Atmospheric pressure: 90 kPaAtmospheric temperature: 17 ˚CDelivery pressure: 7 barFree air delivery flow rate: 0.2 m3/minTake “n” as 1.3, cp = 1.005 kJ/kg K, cv = 0.718 kJ/kg K 1. What is the power input to the compressor in kW to 2 decimal places if the compression is polytropic compression process with n=1.25? 2. What is the delivery temperature of air for an isentropic compression process in Kelvin to 1 decimal place? 3. What is the power input to the compressor in kW to 3 decimal places if the compression reversible isothermal?3. In a refinery, certain oil with sp.gr 0.9 flows with a velocity of 2 m/s in a pipe of diameter 30cm. Along the flow, the pipe diameter gets reduced to 25 cm. Determine the velocity and mass flow rate of oil at this section. 4. A circular pipe of uniform diameter 500mm carries water under pressure 30 N/cm2 . The mean velocity of water at the inlet (at the datum) is 2.0 m/s. Find the total head or total energy per unit weight of the water at a cross-section, which is 5 m above the datum line. 5. A tapered pipe, through which water is flowing, is having diameter, 30cm and 20 cm at the cross-sections 1 and 2 respectively. The velocity of water at section 1 is given as 3.5m/s. Find the velocity head at section 1 and 2 and also rate of discharge. 6. Water is flowing through a pipe having diameter 300mm and 200 mm at the bottom and upper end respectively. The pressure at the lower(bigger) end is 25 N/cm2 and the pressure at the upper end is 10 N/cm2. Determine the difference in datum…Water (cp = 4197 J / kgC, k = 0.67W / mC, Pr = 2.2, dynamic viscosity = 352 * 10 ^ -6 Ns / m ^ 2) with a flow rate of 0.01 kg / s and an inner diameter of 0.1 m at 20C temperature It is requested to be heated to 80C. If the pipe inner wall is kept constant at 120C, what is the average logarithmic temperature difference with fully developed flow acceptance? a. 65.48 C b. 43.3 C. c. 316.3 K D. 723.4 K e. 2300 K.
- In Batangas, one of its power plant has been thoroughly monitored for a possible conversion into a wind power plant. A propeller wind turbine is to be used. Survey showed that Batangas City has an average air velocity of10km/hr at 30 . The existing power plant has an output of 30MW. For the proposed wind power, the mechanical electrical efficiency is 70%. And the impeller diameter is assumed not more than 10m. Determine the following:a. Theoretical Wind Power Outputb. Electrical Power Outputc. Number of turbines to be installedWater at 20°C flows in a 100-mm-diameter new cast iron pipe with a velocity of 5.0 m/s. Determine thepressure drop in kPa per 100 m of pipe and the power lost (in kilowatts) to friction.Ans. 314 kPa per 100 m, 12.36 kW per 100 m [Note: Indicate the formula used in determining the friction factor. (Colebrook Equation, Haaland Equation, andor Swamee Jain Equation). If not given, Use properties of fluid based on temperature available on the internet. E.g. (density, viscosity) . Apply roughness of pipe values from https://www.pipeflow.com/pipe-pressure-drop-calculations/pipe-roughness}Problem 1 •Through a refinery, fuel ethanol is flowing in a pipe at a velocity of 1 m/s and a pressure of 101300 Pa. The refinery needs the ethanol to be at a pressure of 2 atm (202600 Pa) on a lower level. How far must the pipe drop in height in order to achieve this pressure? Assume the velocity does not change. (Hint: Use the Bernoulli equation. The density of ethanol is 789 kg/m3 and gravity g is 9.8 m/s2.Pay attention to units!)
- Water at 27°C flows with a mean velocity of 1 m/s through a 1 km-long pipe of 0.25 m inside diameter. Answer the following: a. Is the flow hydrodynamically fully developed? Support your answer with calculations. b. Is the flow thermally fully developed? Support your answer with calculations. c. What is the pressure drop over the pipe length, if the pipe surface is smooth? (Ans: 0.289 Bar) d. What is the pump power requirement, if the pipe surface is smooth? (Ans: 1.42 kW)A garden hose with an inside diameter of 2 cm carries water with a mass flow rate of 60 liters per minute at 20°C with an enthalpy of 83 kJ/kg. Pression is 78KPa. The outlet of the hose has a tube that changes its diameter. a) What will be the outlet diameter to achieve a speed of 1 m/s b) What is the enthalpy change of the fluid?14. Through a refinery, fuel ethanol is flowing in a pipe at a velocity of 1 m/s and a pressure of 101300 Pa. The refinery needs the ethanol to be at a pressure of 2 atm (202600 Pa) on a lower level. How far must the pipe drop in height in order to achieve this pressure? Assume the velocity does not change. (Hint: Use the Bernoulli equation. The density of ethanol is 789 kg/m3 and gravity g is 9.8 m/s2
- You are being tasked as a wind tunnel engineer to investigate the performance of newly designed high-speed wind tunnel in UPNM. An exhaust gas flows through a nozzle where the inlet area is 5,000 cm2.At this inlet, the gas has a velocity of 1,200 m/s, temperature of 1,500oC,and pressure of 6,000 kPa. Initial measurement revealed that the pressure at the exit of the wind tunnel is 100 kPa. Based on this information, analyze and investigate ; i. Mach number at inlet of the nozzle ii. The velocity of gas at exit iii. The area of the nozzle at exit Take specific heat ratio for the exhaust gas, ? to be 1.7 and the gas constant, R to be 205 J/kg.Assuming the clearance is negligible for a single stage compressor with the followingdata.Atmospheric pressure: 90 kPaAtmospheric temperature: 17 ˚CDelivery pressure: 7 barFree air delivery flow rate: 0.2 m3/minTake “n” as 1.3, cp = 1.005 kJ/kg K, cv = 0.718 kJ/kg K 1. What is the power input to the compressor if compression is isentropic in kW to 3 decimal places? 2. What is the power input to the compressor in kW to 3 decimal places if the compression reversible isothermal?A gasoline engine is at a location where the temperature is measured to be 14.8 °C and produces 300 kW at 5800 rpm while consuming 0.0184 kg/s of fuel. During operation, data shows that its mechanical energy loss is 18 %, the actual volume of air going into each cylinder is 80% (the volumetric efficiency has a negligible variation), and the actual fuel-to-air ratio is 0.065. What were the engine parameters at sea level conditions if the pressure here is 99.3 kPa and the temperature here is 18 0C hotter than that of the elevated condition? Determine at sea-level conditions the Brake Power in kW.