Consider an experimental exhaust system as shown in Figure Q5. The exhaust system can be considered...
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Consider an experimental exhaust system as shown in Figure Q5. The exhaust system can be considered as a Venturi device. The cross-section of the entire exhaust system is circular and the diameter of the inlet and the throat are d-350 mm and d3-200 mm, respectively. d-350 mm Exhaust Gas Inlet h=10 cm Throat d, 200 mm Oil, Par 850 kg/m Fig. Q5 - Schematic of the Venturi exhaust system A manometer with oil as the manometric fluid (pa-850 kg/m) is installed for differential pressure measurement between the inlet and the throat of the exhaust system. A Pitot tube is connected to the manometer at the inlet section (Point 2 in Figure Q5), and a difference in the oil height of h=10 cm is measured (Figure Q5). Three measurement points, Point 1, 2 and 3 along the centreline of the exhaust system are provided to assist analysis. a) State all the essential assumptions that must be made when applying the Bernoulli's equation along a flow streamline. Why these assumptions are important when using the Bernoulli's equation? [4 marks] b) Assume the density of exhaust gas remains constant throughout the test at Pexhaust-1.18 kg/m throughout and the static pressure at Point 1 is 198.1 kPa. Calculate the pressure at Point 2 (a stagnation point) and the volumetric flow rate of the exhaust gas flow. Hint: Derive the governing equations separately for the flow streamlines from Point 1-2 and Point 1-3 as well as using the information provided by the manometer. [12 marks] Consider an experimental exhaust system as shown in Figure Q5. The exhaust system can be considered as a Venturi device. The cross-section of the entire exhaust system is circular and the diameter of the inlet and the throat are d-350 mm and d3-200 mm, respectively. d-350 mm Exhaust Gas Inlet h=10 cm Throat d, 200 mm Oil, Par 850 kg/m Fig. Q5 - Schematic of the Venturi exhaust system A manometer with oil as the manometric fluid (pa-850 kg/m) is installed for differential pressure measurement between the inlet and the throat of the exhaust system. A Pitot tube is connected to the manometer at the inlet section (Point 2 in Figure Q5), and a difference in the oil height of h=10 cm is measured (Figure Q5). Three measurement points, Point 1, 2 and 3 along the centreline of the exhaust system are provided to assist analysis. a) State all the essential assumptions that must be made when applying the Bernoulli's equation along a flow streamline. Why these assumptions are important when using the Bernoulli's equation? [4 marks] b) Assume the density of exhaust gas remains constant throughout the test at Pexhaust-1.18 kg/m throughout and the static pressure at Point 1 is 198.1 kPa. Calculate the pressure at Point 2 (a stagnation point) and the volumetric flow rate of the exhaust gas flow. Hint: Derive the governing equations separately for the flow streamlines from Point 1-2 and Point 1-3 as well as using the information provided by the manometer. [12 marks]
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