Crude bio-oil is a mixture that composed of the bio-oil and crude water (contaminated water). To...
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Crude bio-oil is a mixture that composed of the bio-oil and crude water (contaminated water). To collect the bio-oil, the crude water is allowed to settle naturally (due to density difference) until the formation of two distinct layers (bio-oil top layer and crude water bottom layer). The density of bio-oil and crude water is 880 kg/m3 and 970 kg/m, separately. The settled crude water will be later discharged until the reservoir just storing the bio-oil. The crude water flow from the reservoir is controlled by a 6.95-m-wide L-shaped gate hinged at the point B. To close the gate, a mass with unknown weight W at the point A and a fixed ridge at the point C are used to exert some external forces on the gate. It is known that the gate will open when the fluid mixture (crude water + bio-oil) level in the reservoir accomplishes the total height of 15.38 m. 4.71 m - Bio-oil L-shaped gate FRA 3/5 a 18.65 m a = 15.38 m FR2 Crude water Ridge 2/5 a FRidge (a) Find the individual submerged area of L-shaped gate that in contact with the bio-oil (A,) and the crude water (A2) by treating the gate as a flat plate. [2 marks] (b) Calculate the vertical heights from the free surface to centroid (hci and hz) and centre of pressure (hp, and hp,) of the gate that subjected to the hydrostatic pressures caused by the bio-oil layer and crude water layer. [Hint: This is a multifluid system! Make use of the figure to check the validity of your answers.] [4 marks] (c) Calculate the individual average hydrostatic pressures from bio-oil layer and crude water layer that acting on the gate. [Hint: It is a multifluid system! No straightforward computation for that of crude water.] [4 marks] (d) Calculate the magnitude of the individual and sum of hydrostatic forces (caused by bio-oil layer and crude water) that acting on the gate surface. [6 marks) EKB 2063 (B. E. Hons - Chemical Engineering) March 2021 CONFIDENTIAL 4/7 (e) By performing the moment balance at appropriate points, calculate the required weight (W) and the force exerted by the ridge (Fridge) to shut the gate. [Hint: Two moment balances are required. Beware on the value of perpendicular distance used!] [4 marks] Crude bio-oil is a mixture that composed of the bio-oil and crude water (contaminated water). To collect the bio-oil, the crude water is allowed to settle naturally (due to density difference) until the formation of two distinct layers (bio-oil top layer and crude water bottom layer). The density of bio-oil and crude water is 880 kg/m3 and 970 kg/m, separately. The settled crude water will be later discharged until the reservoir just storing the bio-oil. The crude water flow from the reservoir is controlled by a 6.95-m-wide L-shaped gate hinged at the point B. To close the gate, a mass with unknown weight W at the point A and a fixed ridge at the point C are used to exert some external forces on the gate. It is known that the gate will open when the fluid mixture (crude water + bio-oil) level in the reservoir accomplishes the total height of 15.38 m. 4.71 m - Bio-oil L-shaped gate FRA 3/5 a 18.65 m a = 15.38 m FR2 Crude water Ridge 2/5 a FRidge (a) Find the individual submerged area of L-shaped gate that in contact with the bio-oil (A,) and the crude water (A2) by treating the gate as a flat plate. [2 marks] (b) Calculate the vertical heights from the free surface to centroid (hci and hz) and centre of pressure (hp, and hp,) of the gate that subjected to the hydrostatic pressures caused by the bio-oil layer and crude water layer. [Hint: This is a multifluid system! Make use of the figure to check the validity of your answers.] [4 marks] (c) Calculate the individual average hydrostatic pressures from bio-oil layer and crude water layer that acting on the gate. [Hint: It is a multifluid system! No straightforward computation for that of crude water.] [4 marks] (d) Calculate the magnitude of the individual and sum of hydrostatic forces (caused by bio-oil layer and crude water) that acting on the gate surface. [6 marks) EKB 2063 (B. E. Hons - Chemical Engineering) March 2021 CONFIDENTIAL 4/7 (e) By performing the moment balance at appropriate points, calculate the required weight (W) and the force exerted by the ridge (Fridge) to shut the gate. [Hint: Two moment balances are required. Beware on the value of perpendicular distance used!] [4 marks]
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