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Assessment for MEC2003

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The jet of water shown below strikes a stationary vane. The water has a density of 1000 kg/m3 and a shear viscosity of 1 mPa.s. The pipe is of circular cross section with an internal diameter of 100 mm and is 20 m long. The internal surface of the pipe has a relative roughness height of 0.2 mm. The water travels through the pipe at a bulk velocity of 5 m/s. The pipe is connected to a nozzle by a coupler which has two clamps. The nozzle has an internal diameter of 50 mm and a loss coefficient of Kn = 1 (ignore the skin-friction drag within the nozzle). The water jet is deflected in the horizontal plane only, at an angle of 60o to the vane. Ignore any friction on the vane surface. Assume steady flow and ignore the effects of gravity throughout your analysis.

\n

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friction factor of pipe

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Power to pump fluid

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Pressure drop in kPa

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Tension in coupler, in kN

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Use the Moody Chart to calculate the friction factor through the pipe. 

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Calculate the pressure drop from the start of the pipe to the exit of the nozzle. Provide your answer in kPa.

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Use the steady-flow linear momentum equation to calculate the tension in each clamp on the coupler. You may assume that the tension force acts in the horizontal direction only. Provide your answer in kN. Both positive and negative answers will be marked correctly. 

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Use the steady-flow linear momentum equation to calculate the magnitude of force, $F_v$, acting on the stationary vane. Provide your answer in Newtons. 

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The water jet causes the vane to move in the positive x-direction at a speed of 10 m/s. Use the steady-flow linear momentum equation to calculate the new magnitude of force acting on the moving vane. Provide your answer in Newtons. 

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A centrifugal pump rotates at 1500 revolutions per minute to transport water with a bulk velocity of 1 m/s through a circular pipeline which has an internal diameter of 300 mm. The total head rise delivered by the pump is 25 m, and the total hydraulic head loss through the pump is 5 m. The impeller has an inner diameter of 120 mm, and the width of the inlet to the impeller is 60 mm. The circumferential area of the impeller inlet and outlet is reduced by 12% due to the effect of vane thickness, and the radial velocity through the impeller is constant. The vane outlet angle is 60o to the radial direction. The volumetric efficiency is 96%, the mechanical efficiency is 90%, and the reduction in theoretical head due to relative circulation is 29%. Assume no swirl at the inlet to the impeller.

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Radial veloicty through impeller

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Blade tip speed at outlet of impeller

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Outer diameter of the impeller in mm

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Width of impeller at outlet in mm

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Input motor power in kW

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Overall efficiency

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Inlet vane angle for shockless in flow, in degrees. 

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Calculate the radial velocity through the impeller. Provide your answer in m/s.

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Calculate the blade-tip speed, $u_2$ at the impeller outlet. Provide your answer in m/s.

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Calculate the outer diameter of the impeller. Provide your answer in mm. 

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Calculate the width of the outlet of the impeller. Provide your answer in mm. 

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Calculate the overall efficiency of the pump. Provide your answer as a percentage. 

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Calculate the input (motor) power to the pump. Provide your answer in kW. 

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Calculate the vane inlet angle to ensure shock less inflow. Provide your answer in degrees.   

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Identify all correct statements from the list below.

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Note that two marks will be deducted for each wrong answer selected. The minimum mark for this part of the assessment is zero. 

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Please note that you have not attempted this part of the assessment. 

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You have 5 minutes remaining to complete the exam. 

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ENG2027: Applications of Engineering Fluid Mechanics

This Assessment is worth 100% of the module. 

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This is an open-book assessment. 

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Answer all the questions. 

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Unless otherwise stated in the Question the following values may be assumed:

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