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Question: 1 water from a purification plant is to be stored...

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1. Water from a purification plant is to be stored in a tank that is located at a height of 100 m and supplies water needed for a chemical factory. The average consumption of water by the factory is 1000 gallons/h (3.785 m3/h) (a) Calculate the pressure head (to overcome gravity) necessary to raise the water to the 100 m elevation. less than 0.15 m/s overcome gravity) must be considered? (b) For the given flow rate, choose a pipe diameter that would give a flow speed of (c) For the pump selection, what other factor/s beside the pressure head (to 2. The combustion efficiency of the engine of an automobile varies as Vn where V is the automobile speed, and the frictional force on the car varies as Vm. The fuel consumption rate U is found to have the following relation with V and Vm Vn where n, m, A, B, and C are constants. Calculate the optimized speed V* at which the fuel consumption rate is minimized A heat pump is being designed to supply 12 kW to a residential unit when the ambient temperature is approximately 0°C and the interior temperature is 20°C Using any appropriate conceptual design, list the design variables, constraints, and requirements. Obtain an acceptable design to achieve the given requirements. If the energy consumption is to be minimized, formulate the optimization problem. 3. 4. Water is to be taken from a purification unit to a storage tank by using two flow circuits as shown below in the figure. The efficiency h of each pump, in percent is given as and the pressure head P, in meters of water, versus mass flow rate m in kilograms per second is given below for the two pumps as P-20-m and P-10-0.51nTank 2 Purification plant Either both or a single pump may be used at a given time. If the energy consumption is to be minimized, formulate the optimization problem and present the resulting method of filling the tank.

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