The Splash River has a flow rate of
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Chapter 16 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
- A hydroelectric power plant site where the average elevation of the headwater is 565 m, the tailwater elevation is 485 m. The base of the centerline of the turbine nozzle is 10 m above the tailrace and the water flow was determined to be equal to that volume flowing through a rectangular channel 9 m wide and a depth of 1.20 m and an average velocity of 4.6 m/s. If the turbine efficiency is 95%, penstock efficiency is 90%, generator efficiency is 85%. The plant is operated 24 hours a day with a load factor of 0.70 and the utilization factor of 0.75. If the turbine is an impulse turbine, determine; The power output of the turbine. The average annual energy production.arrow_forwardA summer camp is located near a 16.7 m waterfall. Tests show that the stream delivers a minimum of 7.645 m³ / min in the course of a year. It is proposed to install a 3-phase induction motor and drive it as a generator. Calculate the approximate horsepower of the motor that could harness 80% of the capacity of the falls.arrow_forwardConsider a double-rectangular flow channel composed of an outer rectangular channel and an inner rectangular channel. The width and height (or gap) of the inner rectangular channel are 60 and 20 mm, respectively, whereas the width and height of the outer rectangular channel are 100 and 40 mm, respectively. Oil and water, respectively, flow through the inner and outer rectangular channels, and the oil and water flow direction is the same. The flow rates of the oil and water are 0.2 and 0.3 kg/s, respectively. The important information for the thermal analysis is given below. The wall thermal resistance is 0.01 (m²-K)/W. If the flow is turbulent, the Dittus-Boelter correlation should be used for estimating the heat transfer coefficient. If the flow is laminar, the Nusselt numbers for water and oil are given as 4.01 and 5.63, respectively. The oil and water enter at temperatures of 100 and 30 °C, respectively. Oil: Specific heat capacity=2131 J/(kg K), Viscosity-3.25×10 N-s/m², Thermal…arrow_forward
- Consider a double-rectangular flow channel composed of an outer rectangular channel and an inner rectangular channel. The width and height (or gap) of the inner rectangular channel are 60 and 20 mm, respectively, whereas the width and height of the outer rectangular channel are 100 and 40 mm, respectively. Oil and water, respectively, flow through the inner and outer rectangular channels, and the oil and water flow direction is the same. The flow rates of the oil and water are 0.2 and 0.3 kg/s, respectively. The important information for the thermal analysis is given below. The wall thermal resistance is 0.01 (m¹-K)/W. If the flow is turbulent, the Dittus-Boelter correlation should be used for estimating the heat transfer coefficient. If the flow is laminar, the Nusselt numbers for water and oil are given as 4.01 and 5.63, respectively. The oil and water enter at temperatures of 100 and 30 °C, respectively. Oil: Specific heat capacity=2131 J/(kg K), Viscosity-3.25x10 N-s/m², Thermal…arrow_forwardConsider a double-rectangular flow channel composed of an outer rectangular channel and an inner rectangular channel. The width and height (or gap) of the inner rectangular channel are 60 and 20 mm, respectively, whereas the width and height of the outer rectangular channel are 100 and 40 mm, respectively. Oil and water, respectively, flow through the inner and outer rectangular channels, and the oil and water flow direction is the same. The flow rates of the oil and water are 0.2 and 0.3 kg/s, respectively. The important information for the thermal analysis is given below. The wall thermal resistance is 0.01 (m²-K)/W. If the flow is turbulent, the Dittus-Boelter correlation should be used for estimating the heat transfer coefficient. If the flow is laminar, the Nusselt numbers for water and oil are given as 4.01 and 5.63, respectively. The oil and water enter at temperatures of 100 and 30 °C, respectively. Oil: Specific heat capacity=2131 J/(kg K), Viscosity-3.25×102 N-s/m², Thermal…arrow_forwardConsider water flow through two identical channels with square flow sections of 4 m × 4 m. Now the two channels are combined, forming a 8-m-wide channel. The flow rate is adjusted so that the flow depth remains constant at 4 m. Determine the percent increase in flow rate as a result of combining the channels.arrow_forward
- A submerged sharp crested weir 0.81 m high stands clear across a channel having vertical sides and width of 3.15 m. The depth of water in the channel of approach is 1.26 m, and 10.5 m downstream from the weir the depth of water is 0.93 m. Determine the discharge in litres per minute. Assume Cd1 = 0.58 and Cd2 = 0.80.arrow_forwarda) A pump delivers water at a temperature of 20 °C from one reservoir to another high reservoir. The water level difference between the two reservoirs is 6 m. A galvanized iron piping system consists of a 20 m delivery pipe, 10 cm diameter, a reentrance entrance, two long sweep elbows 90°, and an exit. Sketch the diagram with the relevant hydraulic and energy grade line. b) With the help of a Moody chart given in the Appendix, determine the pump efficiency required by the pump's in Q3(a) if the pumping power and flow rate are 2 kW and 40 m³/h, respectively.arrow_forwardEAH 225 HYDRAULICS - Open Channel Hydraulics Tutorial : Application of the Energy Equation and Hydraulic Jump The discharge of water over a spillway 12 m wide is 283 m/s into a stilling basin of the same width. The Bukit Merah lake level behind the spillway has an elevation of 60 m, and the Kurau River water surface elevation downstream of the stilling basin is 30 m. Assuming a 10 percent energy loss in the flow down the spillway, find the invert elevation of the floor of the stilling basin so that the hydraulic jumps forms in the basin. Bukit Merah Lake River Kurau 60 m Stilling Basin 30 m DATUM Spillwayarrow_forward
- Water is flowing in an open channel at a depth of 2 m and a velocity of 6 m/s. It flows down a chute into another channel where the depth is 1 m and the velocity is 19 m/s. Neglecting friction, determine the difference in elevation (meter) of the channel floors.arrow_forwardThis problem is useful for the preliminary design of a hydroturbine. From the material learned in this chapter, it is fairly simple to estimate how much power a hydroturbine can generate, given only the flow rate of water and the elevation difference upstream and downstream of the dam. A dam has a gross head of 15.5 m and a flow rate of 0.22 m3 /s. Approximating the overall efficiency of the turbine/generator to be 75%, estimate the electrical power (in kW) that couldbe produced.arrow_forwardWater is flowing uniformly in a finished-concrete channel of trapezoidal cross section with a bottom width of 0.8 m, trapezoid angle of 50°, and a bottom angle of 0.4°. If the flow depth is measured to be 0.52 m, determine the flow rate of water through the channel.arrow_forward
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