At what distance r from the centre of a tube of radius r0 does the angular velocity occur in laminar flow
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At what distance r from the centre of a tube of radius r0 does the angular velocity occur in laminar flow?
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- The duct has a cross section 15 cm x 20 cm made of commercial steel, has air flowing steadily at 1 atm and 35C and at an average velocity of 7m/s. Solve for the fan power requirement in W disregarding the entrance effects. The length of the duct is 10 m long. Round your answer to 4 decimal places.The 100-mmmm-diameter pipe is connected by a nozzle to a large reservoir of air that is at a temperature of 60 ∘C∘C and absolute pressure of 550 kPakPa . The backpressure causes M1>1M1>1, and the flow is choked at the exit, section 2, when L� = 5 mm. Assume a constant friction factor of 0.0085 throughout the pipe. Gas constant for air is R� = 286.9 J/[kg⋅K]J/[kg⋅K] and its specific heat ratio is k� = 1.40. (Figure 1) Determine the mass flow through the pipe. Express your answer using three significant figures.Consider an air solar collector that is 1 m wide and 5 m long and has a constant spacing of 3 cm between the glass cover and the collector plate as shown in Figure below, Air flows at an average temperature of 45°C at a rate of 0.15 m/s through the 1-m-wide edge of the collector along the 5-m-long passageway. Disregarding the entrance and roughness effects and the 90° bend, determine the pressure drop in the collector.
- A highly viscous liquid discharges from a large container through a small-diameter tube in laminar flow. Disregarding entrance effects and velocity heads, obtain a relation for the variation of fluid depth in the tank with time.Consider an air solar collector that is 1 m wide and 4 m long and has a constant spacing of 3 cm between the glass cover and the collector plate. Air flows at an average temperature of 45°C at a rate of 0.12 m3/s through the 1-m-wide edge of the collector along the 4-m-long passageway. Disregarding the entrance and roughness effects and the 90° bend, determine the pressure drop in the collector.A 1.0 m radius cylindrical industrial tank filled with viscous oil to a level at a height h from its base, must be drained through a tube with a radius of 0.2 m and length L, connected to its base. The speed profile of oil in the drain tube can be described by the equation below. Where v is the oil speed, vmax is a = maximum oil speed, r is the radius, and R is the tube radius. Considering this problem situation, do what is asked in the following items, justifying your answers. a) What is the volume, in liters, of oil removed from the tank after 10 seconds, if the maximum discharge speed does the oil reach 0.35 m/s? Data: π ≈ 22/7; 1 m3 = 1000 L. b) What flow regime does the system operate? Demonstrate. Data: specific mass of oil = 800 kg/m3, specific mass of water = 1000 kg/m3, oil viscosity = 0.056 Pa.s e viscosity of water = 0.001 Pa.s.
- Fluid of constant density is flowing at a velocity of 0.5 meter per second into a horizontal nozzle of decreasing cross-section. The velocity of water ,in meter per second, going out of the nozzle if the diameter at the exit point is 1/3 the diameter in the entry point isFor these velocity distributions in a round pipe, indicate whether the kinetic-energy correction factor ∝ is greater than, equal to, or less than unity.Air at a temperature of 20 oC flows at a speed of 10 m/s through a rectangular duct made of wrought iron with a cross section of 30 cm x 50 cm and a length of 20 m. Calculate the required fan power
- What are the two mechanisms theoretically considered in turbulent flow?1. Why we use Reynolds number instead of mean velocity as thecriteria to judge the flow state passing through the pipe? 2. Does the ReDL or the ReDU change when the diameter is changed?3. If we replace the pure water with the oil (Newtonian fluids), doesthe lower limit Reynolds number be the same? Why?What is turbulent viscosity? What causes it?