The blade of a gas turbine engine contains internal cooling passages, as shown in Fig.
9.25 & Compute the volume flow rate of air required to produce an average velocity of flow in each passage of
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Applied Fluid Mechanics
- The velocity distribution in a fully developed laminar pipe flow is given by where UCL is the velocity at the centerline, and R is the pipe radius. The fluid density is ρ, and its viscosity is µ. (a) Find the average velocity . (b) Write down the Reynolds number Re based on average velocity and pipe diameter. At what approximate value of this Reynolds number would you expect the flow to become turbulent? Why is this value only approximate? (c) Assume that the stress/strain rate relationship for the fluid is Newtonian. Find the wall shear stress τw in terms of µ, R and UCL. Express the local skin friction coeffient Cf in terms of the Reynolds number Re.arrow_forwardA liquid having a Reynolds number of 2900 flows thru a 150 mm diameter pipe, 200 m long. The head loss of the pipe due to friction is 18 m. (a) Compute the friction factor (b) determine Fluid velocity (c) compute the kinematic viscosity of the liquid in m²/s (d) Compute the rate of flow in liters/hour .arrow_forwardThere is a PVC pipe, with an internal diameter of 28 mm. The Reynolds number for this system is 1500. The percentage of error that represents the accuracy in the estimation of the friction factor, by the Swamee-Jain and Colebrook-White method, is in a range of (4-5)% . Hint Use 7 decimal places in calculating the friction factor and remember that the best method to estimate the friction factor is Colebrook-White. True or false?arrow_forward
- Covert 15.14 poises to kinmetic viscosity in square feet per second if the liquid has a specific gravity of 0.964 Answer is in ft2/sarrow_forwardCalculate the fitting coefficient, , for the sudden expansion when fluid flows from a tube with a radius of 6 mm, to one with a radius of 24 mm. Assume the Reynolds number is 5,000 in the first tube. Enter your answer in decimal form, not scientific notation.arrow_forwardCalculate the Reynolds number of a fluid flowing with a mass flowrate of 20 kg/min through a pipe of diameter 25 mm. The fluid has a viscosity of 0.0015 Ns/m2arrow_forward
- Question 7. Since the velocity of the fluid passing through the 4 mm diameter pneumatic pipe in the pneumatic system is 200 cm/s; a) What is the flow rate of the compressed air in lt/min? b) Calculate the velocity of the air passing through 6 mm diameter in the same pressure line.arrow_forwardThe effect of parallel tubes on flow rate The effect of parallel tubes on flow rate. A: the fluid reservoir is placed on top of the bench (Figure 4A) to give a pressure head. This is connected to the flow module by rubber tubing with a clamp on it. A 5-mL volumetric flask is used to collect fluid, and the time taken with different numbers of tubes in parallel is recorded on a stopwatch. (Figure 4B) The calculated flow rate plotted against the number of tubes. Interpret the graph What variable is the addition of more tubes in parallel affecting? What are the benefits to the tissue of having more blood vessels in parallel?arrow_forwardWrite relation of resistance and viscosity with co-efficient of discharge.arrow_forward
- Water is pumped from a reservoir to a tank with a lift of 20.0 ft. The suction pipe, which connects the reservoir to the pump, has a 12in diameter and is 25ft long. The discharge pipe, which connects the pump to the tank, has a 10in diameter and is 450ft long. Both pipes may be classified as clean, smooth cast iron pipes. The suction pipe projects into the reservoir and discharge pipe projects into the tank. Considering all losses, calculate the horsepower required to operate the pump to discharge 1346 gpm into the tank.arrow_forwardPure ethyl alcohol at 35°C is flowing inside a 2-inch diameter plastic pipe at a flow rate of 0.13 m3/s.What is the: a. density of fluid in kg/m^3b. viscosity of fluid in cpc. velocity of the fluid in m/sd. Reynold's number of fluide. type of fluid flow (laminar, turbulent, transitional)arrow_forwardInorder to achieve a liquid flow rate of 500 gal/min with a maximum pressure difference of 42 psi, calculate the value of valve flow coefficient. The specific gravity of liquid is 1.3.arrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning