
Consider an airfoil in a Mach 0.5 freestream. At a given point on the airfoil, the local Mach number is 0.86. Using the compressible flow tables at the back of this book, calculate the pressure coefficient at that point. Check your answer using the appropriate analytical equation from this chapter. [Note: This problem is analogous to an incompressible problem where the freestream velocity and the velocity at a point are given, and the pressure coefficient is calculated from Equation

Want to see the full answer?
Check out a sample textbook solution
Chapter 11 Solutions
Fundamentals of Aerodynamics
- 3 0/10 points awarded Scored Consider steady flow of air through the diffuser portion of a wind tunnel. Along the centerline of the diffuser, the air speed decreases from entrance to exit as sketched. For the velocity field, calculate the fluid acceleration along the diffuser centerline as a function of x and the given parameters. For L = 1.56 m, entrance = 21.00 m/s, and exit = 17.5 m/s, calculate the acceleration at x = 0 and x = 1.0 m. Dexis Dentrance x=0 u(x) "exit "entrance x=L The acceleration at (x = 0) is -47 m/s². The acceleration at (x = 1.0 m) is 42.1 m/s. (Include a minus sign if necessary.)arrow_forwardO/10 5 points awarded Scored A bird is flying in a room with a velocity field of ▼ = (u, v, w) = (0.6xî + 0.2t j−1.4ĥ) m/s. The room is heated by a heat pump so that the temperature distribution at steady state is T(x, y, z) = (400–0.2(5x) 2-0.4y-0.6%) ˚C. Calculate the temperature change that the bird feels after 10.00 seconds of flight, as it flies through x = 1m. (Round the final answer to three decimal places.) The temperature change that the bird feels after 10.00 seconds of flight is 1.120 °C/s.arrow_forwardHot air at atmospheric pressure and 85°C enters a 10 m long un-insulated duct of cross section 0.15 m by 0.15 m that passes through the attic of a house at a rate of 0.1 m³/s. The duct surface is observed to be nearly isothermal at 70°C. Determine the exit temperature of the air and the rate of heat loss from the duct to the air space in the attic. Attic space Air 85°C 70°C 0.1 m²³½arrow_forward
- Please find attached picture.arrow_forward2. Consider a33m by 8 m wall 0.22 m thick, whose representative cross-section is given below. The thermal conductivities of the various materials used in W/m °C are KA-kF=2, ks=8, kc=20, kp=15 and kg-35. The left and right sides of the wall are maintained at uniform temperatures of 300°C and 100°C respectively. Assuming one-dimensional heat transfer determine, (a) the rate of heat transfer through the wall (b) the temperature at the point where the sections B, D and E meet and (c) the temperature drop across the section F. on 6cm Fig.Q2.Assignment Aarrow_forwardWater is heated from 12°C to 70°C as it flows through a 2 cm internal diameter, 7 m long tube. The tube is equipped with an electric resistance heater, which provides uniform heating throughout the surface of the tube. The outer surface of the heater is well insulated, so that in steady state operation all the heat generated in the water is transferred to the water in the tube. If the system is to provide hot water at a rate of 8 l/min, determine the power rating of the resistance heater. Also, estimate the inner surface temperature of the pipe at exit.arrow_forward
- The forming section of a plastics plant puts out a continuous sheet of plastic that is 3.2 m wide and 2 mm thick at a rate of 15 m/min. The temperature of the plastic sheet is 90°C when it is exposed to the surrounding air, and the sheet is subjected to airflow at 25°C at a velocity of 3 m/s on both sides along its surfaces normal to the direction of motion of the sheet. The width of the air-cooling section is such that a fixed point on the plastic sheet passes through that section in 2 s. Assume the density and Cp of the plastic sheet to be 56 kg/m³ and 1210 J/kgK. Determine the rate of heat transfer from the sheet to the air and the temperature of the plastic sheet at the end of the cooling section. Air 25°C mis go°c Plastic sheet 15m/minarrow_forwardA 2 mm diameter 10 m long electric wire is tightly wrapped with a 1mm thick plastic over whose thermal conductivity is k = 0.15 W/m. °C. Electrical measurements indicate that a current of 10 A passes through the wire and there is a voltage drop of 8 V along the wire. If the insulated wire is exposed to a medium at T = 30°C with a heat transfer coefficient of = 18 W/m². ºC, determine the temperature at the interface of the wire and the plastic cover in steady state operation. Also determine if doubling the thickness of the plastic cover will increase or decrease this interface temperature. O 7. = 30°C Electrical wire Insulation 10 marrow_forwardA house built on a riverside is to be cooled in summer by utilizing the cool water of the river, which flows at an average temperature of 15°C. A 15m long section of a circular air duct of 20 cm diameter passes through the water. Air enters the underwater section of the duct at 25 °C at a velocity of 3 m/s. Assuming the surface of the duct to be at the temperature of the water, determine the outlet temperature of the air duct. Also, determine the fan power needed to overcome the flow resistance in this section of the duct. Air 25°C, 3 m/s Assieme smooth duct surface Air River, 15ºC 15°C FIGURE P17-78arrow_forward
- 8. A system for heating water from an inlet temperature of T.; = 20°C to an out- = m, i let temperature of Tm, o 60°C involves passing the water through a thick- walled tube having inner and outer diameters of 20 and 40 mm. The outer sur- face of the tube is well insulated, and electrical heating within the wall provides for a uniform generation rate of ġ = 106 W/m³. = 0.1 kg/s, how long must the tube be to 1. For a water mass flow rate of m achieve the desired outlet temperature? 2. If the inner surface temperature of the tube is T is the local convection heat transfer coefficient at the outlet? = 70°C at the outlet, what D) Water D₁ = m= 0.1 kg/s = 40 mm D₁ = 20 mm Tm,i=20°C Inlet, i conv L -q= 106 W/m³ Outlet, o = 70°C m,o = 60°C Insulationarrow_forwardCalculate the deflection in the center of the beam and slope in support A using the overlapping methodarrow_forwardCalculate deflections and slopes at the free end by solving with the method of overlapping.arrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage LearningInternational Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE LRefrigeration and Air Conditioning Technology (Mi...Mechanical EngineeringISBN:9781305578296Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill JohnsonPublisher:Cengage Learning
- Automotive Technology: A Systems Approach (MindTa...Mechanical EngineeringISBN:9781133612315Author:Jack Erjavec, Rob ThompsonPublisher:Cengage Learning



