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Chapter 6 Solutions
Fundamentals of Heat and Mass Transfer
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- Solve the problem and show your complete solution. A thermodynamic steady flow system receives 4.65 kg per min of a fluid where p, = 137.90 kPa, v, = 0.6209 ft/lbm, V, = 122 m/s, and u, = 17.16 kJ/kg. The fluid leaves the system at a boundary where p, = 551.6 kPa, v, = 0.193 m/kg, v, = 600 ft/s, and u = 52.80 kJ/kg. through the system the fluid receives 3,000 J/s of heat. Determine the work. %3D %3D During passagearrow_forwardha5.52 An astronaut in an excursion module approaches a space station docking coilar. The designer of the collar incorporated a spring to attenuate the shock due to docking. The spring constant is k = 4800 N/m. The combined mass of the astronaut and mod- ule is 780 kg. If the module contacts the docking collar moving at 0.1 m/s relative to the collar, what distance is required for the spring to decrease its relative velocity to zero? What is the mod- ule's maximum relative deceleration? Excursion module Docking collar P15.52arrow_forwardFor the piping system shown below, water is flowing from left to right at steady-state and constant temperature. You may assume the flow is frictionless. The pipe diameter is larger in section A than section B. The diameters of sections A and C are the same. If gravitation and frictional effects are negligible, which of the following relationships is true about the static pressure in sections A and B? Pc Ps Flow section A section B section C OPA Pg because pressure decreases as velocity increases at steady-state OPA = Pg because friction is assumed to be negligiblearrow_forward
- Fluid Mechanics:arrow_forwardFluid mechanics Iarrow_forwardAir is compressed by a compressor in steady-state operation, i.e. the inlet mass flow rate qm is constant in time. The compressor is airtight. The area of the inlet and outlet cross-section is A and AOUT, respectively. The outlet-to-inlet density ratio is PouT PIN the outlet-to-inlet mass flow rate ratio is 9m-OUT/9m-IN- What is the outlet-to-inlet volume flow rate ratio? 9V-OUT/av-IN =? Select one: a. 9V-OUT/av-IN = (A OUT'A IN) (POUT PIN b. 9V-OUT/av-IN = PIN/POUT C. 9V-OUT/av-IN = 9m-OUT/ 9m-IN d. 9V-OUT/av-IN=AOUTAINarrow_forward
- 2. Find the Diameter of a wind turbine rotor which generates 210 kW of electrical power output in a steady wind velocity of 8.5 m/sec with the power coefficient is 63%. The gear, generator and electric efficiencies are 95%, 96% and 89% respectively. Assume the atmospheric air condition is 1.01325 bar, Gas Constant R = 287 J/kg K at 29°C.arrow_forwardBelow is the dynamics of heat transfer: A container in an oven for instance dTc 1 1 ·TC+⋅ dt R+Ct -Tamb R+Ct In this equation, the container temperature Tc is the Output and the ambient temperature Tamb is the input. Thermal resistance and capacitance values are C+=7000 J/°C and R₁ = 0.0142858 W/°C. Initial condition is zero: Tc (0) = 0 °C. Obtain the transfer function of the system Create a table to compute its frequency response characteristics by considering low frequency region and high frequency region. Also consider a middle frequency. For low frequency region, consider a = 1e - 4 rad/s and w=1e-3-rad/s. For middle frequency, consider w=1e- 2 rad/s. For high frequency region, consider w = 1e-1 rad/s and w=1rad/s Using the magnitude and phase responses you tabulated, hand-sketch its Bode diagram. Clearly show low frequency and high frequency assumptions your drawing. Smoothen the diagram by considering the magnitude and phase at the middle frequency.arrow_forwardA thermodynamic steady flow system receives 11 lbm/s of a viscous fluid where P1 = 40 psi, ρ1 = 70 lbm/ft^3, V1 = 350 ft/s, and u1 = 227 lbf/lbm. The elevation of the inflow is at zero-elevation. The fluid leaves the system at 100-foot elevation at a boundary where P2 = 18 psi, ρ2 = 80 lbm/ft^3, V2 = 400 ft/s, and u2 = 150 ft-lbf/lbm. During passage through the system, the work done by the fluid is 90 ft-lbf/lbm. Determine the heat added/rejected to/by the system. Assume g = 31.20 ft/s^2.arrow_forward
- 4. Water and acetone are mixed in a tank of volume V = 1 m³. Water (density of pw = 1 g/cm?, specific heat at constant pressure Cpw = 4.18 kJ/(kg K)) enters the tank through a pipe of cross section A1 at a speed u =1 m/s and temperature T = 20°C. Acetone (density of pa = 0.784 g/cm³, specific heat at constant pressure Cpa = 2.15 k.J/(kg K)) enters the mixing tank through a pipe of cross section A, = 5 cm?, at a speed u2 = 0.5 m/s and temperature T2 = 20°C. Heating coils maintain a temperature T the tank. Stirrers provide 50 kW of work. The water acetone mixture is extracted through a pipe of cross section Az = 7 cm?. Note that internal energy per unit mass is calculated as e = C,T – p/p. 10 cm?, 40°C within (a) Calculate the exit velocity of the mixture uz. (b) Calculate the mixture density at the exit pm. (c) Calculate the head added per unit time Q. Note that the mixture specific heat is Pwl1A1Cp,w + Pal2 A2C,,a Cp,m = Pm U3 A3arrow_forwardl MTN 1/1 4:26 PM 80% An oil with density 900 kg/m3 and flow rate 0.0002 m2/s flows upward through an inclined pipe as shown in figure below, The pressure at sections 1 and 2 are P1 = 350 kPa and P2 = 250 kPa, and the elevation at section 1 z1 = 0, Sections 1 and 2 are 10 m apart (L = 10 m) and the pipe is inclined at 40°. The pipe diameter is 6 cm. Assuming steady laminar flow, (a) Verify that the flow is up, (b) Compute hr between 1 and 2, (c) What is the flow rate Q, (d) Find the flow velocity, V, (e) Verify if the flow is really laminar. Flow OR directionarrow_forwarda thermodynamics steady flow system receive 5kg/min of fluid where P1=138 kPa, V1=0.042 m3/kg V1=122m/s and u1=18.2 KJ/kg. The fluid leaves the system at a boudary where P2=550.6 kPa, V2=0.193 m3/kg, V2= 183 m/s and u2= 52.8 KJ/kg. During passage through the system the fluid receives 3000 J/s of heat. Determine the work (KJ/min)arrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning