A circular. hot gas jet at
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Fundamentals of Heat and Mass Transfer
- An end-burning rocket motor has a chamber diameter of 10 cm and a nozzle exit diameter of 8 cm. The density of the propellant is 1750 kg/m3 and the surface regresses at the rate of 1 cm/s. The gases crossing the nozzle exit plane have a pressure of 10 kPa abs and a temperature of 2200°C. The gas constant of the exhaust gases is 415 J/kg.K. Calculate the gas velocity at the nozzle exit plane in m/s.arrow_forward3. An unknown gas moving at a constant speed of 164 m/s enters a tube of constant crosssectional area at a rate of 3.00kg/s. Assuming the critical pressure and temperature are 767kPa and 140oC respectively for a given static condition at the entrance to the tube. Assumingthe ratio of specific heat and gas constant of the unknown gas to be 1.289 and 0.1889 kJ/kg Krespectively.Determinea) the static pressure, temperature and density at the entrance to the tubeb) stagnation temperature and pressurec) the Mach number of the gas at the entrance to the tubed) the cross sectional area of the tubee) the critical speedf) determine the unknown gas?arrow_forwardTen pound of CO2 per second with an initial temperature of 180 °F is allowed to expand with flow from a pressure of 6000 to 1000 mmHg gauge. At what process is work maximized? A. Isentropic B. Isochoric C. Isobaric D. Isothermal E. Polytropic (n=1.4)arrow_forward
- What is the Continuity Equation for steady flow processes?arrow_forwardAir at 20oC (density = 1.204 kg/m3) flows towards a rotating cylinder of diameter 1.50 m. If the velocity of the air is 100 km/h and the cylinder rotates clockwise at 220 rpm, determine (c) the maximum velocity of the air around the rotor, and (d) the pressure coefficient at the location corresponding to the maximum velocity.arrow_forwardAir enters a 7-m-long section of a rectangular duct of cross section 15 cm X 20 cm at 50°C at an average velocity of 7 m/s. If the walls of the duct are maintained at 10°C, determine: (a) the outlet temperature of the air, (b) the rate of heat transfer from the air, and (c) the fan power needed to overcome the pressure losses in this section of the duct.arrow_forward
- A fan is used to transport CO2 gas (MW = 44 g/mol) gas at rest @ 700mmHg. At the discharge end, the pressure is 765mmHg, and the velocity is 100 m/s. Assuming the flue gas behaves ideally, and the process is isothermal, with the temperature maintained at 100C. Determine the theo. power required to move 45000 m /h of the flue gas.arrow_forwardApply the conservation of mass principle to various systems including steady- and unsteadyflow control volumes.arrow_forwardA 20 cm diameter pipe carries air at 24 m / s at a pressure of 148 kpa absolute pressure and 27 ° C. What is the mass flow rate of air? the 20 cm pipe is reduced to 10 cm and the temperature and pressure are 11 ° C and 130.5 kpa. Determine the velocity in the 10cm pipe and the volume flow in both pipesarrow_forward
- A liquid metal flows at a mass rate of 3 kg/s through a constant heat flux 5-cm-i.d tube in a nuclear reactor. The fluid at 473 K is to be heated with the tube wall 30 K above the fluid temperature. Determine the length of the tube required for a 1-K rise in bulk fluid temperature, using the following properties: p = 7.7 x 10^3 kg/m^3v = 8.0 x 10^-8 m^2/sCp = 130 J/(kg K)k = 12 W/mKPr = 0.011 Kaufman's correlation: Nu = 0,625.(Re.Pr)0,4arrow_forwardA wind tunnel is considered to be a steady-state operation, the system receives one hundred fifty pound- mass per minute of air at 285 psf, and 270 degrees Fahrenheit. The fluid is discharged from a point five meters above the datum/ reference point at 4,255 psf and 750 degrees Fahrenheit. Assuming that the velocity found at the inlet is 6,285 feet per minute and the Heat supplied is 580 BTU/min. During the process the density decreases by 15 percent and the internal energy is decreased by 1.05 horsepower. Determine the Work done in (a) Horsepower and BTU/s. (b) Considering the given on 3a, if the Work done is doubled, determine the Heat supplied during the process? (c) Considering the given on 3b, if Heat is doubled, what is the work done after 6 minutes?arrow_forwardA long 8-cm diameter vertical steam pipe whose external surface temperature is 90 degrees C passes through some open area that is not protected against the wind blows. Determine the rate of heat loss from the pipe per unit length when the air is at 1 atm, 7 degrees Celsius and the wind is blowing across the pipe at a velocity of 50 km/h. From Table A-1:Thermal conductivity, k = 0.0275 W/m degrees Celsius ,viscosity, v = 1.77 x 10^-5 m^2/sPrandtl no. Pr = 0.71arrow_forward
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