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Consider the tube and inlet conditions of Problem 1.36. Heat transfer at a rate of
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Chapter 1 Solutions
Introduction to Heat Transfer
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- Pressurized water (pin = 10 bar, Tin =110◦C) enters the bottom of an L = 12m long vertical tube of diameter D = 110 mm at a mass flow rate of m =1.5kg/s . The tube is located inside a combustion chamber, resulting in heat transfer to the tube. Superheated steam exits the top of the tube at pout = 7 bar, Tout = 600◦C. Determine the change in the rate at which the following quantities enter and exit the tube: (a) the combined thermal and flow work, (b) the mechanical energy, and (c) the total energy of the water. Also, (d) determine the heat transfer rate, Q˙. Hint: Relevant properties may be obtained from a thermodynamics text.arrow_forwardThe figure below shows a mixing tank initially containing minitial = 2000 lb of liquid water. The tank is fitted with two inlet pipes, one delivering hot water at a mass flow rate of 0.8 lb/s and the other delivering cold water at a mass flow rate of 1.2 lb/s. Water exits through a single exit pipe at a mass flow rate of 2.5 lb/s. Hot water m₁ = 0.8 lb/s mfinal= i Determine the amount of water, in lb, in the tank after 0.5 hours. minitial lb 2 Cold water m₂ = 1.2 lb/s m3 = 2.5 lb/sarrow_forwardApply the first law of thermodynamics to flow system with two inlets and one outlet. Assume that heat is supplied to the system. Draw the neat sketch and lable inlet and outlet propertiesarrow_forward
- During the experiment at time 1:40 min, manometer reading is 5 bar and power consumption at ammeter is 3.3 A. Calculate the work done at that particular time and outlet temperature. Ambient condition: 1 bar and 20 °C Equation for the work done, i.e. output work: n n-1 RT. (S W12 = n- 1 n-1 P. T, = T, Given: Polytropic coefficient: n = 1.3 Ideal gas constant: R = 287 kg K %3D kg Density of air at 20°C: p = 1.2041 Volume flow rate: V = 115 L min Motor Voltage: 230 V at 50 Hz What is the inlet temperature in K and the inlet pressure in bar? What is the outlet temperature at time 1:40 min? At time 1:40 min, how much work is done by the piston? What is the input power at time 1.40 min?arrow_forwardThe figure below shows a mixing tank initially containing minitial = 1750 lb of liquid water. The tank is fitted with two inlet pipes, one delivering hot water at a mass flow rate of 0.8 Ib/s and the other delivering cold water at a mass flow rate of 1.2 Ib/s. Water exits through a single exit pipe at a mass flow rate of 2.5 lb/s. Hot Cold water water m = 0.8 lb/s m2 = 1.2 lb/s minitial 3 m3 = 2.5 lb/s Determine the amount of water, in Ib, in the tank after 0.5 hours. mfinal = i Ibarrow_forwardFor an inlet valve, the mass flow rate through the valve is 0.44 kg/s. The flow coefficient is 0.62 and the cylinder pressure is 105 kPa. Assume intake system pressure and temperature are 180 kPa and 527 K, the specific heat ratio is 1.3 and R =287 J / kg.K. The area of the valve is (SI unit): Select one: a. 2.30*10-3 O b. 3.45*10-2 O c. 1.43*10-3 O d. 1.75*10-3 O e. 0.85*10-2arrow_forward
- The figure below shows a mixing tank initially containing minitial = 1500 lb of liquid water. The tank is fitted with two inlet pipes, one delivering hot water at a mass flow rate of 0.8 Ib/s and the other delivering cold water at a mass flow rate of 1.2 lb/s. Water exits through a single exit pipe at a mass flow rate of 2.5 lb/s. Hot Cold water water in = 0.8 lb/s in, = 1.2 Ib/s mynitial in3 = 2.5 lb/s Determine the amount of water, in Ib, in the tank after 0.5 hours.arrow_forward3. In a refinery, certain oil with sp.gr 0.9 flows with a velocity of 2 m/s in a pipe of diameter 30cm. Along the flow, the pipe diameter gets reduced to 25 cm. Determine the velocity and mass flow rate of oil at this section. 4. A circular pipe of uniform diameter 500mm carries water under pressure 30 N/cm2 . The mean velocity of water at the inlet (at the datum) is 2.0 m/s. Find the total head or total energy per unit weight of the water at a cross-section, which is 5 m above the datum line. 5. A tapered pipe, through which water is flowing, is having diameter, 30cm and 20 cm at the cross-sections 1 and 2 respectively. The velocity of water at section 1 is given as 3.5m/s. Find the velocity head at section 1 and 2 and also rate of discharge. 6. Water is flowing through a pipe having diameter 300mm and 200 mm at the bottom and upper end respectively. The pressure at the lower(bigger) end is 25 N/cm2 and the pressure at the upper end is 10 N/cm2. Determine the difference in datum…arrow_forwardNitrogen gas flows through a compressor and a heat exchanger as shown in the figure below. All the provided properties at the inlets and outlets of both devices are shown. Nitrogen is modeled as an ideal gas. A separate cooling stream of Helium, also modeled as ideal gas, flows through the heat exchanger to lower the temperature of nitrogen. Assume that both devices are perfectly insulated and both gasses have constant specific heat values: Cpo of nitrogen = 1.042 kJ/kg. K) and Cpo of helium = 5.193 kJ/kg.K) A. Identify the systems, the process that each system goes through, and the assumptions you need to make for each process. B. Find the temperature of nitrogen at the exit of the compressor (T2) C. Determine the mass flow rate of the helium. 50 kW Compressor N₂ P₁ = 100 kPa T₁ = 280 K m₁ = 0.25 kg/s T₁ = 175°C +5 Helium 4+T4= 4+T4=25°C www www. T3 = 350 K Heat exchangerarrow_forward
- SOLVE THE PROBLEM AND SHOW THE DETAILED SOLUTION A steam condenser receives 10 kg per second of steam with an enthalpy of 2,570-kJ/kg. The steam condenses into liquid and leaves with an enthalpy of 160kJ/kg. Cooling water passes through the condenser with temperature increases from 13 to 24 Calculate the cooling water flow rate in kg/s.arrow_forwardpls show complete solutionarrow_forwardConsider the same problem in which an axial compressor with a mean diameter of 0.8 m is being designed to run at 3000 rpm. The whirl velocities at the inlet and outlet are 5m/s and 30 m/s, respectively. The air mass flow rate through the compressor is 2 kg/s at a temperature of 27 °C. Assume C, of air equal to 1000 J/kg-K and Cy = 718 J/kg-K. %3D The temperature change is equal to O 3.14 K 5.28 K 7.42 K OOKarrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
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