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Chapter 8 Solutions
Fundamentals of Heat and Mass Transfer
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- In a thermal power plant, a vertical copper pipe of "D" diameter, "H" height and thickness 1 cm enters into the boiler that has the thermal conductivity as 0.35 W/mK. The boiler is maintained at 102C and temperature of the water that flows inside the pipe is at 25C. If the energy transfer (Q) is 119031 kJ in 7 hours. Determine the Heat transfer rate, Surface area of the pipe and Diameter & Height of the pipe, if H = 27 D.arrow_forwardIn a thermal power plant, a horizontal copper pipe of "D" diameter, "L" length and thickness 1.9 cm enters into the boiler that has the thermal conductivity as 0.37 W/mK. The boiler is maintained at 102 °C and temperature of the water that flows inside the pipe is at 34°C. If the energy transfer (Q) is 100735 kJ in 7 hours. Determine the Heat transfer rate, Surface area of the pipe and Diameter & Length of the pipe, if D = 0.015 L. Surface Area of the Pipe (m2) Pipe Length (in m) Pipe Diameter (in mm)arrow_forwardQ1/Consider a compressed air pipe of length L= 4.5 m, inner diameter 7.4 cm, outer diameter 8 cm, and thermal conductivity k =14 W/m °C equipped with a 300-W strip heater. Air is flowing through the pipe at an average temperature of (- 8°C), and the average convection heat transfer coefficient on the inner surface is h= 30 W/m - °C. Assuming 10 percent of the heat generated in the strip heater is lost through the insulation, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the pipe, (b) obtain a relation for the variation of temperature in the pipe material by solving the differential equation, and (c) evaluate the outer surface temperature of the pipe.arrow_forward
- In a thermal power plant, a horizontal copper pipe of "D" diameter, "L" length and thickness 1.9 cm enters into the boiler that has the thermal conductivity as 0.37 W/mK. The boiler is maintained at 102 °C and temperature of the water that flows inside the pipe is at 34°C. If the energy transfer (Q) is 100735 kJ in 7 hours. Determine the Heat transfer rate, Surface area of the pipe and Diameter & Length of the pipe, if D = 0.015 L .arrow_forwardsteam exits the turbine of a steam power plant at 105 F and is to be condensed in a large condenser by cooling water flowing through copper pipes (k = 223 Btu/h-ft-F) of inner diameter 0.5 in. and outer diameter 0.7 in. at an average temperature of 70 F. The heat transfer of vaporization of water at 100F is 1037 Btu/lbm. The heat transfer coefficient are 1500 Btu/h-ft-F on the steam side and 35 Btu/h-ft-F on the water side. Determine the length of the tube required to condense steam at arate of 130 lbm/h.arrow_forwardsaturated steam at 110°C flows inside a steel pipe ( thermal conductivity 50W/mK) having an internal diameter of 10cm and external diameter of 12 cm . The surface heat transfer coefficient on steam side is 12 kW/m^2K and that onthe outside surface of pipe is 18W/m^2K . Determine the heat loss from the pipe if it is located in a space at 25 °C.arrow_forward
- A cast iron pipe is used to transfer steam with an inlet temperature of 450 C. Inner radius of the pipe is 10 cm. The thickness of the pipe (k=18 W(mk)) is 0.8 cm and there is an insulation (k=0.15 W/mK) over the pipe with a thickness of 7 cm. Environmental temperature is -10 C. Determine the steady heat loss from the pipe if the steam convection coefficient is 90 W/(m^2K) and environment convection coefficient is 18 WI(m^2K)? Is insulation thickness enough? steam steamarrow_forwardSteam exiting the turbine of a steam power plant at 40°C is to be condensed in a large condenser by cooling water flowing through copper pipes (k = 386 W/m•°C) of inner diam- eter 1 cm and outer diameter 1.5 cm at an average temperature of 20°C. The heat of vaporization of water at 40°C _is 2407 kJ/kg. The heat transfer coefficients are 13,000 W/m2.°C on the steam side and 200 W/m2.°C on the water side. Determine the length of the tube required to condense steam at a rate of 115 kg/h. Answer: 622 m Steam, 40°C 115 kg/h Cooling water Liquid waterarrow_forwardA cylindrical reactor made of copper with a radius of a= r=5mm has a heat conduction coefficient of k=386 W/moC, and there is heat generation at e ̇= (q ) ̇= 4x10^8 W/m3 inside this reactor. The cylindrical reactor convection heat transfer coefficient is h=2000 W/m0C and 〖T_(ambient= ) T〗_∞= 30 oC by convection, it cools down from the reactor surface to the center. According to the given boundary conditions a)Find the reactor surface temperature and the temperature T(a) at r=a. (VARIABLES: r=1-10mm, T_∞= 0-100oC) b) q(a) =((q ) ̇ * a )/ 2 = (e ̇ * a )/ 2 then find the heat flux amount in kW/m2arrow_forward
- Steam in a heating system flows through tubes whose outer diameter is 5 cm and whose walls are maintained at a temperature of 198.06°C. Circular copper alloy fins (k =285 W/m · °C) of outer diameter 6 cm and constant thickness 1 mm are attached to the tube. The space between the fins is 3 mm, and thus there are 250 fins per meter length of the tube. Heat is transferred to the surrounding water at T= 43.06°C, with a heat transfer coefficient of 5300 W/m2 · °C. Determine the increase in heat transfer from the tube per meter of its length as a result of adding fins and fin effectivenessarrow_forwardCopper pipe (k = 400 W/m.K) has an inner diameter of 25 cm and an outer diameter of 27 cm. Saturated steam flows through it at 110 °C. The piping is located in a space at 30 °C and the external convection heat transfer coefficient is estimated at 15 W/m2.K, while the internal convection heat transfer coefficient is 2500 W/m2.K. In order to reduce heat losses, it was decided to install thermal insulation. The available insulation has a thickness of 4.9 cm and a conductivity k = 0.027 W/m.K. Calculate the percentage increase in the "total" thermal resistance resulting from installing the insulation (between the uninsulated and the insulated case).arrow_forwardCopper pipe (k = 400 W/m.K) has an inner diameter of 25 cm and an outer diameter of 27 cm. Saturated steam flows through it at 110 °C. The piping is located in a space at 30 °C and the external convection heat transfer coefficient is estimated at 15 W/m2.K, while the internal convection heat transfer coefficient is 2500 W/m2.K. In order to reduce heat losses, it was decided to install thermal insulation. The available insulation has a thickness of 4.9 cm and a conductivity k = 0.027 W/m.K. Calculate the percentage increase in the "total" thermal resistance resulting from installing the insulation (between the uninsulated and the insulated case). Uma tubulação de cobre (k = 400 W/m.K) tem um diâmetro interno de 25 cm e um diâmetro externo de 27 cm. Vapor saturado flui através dela a 110 °C. A tubulação está localizada em um espaço a 30 °C e o coeficiente de transferência de calor por convecção externo é estimado em 15 W/m2.K, enquanto o coeficiente de transferência de calor por…arrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
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