Water (5.2 L/min) is flowing in a tube "D= 3 cm, L=5 m" and is to be heated from 15°C to 59.9°C by applying a uniform heat flux on the outer surface of the tube by electric resistance heater. What is the power rating of the resistance heater (kW)? 0.8 If turbulent flow use Dituss-Boetler relation Nu=0.023 Re Pr 3. Properties : p =992.1 kg/m , C,- 4179 J/kg.°C k= 0.631 W/m°C, Pr= 4.32, v= 0.658E-6 %3D P m /s
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![Water (5.2 L/min) is flowing in a tube "D= 3 cm, L= 5 m" and is to be heated from 15°C
to 59.9°C by applying a uniform heat flux on the outer surface of the tube by electric
resistance heater. What is the power rating of the resistance heater (kW)?
0.8
II
If turbulent flow use Dituss-Boetler relation Nu= 0.023 Re
Pr.
3
Properties : p = 992.1 kg/m , C
4179 J/kg. °C, k=0.631 W/m°C, Pr= 4.32, v= 0.658E-6
m /s
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- Water flows through a tube of diameter 30 mm at an average velocity of 1.5 m/s. The properties of water are p = 1000 kg/m³, µ = 7.25 × 10-4 N s/m², k=0.625 W/m K, Pr=5.18. Using Nu=0.023 Re0.$Pr04, the convective heat transfer coefficient (in W/m? K) is .Water at an average temperature of 23 deg C flows through a 10-cm diameter pipe that is 2.5 m long. The pipe wall is heated by steam and is held at 100 deg C. The convective heat transfer coefficient is 2.25 x 10^4 W/m^2K. Find the heat flow in W.A constant heat flux of 40 W/cm² is applied from the outside to the three surfaces (top surface adiabatic) of a 6cmx6cm square pipe. Water enters the pipe at 25°C and its flow rate is 1 kg/s. If the length of the channel is 1.5 m, what will the outlet temperature of the water be? You can get the properties of water at 320K.
- An electric heater heats the inner tube walls of a concentric tube annulus at a rate of 2000 W/m. The inner and outer tube diameters are 25 and 50 mm respectively. Water enters the annular region at 25 ⁰C and leaves at 85 ⁰C. The flow rate of water is 0.04 kg/s and the outer tube wall is insulated. Assuming that fully developed conditions exist at the outlet, the inner tube surface temperature at the outlet will be ?A shell-and-tube heat exchanger is used to cool compressed liquid methanol from 176 °F to 104 °F. The methanol flows on the shell side of the exchanger. The coolant is water that rises in temperature from 50 °F to 86 °F and flows within the tubes at a rate of 68.9 kg s1. Finding the appropriate thermophysical data and applying the proper equations, you are required to do the following: (a) Calculate i) methanol mass flow rate in the exchanger, ii) methanol volumetric flowrate at the inlet of the exchanger. (b) i) For the counter-current flow of the fluids calculate the log temperature difference, ii) explain the purpose of calculating this difference, iii) explain, quantitatively, why is the counter-current flow in heat exchangers preferred to co-current flow. meanA gardener is thinking of installing piping system for watering the plants in his garden located near a water reservoir. The reservoir is located at an elevation of 150 m above from the surface, as shown in figure. The diameter of pipe (cast iron) is constant equal to 15 cm and total length of pipe is 180 m. It is desirable that the exit velocity of water to the garden should not exceed 5 m/sec and water is at atmospheric pressure and temperature is 20°C. The gardener is planning to open the valve for 3 hours daily. Calculate the followings: a) How much volume of liquid can be drawn from reservoir in a day? b) How much total irreversible head loss will be occurred in the system?
- Local Nusselt number for fully developed (hydrodynamically and thermally) turbulent flow in a smooth circular tube is defined by Nup-hD/kr, where h, D, and ke are the convective heat transfer coefficient, tube diameter, and fluid thermal conductivity, respectively. The friction factor for the smooth circular tube is given by the Blasius correlation, f-0.316Rep. The Reynolds number is defined by Ren-pviD/, where pr, vi, and ur are the fluid density, fluid velocity, and fluid viscosity, respectively. The Blasius correlation is applicable to Rep<2×10¹. Considering the analogy between velocity and thermal boundary layers and using the Blasius correlation, express the local Nusselt number using Reynolds and Prandtl numbers in the form of Nup-AxRepxPr. The Prandtl number is defined by Pr-wa, where and are the fluid kinematic viscosity and fluid thermal diffusivity, respectively. Note that the local Nusselt number formula should be applicable to Rep<2x10 and 0.6Heat transfer Air flows through a smooth thin-walled rectangular duct of height, a= 0.3 m and width, b=1 m. The air is heated by the duct walls at a uniform heat flux of 250 W/m2 . At some location inside the duct, the mean velocity and temperature of air was measured to be um = 0.05 m/s and Tm = 350 K, respectively. (a) What is the hydraulic diameter of the duct? (b) What is the Reynolds number for the flow in the duct? (c) Is the flow laminar or turbulent? (d) Assuming fully developed flow, what is the heat transfer coefficient (h) at this location?Water at 15°C (p = 999.1 kg/m3, cp = 4.18 kJ/kg.K and u = 1.138E-3 kg/m.s k = 0.631 W/m.°C) is flowing steadily in a 4.3-cm-diameter, 9.9- m-length horizontal pipe made of stainless steel at a rate of 1.9 kg/min, the outer surface is subjected, to a uniform heat flux of 6.2 kW/m". Assume fully developed flow. What is the pressure drop in the pipe "in Pascals"? Select one: А. 4.98 B. 5.62 С. 4.26 D. 3.53 O E. 6.26Local Nusselt number for fully developed (hydrodynamically and thermally) turbulent flow in a smooth circular tube is defined by Nup-hD/kr, where h, D, and kr are the convective heat transfer coefficient, tube diameter, and fluid thermal conductivity, respectively. The friction factor for the smooth circular tube is given by the Blasius correlation, f-0.316Red ¹/4. The Reynolds number is defined by Rep-prviD/μr, where pr, vr, and ur are the fluid density, fluid velocity, and fluid viscosity, respectively. The Blasius correlation is applicable to Rep<2×10¹. Considering the analogy between velocity and thermal boundary layers and using the Blasius correlation, express the local Nusselt number using Reynolds and Prandtl numbers in the form of NuD-A-ReDxPr. The Prandtl number is defined by Pr-war, where and ar are the fluid kinematic viscosity and fluid thermal diffusivity, respectively. Note that the local Nusselt number formula should be applicable to Rep<2×10 and 0.6Water is flowving in a tube “D = 3 cm, L=5 m" and is to be heated from 15°C to 47°C by applying a uniform heat flux on the outer surface of the tube by electric resistance heater. If the Power rating is 11kW and the convective heat transfer coefficient is 864 W/m².K, what is the surface temperature at the exit “°C"? 3 Properties : p = 992.1 kg/m , C = 4179 J/kg.°C, k= 0.631 W/m°C, Pr = 4.32, v = 0.658E-6 m /sWater flow in steel pipe at a temperature of 50o C as shown in the figure. The pipe is wrapped with thermal isolation. Air is flowing over the pipe at a temperature of -5o C and a speed of 3 m/sec. It is known that 1kWh costs 0.05$ Find the daily cost of the heat losses per meter without the pipe isolation? What is the daily cost saving when using the isolation?SEE MORE QUESTIONSRecommended textbooks for youElements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill EducationControl Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEYElements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. 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