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- Determine the rate of heat transfer per meter length to a light oil flowing through a 2.5-cm-ID, 60-cm-long copper tube at a velocity of 0.03 m/s. The oil enters the tube at 16C, and the tube is heated by steam condensing on its outer surface at atmospheric pressure with a heat transfer coefficient of 11.3 kW/m K. The properties of the oil at various temperatures are listed in the following table: Temperature, T(C) 15 30 40 65 100 (kg/m3) 912 912 896 880 864 c(kJ/kgK) 1.80 1.84 1.925 2.0 2.135 k(W/mK) 0.133 0.133 0.131 0.129 0.128 (kg/ms) 0.089 0.0414 0.023 0.00786 0.0033 Pr 1204 573 338 122 551.67 In beauty salons and in homes, a ubiquitous device is the hairdryer. The front end of a typical hairdryer is idealized as a thin-walled cylindrical duct with a 6-cm diameter with a fan at the inlet that blows air over an electric heating coil as schematically shown in the figure. The design of this appliance requires two power settings, with which the air blown over the electric heating coil is heated from the ambient temperature of to an outlet temperature of and with exit air velocities of 1.0 m/s and 1.5 m/s. Estimate the electric power required for the heating coil to meet these conditions, assuming that heat loss from the outside of the dryer duct is neglected.Superheated steam at 350 °C flows through a pipe whose thermal conductivity is kp = 16 W/m.K. The inner diameter and thickness of the pipe are 26 cm and 1 cm, respectively. The surrounding temperature is 28 °C. The convective heat transfer coefficient at the steam side and the outside of the pipe is 90 W/m?.K and 15 W/m?.K, respectively. Derive an expression for the temperature profile across the %3D pipe thickness as a function of the radial position r. T = 28 °C, h, = 15 W/m?.K Ts = 350 °C h; = 90 W/m?.K ri %3D r2 Cross-sectional view of the pipe
- How much heat is conducted through a sheet of plate glass, k=0.0024 cal/cm2-sec-°C/cm, which is 2.0 meters by 3.0 meters and 5 mm thick, when the temperatures of the surfaces are 20 and -10°C? COMPLETE FBD SOLUTION AND REQUIREMENTS PS. THIS IS A HEAT TRANSFER PROBLEMOuter surface of a tube-steel oven is at 110 oC. What would be the heat transfer rate tothe surrounding air at 25 oC. if the natural convective heat transfer coefficient ish = C (Ts – Ta)1/4where; C= 4.5 W/(m2.K5/4), Ta and Ts are air temperature and surface temperature,respectively. Surface area of the wall is 125 m2.(heat transfer by radiation can be neglected)a) A turbine blade 6 cm long and having a cross sectional area 4.65 cm and perimeter 12 cm is made of stainless steel (k=23.3 Wim K). The temperature at the root is 500 C. The blade is exposed to a hot gas at 870 °C. The heat transfer coefficient between the blade surface and gas is 442 W/im K. Determine the temperature distribution and rate of beat flow at the root of the blade, Assume the tip of the blade to be insulated. b) The hot combustion gases of a fumace are separated from the ambient air and its surounding, which are at 20°C, by a brick wall 0.5 m thick. The brick has a themal conductivity of 5 W/mk and a surface emissivity of 0.6. Under steady-state conditions an Page no.1 of 1 outer surface temperature of 120°C is measured Free convection heat transter to the air adjoining the surface is characterized by a convection coefficient of 15 Wim K What is the brick inner surface temperature
- Q2/ An aluminum sphere weighting 7kg and initially at a temperature of 533K is suddenly immersed in a fluid at 283K. if heat transfer coefficient between the sphere and fluid is 50W/m?.°C. Take density=2707kg/m3, specific heat=0.9KJ/kg.°C and thermal conductivity= 204W/m °C. إجابت * Determine the Bi number 0.00696 0.000696 0.0052 0.00052 0 أخری *.Determine the time required to cool sphere to 263K 26.28min 262.8min 52.56 min 525.6 min O أخریHot water (specific heat of 4.18 Kj/kgK) at 66C is flowing through a metal pipe (6 m long, 2 cm ID, 2.75 OD, thermal conductivity of 4.7 W/mK). The pipe is directly under an HVAC vent, and air at 21C is being blown over the pipe. This results in a conductive heat transfer coefficient of 129 W/m²K. If the convective heat transfer coefficient between the water and the pipe is 350 W/m²K, what is the overall heat transfer coefficient? What is the rate of heat 5. transfer from the water to the air?B- A Blood warming device contains a 20 mm diameter copper pipe is used to carry warm water, the external surface of the pipe is subjected to convective heated transfer coefficient of h 6 W/m² K, find the heat loss by convection per meter length of the pipe when the external °C and surface temperature is 40 the surrounding are at 20 °C.?
- (B) A cylinder made of aluminum has a mass of 7 Kg and initially at a temperature of 250 C is suddenly placed in a controlled environment in which the temperature is maintained at 15 'C. The convection heat transfer coefficient is 90 W/(m2. C ). Calculate the time required to cool the cylinder to 100 °C. Use the lumped capacity method. Take p=2707 kg/m³, C=896 J/kg°C, L=15cm.4.) A 15-cm-diameter steam line carries saturated steam at 6 MPa and is located in a tunnel with stagnant air with a temperature of 50oC. The outside unit convective coefficient is 8.5 W/m2-K. The steam line is covered with 3 cm of 85% magnesia insulation. It is decided to reduce the heat loss by one-half. How much 85% magnesia insulation is required? Neglect thermal resistance of pipe and inside surface.Q3/ A stainless steel alloy has cylindrical shape (k = 25 W/m.°C), diameter is 10 cm and 25 cm long, taken to furnace. The initial temperature is 90 °C, the furnace temperature is 1260 °C and the heat transfer coefficient is h = 100 W/m2.'C. Determine the time required for a stainless steel alloy to reach 830 °C. Take thermal diffusivity (k/pc= 0.45 × 10-5 m²/s).