Convection. A thin 100 cm long and 10 cm wide horizontal plate is placed in a large tank full of water at 60°C. At what uniform temperature, in °C, should be maintained in the plate if the rate of heat supplied to the plate is 2 kW as heat is dissipated from either side? The convection heat transfer coefficient at the lower side is h, = 384.5 W/m²K and h,= 3215.5 W/m²K at the upper side. %3D
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- Q2/ A 4-m-internal-diameter spherical tank made of 1.75-cm-thick stainless steel (k 15 W/m °C) is used to store iced water at 0°C. The tank is located in a room whose temperature is 35°C. The walls of the room are also at 35°C. The outer surface of the tank is black, and heat transfer between the outer surface of the tank and the surroundings is by natural convection and radiation. The convection heat transfer coefficients at the inner and the outer surfaces of the tank are 80 W/m2 °C and 10 W/m2· °C, respectively. Determine (a) the rate of heat transfer to the iced water in the tank and (b) the amount of ice at 0°C that melts during a l-h period. The heat of fusion of water at atmospheric pressure is hif 334 kJ/kg.Air at 20°C with a convection heat transfer coefficient of 25 W/m2-K blows over a horizontal steel hot plate (k = 43 W/m-K). The surface area of the plate is 0.38 m2 with a thickness of 2 cm. The plate surface is maintained at a constant temperature of Ts = 250°C and the plate loses 300 W from its surface by radiation. Calculate the inside plate temperature (Ti). FIGURE P1-96 Air, 20°C T, = 250°C Steel Plate T; = ?3-19 Consider a 1.2-m-high and 2-m-wide double-pane win- dow consisting of two 3-mm-thick layers of glass (k = 0.78 W/m . °C) separated by a 12-mm-wide stagnant air space (k = 0.026 W/m. °C). Determine the steady rate of heat transfer through this double-pane window and the temperature of its inner surface for a day during which the room is maintained at 24°C while the temperature of the outdoors is -5°C. Take the convection heat transfer coefficients on the inner and outer Glass 3 12 3 mm Frame FIGURE P3-19 = surfaces of the window to be h₁ = 10 W/m² °C and h₂ 25 W/m². °C, and disregard any heat transfer by radiation.
- Consider a person standing in a roomn at 20°C with an exposed surface area of 1.5 m2. The deep body temperature of the human body is 37°C, and the thermal conductivity of the human tissue near the skin is about 0.3 W/m-°C. The body is losing heat at a rate of 150 W by natural convection and radiation to the surroundings. Taking the body temperature 0.5 cm beneath the skin to be 37°C, determine the skin temperature of the person. °CGround turkey was made into me at balls and refrigerated at 2 ° C before being deep fried. The diameter of each meat ball is 9cm. To make sure that the meat balls are safe to be consumed, they must be cooked over 70 ° C. Assume that the cooking oil is at a constant temperature of 180 ° C and has a heat transfer coefficient of 50 W/(m 2 ∙ K). The conductivity and specific heat of the ground turkey are approximated at 2 W/( m∙K ) and 4 kJ/( kg ∙ K) respectively. The density of the ground turkey is 500kg/ m 3 . a) During the deep- frying process, do you anticipate that each meat ball has a uniform temperature distribution throughout its volume? Please show calculation to support your answer (5 pts) . b) Please calculate the minimum time required for cooking (1 5 p ts). c) When served, what are the surface and center temperatures of each meat ball ( 15 pts).A 5-cm-external-diameter, 10-m-long hot-water pipe at 80 deg C is losing heat to the surrounding air at 5 deg C by natural convection with a heat transfer coefficient of 25 W/m^2.K. Determine the rate of heat loss from the pipe by natural convection (6m)
- Consider hotdog being cooked in boiling water in a pan. Would the heat transfer be modeled as one-dimensional or two-dimensional? Would the heat transfer be steady or transient? Explain.A glass window in a storefront has an are of 12m2 and a thickness of 1 cm. The thermal conductivity of the glass is 0.8 W/m-oC. On the cold day, outside surface temperature of the glass is -1oC and the inside surface temperature is 3 oC. Determine the temperature at a plane midway between the inside and outside glass surfaces.Q2/ A 3-m internal diameter spherical tank made of 2-cm-thick stataless steel (k= 15 W/m 0°C. The tank is located in a room whose %3D C) is used to store iced water at Te temperature is T-22°C. The walls of the room are also at 22°C. The outer surface of the tank is black and heat transfer between the outer surface of the tank and the surroundings is by natural convection and radiation. The convection heat transfer coefficients at the inner and the outer surfaces of the tank are h-80 W/m2 C and h 10 W/m2 C, respectively. Determine (a) the rate of heat transfer to the iced water in the tank and (b) the amount of ice at 0°C that melts during a 24-h period.
- Consider a furnace (as a plane wall) which has a thickness of 15 cm and a surface area of 1 m?. The inside surface of the furnace wall (the hot left side of the wall) is at temperature T1. The furnace wall is made of brick with thermal conductivity of 1.198 W/m.K. The outside surface of the furnace wall (the right side of the wall) has a surface emissivity of 0.8 and is maintained at T2=101 °C and subject to air at 25 °C with convection heat transfer coefficient of 20 W/m?.K. The surroundings temperature at the outside of the furnace wall is at 25 °C. Required: Draw a clear and consistent schematic of the problem and label the operating conditions on the schematic. Perform systematic analysis, state your assumptions and justify the equation used and determine the following (circle your final answers): (i) The rate of heat transfer by convection (in W); (ii) The rate of heat radiation (in W); (iii) The surface temperature of the furnace wall T1 (in °C); (iv) The rate of conduction heat…One person can serve a quick drink of 5 cm diameter and 12 cm high cans for their guests.put it in the deep freezer at –20 °C in order to cool it. 25 °C initiallyThe heat transfer coefficient on the box surface at a uniform temperature is 15 W/m².°C. Physical beverage canproperties of ρ=840 kg/m3, taking cp=3.81 kJ/kg.°C, k=0.75 W/m.°C and α=1.3x10⁻⁷ m²/s as the centerthe time required for the temperature to reach 5 °C and the maximum amount of heat transferred.calculate.A 6 cm diameter cylinder is initially at a temperature of 10 °C. Later, this cylinder was thrown into water at 80°C. Calculate how long it will take for the center temperature of the cylinder to reach 50 °C by taking the convection heat transfer coefficient as 80W / /m?K. Thermal properties of the cylinder material k=0,587 W/m°C wwww a = 0,13 x10 * m /s attachments Heisler diagrams for cylinder 1.0 F100 50 30 12 0.7 0.5 0.4 0.3 0.2 2.5 3.0 0.1 3 02 B hr 0.07 0.05 0.04 0.03 0,02 0.007 0.005 0.004 0.00 0.002 0.001 ! 2 3 468 101214 16 18 20 22 24 26 28 30 40 50 60 70 B0 90100 115 130 150200 300 kenle)= Fo 1.0 0.2 0.9 0.8 0.4 0.7 0.6 0.6 0.5 0.4 0.3 0.8 0.2 0.9 0.1 1.0 8.01 0.02 0.05 0.1 O.2 0.5 1.0 2 3 5 10 20 CA/hr)- Bi 50 100 T-T