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Course: MAE Heat Trans, Spring 2010
School: Seoul National
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Seoul National - MAE - Heat Trans
PROBLEM 9.3KNOWN: Form of the Nusselt number correlation for natural convection and fluid properties. FIND: Expression for figure of merit FN and values for air, water and a dielectric liquid. PROPERTIES: Prescribed. Air: k = 0.026 W/mK, = 0.0035 K , = 1
Seoul National - MAE - Heat Trans
PROBLEM 9.6KNOWN: Large vertical plate with uniform surface temperature of 130C suspended in quiescent air at 25C and atmospheric pressure. FIND: (a) Boundary layer thickness at 0.25 m from lower edge, (b) Maximum velocity in boundary layer at this locat
Seoul National - MAE - Heat Trans
PROBLEM 9.7KNOWN: Thin, vertical plates of length 0.15m at 54C being cooled in a water bath at 20C. FIND: Minimum spacing between plates such that no interference will occur between free-convection boundary layers. SCHEMATIC:ASSUMPTIONS: (a) Water in ba
Seoul National - MAE - Heat Trans
PROBLEM 9.8KNOWN: Square aluminum plate at 15C suspended in quiescent air at 40C. FIND: Average heat transfer coefficient by two methods using results of boundary layer similarity and results from an empirical correlation. SCHEMATIC:ASSUMPTIONS: (1) Uni
Seoul National - MAE - Heat Trans
PROBLEM 9.9KNOWN: Dimensions of vertical rectangular fins. Temperature of fins and quiescent air. FIND: (a) Optimum fin spacing, (b) Rate of heat transfer from an array of fins at the optimal spacing. SCHEMATIC:ASSUMPTIONS: (1) Fins are isothermal, (2)
Seoul National - MAE - Heat Trans
PROBLEM 9.24KNOWN: Initial temperature and dimensions of an aluminum plate. Condition of the plate surroundings. Plate emissivity. FIND: (a) Initial cooling rate, (b) Validity of assuming negligible temperature gradients in the plate during the cooling p
Seoul National - MAE - Heat Trans
PROBLEM 9.40KNOWN: Horizontal, circular grill of 0.2m diameter with emissivity 0.9 is maintained at a uniform surface temperature of 130C when ambient air and surroundings are at 24C. FIND: Electrical power required to maintain grill at prescribed surfac
Seoul National - MAE - Heat Trans
PROBLEM 9.61KNOWN: Dissipation rate of an electrical cable suspended in air. FIND: Surface temperature of the cable, Ts. SCHEMATIC:ASSUMPTIONS: (1) Quiescent air, (2) Cable in horizontal position, (3) Negligible radiation exchange.PROPERTIES: Table A-4
Seoul National - MAE - Heat Trans
PROBLEM 9.91 KNOWN: Absorber plate and cover plate temperatures and geometry for a flat plate solar collector. FIND: Heat flux due to free convection. SCHEMATIC:ASSUMPTIONS: (1) Aspect ratio, H/L, is greater than 12. PROPERTIES: Table A-4, Air (325K, 1 a
Seoul National - MAE - Heat Trans
PROBLEM 9.106 KNOWN: Dimensions of enclosure, surface temperatures, and properties of aqueous humor. FIND: The ratio of the effective to the bulk thermal conductivity of the aqueous humor. SCHEMATIC:g ri Iris-lens Ti = 37C ri = 7 mm Aqueous humor = 990 k
Seoul National - MAE - Heat Trans
PROBLEM 9.91 KNOWN: Absorber plate and cover plate temperatures and geometry for a flat plate solar collector. FIND: Heat flux due to free convection. SCHEMATIC:ASSUMPTIONS: (1) Aspect ratio, H/L, is greater than 12. PROPERTIES: Table A-4, Air (325K, 1 a
Seoul National - MAE - Heat Trans
PROBLEM 9.106 KNOWN: Dimensions of enclosure, surface temperatures, and properties of aqueous humor. FIND: The ratio of the effective to the bulk thermal conductivity of the aqueous humor. SCHEMATIC:g ri Iris-lens Ti = 37C ri = 7 mm Aqueous humor = 990 k
Seoul National - MAE - Heat Trans
PROBLEM 5.10 KNOWN: Diameter and radial temperature of AISI 1010 carbon steel shaft. Convection coefficient and temperature of furnace gases. FIND: Time required for shaft centerline to reach a prescribed temperature. SCHEMATIC:ASSUMPTIONS: (1) One-dimen
Seoul National - MAE - Heat Trans
PROBLEM 6.5 KNOWN: Variation of local convection coefficient with x for free convection from a vertical heated plate. FIND: Ratio of average to local convection coefficient. SCHEMATIC:ANALYSIS: The average coefficient from 0 to x is1x Cx h x dx = x -1/4
Seoul National - MAE - Heat Trans
PROBLEM 2.52KNOWN: Temperature as a function of position and time in a plane wall suddenly subjected to a change in surface temperature, while the other surface is insulated. FIND: (a) Validate the temperature distribution, (b) Heat fluxes at x = 0 and x
Seoul National - MAE - Heat Trans
PROBLEM 2.53KNOWN: Thin electrical heater dissipating 4000 W/m sandwiched between two 25-mm thick plates whose surfaces experience convection. FIND: (a) On T-x coordinates, sketch the steady-state temperature distribution for -L +L; calculate values for
Seoul National - MAE - Heat Trans
PROBLEM 2.54KNOWN: Radius and length of coiled wire in hair dryer. Electric power dissipation in the wire, and temperature and convection coefficient associated with air flow over the wire. FIND: (a) Form of heat equation and conditions governing transie
Seoul National - MAE - Heat Trans
PROBLEM 3.1 KNOWN: One-dimensional, plane wall separating hot and cold fluids at T,1 and T ,2 , respectively. FIND: Temperature distribution, T(x), and heat flux, q , in terms of T ,1 , T ,2 , h1 , h 2 , k x and L. SCHEMATIC:ASSUMPTIONS: (1) One-dimensio
Seoul National - MAE - Heat Trans
PROBLEM 3.5KNOWN: Thicknesses and thermal conductivities of refrigerator wall materials. Inner and outer air temperatures and convection coefficients. FIND: Heat gain per surface area. SCHEMATIC:ASSUMPTIONS: (1) One-dimensional heat transfer, (2) Steady
Seoul National - MAE - Heat Trans
PROBLEM 3.6KNOWN: Design and operating conditions of a heat flux gage. FIND: (a) Convection coefficient for water flow (Ts = 27C) and error associated with neglecting conduction in the insulation, (b) Convection coefficient for air flow (Ts = 125C) and e
Seoul National - MAE - Heat Trans
PROBLEM 3.10KNOWN: Construction and dimensions of a device to measure the temperature dependence of a liquids thermal conductivity. FIND: (a) Overall height of the apparatus using bakelite, (b) Overall height of the apparatus using aerogel, (c) Required
Seoul National - MAE - Heat Trans
Seoul National - MAE - Heat Trans
Seoul National - MAE - Heat Trans