2-157 A long electrical resistance wire of radius r.-0.25 cm has a thermal conductivity kwire-15 W/m-K. Heat is gene...
pts.) Consider a long resistance wire of radius ri-1.5 cm and thermal conductivity m'к in which heat is generated uniformly as a result of resistance heating at a e wire is embedded in a 1.0-cm-thick layer of ceramic whose thermal bTeam. W/m K. If the outer surface temperature of the ceramic layer is nstant rate. The nductivity is keramic-1.5 to be T,-45°C and the maximum temperature at the center is 375°C. Determine the ar generated per unit volume in (W/em)...
5. Problem 3.54 (Textbook) (20 points) KNOWN: Diameter of electrical wire. Thickness and thermal conductivity of rubberized sheath. Contact resistance between sheath and wire. Convection coefficient and ambient air temperature. Maximum allowable sheath temperature. FIND: Maximum allowable power dissipation per unit length of wire. Critical radius of insulation. SCHEMATIC: Air Wire Egen. D-2 mm Two Tini Tino To Ric = 3x10-4 m2-KW Insulation, t = 2 mm T= 20°C Ric Rcond conv k = 0.13 W/m-K Tmax = 50°C h...
A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform volumetric heat generation of 25,000 W/m3. The rod is encapsulated by a circular sleeve having 7 W/m K. The outer surface of the sleeve is exposed to cross flow of air at 25°C with a convection coefficient of 25 W/m2-K. Find the temperature at the interface between the rod and sleeve, and on the outer surface. an outer diameter of 410 mm and thermal...
A 2.2-mm-diameter and 10-m-long electric wire is tightly wrapped with a 1-mm-thick plastic cover whose thermal conductivity is k0.15 W/m-K. Electrical measurements indicate that a current of 13 A passes through the wire and there is a voltage drop of 8 V along the wire. If the insulated wire is exposed to a medium at T 30°C with a heat transfer coefficient of h 24 W/m2 K, determine the temperature at the interface of the wire and the plastic cover...
FIGURE P2-101 2-102 A long home r.= 0.6 cm and thermal cond used to boil water at atmosph electric current. Heat is gener result of resistance heating a generated is transferred to water at 10 an average heat transfer coe Assuming steady one-dir the differential equation and the boundary COI ong homogeneous resistance wire of radius rmal conductivity k = 15.2 W/m.K is being it atmospheric pressure by the passage of at is generated in the wire uniformly as a...
P2) (50 pts.) A sphere of radius , and thermal conductivity of k=0.1 W/ mK is generating heat at a constant rate in W/m] inside another sphere of radius ry. The radius of the internal sphere is a 10 cm and the radius of the outer sphere is 40 cm. The outer surface is exposed to ambient air at 27°C and a convection coethicient -30 W/m-K. The thermal conductivity of the external sphere is 6.0 W/m-K. If the temperature at...
The core is at 37C , skin-fat layer thermal conductivity k_s = 0.3 W/m-K, skin emissivity E_s = 0.95, skin-fat thickness l_s = 3 mm, and convection coefficient ℎ_air = 2 W/m2 -K. The jacket has thermal conductivity of k_j = 0.5 W/m-K, jacket emissivity E_j = 0.02, and jacket thickness l_j = 2 cm. a) Write two energy balances, one at the skin-jacket interface and another at the jacket-air interface. Can any of the terms in your energy balances...
2-97 A long homogeneous resistance wire of radius r = 5 mm is being used to heat the air in a room by the passage of electric current. Heat is generated in the wire uniformly at a rate of 5 X 10' W/m as a result of resistance heating. If the temperature of the outer surface of the wire remains at 180°C. determine the temperature at r = 3.5 mm after steady opera- tion conditions are reached. Take the thermal...
2.) A plane wall is made of brick with a thermal conductivity of 1.5 W/(m-K). The wall is 20 cm thick and has a surface area of 10 m2. One side of the wall is exposed to outside air blowing against the wall resulting in a heat transfer coefficient of 20 W/(m2-K). The other side is exposed to an air-conditioned room with a convective heat transfer coefficient of 5 W/(m2-K). a. What are the thermal resistances corresponding to conduction through...
A very long rod of 5-mm diameter and uniform thermal conductivity k = 25 W/m-K is subjected to a heat treatment process. The center, 30-mm-long portion of the rod within the induction heating coil experiences uniform volumetric heat generation of 7.5 x 106 W/m3. The unheated portions of the rod, which protrude from the heating coil on either side, experience convection with the ambient air at T∞ = 20 °C and h = 10 W/m2K. Assume that there is no convection...