A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform...
A long cylindrical rod of diameter 100 mm with thermal conductivity of 0.5 W/mK experiences uniform volumetric heat generation of 5.0 x 10 W/m². The rod is encapsulated by a circular sleeve having an outer diameter of 400 mm and a thermal conductivity of 4 W/mK. The outer surface of the sleeve is exposed to cross flow of air at 27°C with a convection coefficient of 25 W/m2K (a) Find the temperature at the Interface between the rod and sleeve...
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...
Reviewer Score 3. A plane wall of thickness 0.12m and thermal conductivity 40W/m K having uniform volumetric energy generation of 0.4MW/m3 is insulated on one side, while the other side is exposed to a fluid at 52 C. The convection heat transfer coefficient between the wall and the fluid is 400W/m2-K. Determine the (20 scores) maximum temperature in the wall. 4. r,rod OA rotates with uniform o o. At the moment, AB- 6r Signatory Score leration of block B at...
A plane wall of thickness 2L= 30 mm and thermal conductivity k= 3 W/m·K experiences uniform volumetric heat generation at a rate q˙, while convection heat transfer occurs at both of its surfaces (x=-L, +L), each of which is exposed to a fluid of temperature ∞T∞= 20°C. Under steady-state conditions, the temperature distribution in the wall is of the form T(x)=a+bx+cx2 where a= 82.0°C, b= -210°C/m, c= -2 × 104°C/m2, and x is in meters. The origin of the x-coordinate...
A rod of diameter D = 25 mm and thermal conductivity of 60 W/m K protrudes from a furnace with a wall temperature of 200°C. The rod is welded to the furnace wall and is used as a hangar for instrumentation cables. To avoid damaging the cables, the surface temperature of last 100 mm of the rod must be kept below 100°C. The ambient air temperature is 25°C and the convection coefficient is 15 W/m2K. (a) Write the finite-difference equation for...
A brass rod (k = 133 W/m-K) with a diameter of 5 mm and a length of 100 mm is used to enhance heat transfer from a surface which is maintained at 200 C. The cylindrical surface of the rod is exposed to a convection environment with h = 30 W/m2-K and an ambient temperature of 20 C. a) Calculate the heat convected away from the rod. b) Calculate the temperature 50 mm from the wall. c) Plot the temperature...
A cylindrical fuel rod 50mm in diameter has a uniform internal heat generation of ??1̇ = 7*107 W/m3 . Under steady-state conditions, the temperature distribution is ??(??) = ?? + ????2, where T is in Celsius, ?? is in meters, ?? = 750°C, and ?? = -5.40*105 °C/m2 . The fuel rod properties are k=25 W/(m K), density= 1100 kg/m3 , and cp = 750 J/(kg K). (a) Determine the heat transferred (in Watts) at r=0 (centerline) and r=ro (outer...
Please help me with this problem 2. A composite cylinder is formed by a long cylindrical rod (A) and two concentric cylinders (tubes B and C). Tube B encloses trod A and its inner and outer radii are 20 mm and 40 mm, respectively. Tube C encloses tube B and its outer radius is 50 mm. A thin electrical heater is inserted between rod A and tube B. The rod (A) has a thermal conductivity of 2.5 w/m K, while...
2-157 A long electrical resistance wire of radius r.-0.25 cm has a thermal conductivity kwire-15 W/m-K. Heat is generated uniformly in the wire as a result of resistance heating at a constant rate of 0.5 W/cm3. The wire is covered with polyethylene insulation with a thickness of 0.25 cm and thermal conductivity of ks 0.4 W/m K. The outer surface of the insulation is subjected to free convection in air at 20°C and a convection heat transfer coefficient of 2...
Consider a rectangular bar of thermal conductivity k W/m-K and total length 2L, as shown in the figure, is connected to a hot surface that is at a temperature T1. The connection between the bar and the surface is imperfect and results in a thermal contact resistance of R’’ m2-K/W. The width of the rod into the depth of the paper is W meters and the thickness of the rod is t meters. The first section of the rod of...