80. A plate-type fuel element, having a thermal conductivity of 2 W/m-K, pro- duces heat. The heat source is uniformly distributed, having a source strength of 2.4E8 W/m³. One side of the fuel is insulated (due to symmetry), one side is maintained at 200 F, and remaining sides are exposed a convection boundary of 300 C and 34 kW/m²-K. Find the two-dimensional temperature distribution in the fuel at steady state condition. Questions and Problems 517 Insulated Boundary Insulated boundary cm т. - 20 с T,= 20 C r4" =1.0E8 W/m³- %3D т.- 200 с – 1500 W/m K -т,- 20 с 1 cm Tmm T - = 200 C Figure for Problem 79 Figure for Problem 80 T,- 300 C h- 34 kW/m².K T,- 300 C h = 34 kW/m².K

80. A plate-type fuel element, having a thermal conductivity of 2 W/m-K, pro- duces heat. The heat source is uniformly distributed, having a source strength of 2.4E8 W/m³. One side of the fuel is insulated (due to symmetry), one side is maintained at 200 F, and remaining sides are exposed a convection boundary of 300 C and 34 kW/m²-K. Find the two-dimensional temperature distribution in the fuel at steady state condition. Questions and Problems 517 Insulated Boundary Insulated boundary cm т. - 20 с T,= 20 C r4" =1.0E8 W/m³- %3D т.- 200 с – 1500 W/m K -т,- 20 с 1 cm Tmm T - = 200 C Figure for Problem 79 Figure for Problem 80 T,- 300 C h- 34 kW/m².K T,- 300 C h = 34 kW/m².K

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

3.4 Estimate the rate of heat loss due to radiation from a covered pot of water at 95 ° C. How does this compare with the 60 W that is lost due only to convection and conduction losses? What amount of energy input would be needed to maintain the water at its boiling point for 30 minutes? The polished stainless steel pot is cylindrical, 20 cm in diameter and 14 cm high, with a tight-fitting flat cover. The air temperature in the kitchen is about 25 ° C. State any assumptions you make in deriving your estimates
Consider the square channel shown in the sketch operating under steady state condition. The inner surface of the channel is at a uniform temperature of 600 K and the outer surface is at a uniform temperature of 300 K. From a symmetrical elemental of the channel, a two-dimensional grid has been constructed as in the right figure below. The points are spaced by equal distance. Tout = 300 K k = 1 W/m-K T = 600 K (a) The heat transfer from inside to outside is only by conduction across the channel wall. Beginning with properly defined control volumes, derive the finite difference equations for locations 123. You can also use (n, m) to represent row and column. For example, location Dis (3, 3), location is (3,1), and location 3 is (3,5). (hint: I have already put a control volume around this locations with dashed boarder.) (b) Please use excel to construct the tables of temperatures and finite difference. Solve for the temperatures of each locations. Print out the tables in the spread…
As shown in the sketh below, a steam pipe of 0.12-m inside diameter is insulated with a layer of calcium silicate. "2. Ta2} 1. Ta,1} Steam Insulation (a) If the insulation is 10 mm thick and its inner and outer surfaces are maintained at T, = 800 K and Ta = 490 K. respectively,. what is the rate of heat loss per unit length (q) of the pipe, in W/m? (b) Determine the rate of heat loss per unit length (d), in W/m, and outer surface temperature T,2, in K, for the steam pipe with the Inner surface temperature fixed at T = 800 K, inner radius = 0.06 m, and outer radius n = 0.18 m. The outer surface is exposed to an airflow (T 25°C) that maintains a convection coefficient of h = 25 W/m2-K and to large surroundings for which Tur = T, = 25°C. The surface emissivity of calcium silicate is approximately 0.8.
A composite wall consisting of five series layers of materials with different properties. Layer thickness, thermal conductivity of the layers and temperatures are shown on the figure. Based on Fourier's law for conduction, answer the following questions. 1. What are the main assumptions? 2. Drive an equation to calculate the heat transfer rate through the Composite wall? 3. Draw the thermal circuit through composite wall? 4. What are the value Ti? 5. What are the value Tj? 6. What are the value Tr? Givens: KA = 2 W/m. °C KB= 1 W/m.°C Kc = 5 W/m. °C Ko= 4 W/m. °C 100°C Ti 25°C Tj Tr A C +2cm + -6 cm 4cm cm
You are designing a new eco-friendly thermal coffee mug. It is shaped like a small globe to minimize surface area, which is only about 0.04m^2. You use two 0.003m layers of recyclable PETE which has a thermal conductivity, k, of 0.2W/mK around a 0.01m layer of dead air, with a thermal conductivity of 0.026W/mK. Since this is for hot coffee, use a temperature difference of 40K. Q = Ax (T2-T1) / (R1 + R2 + etc) R =x/k. What is the heat lose through the surface in watts?
PLEASE ANSWER WITH UNIT!!!!! A copper sphere having a diameter of 2 cm is initially at a uniform temperature of 312 F. It is then suddenly exposed to an air-forced- convection environment at 20 C of which the convective heat transfer coefficient is 200 W/m2K. Embedded in the sphere is a thermocouple to measure the temperature as a function of time. How long will it take for the thermocouple to indicate 30 C. What is the time constant for this system? (Density of copper is 8890 kg/m3) , (Specific heat for copper is 398 J/kg.K).
2. The slab shown is embedded in insulating materials on five sides, while the front face experiences convection off its face. Heat is generated inside the material by an exothermic reaction equal to 1.0 kW/m'. The thermal conductivity of the slab is 0.2 W/mk. a. Simplify the heat conduction equation and integrate the resulting ID steady form of to find the temperature distribution of the slab, T(x). b. Present the temperature of the front and back faces of the slab. n-20- 10 cm IT- 25°C) 100 cm 100 cm
A pipe carries hot molten lead from one part of a factory floor to another. The mass flow rate of lead is 0.05 kg/s. While trying to figure out the heat loss from the pipe, you found that over a 2-m length of he pipe the lead temperature drops from 580 C to 557.C. What is the rate at which thermal energy is being lost from the lead carrying pipe in this 2-m section? Use the property table to find out properties of lead as needed.
a. given convective heat transfer coefficient of inside air = 18.23 W/m2K, find the temperature of inside air at the end of composite wall b. neglect natural convection, find heat transfer rate due to thermal radiation c. using heat transfer rate due to thermal radiation, find the innermost wall and interface temperatures
A 50-mm thick plate of carbon steel (AISI 1010) is annealed with a reheat stage taking the steel from its initial uniform temperature of 200 C to a minimum final temperature of 550 C. HEating is effected in a gas-fired furnace where products of combustion at Tamb = 800 C maintain a convection coefficient of h = 100 W/m^2K on both sides of the plate. How long should the plate be left in the furnace? Substantiate with relevant analysis and calculations.