Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 50 W/mk and a thickness L = 0.25 m, with no internal heat generation. Determine i) the heat flux and the unknown quantity for each case; and ii) sketch the temperature distribution, indicating the direction of the heat flux. T¡(°C) T2(°C) -20 dT/dx (K/m) 4(W/m²) Case 1 50 2 70 160 3 40 -80

Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 50 W/mk and a thickness L = 0.25 m, with no internal heat generation. Determine i) the heat flux and the unknown quantity for each case; and ii) sketch the temperature distribution, indicating the direction of the heat flux. T¡(°C) T2(°C) -20 dT/dx (K/m) 4(W/m²) Case 1 50 2 70 160 3 40 -80

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

Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 40 W/m-K and a thickness L = 0.4 m, with no internal heat generation. -T2 L Determine the heat flux, in kW/m2, and the unknown quantity for each case. Case T1(°C) T2(°C) dT/dx(K/m) 9% (kW/m²) 1 50 -20 i i -30 -10 i i 3 70 i 160 i 4 i 40 -80 i i 30 200 i LO
Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 40 W/m-K and a thickness L = 0.3 m, with no internal heat generation. -T2 L Determine the heat flux, in kW/m², and the unknown quantity for each case. Case T1(°C) T2(°C) dT/dx(K/m) q (kW/m?) 1 50 -20 i i 2 -30 -10 i i 3 70 i 160 i 4 i 40 -80 i 5 i 30 200 i
6. a. The heat flux applied to the walls of the biomass combustion furnace is 20 W/m2. The furnace walls have a thickness of 10 mm and a thermal conductivity of 12 W/m.K. If the wall surface temperature is measured to be 50oC on the left and 30oC on the right, prove that conduction heat transfer occurs at a steady state!b. Heating the iron cylinder on the bottom side is done by placing the iron on the hotplate. This iron has a length of 20 cm. The surface temperature of the hotplate is set at 300oC while the top side of the iron is in contact with the still outside air. To reach the desired hotplate temperature, it takes 5 minutes. Then it takes 15 minutes to measure the temperature of the upper side of the iron cylinder at 300oC. Show 3 proofs that heat transfer occurs transiently
Consider 1D heat conduction in a Cu rod with an average temperature of 25C. Does there exist a maximum (or upper-limit value) temperature gradient for heat conduction. If so, what is that value with justification on the derivation/scientific reasoning. The thermal conductivity is k=385 W/m*K. The diameter of the rod is left in terms of d.
EXAMPLE = wire Consider a long resistance wire of radius ₁ 0.2 cm and thermal conductivity k = 15 W/m . °C in which heat is generated uniformly as a result of resistance heating at a constant rate of g = 50 W/cm3. The wire is embedded in a 0.5-cm-thick layer of ceramic whose thermal conductivity is k = 1.2 W/m °C. If the outer surface temperature of the ceramic layer is measured to be Ts = 45°C, determine the temperatures at the center of the resistance wire and the interface of the wire and the ceramic layer under steady conditions. ceramic 17 Interface Mech. Eng. UOK Wire Ceramic layer T₁=45°C ۳۰/۱۰/۲۰۱۳
We have a wall (k = 10 W/mK) with a thickness of 0.4 m. At a certain instance of time temperature distribution is given by T(x) = 50 x²– 450 x + 350. a- Please calculate the rate of heat transfers entering and leaving the wall for a unit surface area and also find the change in the energy storage of the wall. b- If the environment temperature is 85 °C, what is the convection coefficient between the cold surface of the wall and environment.
A long rod with a thermal conductivity of 1 W/m K subject to the given boundary conditions. in the permanent regime temperature distribution with the energy balance method for ∆x=∆y= 0.2m find it. In addition, the unit of heat transfer between the rod and the fluid. Calculate for length.
The inner and outer surfaces of a 1-m by 1-m wall of thickness 100 mm and thermal conductivity 10 W/m. C are maintained at temperatures of 35 C and 15 C, respectively. Determine the heat rate by conduction. Select one: a. 2 kW b. 2 MW c. 20000 W
1- Microwave radiation is incident on one side of a planar wall with a heat conductivity coefficient k. (x=0) -D°b=(x)b leads to volumetric heating. While this surface is 9(W/m²) microwave radiation is fixed. kept at a constant temperature To, the other surface at x=L is very well insulated. Determine the temperature distribution T(x) in terms of x, L, k, qo and To.
A plane wall of an oven with an insulation coating is attached to an insulated wall. The thermal conductivity and thickness of the insulation coating are 0.1 W/(m K) and 1 mm, respectively. The material of the plane wall is stainless steel 304. The density, thermal conductivity, and specific heat capacity of the stainless steel 304 are 7900 kg/m³, 74.9 W/(mK), and 477 J/(kg-K), respectively. The wall thickness of the stainless steel 304 is 15 mm. The temperature of the plane wall with the insulated coating is initially maintained at 30 °C. Suddenly, hot gas with a temperature of 1000 °C enters the oven. The convection heat transfer coefficient at the insulation coating surface is 70 W/(m²-K). Insulation Coating Stainless Steel 304 Oven Gas Perfectly Insulated Wall 1 X L 3-1) What is the overall heat transfer coefficient per unit area from the gas to the surface of the stainless steel? The answer should be given in the unit of W/(m²-K). 3-2) What is the value of the Biot number? 3-3)…
a. The wall of a building has a surface area of 50 m2. The outside layer of the wall is 20 cm thick concrete with thermal conductivity kcon = .8 W/m-K. The inner layer is 10 cm thick balsa wood (kbalsa = .048 W/m-K) as an insulator. Outside temperatures of 47o C are expected, while an inside temperature of 21o C is maintained by the cooling system. Find the rate of heat transfer through the wall.
The temperature distribution in a wall (conductivity k=6-W/m2C, thickness L=10-cm) is given as T(x)=(-454 x2+53 x+ 17) (in °C) Assuming unit wall surface area, calculate the rate of heat loss from both sides of the wall in Watt.