The wall of a furnace comprises three layers as shown in the figuie. The first layer istery (whose maximum allowable temperature is 1400°C) while the second laver isTracto:y Chose maximum allowable temperature is 1093°C). The third layer is a plate of 6 35od thermal contact.Steet plareTo6.35x345A1370 CConcerntiationveluciy37.8 Cmass SiynesFigure. Layers in a composite furnace wall.e temperature To on the inside of the refractory is 1370°C, while the temperature T; on theside of the steel plate is 37.8° The heat loss through the furnace HnIlisexpectet tobe 14440&7%6.4.3UYTQKtabcaps lockVCshift 115800 W/m. Using the method of thermat resistance or otherwise, determine the thickness ofrefractory and insulation that results in the minimum total thickness of the walł.Expトshown on tiGiven thermal conductivities of refractory and insulation in W/(m K):Layer2 st 378k at 37.8°C k at 1093°CRefractory3.126.233.12Insulation1.563.12ニ(i)What is the maximum attainable temperature of the refractory?What is the maximum attainable temperature of the insulator?3.12(ii)1.56(ii)Considering the insulation being used, what is the temperature T2(iv)Calculate the temperature T2?+3.1204.120Acet.(v)What is temperature To?(vi)+61determune the value of k at temperature To.refractoryinsulator

Answered: Image /qna-images/answer/e00c5ec3-a8dc-4ce7-99ec-6ea4497f66f8.jpg

Retractory brick Insulating brick The vall ofa furnace comprises three layers as shown in the figure. The first layer is (yhose maximum allowable temperature is 1400°C) while the second layer is Tracto:y hose maximum allowable temperature is 1093°C). The third layer is a plate of 6.35 hickness of steel [thermal conductivity =45 W/(m K)]. Assume the lavers to be in ve od thermal contact. 6.35x3 Steet plare TA 45A こ. 1370 C 37.8 C concerntiation velbciy mass Siynes Figure. Layers in a composite furnace wall. e temperature To on the inside of the refractory is 1370°C, while the temperature T; on the side of the steel plate is 37.8°C The heat loss through the furnaceHnIlisexpectet to be Peu/cse/427 12

Retractory brick Insulating brick The vall ofa furnace comprises three layers as shown in the figure. The first layer is (yhose maximum allowable temperature is 1400°C) while the second layer is Tracto:y hose maximum allowable temperature is 1093°C). The third layer is a plate of 6.35 hickness of steel [thermal conductivity =45 W/(m K)]. Assume the lavers to be in ve od thermal contact. 6.35x3 Steet plare TA 45A こ. 1370 C 37.8 C concerntiation velbciy mass Siynes Figure. Layers in a composite furnace wall. e temperature To on the inside of the refractory is 1370°C, while the temperature T; on the side of the steel plate is 37.8°C The heat loss through the furnaceHnIlisexpectet to be Peu/cse/427 12

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

Related questions

Q: Q3. What is the analogical reason between heat transfer by conduction and flow of electricity…

Q: A brick wall 3 m high, 7.5 m wide, and 160 mm thick has a thermal conductivity of 0.7 W/(m-°C). The…

Q: Q2: A circular tube transmits hot oil at 250-C inside a 10-cm-inside-diameter tube such that hi 2000…

Q: find only the following What is the total heat transfer to/from the building?

A: Given: Area of the roof→Ar=8×12=96 m2 Area of east wall and west wall→Ae=Aw=4×8=32 m2 Area of the…

Q: .. How long it will take to reach 100 °C.

A: 18.67 seconds

Q: Consider a multi-layered walls of a storage building (no windows) that is made of three layers as…

Q: b) A steel pipe with heat transfer coefficient of 42 W/mK contains flowing water. The outer diameter…

A: A steel pipeheat transfer coefficient K = 42 W/mK Outer diameter of the pipe Do = 90 mmFor r1Di =…

Q: Crude oil is transported from a storage to a refinery through a 10" schedule 40 pipeline which is…

A: To Find : The amount of heat lost from pipeline.Given : The temperature of crude oil is The…

Q: 1. COMBINED CONDUCTION CONVECTION ON CYLINDRICAL WALL A hot-water pipe (k = 60 W/m K) in a house,…

Q: A-For a general office room, the exposed wall (with a window, outside winter type) construction is…

Q: want to know how much heat the tube lost due to the material it is made of aluminum or steel. Even…

Q: A wood wall 2.5 m ( 8 ft) x 7 m ( 23 ft) x 2.5 cm ( 1 in) thick has thermal conductivity k=0.1 W/Km.…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Pls handwrite

Q: A plane wall is insulated on its left side (x = 0). The wall generates energy uniformly at a rate of…

Q: A large 100-mm thick steel plate is initially at uniform temperature T = 180°C at time t = 0. Both…

Q: HEAT TRANSFER CASE: I want to know what temperature in (°F) the cylinder will have inside. It's a…

A: Given that, Inner radius, ri=0.55 in,Outer radius, ro=0.7 in,Length, L=5.7 in,Thermal conductivity,…

Q: P3. After a particularly cold night, Alice leaves a tub of water outside. You may consider the…

A: Given: Ground temperature Tc=-10°CAir temperature (Th)=10°CInitial thickness of water (h0)=10cm or…

Q: A steel pipe with 5-cm OD is covered with a 6.4-mm asbestos insulation [k =0.096 Btu/h ft. °F]…

Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

The wall of a furnace comprises three layers as shown in the figuie. The first layer is
tery (whose maximum allowable temperature is 1400°C) while the second laver is
Tracto:y Chose maximum allowable temperature is 1093°C). The third layer is a plate of 6 35
od thermal contact.
Steet plare
To
6.35x3
45A
1370 C
Concerntiation
veluciy
37.8 C
mass Siynes
Figure. Layers in a composite furnace wall.
e temperature To on the inside of the refractory is 1370°C, while the temperature T; on the
side of the steel plate is 37.8° The heat loss through the furnace HnIlisexpectet tobe

144
40
&
7
%
6.
4.
3
U
Y
T
Q
K
tab
caps lock
V
C
shift 1
15800 W/m. Using the method of thermat resistance or otherwise, determine the thickness of
refractory and insulation that results in the minimum total thickness of the walł.
Exp
ト
shown on ti
Given thermal conductivities of refractory and insulation in W/(m K):
Layer
2 st 378
k at 37.8°C k at 1093°C
Refractory
3.12
6.23
3.12
Insulation
1.56
3.12
ニ
(i)
What is the maximum attainable temperature of the refractory?
What is the maximum attainable temperature of the insulator?
3.12
(ii)
1.56
(ii)
Considering the insulation being used, what is the temperature T2
(iv)
Calculate the temperature T2?
+3.120
4.120Acet.
(v)
What is temperature To?
(vi)
+61
determune the value of k at temperature To.
refractory
insulator

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Hi please show calculations or diagrams if required thank you
#m 3 E D C F3 $ 4 R F Ac = 1m² V Too,1=1 K h₁ = 1 W/m²K (5) Consider a wall (as shown above) of thickness L=1 m and thermal conductivity k-1 W/m-K. The left (x=0) and the right (x=1 m) surfaces of the wall are subject to convection with a convectional heat transfer coefficient h = 1 W/m²K and an ambient temperature T.= 1 K. Heat generation inside the wall is q=1W/m³. You may assume 1-D heat transfer, steady state condition, and neglect any thermal contact resistance. Find T(x). 44 % 5 Q Search F5 T G T₁ B x=0 * A 6 q=1 W/m³ k= 1W/mK L=1m F6 Y H F7 & 7 T₂ x= 1 m U N Top 2 = 1 K h₂=1 W/m²K PrtScn F8 8 Home M F9 ( 9 K End F10 0 L PgUp
1) The heat flux and surface temperature of a board are related to each other with the thickness written below. What is the heat conduction coefficient of the board? Accept conditions; a) One dimensional heat transfer in x direction, b) continuous heat transfer (stady state) c) properties do not change constantly. TA T = 60 C 9:-40W/m² T=20°C +L=0.05m
As shown in the sketh below, a steam pipe of 0.12-m inside diameter is insulated with a layer of calcium silicate. 12. Ts.2} 1, Ts,1} Steam Insulation = 490 K, respectively, (a) If the insulation is 27.5 mm thick and its inner and outer surfaces are maintained at T,1 what is the rate of heat loss per unit length (q) of the pipe, in W/m? = 800 K and T,2 (b) Determine the rate of heat loss per unit length (q'), in W/m, and outer surface temperature T,2, in K, for the steam pipe with the inner surface temperature fixed at T1 = 800 K, inner radius rį = 0.06 m, and outer radius ry = 0.12 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 Tsur = T, = 25°C. The surface emissivity of calcium silicate is approximately 0.8. %3D
Q4/ A room on the second floor of a house with a balcony has a door. The door made of teak (wood) and it contains a large sheet of glass (outside winter type) in the middle and constitutes 80% of the area of the door. Door thickness is 40 mm and the temperature in the room 25. °C when the temperature is in the balcony 8 °C. Calculate the rate of heat loss from the room to the balcony through the door. The door dimensions 2m x 1m. Assume Inside and outside still air thermal resistance f= 8.29 W/m2 °C and f. 34.1 W/m2 °C respectively
A wall consists of a layer of wood and a layer of cork insulation of the same thickness. The temperature inside is 34.0°C, and the temperature outside is 0.0°C. The thermal conductivity of wood is 0.130 W/(m·K) and the thermal conductivity of cork is 0.0460 W/(m·K). A) What is the temperature at the interface between the wood and the cork if the cork is on the inside and the wood on the outside? in C B) What is the temperature at the interface if the wood is on the inside and the cork is on the outside? in C C) It doesn’t matter whether the cork is placed on the inside or the outside of the wooden wall because the temperature at the interface differs for the two cases.the temperature at the interface differs for the two cases. the temperature at the interface is the same for the two cases.the temperature at the interface is the same for the two cases. the total thermal resistance is the same for the two cases.the total thermal resistance is the same for the two cases.…
Project Theme 4: Insulated bar A metal bar has a cross section of A mm². The length of the bar is B m. The bar is heated from one of its ends using the heating rate of C W. Simultaneously, the other end of the bar is maintained at a constant temperature T = D°C. Determine the temperature distribution within the metal bar. The thermal conductivity of the metal bar is E [W/(m°C)]. Determine the temperature distribution using analytical calculations or computer software (Excel, Matlab). Draw a graph showing the temperature distribution as a function of distance x from the heated end of the bar According to the Fourier's Law the heat flux density [W/m²] as a function of distance equals q(x) = dT (x) dT (x) -k- Now the heat quantity Q [W] flowing through the bar becomes Q =qA = -KA- dx dx Above, Heat Supply, kW k is thermal conductivity [kW/(m°C)] A is the surface are of cross section [m²] x = 0m Area, mm² Insulation -Temperature, T(x) Heat flow Constant point at x = Bm T = D °C x
Qigihar House in Heilongiiang Province, China Heat Loss Problems, BSCl 2101 Climate: Avg. remperature is 3.2°C Degree Days is 5000 Inside Air Temp. is 20°C Wall Construction, Inside to Out: 15mm Gypsum Plaster, Sand Aggregate Concrete Block, rectangular core, Sand and Gravi 15mm Cement Plaster, Sand Aggregate All 4 walls measure the same, 8m wide by 7mtall. The house is heated with electricity at a cost of $0.10kWh Calculate the RSI-total for the walls using the tabular method demonstrated in class, and the temperature drop through each element for the January 2.5% temperature. Calculate the rate of heat flow through the wall again for the January 2.5% temperature. Plot the temperature profile approximately to scale through a vertical cross-section of the wall. Calculate the January heating cost for the building. Calculate the annual heating cost for the building. Now add 2" ( 50.8mm ) of extruded polystyrene, smooth skin surface, 35kgm3 rigid insulation to the inside surfaces…
An office space of 15 ft x12 ft x10 ft height. The heat loss through walls is (6949.8 Btuh) if Tb.l.=80 F , To= -10 F , and Uwall=0.143 Btu/hr.ft2.F ? True or false
What is the heat loss through the windows of a passenger train left outside a station in winter, assuming that the temperature inside the train is 20°C, outside the train, -20°C, total heat transfer area 40 m2. The thickness of glass wall may be taken as 0.5 cm. The thermal conductivity of glass is 0.88 W/(m.K).
Insulating material is used to reduce heat loss from the heating furnace walls to the room. The surface temperature of the insulating material is 100 ° C and the other surfaces 20 ° C. Allowable heat loss up to 140 W / m2 from the wall. If the thermal conductivity of the insulation material is 0.05 W / (m ° C), calculate the required thickness of insulation. insulation thickness = Answer cm
The figure shows the cross section of a wall made of three layers. The thicknesses of the layers are L₁, L2=0.750 L₁, and L3 = 0.350 L₁. The thermal conductivities are k₁, k₂ = 0.840 k₁, and k3 = 0.780 k₁. The temperatures at the left and right sides of the wall are TH = 23 °C and Tc = -10 °C, respectively. Thermal conduction is steady. (a) What is the temperature difference AT2 across layer 2 (between the left and right sides of the layer)? If k2 were, instead, equal to 1.160 k₁, (b) would the rate at which energy is conducted through the wall be greater than, less than, or the same as previously, and (c) what would be the value of AT2? TH k₁ L₁ kg|kz kq L₂ L3 Tc