=Consider a large plane wall of thickness L=0.3 m, thermal conductivity k = 2.5 W/m.K,and surface area A = 12 m². The left side of the wall at x=0 is subjected to a net heatflux of ɖo = 700 W/m² while the temperature at that surface is measured to be T₁ =80°C. Assuming constant thermal conductivity and no heat generation in the wall, (a)express the differential equation and the boundary equations for steady one-dimensional heat conduction through the wall, (b) obtain a relation for the variation ofthe temperature in the wall by solving the differential equation, and (c) evaluate thetemperature of the right surface of the wall at x=L.TiдоLX

Step 1: According to the data and diagram given in the question,ASSUMPTIONS:-1-DIMENTIONAL…

Answered: = Consider a large plane wall of…

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

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#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
How long should it take to boil an egg? Model the egg as a sphere with radius of 2.3 cm that has properties similar to water with a density of = 1000 kg/m3 and thermal conductivity of k = 0.606 Watts/(mC) and specific heat of c = 4182 J/(kg C). Suppose that an egg is fully cooked when the temperature at the center reaches 70 C. Initially the egg is taken out of the fridge at 4 C and placed in the boiling water at 100 C. Since the egg shell is very thin assume that it quickly reaches a temperature of 100 C. The protein in the egg effectively immobilizes the water so the heat conduction is purely conduction (no convection). Plot the temperature of the egg over time and use the data tooltip in MATLAB to make your conclusion on the time it takes to cook the egg in minutes.
3- A large plane wall has a thickness L=50 cm and thermal conductivity k=25 W/m.K. On the left surface (x=0), it is subjected to a uniform heat flux go, while the surface temperature To is constant. On the right surface, it experiences convection and radiation heat transfer while the surface temperature is TL = 225°C and surrounding temperature is 25°C. The emissivity and the convection heat transfer coefficient on the right surface are 0.7 and 15 W/m²K, respectively. (a) Derive the temperature distribution equation for the wall parametrically (based on x, T₁, qo, L, and k). Plane wall Tsurr = 25°C T% = 25°C k = 25 W/m.K h = 15 W/m²K 90 ε = 0.7 T₁ = 225°C (b) Determine the temperature of the left surface of the wall at x=0? L x
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Q2: A 2.5 -mm-diameter electrical wire is insulated by a 2-mm-thick rubberized sheath (* = 0.11 W/m K), and the wire/sheath interface. The convection heat transfer coefficient of the outer surface of the sheath is 10 W/m² K, and the temperature of the ambient air is 20 C. If the temperature of the insulation may not exceed 50 C, what is the maximum allowable electrical power that may be dissipated per unit length of the conductor? What is the critical radius of the insulation?
1. Temperatures are measured at the left-hand face and at a point 4 cm from the left-hand face of the planar wall shown in the figure below. These temperatures are T₁ = 45.3 °C and T* = 21.2 °C. The heat flow through the planar wall is steady and one dimensional. What is the value of T2 at the right-hand surface of the wall? TI T* 4 cm 10 cm T2
Suppose that the 10 cm thick concrete wall of a commercial building measures 30 mby 4 m. The energy impinging on the surface is 700 W/m^2. Under these conditionsthe external air temperature is 25ºC, and the internal and external surfacetemperatures of the concrete wall are 17ºC and 40ºC, respectively. Calculate the net amount of thermal energy radiated by the wall answer = 41,880 W Data for wall: Heat transfer coefficient of air at 25ºC = 5 W/m^2KThermal conductivity of concrete = 1.2 W/mKEmissivity of concrete = 0.85Stefan’s constant = 5.7 x 10^-8 W/m^2K^4
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A team of students tests a material for its thermal conductivity (k). After 20 minutes in a heat box, the temperature is 48° C inside the box and 28° C on top of the material. The following data is true about this test: Area of material = .0225 m2 Thickness of material = .0127 m Light bulb = 25 W What is the thermal conductivity constant for the material? Calculate the amount of energy transferred through the material. Determine the R-value of the material. Based on your calculations, would the material be a reasonable choice for home insulation? Yes of No
SOLVE SIMPLY SO I CAN UNDERSTAND :)FINAL ANSWERS MUST BE ROUND TO 4 DECIMAL PLACES AND BOXED!
b) The fuselage of an aeroplane consists of the following three layers: the outer layer made from aluminium alloy of a thickness 20 mm, the middle layer having convection heat transfer coefficient, h of 10 W/m2°C and an inner layer of plastic of a thickness 40 mm. If the temperature outside the aeroplane is -60 degrees centigrade at a high altitude and the inside of the fuselage is to be maintained at +20 degrees centigrade, find: i) The heat loss per unit area (Note: Area = 1 m²) ii) The temperature at the common surfaces. Thermal conductivity, k values are: Aluminium alloy = 4 W/m °C Plastic layer = 0.5 W/m °C
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

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