Problemswithin the wall is T(x) = a(L- ) +b wherea = 10°C/m2 and b 30°C, what is the thermal con-ductivity of the wall? What is the value of the convec-tion heat transfer coefficient, h?2.11 Consider steady-state conditions for one-dimensionalconduction in a plane wall having a thermal conductiv-ity k 50 W/m K and a thickness L = 0.25 m, with nointernal heat generation.2.T2T1LDetermine the heat flux and the unknown quantity foreach case and sketch the temperature distribution, indi-cating the direction of the heat flux.2CaseTC)dTldx (K/m)T2(°C)150-202-30- 10370160440-80530200

Given data as per questionAssumptionsSteady state condition.One dimensional conductionNo internal…

Answered: Problems within the wall is T(x) = a(L-…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Heat transfer
4. A wall of thickness 10cm conducts heat at rate of 30W/m² when the temperature difference across wall is 10K. What is thermal conductivity (W/mK)
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(Q3) sk) - A 5mx7m wall consists of 3 glass windows of 1.5mx1.5m dimensions. The wall has thickness of 0.125 m and a thermal conductivity of 0.5 W/m.K. while the glass windows are 6 mm thick with a thermal conductivity of 1:24 W/mK. The values of internal and external surface conductance for the wall (including glass) are 8.1W/m2 K and 34.2 W/m² K, respectively. The internal and external temperatures are 20°C and -30°C, respectively. Calculate the total heat transfer rate through the wall. What percentage of this heat transfer is through the windows? R
A Multi-layer wall of a building is shown in the following figure. The thermal conductivity of A, B, C, D, and E are: 30, 5, 1.67, 10.5, 6 W/m k, respectively. Assume one dimentional heat transfer. The area of A = D = E =4 m?, and B = C= 2 m². The thickness of each layer is 10 cm. The temperature of surface A is 25 °C, and the temperature of surface E is 38 °C. Calculate the heat transfer rate through the wall. B A D E C
T 1000 K 350 K Heat flow 6k 4k Heat transfer through a composite wall of two sections, each having same thickness (l), is shown in figure. The thermal conductivity of one section is 6k and that of the other is 4k respectively. The left face of wall is at 1000 K and right face at 350 K. The temperature T(in K) of the interface of the composite wall is .
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 Wm-2. Under these conditionsthe external air temperature is 25ºC, and the internal and external surfacetemperatures of the concrete wall are 17ºC and 40ºC, respectively.(a) State and briefly describe the three heat transfer mechanisms.[30%](b) Calculate the net amount of thermal energy radiated by the wall.[40%](c) State your assumptions and briefly discuss their effect on the relativesizes of the heat transfer mechanisms.[30%]Data for Question A3.Heat transfer coefficient of air at 25ºC = 5 Wm-2K-1Thermal conductivity of concrete = 1.2 Wm-1K-1Emissivity of concrete = 0.85Stefan’s constant = 5.7 x 10-8 Wm-2K-4
Check Biot number and do the problem in 20 minutes
An aluminum tube is 200 cm long and has a outside diameter of 2 cm and wall thickness of 5 mm. One end is kept at a constant temperature of 300°C and the other is kept at a temperature or 10 °C. Assume the tube sides are adiabatic. Calculate the heat transfer through the tube. Use finite difference analysis to calculate the temperature very 10 cms.
The composite wall of an oven consists of three materials, two of which are ofknown thermal conductivity, kA = 25 W/m ⋅ K and kC = 60 W/m ⋅ K, and knownthickness, LA = 0.40 m and LC = 0.20 m. The third material, B, which is sandwichedbetween materials A and C, is of known thickness, LB = 0.20 m, but unknownthermal conductivity kB. Under steady-state operating conditions, measurementsreveal an outer surface temperature of Ts,o = 20°C, an inner surface temperature ofTs,i = 600°C, and an oven air temperature of T∞ = 800°C. The inside convection coefficient h is known to be 25 W/m2 ⋅K. Neglecting convection transfer effect,what is the value of kB?
A material P of thickness 1 mm is sandwiched between two steel slabs, as shown in the figure below. A heat flux 10 kW/m² is supplied to one of the steel slabs as shown. The boundary temperatures of the slabs are indicated in the figure. Assume thermal conductivity of this steel is 10 W/m.K. considering one-dimensional steady state heat conduction for the configuration, the thermal conductivity (k, in W/m.K) of material P is. k=? q=10kW/m² Steel slab T₁ = 500 K P Steel slab T₁ = 360 K All dimensions in mm
1- A solid infinitely long cylinder, radius 2 cm, has uniform internal heat generation. The temperature distribution in the cylinder is T(r) = = 256 – 8.6 x 104 r² where r is in meters, T in °C and the thermal conductivity of the cylinder material is 16 W/ m °C. Determine: (a) The temperature at the centerline. (b) The surface temperature. (c) The heat flux at the surface. (d) The rate of heat transfer to the surrounding per unit meter of cylinder length.

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