Consider a large plane wall of thickness L, thermal conductivity k, and surface area A. The left side of the wall is subjectedto a net heat flux of q while the temperature at that surface is measured to be T,. Assuming constant thermal conductivityand no heat generation in the wall.(a) Write the differential equation (in simplest form) and the boundary conditions for steady one-dimensional heatconduction through the pipe wall.(b) Obtain a relation for the variation of temperature in the plate by solving the differential equation.T

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Answered: Consider a large plane wal of thickness…

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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Diagram of the problem, necessary formulas, clearance and numerical solution Two heat reservoirs with respective temperatures of 325 K and 275 K are brought into contact by an iron rod 200 cm long and 24 cm2 in cross section. Calculate the heat flux between the reservoirs when the system reaches its steady state. The thermal conductivity of iron at 25 ◦C is 79.5 W/m K.
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heat transfer course Consider a large plate as given in the figure below. The thermal conductivity and thickness of the plate are 0,55 W/m.K and 3,915 mm. What is the surface temperature (Ts) of the plate in K for given properties?
Diagram of the problem, necessary formulas, clearance and numerical solution Two heat reservoirs with respective temperatures of 325 K and 275 K are brought into contact by an iron rod 200 cm long and 24 cm2 in cross section. Calculate the heat flux between the reservoirs when the system reaches its steady state. The thermal conductivity of iron at 25 ◦C is 79.5 W/m K.
An insulated steam pipe is covered with two layers of insulation as seen figure below. Draw the thermal resistance network. Develop a formula to calculate the heat transfer rate per unit length of the pipe. How can you determine the temperature difference AT across the pipe wall and second insulation layer. T, = 250°C. Ins.2 Ins. 1 Pipe r3 -T, = 20°C
Consider a large plane wali of thickness L03 m thermal conductivity k25 /m K, end surfece aree A 12 m The left side of the well ot x=O is subjected to a net heat flux of go760 W/m while the temperature at that surfece is measured to be T 80°C Assuming constant thermal conductivity and no heat generation in the wall, ovaluate the temperature of the right surface of the wall at xEL The temperature of the right surfaoe of the wall at x Lis
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. Consider steady two-dimensional in a long solid bar of (a) square and 9b) rectangular cross sections as shown in the figure. The measured temperatures at selected points of the outer surfaces are as shown. The thermal conductivity of the body is k = 20 W/m. °C and there is no heat generation. Using the finite difference method with a mesh size Ax = Ay = 1 cm, obtain the finite difference formulation for the nodes.
A 5cm copper plate has a thermal conductivity of 395 ?/m-k is used as a heat sink for a semiconductor. A 1mm layer of thermal paste lies in between the two and it has a thermal conductivity of 10 ? /m-k. Solve for the heat transferred at a 5cmx5cm area if the semiconductor is 80C, while the copper plate has a temperature of 30C since it is exposed to ambient air temperature.
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
The lining of box-type fumace is made up of a refractory layer and steel plate as shown in the figure. Steady state temperature at the surface of the refractory is 1273 K and that at the outer steel surface is 473 K. If the steady state heat flux through the refractory-steel plate composite is 1600 W/m², and heat flow is along x-direction only, the thermal contact resistance (m² K/W) between refractory and steel is_ steel Refractory 1273K Furnace 473K Ambient Given data: Thermal conductivity of refractory = 1.2 W/m-K Thickness of refractory lining = 80mm Thermal conductivity of steel = 32 W/mK Thickness of steel plate = 4mm
Two approaches used in development of the thermal resistance network in the x-direction for multi-dimensional problems are to assume any plane wall normal to the x-axis to be isothermal and to assume any plane parallel to the x-axis to be adiabatic. True or False True False

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