The steady-state temperature distribution in a one[1]dimensional wall of thermal conductivity 50 W /m · K and thickness 40 mm is observed to beT(°C) = a + bx², where a = 200°C, b = -2000°C/m2, and x is in meters. (a) What is the heat generation rate in the wall? (b) Determine the heat fluxes atthe two wall faces. In what manner are these heat fluxes related to the heat generation rate?

Answered: Image /qna-images/answer/61661e10-463a-47e5-86fc-29bcd4ac1d7e.jpg

Answered: The steady-state temperature…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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2. A steel plate of k=50w/mk and thickness 10cm passes a heat flux by conduction of 25kW/m² . If the temperature of hot surface of plate is 100C, then what is the temperature of the cooler side of plate?
Consider a permanent one-dimensional heat conduction on a flat wall of length L = 0.4 m and constant thermal conductivity equal to 0.9 W/m.K, without heat generation. a) If the inner wall is T(0) = 140°C and receives a constant thermal flux of q', = 400 W/m?, what is the temperature at the outer surface, T(L) = ? b) If T(0) = 50°C and the outside of the wall is exposed to air convection at 25°C and h=10 W/k.m?, what is the temperature on the outside surface, T(L)?
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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.
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.
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.
Derive the combined one-dimensional heat conduction equation.
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.
In the continuous regime, there is a constant heat generation of q = 3×107 W/m³ in a one-dimensional wall with a thickness of 20 mm. The heat conduction coefficient of the wall material is k = 32 W/ mK. The temperature Ts on the wall surface is Ts1 = 127 ° C and Ts on the other surface is Ts2= 27 ° C. So, find where the highest temperature occurs in the wall?
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
Write down the Fourier heat conduction equation and explain the meaning of each term in the equation in units. Find the heat conduction coefficient of a cylindrical material with a diameter of 25mm, a length of 30mm, temperatures of its two surfaces T1 = 40.2oC, T2 = 38.9oC, respectively, and a given thermal power amount of 22.4W.

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