(a) The temperature distribution across a wall of an aluminium cylin- der block, 4 mm thick at a certain instant of time is given as; T(x) = = a + b + cr², where T is in degrees Celsius, and x is in metres. The coefficents are; a= 200 °C, b=-10000 °C/m, and C= 1x106⁰ €/m². The area of the cylinder wall, normal to the direction of heat conduction is, A = 20 mm². The cylinder block has material properties as follows; density, p = 2700 kg/m³, conductivity, K = 220W/m, and, specific heat capacity, c = 900J/kgK. i. Find the rate of heat transfer entering the wall, (r = 0), and leaving the wall, (r = 4x10-³ m). ii. What boundary conditions are implied at the surfaces of the wall, (r = 0), and, (x = 4x10-3 m).

(a) The temperature distribution across a wall of an aluminium cylin- der block, 4 mm thick at a certain instant of time is given as; T(x) = = a + b + cr², where T is in degrees Celsius, and x is in metres. The coefficents are; a= 200 °C, b=-10000 °C/m, and C= 1x106⁰ €/m². The area of the cylinder wall, normal to the direction of heat conduction is, A = 20 mm². The cylinder block has material properties as follows; density, p = 2700 kg/m³, conductivity, K = 220W/m, and, specific heat capacity, c = 900J/kgK. i. Find the rate of heat transfer entering the wall, (r = 0), and leaving the wall, (r = 4x10-³ m). ii. What boundary conditions are implied at the surfaces of the wall, (r = 0), and, (x = 4x10-3 m).

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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