6. (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, (r = 4x10-3 m). iii. Find the rate of change of energy storage in the wall. iv. Find the time rate of temperature change at x = 1 mm, and x = 4 mm.
6. (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, (r = 4x10-3 m). iii. Find the rate of change of energy storage in the wall. iv. Find the time rate of temperature change at x = 1 mm, and x = 4 mm.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter1: Basic Modes Of Heat Transfer
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Problem 1.70P: The thermal conductivity of fibreglass insulation at 67F is 0.02 Btu/h ft F. What is its value in SI...
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please send handwritten solution Q6 part i
![6. (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 +bx+cr², where T is in degrees Celsius, and x is in
metres. The coefficents are;
a = 200 °C,
b=-10000 °C/m, and
c=1x106 C/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).
-3
ii. What boundary conditions are implied at the surfaces of the
wall, (r = 0), and, (x = 4x10-³ m).
iii. Find the rate of change of energy storage in the wall.
iv. Find the time rate of temperature change at r = 1 mm, and
x = 4 mm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25bfdcbf-4a1c-4959-bc5c-2044369cdf92%2F5fbf5a76-2fb4-473f-8ffa-f03211abb8d0%2Fvmqp5rm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. (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 +bx+cr², where T is in degrees Celsius, and x is in
metres. The coefficents are;
a = 200 °C,
b=-10000 °C/m, and
c=1x106 C/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).
-3
ii. What boundary conditions are implied at the surfaces of the
wall, (r = 0), and, (x = 4x10-³ m).
iii. Find the rate of change of energy storage in the wall.
iv. Find the time rate of temperature change at r = 1 mm, and
x = 4 mm.
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