Derive an expression for the temperaturedistribution in a plane wall in whichdistributed heat sources vary according tothe linear relationq =qw[l+B(T – Tu)]Whereis a constant and equal to the heatgenerated per unit volume at the walltemperature Tw. Both sides of the plate aremaintained at Tw, and the plate thickness is.2L

Given:- Linear relation= q=qw1+βT-Tw Plate thickness= 2L Wall temperature= Tw To find: To find…

Answered: Derive an expression for the…

Derive an expression for the temperature distribution in a plane wall in which distributed heat sources vary according to the linear relation

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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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

Derive an expression for the temperature
distribution in a plane wall in which
distributed heat sources vary according to
the linear relation
q =qw[l+B(T – Tu)]
Where
is a constant and equal to the heat
generated per unit volume at the wall
temperature Tw. Both sides of the plate are
maintained at Tw, and the plate thickness is
.2L

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A pipe with 8 cm internal diameter, 9 cm outer diameter, 2 meter long, thermal conductivity 30W/mK is insulated by glass wool material with which thermal conductivity 0,05W/mK, thickness 4 cm. Internal surface temperature of the pipe T1 is 80°C, surrounding temperature where pipe is located is 20°C, convection heat transfer constant on outer surface of insulation is 25W/m?K. Kpo 30W/mk T.= 20°C h. = 25W/MK 4cm K= 0,05W/mK a. Detemine the heat loss from the pipe to surrounding (W)? b. What is temperature of the surface between glass wooden and pipe (T2)? c. What is critical insulation radius for pipe? Is insulation on the pipe succesful? Explain
The steady-state temperature distribution in a one-dimensional wall of thermal conductivity 50 W/m -K and thickness 50 mm is observed to be T(°C) = a + bx, where a = 200 °C, b=-2000 °C/m², and x is in meters. i. ii. What is the heat generation rate in the wall? (8) Determine the heat fluxes at the two wall faces. In what manner are these heat fluxes related to the heat generation rate? (
REFERENCE: FROM BOOK - ENGINEERING THERMOFLUIDS, M. MASSOUD
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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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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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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FROM THE BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD.