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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A plane wall of thickness 2L = 40 mm and thermal conductivity
 experiences uniform volumetric heat generation at a rate
, while convection heat transfer occurs at both of its surfaces
 each of which is exposed to a fluid of temperature
 Under steady-state conditions, the temperature distribution in the wall is of the form
 whereÂ
 and x is in meters. The origin of the x-coordinate is at the midplane of the wall.
Â
(a) Sketch the temperature distribution and identify significant physical features.
(b) What is the volumetric rate of heat generation in the wall?
(c) Determine the surface heat fluxes,Â
 and
  How are these fluxes related to the heat generation rate?
(d) What are the convection coefficients for the surfaces at
Â
(e) Obtain an expression for the heat flux distribution
 Is the heat flux zero at any location? Explain any significant features of the distribution.
(f) If the source of the heat generation is suddenly deactivated
 what is the rate of change of energy stored in the wall at this instant?
(g) What temperature will the wall eventually reach with
 How much energy must be removed by the fluid per unit area of the wall (J/m2) to reach this state? The density and specific heat of the wall material are 2600 kg/m3 and 800 J/kg ∙ K, respectively.
Â
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