A plane wall of thickness 2L= 30 mm and thermal conductivity k= 3 W/m·K experiences uniform...
A plane wall of thickness 2L= 30 mm and thermal conductivity k=
3 W/m·K experiences uniform volumetric heat generation at a rate
q˙, while convection heat transfer occurs at both of its surfaces
(x=-L, +L), each of which is exposed to a fluid of temperature
∞T∞= 20°C. Under steady-state conditions, the temperature
distribution in the wall is of the form T(x)=a+bx+cx2 where a=
82.0°C, b= -210°C/m, c= -2 × 104°C/m2, and
x is in meters. The origin of the x-coordinate is at the
midplane of the wall.
(a) What is the volumetric rate q˙ of heat generation in the
wall?
(b) Determine the surface heat fluxes, qx"(-L)and qx"(+L).
(c) What are the convection coefficients for the surfaces at x=-L
and x=+L?
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A plane wall of thickness 2L= 30 mm and thermal conductivity k=
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