Find expression for ball temperature as a function of time


Consider the steel balls from 5.6, except now the air tempincreases with time as Tinf(t)=325K+a*t where a =0.1875K/s.

(a)Sketch ball temperature versus time for 0(b)Find the expression for the ball temp as a function oftime,T(t), and plot the ball temp for 0

For reference:

12mm dia. steel balls are annealed by heating to 1150K andslowly cooling to 400K in an air environment for which Tinf=325Kand h=20 W/m^2*K. Assuming the properties of the steel to bek=40W/m*K, roe=7800 kg/m^3, and c=600 J/kg*k.

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Mechanical Engineering: Find expression for ball temperature as a function of time
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