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Assistance on solving heat transfer transient problem
Posted May 4, 2017, 6:45 p.m. EDT 0 Replies
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Its a heat transfer transient problem between two glasses in a window, were we have to find temperatures θi & θj (temperature of 2 glasses in window), θk( temperature of air in between this glasses). And they have mentioned, to compute these temperature we have to use below two differential eqn. :
k.(dθi/dt) =∑ hrij.(θj−θi)+hcij.(θk−θi)+αei.ϕ > for each gas element
k.dθk/dt=∑ hckj.(θk−θj) > for air gap between the 2 glasses
On applying above equation in our scenario i got 3 coupled System of differential equation as below:
(dθi/dt) = -.816666666666667e-2*θi(t)+.666666666666667e-3*θj(t)+.138888888888889e-2*θk(t)+2.04
(dθj/dt) = -.666666666666667e-3*θi(t)-.294444444444444e-2*θj(t)-.138888888888889e-2*θk(t)+1.59
(dθk/dt) = -(1.27/0.01060)*θj(t)+(1.27/0.01060)*θk(t)+1.59
Could you please assist me how to solve this kind of problem.
Hello Karthik Vengatesan
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