We present full-orbit phase curve observations of the eccentric ($esim 0.08$) transiting hot Jupiter WASP-14b obtained in the 3.6 and 4.5 $mu$m bands using the textit{Spitzer Space Telescope}. We use two different methods for removing the intrapixel sensitivity effect and compare their efficacy in decoupling the instrumental noise. Our measured secondary eclipse depths of $0.1882%pm 0.0048%$ and $0.2247%pm 0.0086%$ at 3.6 and 4.5 $mu$m, respectively, are both consistent with a blackbody temperature of $2402pm 35$ K. We place a $2sigma$ upper limit on the nightside flux at 3.6 $mu$m and find it to be $9%pm 1%$ of the dayside flux, corresponding to a brightness temperature of 1079 K. At 4.5 $mu$m, the minimum planet flux is $30%pm 5%$ of the maximum flux, corresponding to a brightness temperature of $1380pm 65$ K. We compare our measured phase curves to the predictions of one-dimensional radiative transfer and three-dimensional general circulation models. We find that WASP-14bs measured dayside emission is consistent with a model atmosphere with equilibrium chemistry and a moderate temperature inversion. These same models tend to over-predict the nightside emission at 3.6 $mu$m, while under-predicting the nightside emission at 4.5 $mu$m. We propose that this discrepancy might be explained by an enhanced global C/O ratio. In addition, we find that the phase curves of WASP-14b ($7.8 M_{mathrm{Jup}}$) are consistent with a much lower albedo than those of other Jovian mass planets with thermal phase curve measurements, suggesting that it may be emitting detectable heat from the deep atmosphere or interior processes.
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