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I was reading an article, and I found something unfamiliar(sorry I am not into heat transfer a lot) :

For the energy balance of the fluid, I didn't understand the mC_{p}θ where θ is the temperature and mC_{p}(θ+dθ/dx θ) terms. I know that for a control volume, the energy balance for incompressible steady flow etc.. ΔH = Q = mC_{p}Δθ. I know here we will have the same result at the end but the idea of taking these two terms as heat flux confused me.

Thank you

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# Energy Balance problem

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