Solving the Energy Balance Problem

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


For the energy balance of the fluid, I didn't understand the mCpθ where θ is the temperature and mCp(θ+dθ/dx θ) terms. I know that for a control volume, the energy balance for incompressible steady flow etc.. ΔH = Q = mCpΔθ. 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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tonyjk said:
Hello,
I was reading an article, and I found something unfamiliar(sorry I am not into heat transfer a lot) :
Laminar_flow.png


For the energy balance of the fluid, I didn't understand the mCpθ where θ is the temperature and mCp(θ+dθ/dx θ) terms. I know that for a control volume, the energy balance for incompressible steady flow etc.. ΔH = Q = mCpΔθ. 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
I can see what they are doing, but I don't like it being done this way either.

Chet