Mathematical Modeling: Energy Balances

[@junhanlim7616]

Hi, thank you for the video. Could I enquire too on what if there is heat loss from the tank? How should we include the heat loss term into the model?

[@howiesp81]

How about if I want to model the output temperature as a function of mass flow rate? How do I go about getting the differential equation and solving that?

[@LearnChemE]

The final equation in this screencast is a differential equation that models output temperature as a function of mass flow rate

[@TeeGeeOh]

Wouldn't you have to multiply the WCp terms by rho to get things in mass terms since we are expressing enthalpy on a per mass basis?

[@sapphire8881]

They used W as the mass flow rate, not the volumetric. Here, W = F*rho, where F is the volumetric flow rate. And that's how you get rid of the density terms.

[@remyanderson8526]

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[@averyraylan1078]

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[@STWNoman]

How to code it

[@vickysharma80]

why is accumulation taken as d(energy)/dt ???

[@ZeroGunzRoyCHP]

Accumulation is defined as the change of energy in the tank. If positive, it means that it is gaining energy, if negative, it is losing energy. d(energy)/dt means Change of energy in the tank over time. Hence we can say that the accumulation term here is d(energy)/dt It is almost the same as our mass balance where accumulation is taken is d(mass)/dt. The change in the mass in the tank over time. If positive, means mass is increasing, if negative, means mass is decreasing~