Source Of Complexity

Lesson

Introduction
Matter of scale
Variability
Non-linearity
Introduction to differential equations
Governing equations
- Introduction
- Balance of mass and Linear Momentum
- Balance of Moment of Momentum
- First law of thermodynamics
- Second law of thermodynamics
Different approaches
Exercises
To go further
Conclusion

First law of thermodynamics

The time rate of change of the total energy (comprising kinetic and internal energy) is balanced by the power of working of the (external) volume and surface forces plus the (external) non-mechanical energy flow (heat flow) through the surface of the body plus the external non-mechanical energy supply (radiation) to the body volume.

$\begin{equation*} \frac{d}{dt}(\varepsilon_V + \beta_V) = L_{\partial V} + Q_{\partial V} + L_V + Q_V \end{equation*}$

is the Kinetic and internal energy within V

the sum of the power of working of the surface forces and the non-mechanical energy (heat) flow from the environment to the body.

is the power of working of the body forces plus the energy supplied by radiation.

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