Non-Isothermal Systems in Transport Phenomena — Lesson 3

This lesson covers the equations of change for non-isothermal systems in transport phenomena. It delves into the details of equations of change for non-isothermal systems and the derivation of respective conservation equations. The lesson also recaps the basics of continuum hypothesis and transport mechanisms, focusing on molecular transport mechanisms related to momentum transfer, heat transfer, and mass transfer. It further explains the analogy among these transfers, especially when governed by molecular transport. The lesson concludes with the derivation of the equation of continuity, equation of motion, and the energy equation.

Video Highlights

04:11 - Explanation of the different forms of energy associated with a system and the mechanisms of energy transport.
10:37 - Derivation of the general form of the energy equation and its conversion into mathematical form.
45:12 - Explanation of the process of switching from internal energy to enthalpy and further simplification of the equation to derive the equation of change for temperature.
49:43 - Presentation of special forms of the energy equation for different cases such as ideal gas, fluid flowing with constant pressure, fluid with constant density, and stationary solid.
59:58 - Conclusion of the lecture with a summary of the equations derived and a preview of the next lecture's content.

Key Takeaways

• The equations of change for non-isothermal systems are crucial in understanding transport phenomena.
• Molecular transport mechanisms play a significant role in momentum transfer, heat transfer, and mass transfer.
• The equation of continuity, equation of motion, and the energy equation are derived and explained in detail.
• The conservation of energy is a key concept in understanding the balance of energy in a system.
• The general form of the energy equation is derived, providing a comprehensive understanding of the topic.