The Best Prandtl Number Explanation For Heat Transfer

Подписаться 6 тыс.

Просмотров 4,9 тыс.

50% 1

📏 Prandtl number is one of many dimensionless groups used in engineering. Its applications are most commonly found in heat transfer problems, as Prandtl tells us the ratio of momentum diffusivity and thermal diffusivity. 💯
✅ Tabulated data shows the characteristic differences in terms of heat transfer between liquids and gases, since one has a greater thermal diffusivity than the other.
🔔 Subscribe for more great Chemical Engineering content: / thechemengstudent
🎬 RELATED VIDEOS: 🎬
====================
📌 What Are Dimensionless Groups Video:
• Video
🎓 RELATED COURSES: 🎓
======================
📌 Free Dimensional Analysis Course:
www.chemengstu...
📖 ADDITIONAL RESOURCES: 📖
==========================
📌 Chemical Engineering Blog:
www.chemengstu...
⚙️ Welcome To The ChemEng Student ⚙️
==================================
🏆 The ultimate Chemical Engineering learning platform! Learning chemical engineering has never been easier, & more accessible. If you struggle with chemical and process engineering, then you have come to the right place.🚀
🗓️ Our regular content covers everything Chemical Engineering, from in-depth tutorials, to expert advice, support to help you in your chemical engineering journey and career. #thechemengstudent
🔴 Interested? Then why not subscribe! Click the bell icon to never be late: / thechemengstudent
CONNECT ON SOCIAL MEDIA
========================
📷- Instagram: / the.chemeng.student
👥- Facebook: / thechemengstudent
🐦- Twitter: / the_chemeng
📩 Email us for any enquiries: info@chemengstudent.com
#chemicalengineering #prnadltnumber #thechemengstudent

Опубликовано:

14 окт 2024

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист

Посмотреть позже

Комментарии : 17

@ulviss 5 месяцев назад

I used Buckingham's pi method and I got Prandtl, Nusselt and Reynolds number. Firstly thank you very much for providing free dimensionless analysis course. What I wonder is that how did one define their applications? For example we know that Reynolds number shows the types of flow or Prandtl number shows which diffusivity dominates. How did they come to those conclusions ? Because from derivations I can't see that)) I only proved mathematically.

@TheChemEngStudent 5 месяцев назад

Thank you for your kind words, glad you enjoyed the course. This is a great question, the assignment of each number was based on decades of observations, physical and empirical tests whereby, using a fundamental approach such as the Buckingham pi method the groups derived were then put through a series of tests in a wide range of applications, and only after the empirical predictions aligned with the observed behaviour could they state that for example Reynolds was applicable to fluid flow behaviour, whereas Nusselt provided details on heat transfer effects. I hope this answers your question, thanks again for watching!

@user-oq3qv7no8m Месяц назад

hello! I was wondering how Prandtl number and Rayleigh's number can be used together in simulating Rayleigh-benard convection? Thanks!

@TheChemEngStudent Месяц назад

That's a really interesting question! The key linkage here is in the use of Grashof number as the Rayleigh number is equal to multiplication of Prandtl and Grashof. Prandtl explains the thermal diffusivity whereas Grashof explains the buoyancy and viscosity. These combined can then be approximated to Nusselt number which explains the heat transfer effects. There are numerous correlations based on flow type, and geometric confinement. I hope this helps, thank you for watching!

@StephanieWood-r5z Год назад

I really enjoyed this lecture, I find dimensionless groups fascinating and think your dimensionsless course was very useful to me.

@TheChemEngStudent Год назад

Thank you for your kind words, and glad you enjoyed our Dimensionless Analysis course!

@domnicmel Год назад

Bonus Question - Answer: Prandtl number is dependent on fluid properties, which can vary based on surrounding conditions. For example, viscosity, specific heat and thermal conductivity of a fluid vary with temperature. So Prandtl number of the same fluid under different surrounding conditions will be different. Therefore it is safe to say that Prandtl number is dependent on surrounding systems.

@TheChemEngStudent Год назад

Excellent answer to this question, great description and detail! Thank you for watching!

@OneEyedJacker 7 месяцев назад

A: Yes, Pr is dependent upon system geometry because system geometry can have a marked effect on the momentum transfer and diffusivity efficiency. Complex geometry can impede flow and trip the boundary from laminar to turbulent, for example, or it could channel flows to higher or lower velocities in accordance with Bernoulli’s principle.

@TheChemEngStudent 7 месяцев назад

Amazing answer! Thank you so much for watching!

@deeplaha8449 Год назад

Nice lecture sir 🙏 love from India 🇮🇳 ❤.......... About the qs....I think prandtl number only depends on the fluid property it doesn't depend on the surrounding system..... After the date is over could u plz explain this qs....it will help us a lot sir 🙏

@TheChemEngStudent Год назад

Thank you for your answer, good luck! I will create subsequent videos tutorials to cover your question, thank you for your support!

@deeplaha8449 Год назад

@@TheChemEngStudent tnx a lot sir 💟

@richardpotter9986 Год назад

The Prandtl number isn't dependent on the surrounding system, but is dependent on the fluid properties such as specific heat capacity, viscosity and thermal conductivity.