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.
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.
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.
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!
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 🙏
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.
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!
I really enjoyed this lecture, I find dimensionless groups fascinating and think your dimensionsless course was very useful to me.
Thank you for your kind words, and glad you enjoyed our Dimensionless Analysis course!
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.
Excellent answer to this question, great description and detail! Thank you for watching!
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.
Amazing answer! Thank you so much for watching!
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.
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!
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 🙏
Thank you for your answer, good luck! I will create subsequent videos tutorials to cover your question, thank you for your support!
@@TheChemEngStudent tnx a lot sir 💟
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.
hello! I was wondering how Prandtl number and Rayleigh's number can be used together in simulating Rayleigh-benard convection? Thanks!
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!
Thank you ;)
Thank you sir for your kind words!
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