Professors I had only put the theory on the board without examples. You clearly, concisely, and professionally presented the educational material. The learning objective is clear, and reverse engineering the lesson plan is easy. As an engineer and educator, I commend you on your subject matter knowledge and pedagogical technique. It was a pleasure.
Thank you for your kind comment. Please tell your friends and colleagues about my RUclips channel where there are hundreds of free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.
Thank you for your comment. Please tell your friends and colleagues about my RUclips channel where there are hundreds of free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.
The equation fo shear strain in your textbook and Munson's textbook are different. In your equation, there is a one half but in Munson there isn't. What is the difference in these equations?
Great question! Munson does not define the strain rate TENSOR, but I do. The factor of 1/2 is necessary to combine the linear strain rates and shear strain rates into one second-order tensor. I discuss this in more detail in my graduate fluids lesson on this topic: ruclips.net/video/7Xn0Hyye1JI/видео.html Note that in that video I define the shear strain rate without the factor of 1/2, but then use the 1/2 when defining the tensor. Thus, technically, Munson and I agree. In the end, when applied to the equations of fluid motion, we end up with the same equation - the Navier-Stokes equation.
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Thanks a lot professor I got a question I haven't taken the course of applied mathematic for engineers yet but i took the one of ordinary differential equations The bottom line is ,does that affect figuring out the course of fluid mechanics
For a good portion of undergraduate fluid mechanics, knowledge of ODEs might be sufficient. However, when we get into the equations of fluid motion, you must understand partial differential equations (PDEs).
Thank you for your comment. I am glad that my videos have been useful to you! Please tell your friends and colleagues about my RUclips channel where there are over 500 free videos about the Bible, fluid mechanics, science, math, Excel, statistics, air pollution, and other topics. I would greatly appreciate it.
The fluid still cannot gain mass right the area between the atoms is changing, Right? That means that for water heating it up will expand and when gass heating it up it will decrease.
Damn, US universities are so hard core that they teach strain rate tensors to undergrads. In my UK university (which is top 5 in civil), they didnt teach us any of that. But i thought these are linear strains and shear strains instead of linear strain rates and shear strain rate specifically
strain represents the actual distortion - this is used in solid mechanics to show how much a solid has distorted. In fluids, there is continual distortion, so strain itself is not so useful. That is why in fluid mechanics we use strain RATES.
Thank you for your comment. Please tell your friends and colleagues about my RUclips channel where there are hundreds of free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.
@@johncimbalaI found out the reason for my confusion. Since solid mechanics uses u, v and w to represent displacements while fluid mechanics uses u, v and w to represent velocities, so when I read 1/2 (u nabla+ nabla u), my first thought is going straight to that this is the strain tensor and I didn't realise u, v and w was representing the velocity in fluid mechanics
@@johncimbalaIs the strain rate tensor not the most appropriate for fluids since most fluids undergo large deformations so it is necessary to use the rate of deformation tensor(stretching tensor), where it is formulated in terms of the spatial coordinates.
Thank you for your comment. Please tell your friends and colleagues about my RUclips channel where there are almost 500 free videos about the Bible, fluid mechanics, science, math, Excel, statistics, air pollution, and other topics. I would greatly appreciate it.
Professors I had only put the theory on the board without examples. You clearly, concisely, and professionally presented the educational material. The learning objective is clear, and reverse engineering the lesson plan is easy. As an engineer and educator, I commend you on your subject matter knowledge and pedagogical technique. It was a pleasure.
Thank you for your kind comment. Please tell your friends and colleagues about my RUclips channel where there are hundreds of free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.
Very concise and clear explanations, very good pedagogy
Thank you, this explanation was fantastic
Thank you. Please tell others about my channel.
Very good explanation
Good job 👍👍
Thank you. Please tell others about my RUclips channel so that more people can learn fluid mechanics.
This was so helpful! Thank you! 👐
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Thank you sir for your explanation. I have a question about the unit of epsilon (the tensor) is it an dimensionless or not
You can answer this question by looking at one of the components. E.g., du/dx. u is length/time and x is length, so the units of epsilon are 1/time.
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great explanation thanks
Thank you. Please tell others about my channel.
Thank tou for explaining🙏
The equation fo shear strain in your textbook and Munson's textbook are different.
In your equation, there is a one half but in Munson there isn't.
What is the difference in these equations?
Great question! Munson does not define the strain rate TENSOR, but I do. The factor of 1/2 is necessary to combine the linear strain rates and shear strain rates into one second-order tensor. I discuss this in more detail in my graduate fluids lesson on this topic:
ruclips.net/video/7Xn0Hyye1JI/видео.html
Note that in that video I define the shear strain rate without the factor of 1/2, but then use the 1/2 when defining the tensor. Thus, technically, Munson and I agree. In the end, when applied to the equations of fluid motion, we end up with the same equation - the Navier-Stokes equation.
Thank you for your comment. Please tell your friends and colleagues about my RUclips channel where there are more than 400 free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.
Thanks a lot professor
I got a question
I haven't taken the course of applied mathematic for engineers yet but i took the one of ordinary differential equations
The bottom line is ,does that affect figuring out the course of fluid mechanics
For a good portion of undergraduate fluid mechanics, knowledge of ODEs might be sufficient. However, when we get into the equations of fluid motion, you must understand partial differential equations (PDEs).
@johncimbala Another question: Are your videos enough, or should i study from the book ?
Thanks a lot for your time
@@hishamsalameh5750 I call the videos "supplements." You would definitely learn more by reading and studying the book.
thank you
Thanks, a lot.
Thank you for your comment. I am glad that my videos have been useful to you! Please tell your friends and colleagues about my RUclips channel where there are over 500 free videos about the Bible, fluid mechanics, science, math, Excel, statistics, air pollution, and other topics. I would greatly appreciate it.
Helped alot
I thought the sum of epsilon xx, epsilon yy and epsilon zz is volumetric strain (for small strain theory)
The fluid still cannot gain mass right the area between the atoms is changing, Right? That means that for water heating it up will expand and when gass heating it up it will decrease.
Not sure what you are saying here...
Thank you. 63 more :)
Damn, US universities are so hard core that they teach strain rate tensors to undergrads. In my UK university (which is top 5 in civil), they didnt teach us any of that.
But i thought these are linear strains and shear strains instead of linear strain rates and shear strain rate specifically
strain represents the actual distortion - this is used in solid mechanics to show how much a solid has distorted. In fluids, there is continual distortion, so strain itself is not so useful. That is why in fluid mechanics we use strain RATES.
Thank you for your comment. Please tell your friends and colleagues about my RUclips channel where there are hundreds of free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.
@@johncimbalaI found out the reason for my confusion. Since solid mechanics uses u, v and w to represent displacements while fluid mechanics uses u, v and w to represent velocities, so when I read 1/2 (u nabla+ nabla u), my first thought is going straight to that this is the strain tensor and I didn't realise u, v and w was representing the velocity in fluid mechanics
@@johncimbalaI will gladly share your great channel
@@johncimbalaIs the strain rate tensor not the most appropriate for fluids since most fluids undergo large deformations so it is necessary to use the rate of deformation tensor(stretching tensor), where it is formulated in terms of the spatial coordinates.
wow! they skip this part in my university!!!
Thank you for your comment. Please tell your friends and colleagues about my RUclips channel where there are almost 500 free videos about the Bible, fluid mechanics, science, math, Excel, statistics, air pollution, and other topics. I would greatly appreciate it.