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Explain: The symbol D/Dt
Meaning of the symbol D/Dt.
(References the book Fluid Mechanics by Kundu and Cohen, Third Edition.)
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Explain: Stress Tensor
Description of stress tensor. Notation from the book Introduction to Continuum Mechanics by Lai, Rubin, and Krempl, Third Edition.
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I agree. I wish I had some extra time to make visuals. If you (or anyone) finds time to do a more thorough job, please post it and let me know about it - I'd like to see what people create on this topic.
Explain: Gradient in Polar Coordinates
Describes why the formula for the gradient of a function in polar coordinates is what it is.
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Explain: Heat Conduction Equation
Heat Conduction Equation
(Notation from the book: Intermediate Heat Transfer by Kau-Fui Vincent Wong)
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Explain: Mathematical "vector" versus MATLAB "vector"
In in language of math (like continuum mechanics) a vector is a thing that has length and direction. In MATLAB, a vector is a list of numbers like ...
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Explain: Scalar Projection
Example of determining the scalar projection of vector a onto vector b.
References:
Calculus Concepts and Contexts by James Stewart
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Explain: Conservation of momentum and material derivative
Why does the equation expressing conservation of momentum (Cauchy's equation of motion) use the material derivative D/Dt?
(Notation from the book F...
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Explain: Approximate integral of product of two functions
Approximate the integral of product of two functions.
In continuum mechanics, when computing the power, you multiply the force by the velocity. F...
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Explain: Stress Tensor
Description of stress tensor. Notation from the book Introduction to Continuum Mechanics by Lai, Rubin, and Krempl, Third Edition.
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Explain: Force applied in different place, torque the same
Talks about how you can move the point where a force is applied and keep the torque the same as long as you move along the direction of the force.
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Explain: Parametric Curve
This video talks about defining a curve mathematically.
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Explain: The symbol D/Dt
Meaning of the symbol D/Dt.
(References the book Fluid Mechanics by Kundu and Cohen, Third Edition.)
explainseries
uploaded
Note:
This video is about the difference between
(1) The full derivative with respect to time (which I think can be written with capital (D/Dt) or lowercase (d/dt). Because the material property is a function of space and time, with D/Dt we assume that a particle is being followed so x y and z ...