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Results tagged with continuum-mechanics
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user 137850
Continuum mechanics is a branch of mechanics that deals with the analysis of the kinematics and the mechanical behavior of materials modeled as a continuous mass rather than as discrete particles.
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Why total derivative becomes partial when we use the differential form of continuity equation?
The integral form: $\frac{d q}{d t}+\oint_{S} \vec{j} \cdot d \vec{S}=0$
The differential form: ${\frac {\partial \rho }{\partial t}}+\nabla \cdot \vec{j} =0$
How to intuitively understand the change …
- 15
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Why the continuity equation means constant densities of each fluid parcel?
As we know, the definition of material derivative of $\varphi$ is: $\frac{D\varphi}{Dt}\equiv \frac{\partial \varphi}{\partial t} + \mathbf{u}\cdot\nabla\varphi$. And the physical meaning of material …
- 15
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How to understand continuity equation intuitively as Lorenz covariant?
As we know, it is natural that we derive the differential form of continuity equation
$${\frac {\partial \rho }{\partial t}}+\nabla \cdot \mathbf {j} =0$$
from the integral form, in the view of absolu …
- 15
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How to understand continuity equation intuitively as Lorenz covariant?
I think I have some thoughts on my question after thinking for a while. Still waiting for other illuminating discussions.
We cannot simply consider continuity equation as a general incompressible flow …
- 15