Transport Phenomena _Lecture 7_R. Ravi

Lecture 7: Cauchy’s equation of motion
1. Statement of Cauchy’s theorem.
2. Two conventions for defining the components of the stress tensor; dot product of a vector with a second order tensor.
3. Significance of Cauchy’s stress theorem
4. Use of generalized divergence theorem to obtain Cauchy’s equation of motion; definition of the divergence of a second order tensor
5. Towards a control volume momentum balance: formula for substantial derivative of a vector.

Reference: R. Aris, Vectors, tensors and the equations of Fluid Mechanics

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