The divergence of the stress tensor is _____(a) Scalar(b) Vector(c) 0(d) 1The question was asked in final exam.I'm obligated to ask this question of Governing Equations topic in section Governing Equations of Fluid Dynamics of Computational Fluid Dynamics

The divergence of the stress tensor is _____(a) Scalar(b) Vector(c) 0(

1.	The divergence of the stress tensor is _____(a) Scalar(b) Vector(c) 0(d) 1The question was asked in final exam.I'm obligated to ask this question of Governing Equations topic in section Governing Equations of Fluid Dynamics of Computational Fluid Dynamics
Answer» The CORRECT answer is (b) Vector To explain: Stress TENSOR is a square MATRIX given by Τxy = \(\begin{bmatrix} \tau_{XX} & \tau_{xy} & \tau_{xz} \\ \tau_{yx} & \tau_{yy} & \tau_{yz} \\ \tau_{zx} & \tau_{zy} & \tau_{zz} \end{bmatrix}\) The divergence of this will result in a vector ∇. Τ= \(\begin{bmatrix} \frac{\partial \tau_{xx}}{\partial x}+\frac{\partial \tau_{yx}}{\partial y}+\frac{\partial \tau_{zx}}{\partial Z} \\ \frac{\partial \tau_{xy}}{\partial x}+\frac{\partial \tau_{yy}}{\partial y}+\frac{\partial \tau_{zy}}{\partial z} \\\frac{\partial \tau_{xz}}{\partial x}+\frac{\partial \tau_{yz}}{\partial y}+\frac{\partial \tau_{zz}}{\partial z} \end{bmatrix}\)

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