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Express the shear stress tensor(τ) of a three-dimensional fluid flow element in terms of the velocity vector(v).(a) \(\tau=\mu\left\{(\nabla \vec{v})^T\right\}+\lambda(\nabla.\vec{v})I\)(b) \(\tau=\mu\left\{(\nabla \vec{v})\right\}+\lambda(\nabla.\vec{v})I\)(c) \(\tau=\mu\left\{(\nabla \vec{v})^T+(\nabla.\vec{v})^T\right\}\)(d) \(\tau=\mu\left\{(\nabla \vec{v})^T+(\nabla.\vec{v})^T\right\}+\lambda(\nabla.\vec{v})I\)This question was addressed to me during an online interview.My question is based upon Governing Equations in division Governing Equations of Fluid Dynamics of Computational Fluid Dynamics |
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Answer» The correct ANSWER is (d) \(\tau=\mu\left\{(\nabla \vec{v})^T+(\nabla.\vec{v})^T\right\}+\lambda(\nabla.\vec{v})I\) |
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