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\begin{equation}\label{MM3} \rho\frac{\partial \mathbf{U}}{\partial t}+\rho\nabla \cdot (\mathbf{U} \otimes\mathbf{U})=-\nabla p+\nabla \cdot(\mu \nabla \mathbf{U})+\left(\rho_\rref\left(1-\beta\left(T-T_\rref\right)\right)\right)\bfg \end{equation}