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Update roshan2024.md
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roshan2024.md

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@@ -14,7 +14,7 @@ convection. It consists of a thin layer of fluid confined between a pair of para
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cooler than the bottom plate, and when this temperature difference is sufficiently high, a convective flow arises.This phenomenon can be simulated numerically by solving the incompressible Navier-Stokes equations under the
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Boussinesq approximation:
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$$\frac{\partial \mathbf{u}^*}{\partial t^*} + \mathbf{u}^* \cdot \nabla \mathbf{u}^* = -\frac{1}{\rho_0} \nabla p^* + \nu \nabla^2 \mathbf{u}^* + \alpha g T^* \hat{\mathbf{z}}$$
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$\frac{\partial \mathbf{u}^*}{\partial t^*} + \mathbf{u}^* \cdot \nabla \mathbf{u}^* = -\frac{1}{\rho_0} \nabla p^* + \nu \nabla^2 \mathbf{u}^* + \alpha g T^* \hat{\mathbf{z}}$
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$$\frac{\partial T^*}{\partial t^*} + \mathbf{u}^* \cdot \nabla T^* = \kappa \nabla^2 T^* $$
2020

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