The numerical model consists in a two-dimensional square cavity with side equal to H which represents the characteristic dimension of the problem (Fig. 6.39A) [14]. The heat source is centrally located on the bottom surface and its length 1 varied from 2/5 to 4/5 of H; the ratio 1/H is called ɛ. The cooling is achieved by the two vertical walls. The heat source has a temperature T_{h}, while the cooling walls have a temperature T_{c}; all the other surfaces are adiabatic (Th > T_{c}). Also, it is also assumed that the uniform magnetic field ($\overrightarrow{B}={B}_{x}\overrightarrow{{e}_{x}}+{B}_{y}\overrightarrow{{e}_{y}}$) of constant magnitude $B=\sqrt{{B}_{x}^{2}+{B}_{y}^{2}}$ is applied, where $\overrightarrow{{e}_{x}}$ and $\overrightarrow{{e}_{y}}$ are unit ...

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