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This book presents the Generalized Differential Quadrature and Chebyshev-Gauss-Lobatto Spectral Methods on the generalized Buongiorno's mathematical nanofluid model with the simplified Maxwell's equations and the Oberbeck-Boussinesq approximation. The significance of an externally applied magnetic field and an imposed negative temperature gradient on the onset of natural convection in a thin horizontal layer of alumina-water nanofluids for various sizes of spherical alumina nanoparticles and volumetric fractions are explored numerically in this book. Based on the linear stability theory, the...