2025

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Browsing 2025 by Author "Noureen Anwar"

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    Numerical solution of fractal fractional MHD Casson nano-fluid between two walls with finite difference method
    (UMT Lahore, 2025-07-16) Noureen Anwar
    The research identically analyses that the unsteady magnetohydrodynamic (mhd) flow of a casson nanofluid between two parallel plates can be accurately modelled by means of the fractal fractional caputo derivative, which allows to incorporate memories and hereditary effects that are common in non-newtonian and nano-scale fluid systems. In the present work, a mathematical model is proposed where joule heating, viscous dissipation and diffusive nanoparticles are accounted. The governing nonlinear partial differential equations are simplified using similarity transformations and solved numerically in dimensionless form using the finite difference method. The results show that an increase in the magnetic field acts to suppress the velocity profile in the presence of lorentz force, while eckert number increases the thermal field as a result of increased viscous dissipation. In addition, the temperature profile is affected by heat generation and fluctuations in thermal conductivity. A decrease of the mass diffusivity leads to a decrease in the concentration of nanoparticles. The fractional order is important for control of time-dependent behavior of the system and allows modelling of the transient processes with greater realism and flexibility. This research follows the trend of the application of fractal fractional derivatives for the complex mhd nanofluid flows modeling with a high significance of nonlocal and memory effects. The discussed approach increases the capability of simulating physical systems, which are in the real world coupled ones, with the thermal and fluid transport mechanisms affected by electromagnetic fields. The results of this research could be used to develop and optimize advanced thermal control systems, such as microfluidic cooling devices, biomedical flow systems and industrial heat exchangers where accurate reconstruction of heat and mass transfer is important.