Browsing by Author "Alzahrani, Abdullah K."

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An efficient numerical technique for a new fractional tuberculosis model with nonsingular derivative operator
(Taylor&Francis LTD, 2019) Baleanu, Dumitru; Alzahrani, Abdullah K.; Baleanu, Dumitru; 56389
The present study aims to investigate a new fractional model describing the dynamical behaviour of the tuberculosis infection. In this new formulation, we use a recently introduced fractional operator with Mittag-Leffler nonsingular kernel. To solve and simulate the proposed model, a new and efficient numerical method is developed based on the product-integration rule. Simulation results are provided and some discussions are given to verify the theoretical analysis. The results indicate that employing the nonsingular operator can extract the hidden aspects of the model under consideration while these features are invisible when we use the ordinary time-derivatives. Therefore, the non-integer calculus supplies more flexible models describing the asymptotic behaviours of the real-world phenomena and helps us to better understand their complex dynamics.
THE UNSTEADY LIQUID FILM FLOW OF THE CARBON NANOTUBES ENGINE OIL NANOFLUID OVER A NON-LINEAR RADIALLY EXTENDING SURFACE
(2020) Baleanu, Dumitru; Ullah, Malik Z.; Gul, Taza; Baleanu, Dumitru; 56389
The enhancement of heat transfer through carbon material is the objective of this study. The renowned class of carbon identified as single walled carbon nanotubes and multi walled carbon nanotubes, nanofluid flow over a non-linear and unstable surface has been explored. The thermophysical properties of the two sorts of carbon nanotube have been implemented from the experimental outputs in the existent literature using engine oil as a base fluid. The viscous dissipation term has also been included in the energy equation improve the heat transfer rate. The thickness of the nanofluid thin layer is kept variable under the influence of the unstable and non-linear stretching of the disk. The elementary governing equations have been transformed into coupled non-linear differential equations. The problem solution is achieved through BVP 2.0 package qf the optimal homotopy analysis method. The square residual error for the momentum and thermal boundary-layers up to the 20th order approximations have been obtained. The numerical ND-solve method has been used to validate the he optimal homotopy analysis method results. The impact of the model parameters vs. velocity, eld and temperature distribution have been shown through graphs and tables. The impact qf the plrysical parameters on the temperature profile and velocity, pitch for both multi wall carbon nanotubes and single walled carbon nanotubes is gained in the range of 0 <= phi <= 4%. From the obtained results it is observed that the single walled carbon nanotubes nanofkrids are more efficient to improve the heat transfer phenomena as compared to the multi wall carbon nanotubes.