Browsing by Author "Alderremy, A.A."

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Citation Count: He, Xinlin;...et.al. (2022). "Numerical study of heat transfer in a microchannel equipped with the semicircular ribs influenced by slip condition: effects of various slip coefficient and Hartmann number", European Physical Journal Plus, Vol.137, No.7.
Numerical study of heat transfer in a microchannel equipped with the semicircular ribs influenced by slip condition: effects of various slip coefficient and Hartmann number
(2022) He, Xinlin; Alderremy, A.A.; Aly, Shaban; Tlili, Iskander; Ghaemi, Ferial; Baleanu, Dumitru; 56389
In the present work, a microchannel that benefits from the simultaneous effect of slip condition and semicircular ribs was studied to boost heat transfer. A numerical method was utilized to examine the thermal and hydraulic behavior. The results reveal that the velocity is not zero since the slip condition exists in the microchannel. Furthermore, the velocity near the wall has a dramatic value when the slip length increases. Although the heat transfer is not remarkable by semicircular ribs, the magnetic field plays a vital role in boosting the heat transfer as a result of the declining thermal boundary layer. The effect of magnetic field on the heat transfer on the low Re number is not like the higher one which means as the Reynolds number (Re) varies from 10 to 90, the heat transfer goes up from 1.12 to 2.63. Furthermore, at Re = 90, a 255% enhancement is seen in the microchannel by affecting magnetic field at Hartmann number = 15. The results of slip condition claim that slip condition is introduced as the third most effective factor in rising and improving the efficiency of the microchannel. There is a 16.23% improvement in heat transfer by using slip condition in the microchannel. More importantly, the figure for heat transfer is enhanced by increasing the radius of ribs.
Citation Count: Khan, Hassan...at all (2021). "On the approximate solution of fractional-order Whitham-Broer-Kaup equations", Modern Physics Letters B, Vol. 35, No. 11.
On the approximate solution of fractional-order Whitham-Broer-Kaup equations
(2021) Khan, Hassan; Gómez-Aguilar, J.F.; Alderremy, A.A.; Aly, Shaban; Baleanu, Dumitru; 56389
In this paper, the Homotopy perturbation Laplace method is implemented to investigate the solution of fractional-order Whitham-Broer-Kaup equations. The derivative of fractional-order is described in Caputo's sense. To show the reliability of the suggested method, the solution of certain illustrative examples are presented. The results of the suggested method are shown and explained with the help of its graphical representation. The solutions of fractional-order problems as well as integer-order problems are determined by using the present technique. It has been observed that the obtained solutions are in significant agreement with the actual solutions to the targeted problems. Computationally, it has been analyzed that the solutions at different fractional-orders have a higher rate of convergence to the solution at integer-order of the derivative. Due to the analytical analysis of the problems, this study can further modify the solution of other fractional-order problems. © 2021 World Scientific Publishing Company.
Citation Count: Xu, Jiabin...et al. (2021). "The analytical analysis of nonlinear fractional-order dynamical models", AIMS Mathematics, Vol. 6, No. 6, pp. 6201-6219.
The analytical analysis of nonlinear fractional-order dynamical models
(2021) Xu, Jiabin; Khan, Hassan; Shah, Rasool; Alderremy, A.A.; Aly, Shaban; Baleanu, Dumitru; 56389
The present research paper is related to the analytical solution of fractional-order nonlinear Swift-Hohenberg equations using an efficient technique. The presented model is related to the temperature and thermal convection of fluid dynamics which can also be used to explain the formation process in liquid surfaces bounded along a horizontally well-conducting boundary. In this work Laplace Adomian decomposition method is implemented because it require small volume of calculations. Unlike the variational iteration method and Homotopy pertubation method, the suggested technique required no variational parameter and having simple calculation of fractional derivative respectively. Numerical examples verify the validity of the suggested method. It is confirmed that the present method’s solutions are in close contact with the solutions of other existing methods. It is also investigated through graphs and tables that the suggested method’s solutions are almost identical with different analytical methods.