Browsing by Author "Aly, Shaban"

Now showing 1 - 6 of 6

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: Liu, Haobin...et al. (2020). "On the Fractional View Analysis of Keller-Segel Equations with Sensitivity Functions", Complexity, Vol. 2020.
On the Fractional View Analysis of Keller-Segel Equations with Sensitivity Functions
(2020) Liu, Haobin; Khan, Hassan; Shah, Rasool; Alderremy, A. A.; Aly, Shaban; Baleanu, Dumitru; 56389
In this paper, the fractional view analysis of the Keller-Segal equations with sensitivity functions is presented. The Caputo operator has been used to pursue the present research work. The natural transform is combined with the homotopy perturbation method, and a new scheme for implementation is derived. The modified established method is named as the homotopy perturbation transform technique. The derived results are compared with the solution of the Laplace Adomian decomposition technique by using the systems of fractional Keller-Segal equations. The solution graphs and the table have shown that the obtained results coincide with the solution of the Laplace Adomian decomposition method. Fractional-order solutions are determined to confirm the reliability of the current method. It is observed that the solutions at various fractional orders are convergent to an integer-order solution of the problems. The suggested procedure is very attractive and straight forward and therefore can be modified to solve high nonlinear fractional partial differential equations and their systems.
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.
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.
Citation Count: Alderremy, A. A...et al. (2020). "The Analytical Analysis of Time-Fractional Fornberg-Whitham Equations", Mathematics, Vol. 8, No. 6.
The Analytical Analysis of Time-Fractional Fornberg-Whitham Equations
(2020) Alderremy, A. A.; Khan, Hassan; Shah, Rasool; Aly, Shaban; Baleanu, Dumitru; 56389
This article is dealing with the analytical solution of Fornberg-Whitham equations in fractional view of Caputo operator. The effective method among the analytical techniques, natural transform decomposition method, is implemented to handle the solutions of the proposed problems. The approximate analytical solutions of nonlinear numerical problems are determined to confirm the validity of the suggested technique. The solution of the fractional-order problems are investigated for the suggested mathematical models. The solutions-graphs are then plotted to understand the effectiveness of fractional-order mathematical modeling over integer-order modeling. It is observed that the derived solutions have a closed resemblance with the actual solutions. Moreover, using fractional-order modeling various dynamics can be analyzed which can provide sophisticated information about physical phenomena. The simple and straight-forward procedure of the suggested technique is the preferable point and thus can be used to solve other nonlinear fractional problems.