Browsing by Author "Ullah, Zia"

Now showing 1 - 2 of 2

Citation - WoS: 16
Citation - Scopus: 20
Analysis of the Physical Behavior of the Periodic Mixed-Convection Flow around a Nonconducting Horizontal Circular Cylinder Embedded in a Porous Medium
(Hindawi Ltd, 2021) Ashraf, Muhammad; Baleanu, Dumitru; Ullah, Zia; Zia, Saqib; Alharbi, Sayer O.; Baleanu, Dumitru; Khan, Ilyas; 56389; Matematik
An oscillatory mixed-convection fluid flow mechanism across a nonconducting horizontal circular cylinder embedded in a porous medium has been computed. For this purpose, a model in the form of partial differential equations is formulated, and then, the governing equations of the dimensionless model are transformed into the primitive form for integration by using primitive variable formulation. The impact of emerging parameters such as porous medium parameter Omega, Richardson number lambda, magnetic force parameter xi, and Prandtl number Pr on skin friction, heat transfer, and current density is interpreted graphically. It is demonstrated that accurate numerical results can be obtained by the present method by treating nonoscillating and oscillating parts of coupled partial differential equations simultaneously. In this study, it is well established that the transient convective heat transfer, skin friction, and current density depend on amplitude and phase angle. One of the objects of the present study is to predict the mechanism of heat and fluid flow around different angles of a nonconducting horizontal circular cylinder embedded in a porous medium.
Citation - WoS: 6
Citation - Scopus: 9
Computation of semi-analytical solutions of fuzzy nonlinear integral equations
(Springer, 2020) Ullah, Zia; Baleanu, Dumitru; Ullah, Aman; Shah, Kamal; Baleanu, Dumitru; 56389; Matematik
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A hybrid method of Laplace transform coupled with Adomian decomposition method is used to find the solution of the fuzzy nonlinear integral equations including fuzzy nonlinear Fredholm integral equation, fuzzy nonlinear Volterra integral equation, and fuzzy nonlinear singular integral equation of Abel type kernel. We also provide some suitable examples to better understand the proposed method.