Ilyas Khan

Impact of Rectified Sine Pulses on the Motion of Fractionalized MHD Oldroyd-B Fluid with Second Order Slip

Ilyas Khan, Afaque Ahmed Bhutto, J. Alzahrani, Israr Ahmed et autres

Precise prediction of viscoelastic fluid behavior under oscillatory forcing is serious in polymer dispensation, porous media transport, and biomedical systems. This study investigates the influence of first- and second-order slip conditions on the magnetohydrodynamic (MHD) flow of a fractionalized Oldroyd-B fluid over …

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Generalized Reduced Gröbner Basis and Initial Ideal of Binomial Edge Ideal of Different Classes of Graphs

Ali Raza Shafiq, Sidra Bashir, Ilyas Khan

In this paper, we study the binomial edge ideals associated with three specific classes of graphs: the comb graph, the cross-ladder graph, and the -sunlet graph. These graph structures offer a rich interplay between combinatorics and algebra, particularly in the context of …

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Numerical Simulation of Cutting Transport in a Drilling Operation by using TVD RKDG scheme with WENO Limiters

Ilyas Khan, Asad Rehman, Shahid Mehmood, Saqib Zia et autres

In this article, we present a numerical investigation of two-phase flow involving liquid and solid particles (cuttings) during drilling operations in wellbores. The dynamics of this complex system are simulated using a high-resolution second-order Total Variation Diminishing (TVD) Runge-Kutta Discontinuous Galerkin (RKDG) …

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Helical Estimation of Atangana-Baleanu-Caputo Fractionalized Magnetohydrodynamic Second Grade Fluid for Generalized Boundary Conditions under Porous Environment

Muhammad Zafarullah, Ilyas Khan, Muhammad Jamil, A. B. Albidah et autres

In the current work, we estimate the flow of helices of the unsteady fractionalized second grade fluid with MHD effect between uniaxial annular cylinders. The analytical outcomes are evaluated for the rotational and longitudinal velocity and the shear stress because of fluid …

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Novel Bright Soliton and Kink Wave Solutions for a Nonlinear Evolution Equation

Najla A. Mohammed, Naveed Shahid, Tahira Sumbal Shaikh, Nauman Ahmed et autres

This article focuses on the generalized improved Boussinesq (GIBE) equation. The GIBE equation is used to model nonlinear phenomena in various physical contexts such as shallow water waves and quantum fluid dynamics. The new extended direct algebraic method (NEDAM) is employed to …

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Prandtl ternary nanofluid flow with MHD, Porosity, and thermal effects over a 3D stretching surface with convective boundary conditions

Muhammad Ehsan Ullah, Syed Tauseef Saeed, Najla A. Mohammed, Muhammad Idress et autres

This comprehensive numerical study of three-dimensional Prandtl ternary ferrofluid flow over a stretching surface considers the combined effects of Darcy–Forchheimer drag, activation energy, thermal radiation, Brownian motion, thermophoresis, heat generation/absorption, porous media, mass diffusivity, and magnetohydrodynamics (MHD). Ferrofluid is created by dispersing …

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Significance of thermal radiation in transformer oil hybrid nanofluid containing MXene-graphene-nanoparticles over a riga plate

Madeha Gohar, Farhad Ali, A. B. Albidah, Nadeem Ahmad Sheikh et autres

Artificial neural network-assisted modeling of thermal performance in hybrid nanofluid-integrated solar water pumps

Umar Farooq, Shan Ali Khan, Walid Aich, Wajdi Rajhi et autres

In recent years, artificial intelligence techniques, particularly artificial neural networks (ANN), have emerged as powerful tools for accurately modeling nonlinear systems, accelerating computational analysis, and optimizing energy-related processes. This study presents an ANN-based computational framework for the thermal performance optimization of hybrid …

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A novel framework for graph-based interpolative contractions with applications to integral equations

Muhammad Saeed, Fahim Ud Din, Ilyas Khan, Haroon Ahmad

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Thermal radiation effect on SiO2–MoS2/Water hybrid nanofluids with Darcy–Forchheimer flow with Cattaneo–Christov heat flux over a permeable surface

Abdullah Alhushaybari, Umar Farooq, Muhammad Imran, Shan Ali Khan et autres

This research offersa computational and numerical analysis of SiO 2 /water nanofluid and SiO 2 –MoS 2 /water hybrid nanofluid under Darcy–Forchheimer flow conditions across a permeable surface. The model incorporates the consequences of the Cattaneo–Christovthermal radiation, heat flux model, viscous dissipation, …

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Radiation effects on gyrotactic microbes in tetra hybrid nanofluid: Enhancing mass and heat transfer processes in microfluidic and bio-convective systems

Mouloud Aoudia, Munawar Abbas, Faiza Benabdallah, Ibtehal Alazman et autres

The goal of this study is to look at how Stephan blowing and radiation influences the Marangoni convective flow of a tetra hybrid nanofluid across a heated disk containing gyrotactic microorganisms. The model can be used to increase the effectiveness of biosensing …

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Comparative fractional analysis of Maxwell fluid flow with thermal source, chemical reaction, and second-order slip effects

Yasir Hussain, Muhammad Jamil, Ilyas Khan

This research article provides a comparative investigation of incompressible and unsteady fractionalized Maxwell fluid system for the analysis of heat and mass transfer coefficients. Prominent non-integer differential operators like Caputo, Caputo Fabrizio and Atangana Baleanu are utilized for comparison. The impact of …