Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Khan, IlyasWoS Q: search.filters.wosQuartile.Q1

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Now showing 1 - 7 of 7
  • Article
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Analysis of Positive Measure Reducibility for Quasi-Periodic Linear Systems Under Brjuno-Russmann Condition
    (Amer inst Mathematical Sciences-aims, 2022) Ismaeel, Tariq; Ahmad, Riaz; Khan, Ilyas; Baleanu, Dumitru; Afzal, Muhammad
    In this article, we discuss the positive measure reducibility for quasi-periodic linear systems close to a constant which is defined as: dx/dt = (A(lambda) + Q(phi, lambda))x, (phi) over dot = omega, where omega is a Brjuno vector and parameter lambda is an element of (a, b). The result is proved by using the KAM method, Brjuno-Russmann condition, and non-degeneracy condition.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 14
    Finite Element Least Square Technique for Newtonian Fluid Flow Through a Semicircular Cylinder of Recirculating Region Via Comsol Multiphysics
    (Hindawi Ltd, 2020) Memon, Abid A.; Memon, M. Asif; Bhatti, Kaleemullah; Shaikh, Gul M.; Baleanu, Dumitru; Alhussain, Ziyad A.; Khan, Ilyas
    This article aims to study Newtonian fluid flow modeling and simulation through a rectangular channel embedded in a semicircular cylinder with the range of Reynolds number from 100 to 1500. The fluid is considered as laminar and Newtonian, and the problem is time independent. A numerical procedure of finite element's least Square technique is implemented through COMSOL multiphysics 5.4. The problem is validated through asymptotic solution governed through the screen boundary condition. The vortex length of the recirculating region formed at the back of the cylinder and orientation of velocity field and pressure will be discussed by three horizontal and four vertical lines along the recirculating region in terms of Reynolds number. It was found that the two vortices of unequal size have appeared and the lengths of these vortices are increased with the increase Reynolds number. Also, the empirical equations through the linear regression procedure were determined for those vortices. The orientation of the velocity magnitude as well as pressure along the lines passing through the center of upper and lower vortices are the same.
  • Article
    Citation - WoS: 52
    Citation - Scopus: 60
    Dual Similarity Solutions of Mhd Stagnation Point Flow of Casson Fluid With Effect of Thermal Radiation and Viscous Dissipation: Stability Analysis
    (Nature Portfolio, 2020) Omar, Zurni; Khan, Ilyas; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Lund, Liaquat Ali
    In this paper, the rate of heat transfer of the steady MHD stagnation point flow of Casson fluid on the shrinking/stretching surface has been investigated with the effect of thermal radiation and viscous dissipation. The governing partial differential equations are first transformed into the ordinary (similarity) differential equations. The obtained system of equations is converted from boundary value problems (BVPs) to initial value problems (IVPs) with the help of the shooting method which then solved by the RK method with help of maple software. Furthermore, the three-stage Labatto III-A method is applied to perform stability analysis with the help of a bvp4c solver in MATLAB. Current outcomes contradict numerically with published results and found inastounding agreements. The results reveal that there exist dual solutions in both shrinking and stretching surfaces. Furthermore, the temperature increases when thermal radiation, Eckert number, and magnetic number are increased. Signs of the smallest eigenvalue reveal that only the first solution is stable and can be realizable physically.
  • Article
    Citation - WoS: 19
    Citation - Scopus: 22
    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) Ullah, Zia; Zia, Saqib; Alharbi, Sayer O.; Baleanu, Dumitru; Khan, Ilyas; Ashraf, Muhammad
    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.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 10
    Insights Into the Stability of Mixed Convective Darcy-Forchheimer Flows of Cross Liquids From a Vertical Plate With Consideration of the Significant Impact of Velocity and Thermal Slip Conditions
    (Mdpi, 2020) Zaib, Aurang; Khan, Ilyas; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; Khan, Umair
    This paper reflects the effects of velocity and thermal slip conditions on the stagnation-point mixed convective flow of Cross liquid moving over a vertical plate entrenched in a Darcy-Forchheimer porous medium. A Cross liquid is a type of non-Newtonian liquid whose viscosity depends on the shear rate. The leading partial differential equations (PDEs) are altered to nonlinear ordinary differential equations (ODEs) via feasible similarity transformations. These transmuted equations are computed numerically through the bvp4c solver. The authority of sundry parameters on the temperature and velocity distributions is examined graphically. In addition, the characteristics of heat transfer are analyzed in the presence of the impact of drag forces. The outcomes reveal that the permeability parameter decelerates the drag forces and declines the rate of heat transfer in both forms of solutions. Moreover, it is found that the drag forces decline with the growing value of the Weissenberg parameter in the upper branch solutions, while a reverse trend is revealed in the lower branch solutions. However, the rate of heat transfer shows a diminishing behavior with an increasing value of the Weissenberg parameter.
  • Article
    Citation - WoS: 39
    Citation - Scopus: 38
    Comparative Investigation on Mhd Nonlinear Radiative Flow Through a Moving Thin Needle Comprising Two Hybridized Aa7075 and Aa7072 Alloys Nanomaterials Through Binary Chemical Reaction With Activation Energy
    (Elsevier, 2020) Zaib, A.; Khan, Ilyas; Baleanu, Dumitru; Sherif, El-Sayed M.; Khan, Umair
    The intention of the current study is analyzing the significance of nonlinear radiation on magnetic field involving hybrid AA7075 and AA7072 alloys nanomaterials through thin needle. The scenario has been modeled mathematically by captivating the binary chemical reaction and activation energy. Similarity variables are deployed to change the system of PDE's into nonlinear ODE's and subsequently solved these equations through bvp4c solver. Influence of distinct material parameters on the velocity, concentration and temperature along with the correlated engineering features quantities such as drag force, heat and mass transfer rate are obtained and demonstrated via plots. The velocity of the liquid is declining function of magnetic field, while the temperature augments. In addition, obtained numerical results are contrasted through the available literature and appeared to be in admirable harmony. The current investigation shows the important features in solar hybrid alloy nano materials systems and aircraft technology. (C) 2020 The Authors. Published by Elsevier B.V.