Scopus İndeksli Yayınlar Koleksiyonu

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

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Access Right: Closed AccessAuthor: search.filters.author.Riaz, Muhammad Bilal

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  • Article
    Citation - Scopus: 18
    Role of Magnetic Field on the Dynamical Analysis of Second Grade Fluid: An Optimal Solution Subject to Non-Integer Differentiable Operators
    (Shahid Chamran University of Ahvaz, 2021) Baleanu, Dumitru; Riaz, Muhammad Bilal; Saeed, Syed Tauseef
  • Article
    Citation - Scopus: 22
    Heat and Mass Transfer of Natural Convective Flow with Slanted Magnetic Field via Fractional Operators
    (Shahid Chamran University of Ahvaz, 2021) Baleanu, Dumitru; Iftikha, Nazishr; Riaz, Muhammad Bilal; Husnine, Syed Muhammad
  • Article
    Citation - WoS: 30
    Citation - Scopus: 31
    Heat and Mass Transport Impact on MHD Second-Grade Fluid: A Comparative Analysis of Fractional Operators
    (Wiley, 2021) Rehman, Aziz Ur; Riaz, Muhammad Bilal; Akgul, Ali; Saeed, Syed Tauseef; Baleanu, Dumitru
    The effect of the magnetic flux plays a major role in convective flow. The process of heat transfer is accompanied by a mass transfer process; for instance, condensation, evaporation, and chemical process. Due to the applications of the heat and mass transfer combined effects in different fields, the main aim of this paper is to do a comprehensive analysis of heat and mass transfer of magnetohydrodynamic (MHD) unsteady second-grade fluid in the presence of ramped conditions. The new governing equations of MHD second-grade fluid have been fractionalized by means of singular and nonsingular differentiable operators. To have an accurate physical significance of imposed conditions on the geometry of second-grade fluid, the constant concentration with ramped temperature and ramped velocity is considered. The fractional solutions of temperature, concentration, and velocity have been investigated by means of integral transform and inversion algorithm. The influence of physical parameters and flow is analyzed graphically via computational software (MATHCAD-15). The velocity profile decreases by increasing the Prandtl number. The existence of a Prandtl number may reflect the control of the thickness and enlargement of the thermal effect.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 9
    Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative
    (Asme, 2022) Jhangeer, Adil; Awrejcewicz, Jan; Baleanu, Dumitru; Tahir, Sana; Riaz, Muhammad Bilal
    This study is dedicated to the computation and analysis of solitonic structures of a nonlinear Sasa-Satsuma equation that comes in handy to understand the propagation of short light pulses in the monomode fiber optics with the aid of beta derivative and truncated M-fractional derivative. We employ a new direct algebraic technique for the nonlinear Sasa-Satsuma equation to derive novel soliton solutions. A variety of soliton solutions are retrieved in trigonometric, hyperbolic, exponential, rational forms. The vast majority of obtained solutions represent the lead of this method on other techniques. The prime advantage of the considered technique over the other techniques is that it provides more diverse solutions with some free parameters. Moreover, the fractional behavior of the obtained solutions is analyzed thoroughly by using two and three-dimensional graphs. This shows that for lower fractional orders, i.e., beta = 0.1, the magnitude of truncated Mfractional derivative is greater whereas for increasing fractional orders, i.e., beta = 0.7 and beta = 0.99, the magnitude remains the same for both definitions except for a phase shift in some spatial domain that eventually vanishes and two curves coincide.
  • Article
    Citation - WoS: 19
    Citation - Scopus: 18
    Role of Magnetic Field on the Dynamical Analysis of Second Grade Fluid: an Optimal Solution Subject To Non-Integer Differentiable Operators
    (Shahid Chamran Univ Ahvaz, Iran, 2021) Saeed, Syed Tauseef; Baleanu, Dumitru; Riaz, Muhammad Bilal
    The dynamical analysis of MHD second grade fluid based on their physical properties has stronger resistance capabilities, low-frequency responses, lower energy consumption, and higher sensitivities; due to these facts externally applied magnetic field always takes the forms of diamagnetic, ferromagnetic and paramagnetic. The mathematical modeling based on the fractional treatment of governing equation subject to the temperature distribution, concentration, and velocity field is developed within a porous surfaced plate. Fractional differential operators with and without non-locality have been employed on the developed governing partial differential equations. The mathematical analysis of developed fractionalized governing partial differential equations has been established by means of systematic and powerful techniques of Laplace transform with its inversion. The fractionalized analytical solutions have been traced out separately through Atangana-Baleanu and Caputo-Fabrizio fractional differential operators. Our results suggest that the velocity profile decrease by increasing the value of the Prandtl number. The existence of a Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal conductivity.
  • Article
    Citation - WoS: 99
    Citation - Scopus: 101
    Quasi-Periodic, Chaotic and Travelling Wave Structures of Modified Gardner Equation
    (Pergamon-elsevier Science Ltd, 2021) Hussain, Amjad; Junaid-U-Rehman, M.; Baleanu, Dumitru; Riaz, Muhammad Bilal; Jhangeer, Adil
    In this paper, the nonlinear modified Gardner (mG) equation is under consideration which represents the super nonlinear proliferation of the ion-acoustic waves and quantum electron-positronion magneto plasmas. The considered model is investigated with the help of Lie group analysis. Lie point symmetries are computed under the invariance criteria of Lie groups and symmetry group for each generator is reported. Furthermore, the one-dimensional optimal system of subalgebras is developed by adjoint technique and then we compute the similarity reductions corresponding to each vector field present in the optimal system, with the help of similarity reduction method we have to convert the PDE into the ODE. Some exact explicit solutions of obtained ordinary differential equations were constructed by the power series technique. With the aid of the Galilean transformation, the model is transformed into a planer dynamical system and the bifurcation behaviour is recorded. All practicable types of phase portraits with regard to the parameters of the problem considered are plotted. Meantime, sensitivity is observed by utilizing sensitivity analysis. In addition, the influence of physical parameters is studied by the application of an extrinsic periodic power. With additional perturbed term, quasi-periodic and quasi-periodic-chaotic behaviours is reported. (c) 2021 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 17
    Citation - Scopus: 22
    Heat and Mass Transfer of Natural Convective Flow With Slanted Magnetic Field Via Fractional Operators
    (Shahid Chamran Univ Ahvaz, Iran, 2021) Husnine, Syed Muhammad; Baleanu, Dumitru; Riaz, Muhammad Bilal; Iftikhar, Nazish; Iftikha, Nazishr
    This article explores the MHD natural convective viscous and incompressible fluid flow along with radiation and chemical reaction. The flow is confined to a moving tilted plate under slanted magnetic field with variable temperature in a porous medium. Non-dimensional parameter along Laplace transformation and inversion algorithm are used to investigate the solution of system of dimensionless governing equations. Fractional differential operators namely, Caputo (C), Caputo-Fabrizio (CF) and Atangana-Baleanu in Caputo sense (ABC) are used to compare graphical behavior of for velocity, temperature and concentration for emerging parameters. On comparison, it is observed that fractional order model is better in explaining the memory effect as compared to classical model. Velocity showing increasing behavior for fractional parameter a whereas there is a decline in temperature, and concentration profiles for alpha. Fluid velocity goes through a decay due to rise in the values of M, Sc and phi. However, velocity shows a reverse profile for augmented inputs of K-p, G(r) and S. Tabular comparison is made for velocity and Nusselt number and Sherwood number for fractional models.