Browsing by Author "Muhammad, Taseer"

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Citation - WoS: 4
Citation - Scopus: 4
Magnetic Field Effect on Heat and Momentum of Fractional Maxwell Nanofluid within a Channel by Power Law Kernel Using Finite Difference Method
(Wiley-hindawi, 2022) Lashin, Maha M. A.; Jarad, Fahd; Usman, Muhammad; Asjad, Muhammad Imran; Ali, Arfan; Jarad, Fahd; Muhammad, Taseer; 234808
The mathematical model of physical problems interprets physical phenomena closely. This research work is focused on numerical solution of a nonlinear mathematical model of fractional Maxwell nanofluid with the finite difference element method. Addition of nanoparticles in base fluids such as water, sodium alginate, kerosene oil, and engine oil is observed, and velocity profile and heat transfer energy profile of solutions are investigated. The finite difference method involving the discretization of time and distance parameters is applied for numerical results by using the Caputo time fractional operator. These results are plotted against different physical parameters under the effects of magnetic field. These results depicts that a slight decrease occurs for velocity for a high value of Reynolds number, while a small value of Re provides more dominant effects on velocity and temperature profile. It is observed that fractional parameters alpha and beta show inverse behavior against u(y,t) and theta(y,t). An increase in volumetric fraction of nanoparticles in base fluids decreases the temperature profile of fractional Maxwell nanofluids. Using mathematical software of MAPLE, codes are developed and executed to obtain these results.
Citation - WoS: 30
Citation - Scopus: 31
On soliton solutions of fractional-order nonlinear model appears in physical sciences
(Amer inst Mathematical Sciences-aims, 2022) Ullah, Naeem; Baleanu, Dumitru; Asjad, Muhammad Imran; Awrejcewicz, Jan; Muhammad, Taseer; Baleanu, Dumitru; 56389
In wave theory, the higher dimensional non-linear models are very important to define the physical phenomena of waves. Herein study we have built the various solitons solutions of (4+1) dimensional fractional-order Fokas equation by using two analytical techniques that is, the Sardarsubequation method and new extended hyperbolic function method. Different types of novel solitons are attained such as, singular soliton, bright soliton, dark soliton, and periodic soliton. To understand the physical behavior, we have plotted 2D and 3D graphs of some selected solutions. From results we concluded that the proposed methods are straightforward, simple, and efficient. Moreover, this paper offers a hint, how we can convert the fractional-order PDE into an ODE to acquire the exact solutions. Also, the proposed methods and results can be help to examine the advance fractional-order models which seem in optics, hydrodynamics, plasma and wave theory etc.
Citation - WoS: 2
Citation - Scopus: 3
The investigation of energy management and atomic interaction between coronavirus structure in the vicinity of aqueous environment of H2O molecules via molecular dynamics approach
(Elsevier, 2021) Guo, Hui-Hui; Baleanu, Dumitru; Bajuri, Mohd Yazid; Alrabaiah, Hussam; Muhammad, Taseer; Sajadi, S. Mohammad; Ghaemi, Ferial; Karimipour, Arash; 56389
The coronavirus pandemic is caused by intense acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Identifying the atomic structure of this virus can lead to the treatment of related diseases in medical cases. In the current computational study, the atomic evolution of the coronavirus in an aqueous environment using the Molecular Dynamics (MD) approach is explained. The virus behaviors by reporting the physical attributes such as total energy, temperature, potential energy, interaction energy, volume, entropy, and radius of gyration of the modeled virus are reported. The MD results indicated the atomic stability of the simulated virus significantly reduced after 25.33 ns. Furthermore, the volume of simulated virus changes from 182397 angstrom(3) to 372589 angstrom(3) after t = 30 ns. This result shows the atomic interaction between various atoms in coronavirus structure decreases in the vicinity of H2O molecules. Numerically, the interaction energy between virus and aqueous environment converges to -12387 eV and -251 eV values in the initial and final time steps of the MD study procedure, respectively. (C) 2021 Elsevier B.V. All rights reserved.
Citation - WoS: 4
Citation - Scopus: 4
Thermal Transport With Nanoparticles of Fractional Oldroyd-B Fluid Under the Effects of Magnetic Field, Radiations, and Viscous Dissipation: Entropy Generation; Via Finite Difference Method
(de Gruyter Poland Sp Z O O, 2022) Baleanu, Dumitru; Usman, Muhammad; Kaleem, Muhammad Madssar; Baleanu, Dumitru; Muhammad, Taseer
It is a well-known fact that functional effects like relaxation and retardation of materials, and heat transfer phenomena occur in a wide range of industrial and engineering problems. In this context, a mathematical model is developed in the view of Caputo fractional derivative for Oldroyd-B nano-fluid. Nano-sized particles of copper (Cu) are used to prepare nano-fluid taking water as the base fluid. The coupled non-linear governing equations of the problem are transformed into dimensionless form. Finite difference scheme is developed and applied successfully to get the numerical solutions of deliberated problem. Influence of different physical parameters on fluid velocity profile and temperature profile are analyzed briefly. It is observed that for increasing values of fractional parameter (alpha), fluid velocity increased, but opposite behavior was noticed for temperature profile. Nusselt number (Nu) decayed for advancement in values of heat source/sink parameter (Q(0)), radiation parameter (Nr), volume fraction parameter of nano-fluid (phi), and viscous dissipation parameter (Ec). Skin friction (C-f) boosts for the increase in the values of magnetic field parameter (Ha). It can also be noticed that the extended finite difference scheme is an efficient tool and gives the accurate results of discussed problem. It can be extended for more numerous type heat transfer problems arising in physical nature with complex geometry.