Browsing by Author "Imran, Muhammad"

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Citation Count: Iqbal, Zafar...et al. (2023). "A finite difference scheme to solve a fractional order epidemic model of computer virus", Aims Mathematics, Vol.8, No. 1, pp.2337-2359.
A finite difference scheme to solve a fractional order epidemic model of computer virus
(2023) Iqbal, Zafar; Rehman, Muhammad Aziz-ur; Imran, Muhammad; Ahmed, Nauman; Fatima, Umbreen; Akgul, Ali; Rafiq, Muhammad; Raza, Ali; Djuraev, Ali Asrorovich; Jarad, Fahd
In this article, an analytical and numerical analysis of a computer virus epidemic model is presented. To more thoroughly examine the dynamics of the virus, the classical model is transformed into a fractional order model. The Caputo differential operator is applied to achieve this. The Jacobian approach is employed to investigate the model's stability. To investigate the model's numerical solution, a hybridized numerical scheme called the Grunwald Letnikov nonstandard finite difference (GL-NSFD) scheme is created. Some essential characteristics of the population model are scrutinized, including positivity boundedness and scheme stability. The aforementioned features are validated using test cases and computer simulations. The mathematical graphs are all detailed. It is also investigated how the fundamental reproduction number R0 functions in stability analysis and illness dynamics.
Citation Count: Farooq, Umar;...et.al. (2023). "Numerical framework of hybrid nanofluid over two horizontal parallel plates with non-linear thermal radiation", International Journal of Thermofluids, Vol.18.
Numerical framework of hybrid nanofluid over two horizontal parallel plates with non-linear thermal radiation
(2023) Farooq, Umar; Waqas, Hassan; Noreen, Sobia; Imran, Muhammad; Akgül, Ali; Baleanu, Dumitru; Din, Sayed M.El; Muhammad, Taseer; Galal, Ahmed M; 56389
Significance of study: High combustion temperatures necessitate appropriate cooling systems in the combustion process. Regenerative cooling is used in the majority of chambers in liquid propellant engines. The addition of nanoparticles to the cooling fluid is a novel technique to increase the efficiency of heat transfer in the regenerative cooling process. Aim of the study: In this investigation, we investigate the two-dimensional flow of the hybrid nanofluid with suction/injection effect over two horizontal parallel plates. The non-linear thermal radiation effect is measured in the model of a hybrid nanofluid. Here we use single-walled carbon nanotubes, multi-walled carbon nanotubes, nickel-zinc iron oxide, and manganese zinc iron oxide with base fluid engine oil. The effects of different shape factors (Sphere, Bricks, Cylinder, Platelets, Column, and Lamina)are also incorporated. Research methodology: Using appropriate similarity transformations, the controlling partial differential equations are transformed into ordinary differential equations. Using the shooting strategy, the transformed higher-order ordinary differential equations are converted to first-order ordinary differential equations, and the Bvp4c built-in function in MATLAB is used to produce the numerical and graphical results of the flow parameter. Conclusion: The velocity profile is decreased by the increasing values of the suction/injection parameter. The temperature distribution profile declined for the higher values of the temperature ratio parameter. The combination of nickel zinc iron oxide and carbon nanotube nanomaterials to engine oil as a cooling fluid enhanced the heat transfer coefficient. According to the findings, carbon nanotubes outperform nickel zinc iron oxide nanoparticles in terms of increasing heat transfer coefficient and improving regenerative cooling.
Citation Count: Alharbi, Khalid Abdulkhaliq M.;...et.al. (2023). "Numerical solution of Maxwell-Sutterby nanofluid flow inside a stretching sheet with thermal radiation, exponential heat source/sink, and bioconvection", International Journal of Thermofluids, Vol.18.
Numerical solution of Maxwell-Sutterby nanofluid flow inside a stretching sheet with thermal radiation, exponential heat source/sink, and bioconvection
(2023) Alharbi, Khalid Abdulkhaliq M.; Farooq, Umar; Waqas, Hassan; Imran, Muhammad; Noreen, Sobia; Akgül, Ali; Baleanu, Dumitru; Din, Sayed M.El; Abbas, Khizer; 56389
A Survey of literature illustrates that nano liquid is further helpful for heat transportation as compared to regular liquid. Nonetheless, there are considerable gaps in our understanding of existing approaches for enhancing heat transmission in nanofluids, necessitating comprehensive research of these fluids. The current approach proposes to investigate the influence of a Maxwell-Sutterby nanofluid on a sheet while accounting for heat radiation. This paper investigates activation energy, and exponential heat source/sink. Bioconvection and motile microorganisms with Brownian motion and thermophoresis effects are considered.y linked similarity transformations, the boundary layer set of controlling partial differential equations are transformed into ordinary differential equations. A numerical strategy (shooting technique) is used to handle the transformed system of ordinary differential equations through the Bvp4c solver of the computing tool MATLAB. The results for velocity and temperature, concentration, and motile microbe profiles are numerically and graphically examined for various parameters. The velocity distribution profile decreased as the magnetic parameter varied, but increased when the mixed convection parameter increased in magnitude. The heat flux profile is improved with higher estimations of the Biot number and thermophoresis parameter. When the Prandtl number and the Brownian motion parameter's values rise, the energy profile falls. When the Peclet number and bioconvection Lewis number increased, the profile of mobile microorganisms dropped.
Citation Count: Javaid, Maria...et al. (2022). "Unsteady flow of fractional Burgers’ fluid in a rotating annulus region with power law kernel", Alexandria Engineering Journal, Vol. 61, No. 1, pp. 17-27.
Unsteady flow of fractional Burgers’ fluid in a rotating annulus region with power law kernel
(2022) Javaid, Maria; Tahir, Madeeha; Imran, Muhammad; Baleanu, Dumitru; Akgül, Ali; Imran, Muhammad Asjad; 56389
Keeping in view of the complex fluid mechanics in bio-medicine and engineering, the Burgers’ fluid with a fractional derivatives model analyzed through a rotating annulus. The governing partial differential equation solved for velocity field and shear stress by using integral transformation method and using Bessel equations. The transformed equation inverted numerically by using Gaver-Stehfest's algorithm. The approximate analytical solution for rotational velocity, and shear stress are presented. The influence of various parameters like fractional parameters, relaxation and retardation time parameters material constants, time and viscosity parameters are drawn numerically. It is found that the relaxation time and time helps the flow pattern, on the other hand other material constants resist the fluid rotation. Fractional parameters effect on fluid flow is opposite to each other. Finally, to check the validity of the solution there are comparisons for velocity field and shear stress for obtained results with an other numerical algorithm named Tzou's algorithm.