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Öğe Computational examination of Jeffrey nanofluid through a stretchable surface employing Tiwari and Das model(De Gruyter Poland Sp Z O O, 2021) Shahzad, Faisal; Jamshed, Wasim; Koulali, Aimad; Aissa, Abederrahmane; Safdar, Rabia; Akgul, Esra Karatas; Ibrahim, Rabha W.In this research, we analyze the magnetohydrodynamics heat act of a viscous incompressible Jeffrey nanoliquid, which passed in the neighborhood of a linearly extending foil. As a process, we employ alumina (Al2O3) as nanoparticles, assuming that the base fluid is ethylene glycol. In this involvement, we consider the heating by Joule effect and viscous dissipation. We select the passable transformations, motion, and temperature formulas converting into non-linear differential equation arrangement. We solved the system by using a Keller-box method. Then, we provide a graphical description of outcomes according to the selected control parameters. Higher values of dissipation parameter cause a surge in temperature field as well as strengthen width of the heat boundary layer. The velocity, drag coefficient, and heat transfer (HT) rate for the base fluid are comparatively greater than that of the Al2O3-ethylene glycol nanofluid, although the temperature is embellished by the inclusion of nanoparticles. Moreover, we report depreciation in surface drag as well as HT by the virtue of amplification in the Deborah number. The proclaimed outcomes are advantageous to boost the incandescent light bulb's, cooling and heating processes, filament emitting light, energy generation, multiple heating devices, etc.Öğe Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study(Hindawi Ltd, 2021) Anwar, Rabia; Ghamkhar, Madiha; Khan, Muhammad Imran; Safdar, Rabia; Iqbal, Muhammad Zafar; Jamshed, Wasim; Akgul, Esra KaratasCylindrical shells play an important role for the construction of functionally graded materials (FGMs). Functionally graded materials are valuable in order to develop durable materials. They are made of two or more materials such as nickel, stainless steel, zirconia, and alumina. They are extremely beneficial for the manufacturing of structural elements. Functionally graded materials are broadly used in several fields such as chemistry, biomedicine, optics, and electronics. In the present research, vibrations of natural frequencies are investigated for different layered cylindrical shells, those constructed from FGMs. The behavior of shell vibration is based on different parameters of geometrical material. The problem of the shell is expressed from the constitutive relations of strain and stress with displacement, as well as it is adopted from Love's shell theory. Vibrations of natural frequencies (NFs) are calculated for simply supported-simply supported (SS-SS) and clamped-free (C-F) edge conditions. The Rayleigh-Ritz technique is employed to obtain the shell frequency equation. The shell equation is solved by MATLAB software.Öğe New numerical simulation of the oscillatory phenomena occurring in the bioethanol production process(Springer Heidelberg, 2023) Partohaghighi, Mohammad; Akgul, Ali; Akgul, Esra Karatas; Asad, Jihad; Safdar, Rabia; Yao, GuangmingThe process of bioethanol production has been characterized with a structured and nonsegregated form of yeast growth dynamics. In this work, a geometric numerical method is applied to obtain the approximate solution of the oscillatory phenomena transpiring in the process of bioethanol production. This method is called group preserving scheme which is based on Lie group, proper for solving ordinary differential equations. In this regard, The Minkowski Cayley transformation is used to create this numerical method to get the approximate solutions of the problems. Moreover, figures are provided to show the reliability and accuracy of the proposed method.Öğe Thermal radiative mixed convection flow of MHD Maxwell nanofluid: Implementation of buongiorno's model(Elsevier, 2022) Safdar, Rabia; Jawad, Muhammad; Hussain, Sajjad; Imran, Muhammad; Akgul, Ali; Jamshed, WasimA mathematical model for steady MHD Maxwell nanofluid flow over the porous stretching sheet with gyrotactic microorganisms is discussed theoretically and numerically. We use the theory of the microorganism to stabilize the suspended nanoparticles, due to bio convection, induced by the impacts of buoyancy forces. Similarity transformations used to transform the mathematical PDEs of non-linear nature i.e., continuity equation, velocity, concentration, density, and energy of motile micro-organisms into the system of non-linear ordinary differential equations. Mathematica 11used to acquire the solutions for the mathematical model. Boundary conditions together with non-zero value of mass flux is imposed on the given problem. Valuations are performed graphically for several protuberant parameters like Hartman number, bio convection, Peclet number, Deborah number, thermophoresis diffusion, Rayleigh number, Brownian motion, and mixed convection parameters. These different parameters are employed on non-dimension velocity function, temperature function, concentration function and density of the motile microorganisms and studied numerically in detail. It is observed that by increasing the value of bioconvection parameter as well as Peclet number, the microorganism field diminishes. Graphical diagrams are showing the consistency of the latest results.