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Öğe A novel method for fractal-fractional differential equations(Elsevier, 2022) Attia, Nourhane; Akgul, Ali; Seba, Djamila; Nour, Abdelkader; Asad, JihadWe consider the reproducing kernel Hilbert space method to construct numerical solutions for some basic fractional ordinary differential equations (FODEs) under fractal fractional derivative with the generalized Mittag-Leffler (M-L) kernel. Deriving the analytic and numerical solutions of this new class of differential equations are modern trends. To apply this method, we use reproducing kernel theory and two important Hilbert spaces. We provide three problems to illustrate our main results including the profiles of different representative approximate solutions. The computational results are compared with the exact solutions. The results obtained clearly show the effect of the fractal fractional derivative with the M-L kernel in the obtained outcomes. Meanwhile, the compatibility between the approximate and exact solutions confirms the applicability and superior performance of the method. (c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/Öğe CFD SIMULATION AND OPTIMIZATION OF HEAT TRANSFER ENHANCEMENT IN HEV STATIC MIXERS WITH ROTATED ANGLES FOR TURBULENT FLOWS(Vinca Inst Nuclear Sci, 2023) Kaid, Noureddine; Akgul, Ali; Alkhafaji, Mohammed Ayad; Mohsen, Karrar S.; Asad, Jihad; Jarrar, Rabab; Menni, YounesStatic mixers are becoming increasingly popular because they are energyefficient, cost-effective, and easy to maintain. Mixing is an essential unit operation in many chemical industries. In this study, a modified high efficiency vortex static mixer was used to examine laminar flows in a rectangular duct. To encourage fluid rotation and improve mixing with heat transfer, the modified high efficiency vortex set was rotated by angles of 0 degrees, 5 degrees, 10 degrees, 20 degrees, 25 degrees, and 30 degrees. The Reynolds number varied from 3000 to 8000. The outcomes demonstrated that the performance of the mixing was significantly impacted by the modified high efficiency vortex set. The highest mixing efficiency was achieved with a rotation angle between 15 degrees and 20 degrees. Furthermore, the rotations reduced pressure loss in the system and enhanced heat transfer performance, by creating vortices. These results show how modified high efficiency vortex static mixers can improve mixing and heat transfer efficiency in turbulent flows, with prospective utilization across diverse chemical sectors.Öğe COMPARATIVE ANALYSIS OF SOLAR AIR CHANNELS, z-SHAPED OBSTACLES ADDED TO IMPROVE FLOW STRUCTURE(Vinca Inst Nuclear Sci, 2022) Afif, Benameur; Salmi, Mohamed; Akgul, Ali; Jarrar, Rabab; Asad, Jihad; Menni, YounesThis paper's numerical study, which applies the finite volume approach and SIMPLE algorithm, aims to dynamically analyze airflow through a channel with Z-obstacles. Three distinct models were used to place the Z-barriers inside the channel. According to Demartini et al.'s model (2004) and as depicted in example A from the present analysis, the first Z-barrier (fin) is attached to the top wall (heated) and the second (baffle) to the bottom wall (insulated). The Z-barriers, on the other hand, were positioned in the second model on the same wall (in-line arrangement), either on the top surface (two fins in example B) or on the bottom wall (two baffles in example C). With the help of these studies, fluid dynamics in solar air collectors with barriers will be better understood and designed.Öğe Computational Analysis of the Morphological Aspects of Triadic Hybridized Magnetic Nanoparticles Suspended in Liquid Streamed in Coaxially Swirled Disks(Mdpi, 2022) Qureshi, Zubair Akbar; Bilal, Sardar; Shah, Imtiaz Ali; Akguel, Ali; Jarrar, Rabab; Shanak, Hussein; Asad, JihadCurrently, pagination clearly explains the increase in the thermophysical attributes of viscous hybrid nanofluid flow by varying morphological aspects of inducted triadic magnetic nanoparticles between two coaxially rotating disks. Copper metallic nanoparticles are inserted with three different types of metallic oxide nanoparticles: Al2O3, Ti2O, and Fe3O4. Single-phase simulation has been designed for the triadic hybrid nanofluids flow. The achieved expressions are transmuted by the obliging transformation technique because of dimensionless ordinary differential equations (ODEs). Runge-Kutta in collaboration with shooting procedure are implemented to achieve the solution of ODEs. The consequences of pertinent variables on associated distributions and related quantities of physical interest are elaborated in detail. It is inferred from the analysis that Cu-Al2O3 metallic type hybrid nanofluids flow shows significant results as compared with the other hybrid nanoparticles. The injection phenomenon on hybrid nanofluids gives remarkable results regarding shear stress and heat flux with the induction of hybridized metallic nanoparticles. Shape and size factors have also been applied to physical quantities. The morphology of any hybrid nanoparticles is directly proportional to the thermal conductance of nanofluids. Peclet number has a significant effect on the temperature profile.Öğe Computer Virus Fractional Order Model with Effects of Internal and External Storage Media(New York Business Global Llc, 2022) Farman, Muhammad; Akgul, Ali; Shanak, H.; Asad, Jihad; Ahmad, AqeelIn this work, we focus on the implementation of epidemic techniques on computer virus and study the dynamic transmission of several viruses to minimize the destruction of computers. We aim to make and analyze computer viruses through the Atangana-Baleanu sense and the Atangana-Taufik scheme, which is used for the fractional derivative model for the computer virus epidemic. It contained infected external computer effects and removable storage media on the computer viruses. For the validation of the model, we also discussed its positivity and boundedness. Fixed point theory and the iterative methods helped a lot to find out the existence and uniqueness of the model. In the case of numerical simulation, we used Atanagana-Taufik technique to illustrate the effects of varying the fractional order. The graphical results support our theoretical results from which, we analyze the infected external computer effects and removable storage media on the computer viruses.Öğe Exploring Ring Structures: Multiset Dimension Analysis in Compressed Zero-Divisor Graphs(Mdpi, 2024) Ali, Nasir; Siddiqui, Hafiz Muhammad Afzal; Qureshi, Muhammad Imran; Abdallah, Suhad Ali Osman; Almahri, Albandary; Asad, Jihad; Akgul, AliThis paper explores the concept of multiset dimensions (Mdim) of compressed zero-divisor graphs (CZDGs) associated with rings. The authors investigate the interplay between the ring-theoretic properties of a ring R and the associated compressed zero-divisor graph. An undirected graph consisting of a vertex set Z(RE)\{[0]}=RE\{[0],[1]}, where RE={[x] :x is an element of R} and [x]={y is an element of R : ann(x)=ann(y)} is called a compressed zero-divisor graph, denoted by Gamma ER. An edge is formed between two vertices [x] and [y] of Z(RE) if and only if [x][y]=[xy]=[0], that is, iff xy=0. For a ring R, graph G is said to be realizable as Gamma ER if G is isomorphic to Gamma ER. We classify the rings based on Mdim of their associated CZDGs and obtain the bounds for the Mdim of the compressed zero-divisor graphs. We also study the Mdim of realizable graphs of rings. Moreover, some examples are provided to support our results. Notably, we discuss the interconnection between Mdim, girth, and diameter of CZDGs, elucidating their symmetrical significance.Öğe Fractional Order Techniques for Stiff Differential Equations Arising from Chemistry Kinetics(New York Business Global Llc, 2022) Wannan, Rania; Aslam, Muhammad; Farman, Muhammad; Akgul, Ali; Kouser, Farhina; Asad, JihadIn this paper, we consider the stiff systems of ordinary differential equations arising from chemistry kinetics. We develop the fractional order model for chemistry kinetics problems by using the Caputo Fabrizio and Atangana-Baleanu derivatives in Caputo sense. We apply the Sumudu transform to obtain the solutions of the models. Uniqueness and stability analysis of the problem are also established by using the fixed point theory results. Numerical results are obtained by using the proposed schemes which supports theoretical results. These concepts are very important for using the real-life problems like Brine tank cascade, Recycled Brine tank cascade, pond pollution, home heating and biomass transfer problem. These results are crucial for solving the nonlinear model in chemistry kinetics.Öğe FRACTIONAL-ORDER NEWTON-RAPHSON METHOD FOR NONLINEAR EQUATION WITH CONVERGENCE AND STABILITY ANALYSES(World Scientific Publ Co Pte Ltd, 2023) Farman, Muhammad; Akgul, Ali; Alshaikh, Noorhan; Azeem, Muhammad; Asad, JihadFractional-order techniques have many applications in real-life problems nowadays. The utilization of fragmentary math in many parts of science and engineering is wide and somewhat recent. There are various types of subsidiaries that can be valuable in various issues. In this paper, we focus on the effect of this kind of fractional derivative in the search for roots of nonlinear equations and its dependence on the initial estimations. We will check the convergence and stability analyses of the fractional Newton-Raphson (FNR) method for the proposed definitions. We will apply fractional Riemann-Liouville and Caputo-derivatives in the standard Newton root-finding method for different examples and also verify convergence and stability for these problems. Finding a root is very important for nonlinear equations which are used to solve chemical, biological, and engineering problems.Öğe Kernel Functions and New Applications of an Accurate Technique(Natural Sciences Publishing, 2023) Wannan, Rania; Akg, Ali; Akg, Esra Karatas; Hasan, Eyad Hasan; Asad, JihadIn this article, some general reproducing kernel Sobolev spaces was constructed. We find the general functions in these reproducing kernel Sobolev spaces. Many higher order boundary value problems can be investigated by these special functions. © 2023 NSP.Öğe MHD Stagnation Point Radiative Flow of Hybrid Casson Nanofluid across a Stretching Surface(Universal Wiser Publisher, 2024) Rani, Sandhya; Reddy, Venkata Ramana; Sridhar, W.; Akgul, Ali; Alsharari, Abdulrhman M.; Asad, JihadThe current investigation explores the hybrid Casson nanofluid stagnation point flow on a transient stretching surface under the impact of thermal radiation. The Joule heating effect is also considered in this study. Copper and aluminium hybrid nanoparticles are used. The guiding partial differential equations are broken down into nonlinear ordinary differential equations using adequate affinity transmutations. The subsequent equations are worked out by employing the Keller box scheme. The numerical findings for the study are represented by plotting velocity, and temperature graphs for various parameters like radiation parameter (Rd), Casson parameter (beta), magnetic parameter (M), Prandtl number (Pr), and unsteady parameter (s). As well, the local parameters coefficient of skin friction is calculated. For progressive estimates of the Casson parameter, the velocity of the liquid flow reduces. On intensifying the Prandtl number temperature of the fluid diminishes. Also, the effect of nanoparticles volume fraction of both nanoparticles is observed. It was found that for escalating values of both nanoparticle velocities, the velocity of the fluid flow reduces and the opposite trend is observed for the temperature profile. The usage of hybrid nanofluids has the advantage of heat transfer enhancement. The outcomes of the current investigation are good and in congruence with existing literature.Öğe Microgravity analysis of periodic oscillations of heat and mass transfer of Darcy-Forchheimer nanofluid along radiating stretching surface with Joule heating effects(Elsevier B.V., 2024) Ullah, Zia; El-Zahar, Essam. R.; Seddek, Laila F.; Eladeb, Aboulbaba; Kolsi, Lioua; Alsharari, Abdulrhman M.; Asad, JihadReduced gravity impact on mixed convection flow plays a significant role for designing of electric-generating plants in space, unwanted effects of free convection, thermodynamic stability, space devices, surface tension and movement of nanoparticles. The novelty of present work is to find the impact of reduced gravity, Joule heating and thermal radiations on Darcy Forchheimer magnetized flow of nanofluid along the stretching porous sheet. The variable gravity is assumed as temperature dependent with maximum density and maximum density. The governing model is converted into convenient model to find physical thermo parameters. The primitive steady, real and imaginary equations are formed by using stokes and primitive transformations. To make programming algorithm in FORTRAN Lahey-90/95, the primitively terms are deduced in each equation. For tabular and numerical findings of steady velocity, temperature and concentration, the implicit form of finite difference approach is applied with Gaussian elimination method. The fluctuating skin friction, fluctuating heat transfer and fluctuating mass transfer are displayed by using steady outcomes in main formula. It is found that the magnitude of fluid velocity enhances as magnetic force, reduced gravity and Darcy Forchheimer parameter enhances. It is concluded that temperature distribution decreases as magnetic force enhances. It is noted that oscillating frequency in skin friction and heat transfer enhances as Schmidt number enhances. It is found that the maximum fluctuating layer in heat and mass transfer enhances as Prandtl number enhances. © 2024 The Author(s)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 Novel Exact and Solitary Wave Solutions for The Time-Fractional Nonlinear Maccari's System(Universal Wiser Publisher, 2023) Gasmi, Boubekeur; Alhakim, Lama; Mati, Yazid; Moussa, Alaaeddin; Akgul, Ali; Wannan, Rania; Asad, JihadThe purpose of this research is to find analytical solutions to the time-fractional nonlinear Maccari system. The double auxiliary equation method, which has never been used before, is used to obtain these solutions. The method is cleverly applied, resulting in the generation of nine new exact solitary wave solutions that have never been found before. We also describe the system's dynamic behavior and the bifurcation of traveling waves. Finally, we show some solutions with different coefficient values that correspond to the nine discovered solutions graphically.Öğe NUMERICAL INVESTIGATION OF THE INTERACTION BETWEEN THE ROUGHNESS AND THE TRIANGULAR OBSTRUCTIONS IN A RECTANGULAR CHANNEL(Vinca Inst Nuclear Sci, 2023) Sari Hassoun, Zakaria; Aliane, Khaled; Akgul, Ali; Jarrar, Rabab; Asad, Jihad; Menni, Younes; Ahmad, HijazThe study is conducted around a heat exchanger, its channel is horizontal rect-angular, its upper wall is isothermal, while its lower wall is thermally insulated, containing extended surfaces in the form of triangular obstacles attached in a stag-gered manner periodically. Four models of the channel with various roughnesses were compared in this study. Square, triangular Type 1, triangular Type 2, and triangular Type 3 roughnesses, which are positioned on the hot top part of the channel (absorber), downstream of the last obstacle, are examined to promote heat transfer between the absorber and the heat transfer fluid. The case of triangular roughness (Type 3) is the optimal case in terms of improved heat transfer. More-over, it shows a significant decrease in terms of friction values.Öğe Numerical solution of MHD Casson fluid flow with variable properties across an inclined porous stretching sheet(Amer Inst Mathematical Sciences-Aims, 2022) Rddy, K. Veera; Reddy, G. Venkata Ramana; Akgul, Ali; Jarrar, Rabab; Shanak, Hussein; Asad, JihadThe dynamics of Casson nanofluid with chemically reactive and thermally conducting medium past an elongated sheet was investigated in this work. Partial differential equations were used in the flow model (PDEs). The governing equations can be converted into system of ordinary differential equations. Using the R-K method and shooting techniques, the altered equations were numerically resolved. The impact of relevant flow factors was depicted using graphs while computations on engineering quantities of interest are tabulated. The velocity profiles were observed to degrade when the visco-inelastic parameter (Casson) and magnetic parameter (M) were set to a higher value. An increase in magnetic specification's value has been observed to decrease the distribution of velocity. A huge M value originates the Lorentz force which can degenerate the motion of an electrically conducting fluids. Physically, the multiplication of electrical conductivity (??????) and magnetic force's magnitude possess electromagnetic force which drag back the fluid motion. As a result, as Gm rises, the mass buoyancy force rises, causing the velocity distribution to widen. The contributions of variable thermal conductivity and variable diffusion coefficient on temperature and concentration contours respectively have been illustrated. The boundary layer distributions degenerate as the unsteadiness parameter (A) is increased. The outcomes of this agrees with previous outcomes.Öğe OPTIMIZING SOLAR WATER HEATER PERFORMANCE THROUGH A NUMERICAL STUDY OF ZIG-ZAG SHAPED TUBES(Vinca Inst Nuclear Sci, 2023) Korti, Mohammed Choukri; Youcef, Ahmed; Akgul, Ali; Alwan, Adil Abbas; Mohsen, Karrar S.; Asad, Jihad; Jarrar, RababThis study aimed to investigate the thermal behavior of water flows in a solar collector equipped with zig-zag tubes. To achieve this, a numerical simulation using CFD was conducted, which is a powerful tool for analyzing fluid-flow and heat transfer. The simulation employed the finite volume method to discretize the fluid domain and the SIMPLE algorithm to solve the pressure-velocity coupling. The simulation results indicated that the shape of the tubes significantly influenced the flow behavior and overall performance of the solar collector. Specifically, the temperature profiles at various times of the day showed that zig-zagshaped tubes enhanced the heat transfer coefficient, resulting in higher temperatures within the collector. Moreover, the zig-zag design increased the residence time of the fluid inside the collector, further improving its overall efficiency. These findings highlight the potential of utilizing zig-zag-shaped tubes to optimize the performance of solar water heating systems, which could have important implications for renewable energy applications.Öğe Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative(Amer Inst Mathematical Sciences-Aims, 2022) Partohaghighi, Mohammad; Akgul, Ali; Asad, Jihad; Wannan, RaniaHeydari-Hosseininia (HH) fractional derivative is a newly introduced concept of fractional calculus which conquers the restrictions of non-singular fractional derivatives in the Caputo-Fabrizio (CF) and Atangana-Baleanu senses. For instance, it is not easy to get the closed-form of the fractional derivative of functions using CF because of the construction of its kernel function. In this paper, we present a powerful numerical scheme based on energy boundary functions to get the approximate solutions of the time-fractional inverse Burger equation containing HH-derivative: (HH)D(tau)(alpha)h(z, tau) - h(z, tau)h(z)(z, tau) = h(zz)(z, tau) + H(z, tau), which (HH)D(alpha)(tau )is the HH-derivative with regard to alpha-order. This problem has never been investigated earlier so, this is our motivation to work on this important problem. Some numerical examples are presented to verify the efficiency of the presented technique. Graphs of the exact and numerical solutions along with the plot of absolute error are provided for each example. Tables are given to see and compare the results point by point for each example.Öğe THREE-DIMENSIONAL ASSESSMENT OF THERMAL-HYDRAULIC BEHAVIOUR IN HEAT EXCHANGERS FITTED BY WAVY ANNULAR FINS(Vinca Inst Nuclear Sci, 2022) Djeffal, Fares; Tahrour, Farouk; Bordja, Lyes; Akgul, Ali; Jarrar, Rabab; Asad, Jihad; Menni, YounesIn this study, numerical studies to clarify the influence of wave number and amplitude on thermal-flow behavior of wavy annular finned-and-tube heat exchangers are described. For a range of Reynolds number from 4400 to 14300, the influence of wave amplitude, 1.5 <= A <= 4.5 mm, and wave numbers, 2 <= N-w <= 6, on forced convection heat transfer was examined. It was revealed that the wave amplitude and number have an impact on the heat flux, Colburn factor, and friction factor. The wavy annular-fins with a 3 mm amplitude and N-w = 4 waves obtained the highest values at all Reynolds numbers in terms of the overall performance criterion (j/f(1/3)).Öğe USING OBSTACLE PERFORATION, RECONFIGURATION, AND INCLINATION TECHNIQUES TO ENHANCE THE DYNAMIC AND THERMAL STRUCTURE OF A TOP-ENTRY CHANNEL(Vinca Inst Nuclear Sci, 2022) Mahdi, Khaled; Bekrentchir, Khalida; Hussein, Ahmed Kadim; Akgul, Ali; Shanak, Hussein; Asad, Jihad; Akkurt, NevzatThis research is to incorporate three efficient ways that will increase the performance of baffled heat exchangers. The 1st technique is represented by baffle perforating to create pores through which secondary streams pass in order to reduce main stream pressure on the flow areas. A 2nd technique represented in redesigning the baffle structure by replacing its square edge with the arched edge in order to increase the X-velocity to facilitate the flow towards the outlet and reduce the Y-velocity to reduce the values of fluid friction with the solid areas. Finally, a 3rd way was demonstrated by using the inclined baffle model. Reinforcement of the baffle structure allowed for enhanced vortices, increased thermal gradients, and thus a reinforced thermodynamic structure over the entire heat exchanger.