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  • Open Access

    ARTICLE

    Fractal Fractional Order Operators in Computational Techniques for Mathematical Models in Epidemiology

    Muhammad Farman1,2,4, Ali Akgül3,9,*, Mir Sajjad Hashemi5, Liliana Guran6,7, Amelia Bucur8,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.2, pp. 1385-1403, 2024, DOI:10.32604/cmes.2023.028803

    Abstract New fractional operators, the COVID-19 model has been studied in this paper. By using different numerical techniques and the time fractional parameters, the mechanical characteristics of the fractional order model are identified. The uniqueness and existence have been established. The model’s Ulam-Hyers stability analysis has been found. In order to justify the theoretical results, numerical simulations are carried out for the presented method in the range of fractional order to show the implications of fractional and fractal orders. We applied very effective numerical techniques to obtain the solutions of the model and simulations. Also, we present conditions of existence for… More >

  • Open Access

    ARTICLE

    Simulation Analysis of New Energy Vehicle Engine Cooling System Based on K-E Turbulent Flow Mathematical Model

    Hongyu Mu1,2,*, Yinyan Wang1, Chuanlei Yang1, Hong Teng2, Xingtian Zhao2, Hongquan Lu2, Dechun Wang2, Shiyang Hao2, Xiaolong Zhang2, Yan Jin2

    Energy Engineering, Vol.120, No.10, pp. 2325-2342, 2023, DOI:10.32604/ee.2023.029360

    Abstract New energy vehicles have better clean and environmental protection characteristics than traditional fuel vehicles. The new energy engine cooling technology is critical in the design of new energy vehicles. This paper used one-and three-way joint simulation methods to simulate the refrigeration system of new energy vehicles. Firstly, a k-ε turbulent flow model for the cooling pump flow field is established based on the principle of computational fluid dynamics. Then, the CFD commercial fluid analysis software FLUENT is used to simulate the flow field of the cooling pump under different inlet flow conditions. This paper proposes an optimization scheme for new… More > Graphic Abstract

    Simulation Analysis of New Energy Vehicle Engine Cooling System Based on K-E Turbulent Flow Mathematical Model

  • Open Access

    ARTICLE

    MATHEMATICAL MODELLING OF UNSTEADY MHD DOUBLEDIFFUSIVE NATURAL CONVECTION FLOW IN A SQUARE CAVITY

    K. Venkatadria,*, S. Gouse Mohiddina , M. Suryanarayana Reddyb

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-9, 2017, DOI:10.5098/hmt.9.33

    Abstract Two-dimensional unsteady laminar double-diffusive free convective flow of a conducting fluid in a thermally insulated square enclosure except the left wall has been numerically studied in presence of heat generation/absorption. The Marker and Cell (MAC) method is employed for solving nonlinear momentum, energy and concentration equations and the numerical MATLAB code is validated with the previous study. The computed results are depicted graphically and discussed for various values of Rayleigh number (Ra), Hartmann number (Ha), Buoyancy ratio parameter (N), Lewis number (Le) and heat absorption/generation parameter (γ). It is observed that the rate of heat and mass transfer decreases with… More >

  • Open Access

    ARTICLE

    STUDY ON WAX DEPOSITION RATE OPTIMIZATION ALGORITHM BASED ON LEVENBERG-MARQUARDT ALGORITHM AND GLOBAL OPTIMIZATION

    Rongge Xiaoa , Yue Zhub,*, Wenbo Jina , Zheng Daia , Shifang Lia , Fan Zhangc

    Frontiers in Heat and Mass Transfer, Vol.12, pp. 1-6, 2019, DOI:10.5098/hmt.12.28

    Abstract In order to accurately obtain the wax deposition rate model, according to the kinetic principle of wax deposition, several factors affecting the wax deposition rate were selected, and by a optimization software of First Optimization(1stOpt), The parameters of two typical wax deposition rate models are solved respectively based on optimization algorithm combined by Levenberg-Marquardt (L-M) algorithm and global optimization and the calculated data were compared. The results show that: compared with the model parameters obtained by least squares method, the model parameters obtained by this optimization algorithm can describe the variation of wax deposition rate more accurately. The maximum error… More >

  • Open Access

    ARTICLE

    EXPERIMENTAL INVESTIGATION AND MATHEMATICAL MODELING OF CONVECTIVE DRYING KINETICS OF WHITE RADISH

    Abhishek Dasorea,*, Ramakrishna Konijetib , Naveen Puppalac

    Frontiers in Heat and Mass Transfer, Vol.13, pp. 1-7, 2019, DOI:10.5098/hmt.13.21

    Abstract The influence of air temperature on drying kinetics of radish slices in a bench scale convective tray dryer was examined experimentally and suitable drying model was developed. The experiments of drying of radish slices were conducted at 40, 50 and 60 °C with an air velocity of 2 More >

  • Open Access

    ARTICLE

    Statistical Time Series Forecasting Models for Pandemic Prediction

    Ahmed ElShafee1, Walid El-Shafai2,3, Abeer D. Algarni4,*, Naglaa F. Soliman4, Moustafa H. Aly5

    Computer Systems Science and Engineering, Vol.47, No.1, pp. 349-374, 2023, DOI:10.32604/csse.2023.037408

    Abstract COVID-19 has significantly impacted the growth prediction of a pandemic, and it is critical in determining how to battle and track the disease progression. In this case, COVID-19 data is a time-series dataset that can be projected using different methodologies. Thus, this work aims to gauge the spread of the outbreak severity over time. Furthermore, data analytics and Machine Learning (ML) techniques are employed to gain a broader understanding of virus infections. We have simulated, adjusted, and fitted several statistical time-series forecasting models, linear ML models, and nonlinear ML models. Examples of these models are Logistic Regression, Lasso, Ridge, ElasticNet,… More >

  • Open Access

    ARTICLE

    CONVECTIVE HOT AIR DRYING KINETICS OF RED BEETROOT IN THIN LAYERS

    Abhishek Dasorea,* , Tarun Polavarapub , Ramakrishna Konijetic , Naveen Puppalad ,

    Frontiers in Heat and Mass Transfer, Vol.14, pp. 1-8, 2020, DOI:10.5098/hmt.14.23

    Abstract The effect of air temperature on drying kinetics of red beetroot slices was investigated experimentally in a cabinet tray dryer. Drying was carried out at 70, 75, 80, and 85 ° More >

  • Open Access

    ARTICLE

    MATHEMATICAL MODEL OF THIN LAYER DRYING OF GANODERMA LUCIDUM BY RADIO FREQUENCY ASSISTED HEAT PUMP DRYING

    Le Anh Duca , Nguyen Haya, Pham Van Kienb,*

    Frontiers in Heat and Mass Transfer, Vol.18, pp. 1-7, 2022, DOI:10.5098/hmt.18.44

    Abstract This study determined the most appropriate thin layer drying model, the effective moisture diffusivity and the activation energy of moisture within Ganoderma lucidum in radio frequency (RF) assisted heat pump drying method. The thin layer drying experiments were conducted with input drying parameters such as: drying temperature of 40, 45 and 50°C and RF power of 0.65, 1.3 and 1.95 kW. In order to select a suitable form of drying curve, seven different thin layer drying models (Lewis, Page, Modified Page, Henderson and Pabis, Verma, Midilli, and Wang and Singh) were fitted to the experimental data. The Verma model was… More >

  • Open Access

    ARTICLE

    MATHEMATICAL MODELING OF MHD FLOW OF HYBRID MICROPOLAR FERROFLUIDS ABOUT A SOLID SPHERE

    Hamzeh T. Alkasasbeh*

    Frontiers in Heat and Mass Transfer, Vol.18, pp. 1-9, 2022, DOI:10.5098/hmt.18.43

    Abstract The purpose of this study is mathematical simulation the combined free convection of hybrid micropolar ferrofluids about a solid sphere with magnetic force. We studied the magnetic oxide (Fe3O4) and Cobalt Iron Oxide (CoFe2O4) nanoparticles and suspended them into water–ethylene glycol (EG) (H2O+(CH2OH)2 (50-50%) mixture. Numerical results for correlated physical quantities were gained through the Keller Box method along with the assistance of MATLAB software. The influence of relevant contributing parameters on physical quantities are inspected through tables and graphical illustrations. According to the current findings, the mono ferrofluid has the highest local skin friction, heat transmission rate, velocity and… More >

  • Open Access

    ARTICLE

    Kinetic Modeling of Light Naphtha Hydroisomerization in an Industrial Universal Oil Products Penex™ Unit

    Ramzy S. Hamied1, Zaidoon M. Shakor2,*, Anfal H. Sadeiq1, Adnan A. Abdul Razak2, Ammar T. Khadim3

    Energy Engineering, Vol.120, No.6, pp. 1371-1386, 2023, DOI:10.32604/ee.2023.028441

    Abstract Recently, the isomerization of light naphtha has been increasingly significant in assisting refiners in meeting sternness specifications for gasoline. Isomerization process provides refiners with the advantage of reducing sulfur, olefin, and benzene in the gasoline basin without significantly victimizing the octane. The mathematical modeling of a chemical reaction is a critical tool due to it can used to optimize the experimental data to estimate the optimum operating conditions for industrial reactors. This paper describes light naphtha isomerization reactions over a Pt/Al2O3-Cl catalyst at the Al-Dura Oil Refinery (Baghdad, Iraq) using a newly developed universal mathematical model. The proposed kinetic model… More >

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