Matematik Bölümü Yayın Koleksiyonu
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Editorial From the Guest Editors Contemporary Modelling Methods in Heat, Mass, and Fluid Flow Special Collection of Articles(Vinca inst Nuclear Sci, 2017) Hristov, Jordan; Baleanu, Dumitru; Baleanu, Dumitru; Atangana, Abdon; MatematikEditorial Contemporary Modelling Methods in Heat, Mass, and Fluid Flow - Second Part(Vinca inst Nuclear Sci, 2017) Hristov, Jordan; Baleanu, Dumitru; Baleanu, Dumitru; Atangana, Abdon; MatematikBiographical Item On the 60th Anniversary of Professor Jordan Yankov Hristov(Vinca inst Nuclear Sci, 2015) Baleanu, Dumitru; Baleanu, Dumitru; Yang, Xiao-Jun; Xie, Gongnan; MatematikEditorial Citation - WoS: 3Modelling Heat and Mass Transfer Phenomena New Trends in Analytical and Numerical Methods(Vinca inst Nuclear Sci, 2019) Inc, Mustafa; Baleanu, Dumitru; Baleanu, Dumitru; Hristov, Jordan; MatematikEditorial Advanced Modelling of Transport Problems in Heat-Mass and Related Fluid Mechanics(Vinca inst Nuclear Sci, 2021) Hristov, Jordan; Baleanu, Dumitru; Kumar, Devendra; Baleanu, Dumitru; MatematikEditorial Citation - WoS: 1New Trends in Fractional Modelling of Transport Problems in Fluid Mechanics and Heat Mass Transfer(Vinca inst Nuclear Sci, 2018) Inc, Mustafa; Baleanu, Dumitru; Baleanu, Dumitru; Hristov, Jordan; MatematikArticle Citation - WoS: 10Citation - Scopus: 12Soliton Solutions for Non-Linear Kudryashov's Equation Via Three Integrating Schemes(Vinca inst Nuclear Sci, 2021) Mirhosseini-Alizamini, Mehdi; Baleanu, Dumitru; Rezazadeh, Hadi; Inc, Mustafa; Hussain, Majid; Arshed, Saima; Mirhosseini-Alizamini, Seyed Mehdi; Mustafa, I.N.C.This paper considers the non-linear Kudryashov's equation, that is an extension of the well-known dual-power law of refractive index and is analog to the generalized version of anti-cubic non-linearity. The model is considered in the presence of full non-linearity. The main objective of this paper is to extract soliton solutions of the proposed model. Three state-of-the-art integration schemes, namely modified auxiliary equation method, the sine-Gordon expansion method and the tanh-coth expansion method have been employed for obtaining the desired soliton solutions.Article Citation - WoS: 38Citation - Scopus: 31Prabhakar Fractional Derivative and Its Applications in the Transport Phenomena Containing Nanoparticles(Vinca inst Nuclear Sci, 2021) Zahid, Muhammad; Chu, Yu-Ming; Baleanu, Dumitru; Asjad, Muhammad ImranIn this paper, a new approach of analytical solutions is carried out on the thermal transport phenomena of Brinkman fluid based on Prabhakar's fractional derivative with generalized Fourier's law. The governing equations are obtained through constitutive relations and analytical solutions obtained via Laplace transform technique. Solutions for temperature and velocity field were analyzed through graphical description by MathCad software. The fluid properties revealed various aspects for different flow parameters as well as fractional parameter values and found important results. As a result, it is found that fluid properties can be enhanced by increasing the values of fractional parameters and can be useful in some experimental data where suitable.Article Citation - WoS: 1Citation - Scopus: 1Studying Heat Conduction in a Sphere Considering Hybrid Fractional Derivative Operator(Vinca inst Nuclear Sci, 2022) Latif, Mohamed S. Abdel; Baleanu, Dumitru; Kader, Abass H. AbdelIn this paper, the fractional heat equation in a sphere with hybrid fractional derivative operator is investigated. The heat conduction is considered in the case of central symmetry with heat absorption. The closed form solution in the form of three parameter Mittag-Leffler function is obtained for two Dirichlet boundary value problems. The joint finite sine Fourier-Laplace transform is used for solving these two problems. The dynamics of the heat transfer in the sphere is illustrated through some numerical examples and figures.Article Citation - WoS: 2Citation - Scopus: 2Study of Electro-Osmotic Nanofluid Transport for Scraped Surface Heat Exchanger With Heat Transfer Phenomenon(Vinca inst Nuclear Sci, 2021) Imran, Ali; Javeed, Shumaila; Baleanu, Dumitru; Zeb, Muhammad; Ahmad, Sohail; Waheed, AsifIn this study a novel mathematical model for electroosmotic flow for Cu-water based nanofluid with heat transfer phenomenon is reported for scraped-surface heat exchanger. The flow is initiated due to motion of lower wall of the channel and axial pressure gradient. The flow is modelled with aid of low Reynolds number and lubrication approximation theory. Exact analytical expressions are gathered for axial velocity, and stream functions for various stations of scraped-surface heat exchanger. Physical phenomenon of electro osmotic parameter are investigated on velocity profile, velocity distribution and pressure rise at edge of the blades. It is reported that electro-osmotic parameter mainly works as dragging force, it can be used to control the flow. This controlling mechanism may be helpful in mixing different materials in scraped-surface heat exchanger. Pressure rise at edge of the blades mainly rises below the blades with electro-osmotic, whereas, this profiles is suppressed for region above the blades and between the blades.