Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Subject: search.filters.subject.Heat TransferWoS Q: search.filters.wosQuartile.Q4

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  • Article
    Citation - WoS: 5
    Citation - Scopus: 7
    A Fractional Study of Mhd Casson Fluid Motion With Thermal Radiative Flux and Heat Injection/Suction Mechanism Under Ramped Wall Condition: Application of Rabotnov Exponential Kernel
    (Sciendo, 2024) Jarad, Fahd; Riaz, Muhammad Bilal; Rehman, Aziz Ur
    The primary objective of this research is to extend the concept of fractionalized Casson fluid flow. In this study, a comprehensive analysis of magnetohydrodynamic (MHD) natural convective flow of Casson fluid is conducted, focusing on obtaining analytical solutions using the non-integer-order derivative known as the Yang-Abdel-Aty-Cattani (YAC) operator. The YAC operator utilized in this research possesses a more generalized exponential kernel. The fluid flow is examined in the vicinity of an infinitely vertical plate with a characteristic velocity denoted as u(0). The mathematical modelling of the problem incorporates partial differential equations, incorporating Newtonian heating and ramped conditions. To facilitate the analysis, a suitable set of variables is introduced to transform the governing equations into a dimensionless form. The Laplace transform (LT) is then applied to the fractional system of equations, and the obtained results are presented in series form and also expressed in terms of special functions. The study further investigates the influence of relevant parameters, such as alpha, beta, P-r, Q, Gr, M, N-r and K, on the fluid flow to reveal interesting findings. A comparison of different approaches reveals that the YAC method yields superior results compared to existing operators found in the literature. Graphs are generated to illustrate the outcomes effectively. Additionally, the research explores the limiting cases of the Casson and viscous fluid models to derive the classical form from the YAC fractionalized Casson fluid model.
  • Article
    Citation - WoS: 38
    Citation - Scopus: 31
    Prabhakar 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 Imran
    In 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: 9
    Citation - Scopus: 11
    Fractional Model of Second Grade Fluid Induced by Generalized Thermal and Molecular Fluxes With Constant Proportional Caputo
    (Vinca inst Nuclear Sci, 2021) Ahmad, Mushtaq; Asjad, Muhammad Imran; Baleanu, Dumitru; Chu, Yu-Ming
    In this research article, the constant proportional Caputo approach of fractional derivative is applied to derive the generalized thermal and molecular profiles for flow of second grade fluid over a vertical plate. The governing equations of the prescribed flow model are reduced to dimensionless form and then solved for temperature, concentration, and velocity via Laplace transform. Further graphs of field variables are sketched for parameter of interest. Comparison between present result and the existing results is also presented graphically.
  • Article
    Citation - Scopus: 8
    Mhd Flow and Heat and Mass Transport Investigation Over a Decelerating Disk With Ohmic Heating and Diffusive Effect
    (Serbian Society of Heat Transfer Engineers, 2023) Mehta, R.; Mehta, T.; Singh, J.; Baleanu, D.; Jain, R.
    The motive of this study is to investigate the spinning fluid-flow due to revolving disk for the magnetic unsteady Brownian motion of viscous nanofluid. Here the disk is assumed to have an inverse linear angular velocity. In this paper mass transfer is incorporated in the analysis with the existing problem. The array of equation for the unsteady flow firstly converted into dimensionless non-linear equation using appropriate transformation and then the dimensionless system of equation is further solved numerically utilizing MAPLE software. The different emerging parameters mainly magnetic parameter, variable viscosity, Prandtl number, Eckert number, thermophoresis, and Brownian motion parameter has been investigated through graphs and shown in tabular form also. © 2023 Society of Thermal Engineers of Serbia Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions