Open AccessPrabhakar fractional derivative and its applications in the transport phenomena containing nanoparticles
Author(s) -
Muhammad Asjad,
Muhammad Zahid,
YuMing Chu,
Dumitru Băleanu
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci21s2411a
Subject(s) - laplace transform , fractional calculus , fourier transform , field (mathematics) , derivative (finance) , flow (mathematics) , mathematics , computer science , mechanics , materials science , mathematical analysis , physics , financial economics , pure mathematics , economics
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.