TY - JOUR
TI - Prabhakar fractional derivative and its applications in the transport phenomena containing nanoparticles
AU - Asjad Muhammad Imran
AU - Zahid Muhammad
AU - Chu Yu-Ming
AU - Baleanu Dumitru
JN - Thermal Science
PY - 2021
VL - 25
IS - 102
SP - 411
EP - 416
PT - Article
AB - 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.