TY - JOUR
TI - Dynamics of unsteady fluid-flow caused by a sinusoidally varying pressure gradient through a capillary tube with Caputo-Fabrizio derivative
AU - Sadaf Maasoomah
AU - Perveen Zahida
AU - Zainab Iqra
AU - Akram Ghazala
AU - Abbas Muhammad
AU - Baleanu Dumitru
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 49
EP - 56
PT - Article
AB - This paper presents a study of the unsteady flow of second grade fluid  through a capillary tube, caused by sinusoidally varying pressure gradient,  with fractional derivative model. The fractional derivative is taken in  Caputo-Fabrizio sense. The analytical solution for the velocity profile has  been obtained for non-homogenous boundary conditions by employing the  Laplace transform and the finite Hankel transform. The influence of order of  Caputo-Fabrizio time-fractional derivative and time parameter on fluid  motion is discussed graphically.