Computational approach and dynamical aspects of fractional second grade fluid with heat and mass transport in cylindrical domain

Abstract

The purpose of the present article is to set up some new exact derivations for velocity, temperature, and concentration fields correlating with unsteady, incompressible model of second-order fluid near an infinitely placed vertical cylinder with the influence of heat and mass transfer. With help of appropriate similarity conversions, governing system of partial differential equations as well as boundary constraints are reduced to dimensionless form. The fractional calculus approach is used to study the memory effects on the fluid flow behavior. Laplace along with Hankel transforms are accustomed to investigate the general form of closed solutions for velocity, temperature, and mass fields. The influences of distinct physical parameters are presented through graphical discussion and tables. The main findings through graphical sketch are that the Grashof number and Prandtl number show opposite correspondence to velocity distribution. Furthermore, the temperature distribution is decreasing function with respect to Prandtl number.