Impact of Dufour effect on MHD convective flow of fractionalized second grade fluid with Newtonian heating
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Date
2021
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UMT Lahore
Abstract
The main purpose of this dissertation is to study the unsteady double convection flow of a magnetohydrodynamics (MHD) differential type fluid in the presence of heat source, newtonian heating and dufour effect over an infinite vertical plate with fractional mass diffusion and thermal transports. The constitutive equations for the mass flux and thermal flux are modeled for non-integer order derivative caputo-fabrizio (CF) with non-singular kernel, respectively. The laplace transform, laplace inversion numerical algorithms and convolution theorem are used to derive the analytical and semi analytical solutions for the dimensionless concentration, temperature, and velocity fields as well as the skin friction and the rates of heat and mass transfer from plate to the fluid. Solutions for ordinary case and some known results from literature are recovered as limiting cases. Further, the influence of flow parameters and fractional parameters α and β on the concentration, temperature and velocity fields are tabularly and graphically underlined and discussed using mathematical software MATHCADE. Finally, a comparison between second grade and viscous fluids for non-integer and integer order is also depicted. It is observed that ordinary fluids have greater velocities than fractional fluids.