Abstract:

In this thesis, the double fractional Maxwell viscoelastic fluid model along with the heat transfer over a stretched surface embedded with pore structures has been presented and analyzed in detail. In order to capture anomalous phenomena in the fluid, the Caputo operator is introduced in the constitutive equation combined with the generalized Fourier law to derive the corresponding mathematical model. The implicit finite difference scheme combined with the L1 algorithm is employed  to discretize the coupled nonlinear partial differential equations in the model. The numerical solutions have been obtained by developing a computer code of the numerical scheme in MATLAB. The inside characteristics of fluid and heat transfer phenomena in presence of the Forchheimer medium are captured by investigating various physical parameters arising the model. The findings in this thesis show that the elastic feature becomes stronger as the fractional stress parameter increases. On the other hand, the fluid exhibit viscous fluid-like behavior for the higher values of the fractional strain parameter.  Furthermore, increasing the Prandtl number results in a thermal boundary layer devaluation.

Thesis Committee

1). Dr. Imran Naeem (Examiner)

2). Dr. Amer Rasheed (Supervisor)