Simultaneous Flow of n-Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary Conditions

In a rectangular region, the multilayered laminar unsteady flow and temperature distribution of immiscible Maxwell fractional fluids by two parallel moving walls are studied. The fluid occurs in presence Robin’s boundaries linear fluid-fluid interface conditions due to motion on its planes time-dependent pressure gradient. problem is defined as mathematical model which focuses memory, represented constituent equation with Caputo time-fractional derivative. integral transformations approach (the Laplace transform finite sine-Fourier transform) used determine analytical solutions for velocity, shear stress, fields interface, initial, boundary conditions. For semianalytical solutions, algorithms Talbot calculate inverse transformation. We Mathcad software graphical illustration numerical computation. It has been observed that memory effect significant both flow.