• ANALYSIS OF THIN FILM FLOW OF OLDROYD-B NANOFLUID IN AN OSCILLATING INCLINED BELT WITH CONVECTIVE BOUNDARY CONDITIONS

Abstract

The time-dependent thin film flow problem of visco-elastic fluid consisting of nano-sized particles through an inclined belt has been studied in presence of transverse magnetic field. The constitutive equation of fluid flow is characterized by Oldroyd-B fluid model bearing rheological parameters: relaxation parameter and retardation parameter. The lower surface of the belt is oscillating about a non-zero constant mean velocity U. Outer surface is characterized by convection-conduction and convection-diffusion boundary conditions. Governing equations of motion are solved analytically by using perturbation scheme. Closed form solutions for velocity profiles, shearing stress, temperature and concentration fields are constructed. Results are discussed graphically for various values of flow parameters involved in the solution with a special emphasis are given on effects of relaxation and retardation parameters.