Unsteady MHD oblique stagnation slip flow of Oldroyd-B nanofluids by coupling Cattaneo-Christov double diffusion and Buongiorno model

Abstract

• Oblique stagnation flow with slip effect under slant magnetic field is studied. • Pressure gradient is gained by solving first order ordinary differential equation . • Thermophoresis and Brownian motion term with relaxation effects are generated. • Approximate analytical solution of unsteady oblique stagnation flow is acquired. Unsteady oblique stagnation flow, thermal and mass transmission of Oldroyd-B nano model through a vibrating tensile plate are investigated, with slip effect and inclined magnetic field. According to the boundary layer flow characteristics, a first-order ordinary differential equation is established to acquire the pressure field. Meanwhile, the heat conduction and Brownian diffusion of Buongiorno model is modified by Cattaneo-Christov double diffusion innovatively, which can produce the thermophoresis term and Brownian motion term with relaxation effects. Convective heat transfer and nonlinear radiation are also considered. The governing equations are changed to time-varying partial differential equations (PDE) via similarity transformation, which is calculated by Homotopy Analysis Method (HAM). The outcomes exhibit relaxation effect first accelerate and then impede energy and mass transfer of fluid. As a result of diffusion of nanoparticles, thermophoresis and Brownian motion give rise to large variations in concentration. Convective heat transfer and radiation can profit to thermal transfer. Changing the angle of inclined magnetic field can flexibly dominate flow velocity of fluid, which can cut down the cost in practice. Velocity slip is an obstacle to fluid flow.