Finite difference analysis of turbulent nanofluid and heat fluctuation with oscillatory radiation, gravity and Darcy-Forchheimer porous medium via vertical cone

Abstract

The transient mixed convection analysis of heat and mass transport of Darcy Forchheimer nanofluid flow over a thermal vertical cone in combustion engine cylinder with gravity modulation, nonlinear solar radiations and buoyancy force effects is the objective present phenomenon. In the study of frequency and amplitude of heat transfer, the periodic gravity modulation is significant. The gravity modulation is used under high temperature and density of nanoparticles. Brownian movement and thermophoretic slip mechanisms of nanofluid are utilized. The effects of gravity modulation, radiations and buoyancy on the frequency of heat and mass oscillations are deduced. The convenient form of governing equations is used with dimensionless coefficients. Oscillatory and steady models are solved with primitive and transient stokes factors. Heat/mass transport in steady and oscillatory form is recorded using implicit finite-difference scheme (IFDS) numerically and geometrically through FORTRAN and Tec-plot360 programs. In both oscillatory and steady analysis, the gravity modulation ($R_G$), radiation ($R_d$), thermophoresis ($N_T$), Schmidt index ($S_c$), Prandtl (Pr) and Brownian motion ($N_B$) effects on fluctuating-heat and oscillatory-mass rate is reported. Magnitude of nanofluid velocity is enhanced well for maximum microgravity, radiations and buoyancy effects. Steady mass/heat transport is increased for higher thermophoretic and Forchheimer values. Increasing rate in fluctuations of periodic heating and periodic-mass rates is construed with greater magnitude for maximum Prandtl and Schmidt dynamics. Minimum layers of fluctuations in skin friction and heat transport are sketched for small Schmidt factor. The magnitude of streamlines is enhanced for lower choice of Darcy Forchheimer porous medium but magnitude of isothermal line increases as Darcy Forchheimer parameter increases.