Slip temperature oscillation, turbulent magnetic-radiation and heat frequency effects on unsteady nanofluid along horizontal stretching circular cylinder: Darcy-Forchheimer nonlinear model

Slip temperature oscillation, slip concentration, turbulent electromagnetic radiation and Brownian motion effects on transient stability of heat and mass transfer is objective of this research. The Darcy Forchheimer magnetic nanofluid flow along horizontal stationary stretching circular cylinder with thermal radiation effects is used. The purpose of this study is to analyze the steady heating rate, amplitude of mass rate, oscillating flow behavior of nanofluid, and periodic oscillation in skin friction. The transformed mathematical equations are derived by using dimensionless variables for thermo physical factors. The smooth and similar programing algorithm is developed in FORTRAN language (Lahey-95) by using primitive and oscillatory stokes transformations. The implicit finite-difference approach on primitive steady and oscillating model is applied with Gaussian elimination method numerically. The steady fluid velocity function and steady temperature-concentration functions are plotted for some physical parameters within defined boundary values. The steady results are again used to display the transient friction-rate, periodic heat-rate and oscillating mass-rate along α = π/4 and α = π/3 positions of horizontal stationary circular cylinder. This work based on specific rage of key parameters such as thermal-slip 0.1 ≤ σ1 ≤ 1.0, concentration slip 0.1 ≤ σ2 ≤ 1.5, heat generation 0.1 ≤ δ ≤ 7.0, radiation 1.0 ≤ Rd ≤ 10.0, Darcy number 0.1 ≤ Fr ≤ 2.0, thermophoresis 0.1 ≤ NT ≤ 1.0, reaction rate 0.1 ≤ γ ≤ 1.0, and Prandtl 0.1 ≤ Pr ≤ 10.0. The increasing amplitude of velocity and temperature slip distribution grows well as diffusion-convection parameter and thermal radiation increases at both angles. The slip temperature and slip concentration grows significantly as convective parameter increases. It is noted that impact of thermophoresis and heat generation enhances the oscillations and amplitudes of mass and heat transmission along horizontal stationary circular cylinder as porous effect decreases. It is noted that the turbulence and time-mean fluctuation in skin friction increases as Darcy parameter increases. High amplitude in fluctuating heat transfer is depicted for large Prandtl values.