Physical impact of nano-layer on nano-fluid flow due to dispersion of magnetized carbon nano-materials through an absorbent channel with thermal analysis

Abstract

The current study intends to analyze the significance of the nano-layer on Newtonian fluid consisting of carbon nano-materials has been considered. The special absorbent channel with moving porous walls under the effect of external MHD is manifested. Mathematical modeling of the concerning problem is done in the form of the partial differential structure under the boundary layer theory with effective structures of thermophysical properties. The core features of capitalized induced carbon nano-particles along with base fluid are presented by empirical relations and utilized during the formulation of work. Attained expressions are transmuted because of dimensionless ODE's by obliging transformation approach. The solution of attained ODE's is heeded with the R-K method along with the shooting procedure. Using applicable similarity transforms, the governing equations are converted into a system of nonlinear ordinary differential equations which are solved by using the 4th-order R-K (Runge-Kutta) technique together with shooting methodology. The phenomena of nano-layer have been also modeled mathematically. The motivation behind this section is to demonstrate the behavior of involved parameters on velocity and temperature profiles. A meticulous table is presented in which the effects of involved parameters on shear stress and heat transfer rate are discussed. Specially presented the impact of the thickness of the nano-layer and radius of the particle on the temperature profile. Heat transfer rate increases due to an increase in the thickness of nano-layer. Inverse proportionality exists between the radius of nano-particle and thermal conductivity. The consequences of this research may be advantageous to the applications of biotechnology and industrial motive.