Coupled Closed Form Solution Of CuO-water Nanofluid Flow And Heat Transfer Within The Boundary Layer Domain

The purpose of this paper is to study the heat transfer of nanofluids flowing along the surface of a shrinking / stretched thin plate in the presence of thermal radiation,and we obtain the exact solutions of the fundamental equations of hydrodynamics with dual properties.In order to explore the above problems in detail,firstly,we determine the governing partial differential equations composed of continuity equation,momentum equation and energy equation through a given fluid model,and we use the thermal radiation term to define the boundary conditions of convective heat transfer.Then,we use appropriate similar transformation to replace the velocity and temperature terms in momentum equation and energy equation,The partial differential equations of momentum equation and energy equation are transformed into dimensionless nonlinear ordinary differential equations.Furthermore,we can obtain the solutions of dimensionless nonlinear ordinary differential equations according to incomplete gamma function.Finally,by discussing different physical parameters(i.e.mass transfer parameters,stretching parameters,porous media parameters,Prandtl number,Biot number),volume fraction and shape factor of nanoparticles,We analyze their effects on velocity and temperature and show them in the form of curves.For the friction coefficient and Nusselt number,we show them in the form of tables.The difficulty of this paper is to solve the analytical solutions of higher-order nonlinear ordinary differential equations.Previous researchers used the fourth-fifth order Runge-Kutta-felberg method and shooting method can only get the numerical solutions of the equations,and some researchers used the homotopy analysis method and domain decomposition method(ADM),but these two methods can only obtain the analytical solutions in the form of series,In this paper,we use the incomplete Gamma function to represent the analytical solution of the equation.The solving process is more concise,and the form of the solution is more convenient for subsequent analysis.