New modeling and analytical solution of fourth grade (non-Newtonian) fluid by a stretchable magnetized Riga device

The aim of this paper is to examine the influence of heat source/sink on boundary layer flow of a fourth-grade liquid over a stretchable Riga plate on taking account of induced magnetic field and mixed convection. Analysis of mass and heat transport is studied through modified Fourier heat flux model. The governing flow issue is demonstrated with the help of momentum, energy, temperature and concentration equation. The modeled equations are reduced into nondimensional ODEs by opting suitable similarity transformations. The analytic solutions are discussed by means of the optimal technique of homotopy analysis. The influence of several nondimensional parameters on velocity, thermal and concentration gradients are deliberated by using suitable graphs. Also, the skin friction is discussed with the help of graphs. The result outcomes reveal that, velocity of fluid diminishes for advanced values of viscoelastic parameter and fourth-grade liquid parameter but contrary movement is seen for third grade fluid parameters. Fluid temperature boosts up for thermal relaxation parameter and concentration is abridged for rising values of solutal concentration parameter and Schmidt number.

Automated summary

This paper examines the influence of heat source/sink on boundary layer flow of a fourth-grade liquid over a stretchable Riga plate, considering induced magnetic field and mixed convection. The analysis of mass and heat transport is conducted using a modified Fourier heat flux model. The governing flow issue is demonstrated by applying momentum, energy, temperature, and concentration equations. The modeled equations are then reduced into nondimensional ODEs using suitable similarity transformations. The analytic solutions are obtained by employing the optimal technique of homotopy analysis. The influence of various nondimensional parameters on velocity, thermal, and concentration gradients is discussed using graphs, and the skin friction is also analyzed. The results show that the velocity of the fluid decreases with increasing values of the viscoelastic parameter and fourth-grade liquid parameter, but exhibits opposite behavior for the third grade fluid parameters. The fluid temperature increases with the thermal relaxation parameter, while the concentration decreases for higher values of the solutal concentration parameter and Schmidt number.