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Dynamics of non-Newtonian nanoliquid with quadratic thermal convection

  • B. Mahanthesh , T. V. Joseph and K. Thriveni
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Mathematical Fluid Mechanics
This chapter is in the book Mathematical Fluid Mechanics

Abstract

In this chapter, the non-Newtonian nanoliquid (Jeffrey nanoliquid) flow driven by flexible surface exposed to quadratic thermal radiation and quadratic Boussinesq approximation is examined. The Brownian movement and thermophoretic characteristics are preserved. The influence of the inclined magnetic field, convective and second-order velocity slip boundary conditions are also accounted. The dimensionless distributions of velocity, temperature, nanoparticle concentration, and rate of heat transfer are simulated by solving the system of nonlinear differential equations utilizing the finite difference method (FDM). Besides, a statistical analysis is also performed to enhances the understanding of heat transport behavior. The surface and streamline plots are sketched to analyse various flow fields and heat transport. It is found that larger Deborah number, quadratic thermal radiation, temperature ratio, and nonlinear convection aspect due to concentration results in heat transport enhancement. The reduced multivariate model for the heat transport rate is obtained by eliminating the quadratic terms of thermophoretic and Brownian motion aspects. Further, the heat transport rate is found to be more sensitive to quadratic thermal radiation rather than the zig-zag motion of nanoparticles and thermophoretic characteristics.

Abstract

In this chapter, the non-Newtonian nanoliquid (Jeffrey nanoliquid) flow driven by flexible surface exposed to quadratic thermal radiation and quadratic Boussinesq approximation is examined. The Brownian movement and thermophoretic characteristics are preserved. The influence of the inclined magnetic field, convective and second-order velocity slip boundary conditions are also accounted. The dimensionless distributions of velocity, temperature, nanoparticle concentration, and rate of heat transfer are simulated by solving the system of nonlinear differential equations utilizing the finite difference method (FDM). Besides, a statistical analysis is also performed to enhances the understanding of heat transport behavior. The surface and streamline plots are sketched to analyse various flow fields and heat transport. It is found that larger Deborah number, quadratic thermal radiation, temperature ratio, and nonlinear convection aspect due to concentration results in heat transport enhancement. The reduced multivariate model for the heat transport rate is obtained by eliminating the quadratic terms of thermophoretic and Brownian motion aspects. Further, the heat transport rate is found to be more sensitive to quadratic thermal radiation rather than the zig-zag motion of nanoparticles and thermophoretic characteristics.

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