Abstract
The present article investigates heat transfer and pseudoplastic nanomaterial liquid flow over a vertical thin cylinder. The Buongiorno model is used for this analysis. The problem gains more significance when temperature-dependent variable viscosity is taken into account. Using suitable similarity variables, nonlinear flow equations are first converted into ordinary differential equations. The generating structure is solved by the MATLAB BVP4C algorithm. Newly developed physical parameters are focused. It is observed that the heat transfer rate and the skin friction coefficient is increased remarkably because of mixing nano-particles in the base fluid by considering γb=1, 2, 3, 4 and λ=1, 1.5, 2, 2.5, 3. It is found that the temperature field increases by inclining the values of thermophoresis and Brownian motion parameters. It is also evaluated that the velocity field decreases by increasing the values of the curvature parameter, Weissenberg number and buoyancy ratio characteristics.
Highlights
A fluid that does not obey the viscosity law of Newton is known as a non-Newtonian fluid
Prasher et al [3] confirmed that convection is a motive for increasing the thermal conductivity of nanomaterials liquid due to the Brownian motion of the nanoparticles
Wang et al [4] confirmed that the thermal conductivity growth dependence could be very vulnerable due to Brownian motion
Summary
A fluid that does not obey the viscosity law of Newton is known as a non-Newtonian fluid. Buongiorno model is utilized in the investigation of Brownian movement and thermophoresis impact on mass, flow, and transport of heat from the considered surface. Kuznetsov et al [2] introduced the influence of nanomaterials liquid on the flow of natural convection through a flat surface They reveal that decreasing the Nusselt number is a reduction feature of each of the succeeding characteristics: Brownian motion characteristic and buoyancy ratio characteristic. Prasher et al [3] confirmed that convection is a motive for increasing the thermal conductivity of nanomaterials liquid due to the Brownian motion of the nanoparticles. From the above analysis and discussion, we conclude that this is an important area of fluid mechanics; we decided to study the Carreau-Yasuda nanofluid flow over a vertical slender cylinder. We obtained results for various parameters, i.e., curvature, Prandtl number, thermophoresis, buoyancy ratio, Weissenberg number, Brownian motion and Lewis number on flow
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