Ying-Qing Song

TL;DR: In this paper, a dimensionless equation (ODE BVP) was numerically solved in MATLAB using the text bvp4c in-built solver for the case of A l 2 O 3 /C u nanoparticles, the governing equations that model the transport phenomena along a vertical surface were non-dimensionalized.

TL;DR: In this paper, the thermal assessment of Sutterby nanofluid containing the gyrotactic microorganisms with solutal and Marangoni boundaries is discussed, where the applications of melting phenomenon and thermal conductivity are also considered.

TL;DR: In this article, the authors report an unsteady and incompressible flow of Williamson nanoliquid in presence of variable thermal characteristics are persuaded by a permeable stretching cylinder.

TL;DR: In this article, the stagnation point flow of radiative micropolar nanofluid over an off centered rotating disk with applications of motile microorganisms is reported. And the appropriate transformations are utilized to reduce the partial differential equations into dimensionless forms.

TL;DR: In this article, the system of dimensionless form of ordinary differential equations (ODE's) are obtained by applying appropriate transformations to the formulated problem defined by the PDEs. And these reduced ODE's are tackled numerically by using Runge-Kutta-based shooting process.