Abstract
In present investigation, the axisymmetric analysis for the Casson nano-material has been analyzed due to two parallel stretchable disks. The novel thermophoresis and Brownian aspects of nanofluid are studied by using Buongiorno nanofluid model. Similarity transformations are applied on the system of governing equations that renovate it into the problem into proper dimensionless form. The homotopic procedure is suggested for the determination of solution. The role of numerous parameters on dimensionless velocity and temperature are observed in very effective way. To study the effect of Brownian motion and thermophoresis diffusion parameter, Buongiorno model is adopted. Radial and axial velocity profile has increasing behavior for stretching ratio and Casson parameter. As the value of Biot number and thermophoresis parameter enhanced, the concentration profile also enhances and concentration profile declines due to increase in value of Brownian motion parameter. Temperature profile decreases as the value of Reynolds number and Prandtl number increased. The values of Sherwood number, Nusselt number and Skin friction are calculated at upper and lower disk to understand the behavior of stretching disks.