Dual nature solutions of water-based carbon nanotubes along a shrinking surface in the presence of thermal radiation and viscous dissipation

The current analysis is performed to find the dual nature solutions of MHD (magnetohydrodynamic) water-based carbon nanotubes (CNTs) over a shrinking sheet. This phenomenon contains other important effects such as: laminar, incompressible, porous media, thermal radiation and viscous dissipation. The sheet is shrinking along x-axis and fluid is dealing for the boundary domain. The governing partial differential equations are transformed to nonlinear system of ordinary differential equation by using appropriate similarity transformations. This mathematical model is solved and obtained the closed form dual nature solutions in special hyper geometric function. Results of velocity, temperature, skin friction and Nusselt number are plotted against variation of different emerging parameters.