Heat transfer in viscous flow over a heated cylinder of nonuniform radius

Abstract

A heated cylinder of a variable radius and porous surface is moving (stretching and shrinking) with variable velocity in a stagnant fluid. Heat transfer in the flow of viscous fluid from such a cylinder is investigated in this paper. A generalized model is simulated and it presents the diffusion of heat inflow over a cylinder of nonuniform (uniform) diameter, whereas, the porous and variably heated cylinder is stretched (shrunk) with linear and nonlinear (uniform) velocity. The system of nonlinear coupled ordinary differential equations (ODE’s) and boundary conditions (BC’s) is solved numerically for different values of the existing governing parameters. Field quantities, the rate of heat transfer (at the surface of the cylinder), and skin friction are evaluated numerically and the new data is shown in different graphs and tables. For the sake of validity and correctness, the modeled problem and its output are compared with published work in the open literature. Moreover, the uniform, linear and nonlinear nature of injection (suction), stretching (shrinking) velocities, geometry, and surface temperature are explicitly considered and their behavior is frequently demonstrated on the field variables and quantities of physical interest. The validity of the modeled problem is checked, however, we obtained results for both linear and nonlinear (uniform) injection (suction) and stretching (shrinking) velocities. It is confirmed that the nonlinear and nonuniform nature of a cylinder’s surface, injection (suction), stretching (shrinking) velocities, the size of a cylinder, and surface temperature, played a significant role in the variation of all field quantities, skin friction, and the rate of heat transfer.

Keywords

• Heated
• Porous
• Stretched
• Shrunk cylinder of nonuniform radius