Heat Transfer Analysis of Bingham Fluid Flow in the Entrance Region of Concentric Annuli with Outer Cylinder Rotating

The aim of this study is to analyze the heat transfer characteristics of Bingham fluid flow in the entrance region of concentric annuli, where the inner cylinder remains stationary and the outer cylinder is in rotation. This rotational motion of the outer cylinder induces the flow within the annular region. The governing equations for this flow are solved using a robust numerical technique known as the finite difference method. This investigation focuses on the transient expansion of thermal and hydrodynamic boundary layers within the concentric annuli, considering different boundary conditions: one section being isothermal while another is adiabatic. The outer cylinder is assumed to rotate at a constant angular velocity, while the inner cylinder is kept stationary. A finite difference analysis is employed to obtain velocity distributions, pressure drops, and temperature variations along the radial direction. Some of the observations are increase in the aspect ratio (M) leads to a corresponding rise in axial velocity for all examined Bingham number (B) variations and temperature is seen to rise as the Bingham numeral B and aspect ratio M increases. This comparative analysis helps validate the current investigation's results and confirms their accuracy and reliability.