Analysis of Flow and Heat Transfer Inside Nonisothermal Squeezed Thin Films

ABSTRACT

Flow and heat transfer are analyzed inside a nonisothermal squeezed thin film. The governing Equations are dimensionalized and transformed to similarity or nonsimilarity Equations for a certain time variation of the thin film thickness. Both analytical and numerical approaches are utilized in solving the different forms of the transformed energy equation. It is found that while thin films can support larger loads under larger squeezing velocities, they may transfer heat at lower rates as the squeezing velocity increases. Moreover, the effects of thermal squeezing parameter on local Nusselt numbers and temperature profiles are discussed for various thermal boundary conditions. A correlation for a critical value of the squeezing velocity is obtained, below which heat transfer across squeezed thin films can be transferred efficiently.