Comsolic solution of an elliptic cylindrical compressible fluid flow

Area of Science:

• Fluid Dynamics
• Heat Transfer
• Computational Physics

Background:

• Understanding heat transfer in viscous, compressible, laminar flow is critical for various engineering applications.
• Elliptic cylinders are common geometries in fluid dynamics and heat exchange systems.
• Permeability introduces complexities in flow and thermal behavior.

Purpose of the Study:

• To investigate heat transfer effects coupled with viscous compressible laminar flow.
• To analyze velocity, pressure, and temperature distributions around a permeable elliptic cylinder.
• To determine the drag coefficient under specific flow conditions.

Main Methods:

• Numerical simulation using COMSOL Multiphysics for mathematical modeling.
• Application of the Backward-Differentiation-Formula for numerical handling.
• Statistical elaboration of mesh entities generated in COMSOL.

Main Results:

• Maximum velocity of 2.22 m/s observed at the cylinder walls.
• Pressure profiles show maxima at elliptic corners, influenced by heat transfer.
• Temperature is maximal at walls, increasing towards the lower boundary; isothermal contours are concentrated near walls.
• A gradual decrease in drag coefficient was observed.

Conclusions:

• The study provides detailed insights into heat transfer characteristics of viscous compressible laminar flow around permeable elliptic cylinders.
• Results offer valuable data for enhancing designs in applications like air furnaces and automobile cooling systems.
• The numerical approach effectively captures complex flow and thermal phenomena.