On the Hydrodynamics and Heat Convection of an Impinging External Flow Upon a Cylinder with Transpiration and Embedded in a Porous Medium

• Published in: Transport in porous media Vol. 120; no. 3; pp. 579 - 604
• Main Authors: Alizadeh, Rasool, Rahimi, Asghar B., Karimi, Nader, Alizadeh, Ahmad
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.12.2017; Springer Nature B.V
• Subjects: Circular cylinders; Civil Engineering; Classical and Continuum Physics; Computational fluid dynamics; Dimensionless numbers; Earth and Environmental Science; Earth Sciences; Fluid flow; Geotechnical Engineering & Applied Earth Sciences; Heat; Heat transfer; Hydrodynamics; Hydrogeology; Hydrology/Water Resources; Industrial Chemistry/Chemical Engineering; Mathematical analysis; Nonlinear differential equations; Nonlinear equations; Porosity; Porous materials; Porous media; Reynolds number; Shear stress; Stagnation; Thermal energy; Transpiration; Porous media; Semi-similar solution; Stagnation-point flow
• ISSN: 0169-3913; 1573-1634
• DOI: 10.1007/s11242-017-0942-9

This paper extends the existing studies of heat convection by an external flow impinging upon a flat porous insert to that on a circular cylinder inside a porous medium. The surface of the cylinder is subject to constant temperature and can include uniform or non-uniform transpiration. These cylindrical configurations are introduced in the analyses of stagnation-point flows in porous media for the first time. The equations governing steady transport of momentum and thermal energy in porous media are reduced to simpler nonlinear differential equations and subsequently solved numerically. This reveals the dimensionless velocity and temperature fields of the stagnation-point flow, as well as the Nusselt number and shear stress on the surface of the cylinder. The results show that transpiration on the surface of the cylinder and Reynolds number of the external flow dominate the fluid dynamics and heat transfer problems. In particular, non-uniform transpiration is shown to significantly affect the thermal and hydrodynamic responses of the system in the circumferential direction. However, the permeability and porosity of the porous medium are found to have relatively smaller influences.