A method of fluid dynamic analysis based on Navier-Stokes equation and conservation equation on fluid mechanical energy. (June 2017)

• Record Type: Journal Article
• Authors: Liu, W.; Wang, J.B.; Liu, Z.C.
• Is Part Of: International journal of heat and mass transfer. Volume 109(2017)
• Page Start: 393
• Page End: 396
• Publication Date: 2017-06
• Subjects: Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2017.02.012
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: A constitutive relation was found to describe the ability of the fluid to do work. A conservation equation was established to find fluid velocity and pressure. A method for CFD was provided to analyze transport processes in various areas. Abstract: When people solved the Navier-Stokes equation to find fluid velocity and pressure, they usually use the SIMPLE algorithm developed by Patankar and Spalding. Due to lack of independent partial differential equation for the pressure, the Navier-Stokes equation is solved numerically by pressure correction and iteration methods. In this paper, however, based on constructing a constitutive relation between fluid power flux and pressure gradient, a conservation equation on fluid mechanical energy was established. Thus, the Navier-Stokes equation can be solved by directly coupling the proposed conservation equation to find velocity and pressure in the flow field.