eprintid: 748 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/00/07/48 datestamp: 2023-11-09 15:48:53 lastmod: 2023-11-09 15:48:53 status_changed: 2023-11-09 15:23:05 type: article metadata_visibility: show creators_name: Nugroho, G. creators_name: Ali, A.M.S. creators_name: Karim, Z.A.A. title: Toward a new simple analytical formulation of Navier-Stokes equations ispublished: pub keywords: Analytical formulation; Analytical solutions; Constant pressure gradient; Incompressible Navier Stokes equations; Laminar experiments; Mathematical derivation; Nonreacting flow; Potential function; Three-dimensional Navier-Stokes equations, Fluid dynamics; Turbulent flow; Viscous flow, Navier Stokes equations note: cited By 7 abstract: Incompressible Navier-Stokes equations are reviewed in this work. Three-dimensional Navier-Stokes equations are solved analytically. The Mathematical derivation shows that the solutions for the zero and constant pressure gradients are similar. Descriptions of the proposed formulation and validation against two laminar experiments and three different turbulent flow cases are reported in this paper. Even though, the analytical solution is derived for nonreacting flows, it could reproduce trends for cases including combustion. © 2009 WASET.ORG. date: 2009 official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-78651527260&partnerID=40&md5=554b26c407d5dfef86bdbba6ec6cdfe6 full_text_status: none publication: World Academy of Science, Engineering and Technology volume: 39 pagerange: 197-201 refereed: TRUE issn: 2010376X citation: Nugroho, G. and Ali, A.M.S. and Karim, Z.A.A. (2009) Toward a new simple analytical formulation of Navier-Stokes equations. World Academy of Science, Engineering and Technology, 39. pp. 197-201. ISSN 2010376X