@article{scholars748, note = {cited By 7}, volume = {39}, year = {2009}, title = {Toward a new simple analytical formulation of Navier-Stokes equations}, journal = {World Academy of Science, Engineering and Technology}, pages = {197--201}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-78651527260&partnerID=40&md5=554b26c407d5dfef86bdbba6ec6cdfe6}, 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}, 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. {\^A}{\copyright} 2009 WASET.ORG.}, author = {Nugroho, G. and Ali, A. M. S. and Karim, Z. A. A.}, issn = {2010376X} }