**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32731

##### Toward a New Simple Analytical Formulation of Navier-Stokes Equations

**Authors:**
Gunawan Nugroho,
Ahmed M. S. Ali,
Zainal A. Abdul Karim

**Abstract:**

**Keywords:**
Navier-Stokes Equations,
potential function,
turbulent flows.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1063004

**References:**

[1] J.C. Kalita, A.K. Dass, and N. Nidhi, "An Efficient Transient Navier- Stokes Solver on Compact Nonuniform Space Grids," Journal of Computational and Applied Mathematics 214, 2008, pp. 124 - 162.

[2] Y. He and A. Wang, "A Simplified Two-Level Method for the Steady Navier-Stokes Equations," Comput. Methods Appl. Mech. Engrg. 197, 2008, pp. 1568 - 1576.

[3] J.D. Gibbon, D.R. Moore, and J.D. Stuart, "Exact, Infinite Energy, Blow up Solutions of the Three-Dimensional Euler Equations," Nonlinearity 16, 2003, pp. 1823 - 1931.

[4] P. Constantin, G. Gallavoti, A.V. Kazhikov, Y. Meyer, and S. Ukai, Mathematical Foundation of Turbulent Viscous Flows, Springer-Verlag, Berlin Heidelberg, 2003.

[5] P. Penel and M. Pokorny, "Some New Regularity Criteria for the Navier-Stokes Equations Containing Gradient of the Velocity," Applications of Mathematics 49, No. 5, 2004, pp. 483 - 493.

[6] Y. Zhou, "On a Regularity Criterion in Terms of the Gradient Pressure for the Navier-Stokes Equations in," Z. angew. Math. Phys 57, 2006, pp. 384 - 392.

[7] S.K. Kao, "An Analytical Solution for Three-Dimensional Stationary Flows in the Atmospheric Boundary Layer over Terrain," Journal of Applied Meteorology, Vol. 20, 1980.

[8] V. Christianto and F. Smarandache, "An Exact Mapping from Navier- Stokes Equation to Schrodinger Equation via Riccati Equation," Progress in Physics, Vol. 1, 2008.

[9] F. Kamran, C. Zu-Chi, J. Xiaoda, and Y. Cheng, "Similarity Reduction of a (3+1) Navier-Stokes System," Engineering Computations: International Journal for Computer-Aided Engineering and Software, Vol. 23, No. 6, 2006, pp. 632 - 643.

[10] A.V. Meleshko, "A Particular Class of Partially Invariant Solutions of the Navier-Stokes Equations," Nonlinear Dynamics 36, 2004, pp. 47 - 68.

[11] K. Thailert, "One Class of Regular Partially Invariant Solutions of the Navier-Stokes Equations," Nonlinear Dynamics, 2005.

[12] E.P. Symons and T.K. Labus, "Experimental Investigation of an Axisymmetric Fully Developed Laminar Free Jet," NASA Technical Notes, D-6304, 1971.

[13] T. Eappen, "Exit Region of Submerged Laminar Jets," Thesis, Submitted to the Faculty of Graduate Studies, Department of Mechanical Engineering, University of Windsor, Ontario, Canada, 1991.

[14] C. Farrel and A.K.S. Iyengar, "Experiments on the Wind Tunnel Simulation of Atmospheric Boundary Layers," Journal of Wind Engineering and Industrial Aerodynamics 79, pp. 11 - 35, 1999.

[15] A. Cuoci, Frassoldati, G. Buzzi Ferraris, T. Faravelli, and E. Ranzi, "The Ignition, Combustion and Flame Structure of Carbon Monoxide/Hydrogen Mixtures. Note 2: Fluid Dynamics and Kinetic Aspects of Syngas Combustion," Int. J. Hydrogen Energy, 2007.