On Lie symmetry mechanics for Navier–Stokes equations unified with non-Newtonian fluid model: A classical directory

Khalil Ur Rehman, M.Y. Malik

Type: Article

Publication Date: 2019-08-17

Citations: 15

DOI: https://doi.org/10.1016/j.physa.2019.122469

View Publication

Locations

Physica A Statistical Mechanics and its Applications - View

Similar Works

Action	Title	Year	Authors
+	On Infinite-dimensional Lie Algebra of Navier–Stokes Equation and Conservation Laws	2023	Manjit Singh
+ PDF Chat	Special Issue on Symmetry and Fluid Mechanics	2020	R. Ellahi
+	Consideration of Lie Symmetry Groups in Computational Fluid Dynamics	2018	Ersin Ozbenli
+ PDF Chat	From Navier-Stokes to Einstein	2012	Irene Bredberg Cynthia Keeler Vyacheslav Lysov Andrew Strominger
+	On the solution of hydrodynamical equations via Lie groups	1983	O.P. Bhutani Poornima Mital
+	Symmetry solutions and conservation laws of a (3+1)-dimensional generalized KP-Boussinesq equation in fluid mechanics	2020	Letlhogonolo Daddy Moleleki Innocent Simbanefayi Chaudry Masood Khalique
+	Lecture notes on Navier-Stokes-Fourier system	2016	Antonín Novotný
+	A Novel Lie Group Classification Method for Generalized Cylindrical KdV Type of Equation: Exact Solutions and Conservation Laws	2019	Hanze Liu Chenglin Bai Xiangpeng Xin Lijun Zhang
+	Exact solutions of Euler equations of ideal gasdynamics via Lie group analysis	2007	V. D. Sharma R. Radha
+	Equivalence transformations applied to exterior calculus approach for finding symmetries: an example of non-Newtonian fluid flow	1999	Mehmet Pakdemi̇rli̇ Muhammet Yürüsoy
+	On a Navier-Stokes-Allen-Cahn model with inertial effects	2019	Gianluca Favre Giulio Schimperna
+	Field theoretic formulation of fluid mechanics according to the geometric algebra	2023	D Sen
+	Lie symmetry analysis and conservation law of variable-coefficient Davey–Stewartson equation	2018	Guang-Mei Wei Ying-Lin Lu Ya-Qin Xie Wen-Xin Zheng
+	Differential invariants for flows of fluids and gases	2020	Anna Duyunova Valentin Lychagin Sergey Tychkov
+	Lie symmetry analysis, new group invariant for the (3 + 1)-dimensional and variable coefficients for liquids with gas bubbles models	2021	Mohamed R. Ali R. Sadat
+	Operator Splitting for Navier-Stokes and Chorin-Marsden Product Formula	1993	J. Thomas Beale Claude Greengard Enrique Thomann
+	Port-Hamiltonian modeling of ideal fluid flow: Part I. Foundations and kinetic energy	2021	Ramy Rashad Federico Califano F. Schüller Stefano Stramigioli
+	A systematic study on diversified Newtonian and non-Newtonian fluids via numerous mathematical techniques	2025	Mamta Kapoor
+	On Symmetry Breaking for the Navier–Stokes Equations	2024	Tobias Barker Christophe Prange Jin Tan
+	Lie-group analysis of boundary-layer equations of non-Newtonian fluids	1998	Muhammet Yürüsoy Mehmet Pakdemi̇rli̇

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	Symmetry Analysis for the 2D Aw-Rascle Traffic-Flow Model of Multi-Lane Motorways in the Euler and Lagrange Variables	2023	Andronikos Paliathanasis
+ PDF Chat	Bifurcation Analysis Software and Chaotic Dynamics for Some Problems in Fluid Dynamics Laminar–Turbulent Transition	2023	Nikolay M. Evstigneev N. A. Magnitskii
+	Generalized stokes’ flow and radiative heat transfer model of a non-Newtonian fluid in a darcy porous medium subject to Navier’s slip conditions on the penetrable porous boundary: Group theoretical and compatibility analysis	2021	Taha Aziz

Works Cited by This (11)

Action	Title	Year	Authors
+	On axisymmetric flow of Sisko fluid over a radially stretching sheet	2012	Masood Khan Azeem Shahzad
+	Fluid flow over a nonlinearly stretching sheet	2006	K. Vajravelu John R. Cannon
+	Symmetry Methods for Differential Equations: A Beginner's Guide	2000	Peter E. Hydon
+ PDF Chat	Lie Symmetries of Differential Equations: Classical Results and Recent Contributions	2010	Francesco Oliveri
+ PDF Chat	Flow of a Williamson fluid over a stretching sheet	2013	S. Nadeem S.T. Hussain Changhoon Lee
+ PDF Chat	Boundary Layer Theory and Symmetry Analysis of a Williamson Fluid	2012	Yiğit Aksoy Tasawar Hayat Mehmet Pakdemi̇rli̇
+	Boundary Layer Flow of Williamson Fluid with Chemically Reactive Species using Scaling Transformation and Homotopy Analysis Method	2014	Najeeb Alam Khan Sidra Khan Fatima Riaz
+	Encountering heat and mass transfer mechanisms simultaneously in Powell-Erying fluid through Lie symmetry approach	2017	Khalil Ur Rehman Noor Ul Saba M.Y. Malik Aneeqa Ashfaq Malik
+ PDF Chat	Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness	2017	Lin Liu Fawang Liu
+	Symmetries and Differential Equations	1989	George W. Bluman Sukeyuki Kumei