Dear Colleagues,

The recent study related to the Newtonian and non-Newtonian fluids with their valuable importance in engineering and in industry have been a source of inspiration to the researchers during few decade. The research interest and practical applications have produced a considerable interest in obtaining analytical or numerical solutions to the fluid flow problems. Some of their known applications are biological fluid movements, wire coating, food processing, plastic manufacturing, and so forth. In recent years, numerous researchers have been working on the flow and heat transfer characteristics of Newtonian and non-Newtonian fluids. However, many theoretical analyses, experimental studies, and practical applications remain to be further explored.

The nonlinear models can be used to model various physical phenomenons happening around us. During the last few decades, the study of non-linear evolution equations has received much attention as these equations play an important role in the modeling of various physical problems in diverse fields of nonlinear science, such as fluid mechanics, plasma physics, chemical physics, nuclear physics, solid-state physics, geochemistry and optical fiber. In studding the nonlinear models, we come to know about the underlying process and the concerned parameters importance which cannot be understood at a cursory look on the model. It is important to note that determining closed form solutions of these equations is a very difficult task and only in precise cases one can obtain the solution explicitly. The numerical method play important role to obtain the solution of nonlinear equations or systems of nonlinear equations when we are not able to find the solution in closed form. In addition to this, the study of nonlinear and super- nonlinear traveling waves, solitons, shock waves and water waves, etc. has experienced a revolution over past few decades. In various astrophysical situations, such as photoionized gas, stellar winds, supernova explosions, collisions between high-velocity clumps of interstellar gas, etc. Shock processes can naturally take place.  Shock from a stellar pulsation or supernova explosion passing outward through a stellar envelope or perhaps a shock emanating from a point source such as a man-made explosion in the Earth's atmosphere or an impulsive flare in the Sun's atmosphere, have great importance in astrophysics and space sciences.

The aim of this Special Issue is to publish the collection of the recent developments related to the fluid flows problems and Lie symmetry methods in all fields of physical sciences, astrophysics and engineering. The Special Issue welcomes papers in the fields of visualization, identification, analysis, and assessment of symmetry/asymmetry of the flow phenomena using computational methods, Lie symmetry methods, and analytical methods for non-linear differential equations, mathematical physics, and their applications on modeling physical, chemical, biological, social, and economical systems together with engineering applications. Theoretical and experimental studies, numerical solutions of the ordinary and partial differential equations related to nonlinear wave propagation are also welcomed.

Topics covered include:

• Symmetry analysis
• Lie group and Lie algebra methods applied to problems in fluid dynamics
• Mathematical modeling of flow problems and its solutions
• Newtonian and Non-Newtonian fluids
• Reactive transport in porous media
• Shock Waves and Blast Waves
• Magnetohydrodynamics and Electrodynamics
• Rotating Flows
• Two Phase and multiphase Flows
• Radiative heat transfer
• Magnetic field
• PDEs in connection with fluid dynamics
• Dimensional analysis and similarity applied to problems in fluid dynamics
• Development of experimental and computational fluid dynamics methods
• Flow structure

Please kindly note that the topics of study are not limited to the above topics. If you can bring a fresh perspective to the research of symmetry/asymmetry based on experimental or computational fluid dynamics, you are particularly invited to submit the article to this issue.

Please note that all submitted papers must be within the general scope of the Symmetry journal.

Dr. Gorakh Nath
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.