Approximate Analytic Solution of a Self-Similar Piston Moving in an Inhomogeneous Medium

Approximate Analytic Solution of a Self-Similar Piston Moving in an Inhomogeneous Medium

Dr. B.N.Prasad

Contact

Approximate Analytic Solution of a Self-Similar Piston Moving in an Inhomogeneous Medium

Article Fingerprint

ReserarchID

SFR170K5

Approximate Analytic Solution of a Self-Similar Piston Moving in an Inhomogeneous Medium Banner

AI TAKEAWAY

Connecting with the Eternal Ground

Abstract

Self-similar motion for the flow between a piston and strong shock propagating in a non uniform ideal gas at rest has been studied. The solution to the problem is similar to that of hypersonic flows past the power law bodies. The gas ahead of the shock is assumed to be uniform and at rest. This is considered as a particular case of radiative piston problem. The shock is assumed to be very strong and propagating in a medium at rest in which density obeys power laws. This problem with spherical symmetry has got importance in astrophysics. To solve the gas dynamics problem, Chernyii’s expansion techniques have been used in which flow variables are expanded in a series of powers of ε, the density ratio across the strong shock. The approximate analytic solution has been obtained in closed form to the zeroth approximation. The problem discussed belongs to the self-similar motion of the first kind. The resulting analytic solution gives the flow variables distribution for plane, cylindrical, and spherical symmetry for different cases which satisfy the similarity conditions with accurate trend and values.

References

9 Cites in Article

Reference Format

L Sedov (1945). - Equations for Steady One-Dimensional Compressible Fluid Flow.
M Rogers (1957). Analytic Solutions for the Blast-Wave Problem with an Atmosphere of Varying Density..
G Taylor (1950). The formation of a blast wave by a very intense explosion.
P Bhatnagar,Purshotam Lal (1965). Propagation of a spherical shock in aninhomogeneous selfgravitating or non-gravitating system.
N Kochina,N Melnikova (1958). On the unsteady motion of the gas driven outwards by a piston, neglecting the counter pressure.
M Rogers (1956). The propagation and structure of shock waves of varying strength in a self-gravitating gas sphere.
K Wang (1922). Approximate Solution of a Plane Radiating ``Piston Problem''.
P Sachdev,S Ashraf (1970). Approximate analytical solution of spherical, cylindrical and plane piston problems in an inhomogeneous medium.
N Krashaninikova (1955). On the unsteady motion of a gas displaced by a piston.

Download References

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. B.N.Prasad. 2020. \u201cApproximate Analytic Solution of a Self-Similar Piston Moving in an Inhomogeneous Medium\u201d. Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 20 (GJSFR Volume 20 Issue A6).

More Citation Formats

Select Citation Style:

Download Citation

GJSFR Volume 20 Issue A6

Explore Journals Explore Volume Read This Issue

Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Not Found

Classification

GJSFR-A Classification FOR Code: 240101

Submission ReceivedApril 12, 2020
Peer Review Double Blind
Handling Editor
Accepted May 8, 2020
Published May 19, 2020

Version of record

v1.2

Issue date

May 30, 2020

Language

Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

View in VR

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

View in 3D

Article Matrices

Total Views: 2197

Total Downloads: 1083

2026 Trends

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]