Full Paper View Go Back

Numerical Study Of an Unsteady 2-D Compressible Inviscid Flow with Heat Transfer with Slip Boundary Conditions Using MacCormack Technique

Arti Kaushik1

  1. Department of Mathematics, Maharaja Agrasen Institute of Technology, Delhi, India.

Correspondence should be addressed to: arti.kaushik@gmail.com.


Section:Research Paper, Product Type: Isroset-Journal
Vol.4 , Issue.5 , pp.17-26, Oct-2017


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v4i5.1726


Online published on Oct 30, 2017


Copyright © Arti Kaushik . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: Arti Kaushik, “Numerical Study Of an Unsteady 2-D Compressible Inviscid Flow with Heat Transfer with Slip Boundary Conditions Using MacCormack Technique,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.4, Issue.5, pp.17-26, 2017.

MLA Style Citation: Arti Kaushik "Numerical Study Of an Unsteady 2-D Compressible Inviscid Flow with Heat Transfer with Slip Boundary Conditions Using MacCormack Technique." International Journal of Scientific Research in Mathematical and Statistical Sciences 4.5 (2017): 17-26.

APA Style Citation: Arti Kaushik, (2017). Numerical Study Of an Unsteady 2-D Compressible Inviscid Flow with Heat Transfer with Slip Boundary Conditions Using MacCormack Technique. International Journal of Scientific Research in Mathematical and Statistical Sciences, 4(5), 17-26.

BibTex Style Citation:
@article{Kaushik_2017,
author = {Arti Kaushik},
title = {Numerical Study Of an Unsteady 2-D Compressible Inviscid Flow with Heat Transfer with Slip Boundary Conditions Using MacCormack Technique},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {10 2017},
volume = {4},
Issue = {5},
month = {10},
year = {2017},
issn = {2347-2693},
pages = {17-26},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=485},
doi = {https://doi.org/10.26438/ijcse/v4i5.1726}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v4i5.1726}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=485
TI - Numerical Study Of an Unsteady 2-D Compressible Inviscid Flow with Heat Transfer with Slip Boundary Conditions Using MacCormack Technique
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Arti Kaushik
PY - 2017
DA - 2017/10/30
PB - IJCSE, Indore, INDIA
SP - 17-26
IS - 5
VL - 4
SN - 2347-2693
ER -

508 Views    252 Downloads    174 Downloads
  
  

Abstract :
In this paper the problem of an unsteady 2-D compressible inviscid flow with heat transfer with slip boundary conditions is analyzed. Numerical solutions of the governing equations are obtained by using Mac Cormack technique. The numerical computations of u-velocity, v-velocity, pressure and temperature are done at different times for different positions along x- axis and y- axis. The numerical solutions of the u-velocity, v-velocity, pressure and temperature obtained in this analysis have been ensured to be stable based on stability requirements. The significant findings from the present analysis have been given under conclusion.

Key-Words / Index Term :
Inviscid flow, Heat transfers, Euler’s equations, MacCormack technique, slips boundary conditions

References :
[1]. R.W. MacCormack,”The effect of viscosity in hypervelocity impact crartering”, AIAA paper, pp. 69-354, 1969.
[2]. Robert S. Bernard, “A MacCormack scheme for incompressible flow”, Computers and mathematics with applications, Vol. 24, Issue 5-6, pp 151-168, 1992.
[3]. F. Payri, A.J. Torregrosa and M.D. Chust, “Applicationof MacCormack scheme to IC engine exhaust noise prediction”, Journal of sound and vibration, Vol. 195, Issue 5, pp 757-773, 1996.
[4]. R. Hixon and E. Turkel,” High accuracy compact MCT scheme for computational acoustics”,36 Aerospace Sciences Meeting and exhibition, Reno, NV. 1998.
[5]. R. Hixon and E. Turkel,” Compact implicit MC type scheme with high accuracy”, Journal of computational physics, Vol 158, Issue 1, pp. 51-70, 2000.
[6]. A.Perrin and H.H.Hu,:An explicit finite difference scheme for simulation of moving particle”, Journal of computational physics, Vol. 212, Issue 1, pp 166-187, 2006.
[7]. Li Guoyuan and C. Rhett Jackson,”Simple, accurate andefficieny revisions to McCormack and Saulyev Schemes: High Peclet number”, Applied mathematics and Computations, Vol. 186, Issue 1, pp 610-622. ,2007.
[8]. Noppart Pochai, “Numerical treatment of a modified MacCormack scheme in a non dimensional form of water quality models in a non uniform flow stream”, Journal of applied mathematics, Vol. 2014. Article ID 274263
[9]. Samir K. Das and Jafar Bagheri,” Modeling of shallow water equations by using compact MacCormack type scheme with applications on dam break problem”, International Journal of Advance Applied Mathematics and Mechanics Vol. 2 ,Issue 3, pp 60-71, 2015.
[10]. T.P. Gallagher, M. Akiki, S. Menon, V. Sankaran, V. Sankaran,” Development of generalized MacCormack scheme and its extension to low mach number flows”, International Journal for numerical methods in fluids. Vol. 85, Issue 3, pp 165-188. 2017.
[11]. J. D. Anderson,”Computational Fluid Dynamics: The Basics with Applications”, McGraw-Hill Publications, First(Ist) Edition, April 1995.
[12]. H.K. Versteeg, W. Malalsekra, “An Introduction to Computational Fluid Dynamics: The Finite Volume Method”, Prentice Hall, Second (2nd) Edition, February 2007.
[13]. Prabhjot Singh and Anjana Sharma,” Face Recognition Using Principal Component Analysis in MATLAB”, International Journal of Scientific Research in Computer Science and Engineering, Vol.3, Issue 1, pp.1-5, 2015.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation