Full Paper View Go Back

Numerical Solutions for unsteady flow past a semi- infinite plate using Alternating –Direction-Implicit (ADI) Technique

A. Kaushik1

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.1 , pp.9-14, Feb-2020


Online published on Feb 28, 2020


Copyright © A. 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: A. Kaushik, “Numerical Solutions for unsteady flow past a semi- infinite plate using Alternating –Direction-Implicit (ADI) Technique,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.1, pp.9-14, 2020.

MLA Style Citation: A. Kaushik "Numerical Solutions for unsteady flow past a semi- infinite plate using Alternating –Direction-Implicit (ADI) Technique." International Journal of Scientific Research in Mathematical and Statistical Sciences 7.1 (2020): 9-14.

APA Style Citation: A. Kaushik, (2020). Numerical Solutions for unsteady flow past a semi- infinite plate using Alternating –Direction-Implicit (ADI) Technique. International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(1), 9-14.

BibTex Style Citation:
@article{Kaushik_2020,
author = {A. Kaushik},
title = {Numerical Solutions for unsteady flow past a semi- infinite plate using Alternating –Direction-Implicit (ADI) Technique},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2020},
volume = {7},
Issue = {1},
month = {2},
year = {2020},
issn = {2347-2693},
pages = {9-14},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1735},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1735
TI - Numerical Solutions for unsteady flow past a semi- infinite plate using Alternating –Direction-Implicit (ADI) Technique
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - A. Kaushik
PY - 2020
DA - 2020/02/28
PB - IJCSE, Indore, INDIA
SP - 9-14
IS - 1
VL - 7
SN - 2347-2693
ER -

415 Views    428 Downloads    134 Downloads
  
  

Abstract :
A study of an unsteady flow past a semi- infinite plate with oscillations in temperature is presented in this work. The non-linear differential equations governing flow and heat transfer have been solved numerically by using Alternating–Direction-Implicit (ADI) Technique. The numerical values of velocity and temperature are obtained and presented graphically at different times and for different values of Prandtl number and frequency parameter. It is observed that velocity decreases with increase in Prandtl number and frequency parameter.

Key-Words / Index Term :
Heat transfer, oscillating temperature, Prandtl number

References :
[1] T. Fujii and H. Imura, “Natural Convection heat transfer from a plate with arbitrary inclination”, International Journal of Heat and Mass Transfer, Vol 15, Issue 4, pp 1873-1886, 1972.
[2] L. Pera and B. Gebhart, “Natural Convection boundary layer flow over horizontal and slightly inclined surfaces”, International Journal of Heat and Mass Transfer, Vol.16, Issue 6, pp 1131-1147, 1973.
[3] T. S. Chen, H. C. Tien and B. F. Armaly, “Natural Convection on horizontal, inclined and vertical plates with variable surface temperature or heat flux”, International Journal of Heat and Mass Transfer. Vol. 29, Issue 10, pp 1465-1478, 1986.
[4] K. Ekambavannan and P. Ganesan, “Finite difference solution of unsteady natural convection boundary layer flow over an inclined plate with variable surface temperature”, Wärme and Stoffübertragung, Vol. 30, Issue 2, pp 63-69, 1994.
[5] N. Pandya and R. K. Yadav, ” Numerical Simulation of Soret-Dufour and Radiation effects on Unsteady MHD flow of Viscoelastic Dusty fluid over Inclined Porous Plate”, International Journal of Computer Sciences and Engineering, Vol.6,Issue6,pp898-908,2018.

[6] M. D. Kelleher and K. T. Yang, “Heat transfer responses of laminar free convection boundary layers along a vertical heated plate to surface temperature oscillations”, The Journal of Applied Mathematics and Physics. Vol. 19, Issue 1, pp 31-44,1968.
[7] V. M. Soundalgekar and M. R. Patil , “Stoke’s problem for a vertical infinite plate with variable temperature”, Astrophysics and Space Science. Vol. 59, Issue 2, pp 503-506, 1978.
[8] V. M. Soundalgekar, “Free convection effects on the flow past an infinite vertical oscillating plate”, Astrophysics and Space Science. Vol. 64, Issue 1, pp 165-171, 1979.
[9] V. M. Soundalgekar, “Unsteady forced and free convective flow past an infinite vertical porous plate with oscillating wall temperature and constant suction”, Astrophysics and Space Sci,Vol. 66, Issue 1, pp 223- 233, 1979.
[10] M. A. Hossain, “Simultaneous heat and mass transfer on oscillatory free convection boundary layer flow”, International Journal of Energy Research, Vol. 12 , Issue 2, pp 205-206, 1998.
[11] M. A. Hossain, S. K. Das and I. Pop, “ Heat transfer response of MHD free convection along a vertical plate to surface temperature oscillations”, International Journal of Nonlinear Mechanics. Vol. 33, Issue 3, pp 541-553,1998.
[12] U. N. Das, R. K. Deka and V. M. Soundalgekar, “Transient free convection flow past an infinite vertical plate with periodic temperature variation”, Transactions of the ASME, Journal of Heat Transfer. Vol. 121, Issue 4, pp 1091-1094, 1999.
[13] H. P. Rani and R. Devaraj, “Numerical solution of unsteady flow past a vertical cylinder with temperature oscillations”, Forschung im Ingenieurwesen. Vol. 68, Issue 2, pp 75-78, 2003.
[14] Nawaf H. Saeid, “Periodic free convection from vertical plate subjected to periodic surface temperature oscillating”, International Journal of thermal science. Vol. 43, Issue 6, pp 569-574, 2004.
[15] H. M. Duwairi, Rebhi A. Damseh and Bourhan Tashtoush , “Transient mixed convection along a vertical plate embedded in porous media with internal heat generation and oscillating temperature”, Chemical Engineering Communications Vol.194, Issue 11,pp 1516-1530, 2007.
[16] G. Palani and Kwang-Yong Kim,”Numerical solutions for unsteady flow past a semi-infinite inclined plate with temperature oscillations”, Journal of Mechanical Science and Technology, Vol.23, Issue 6, pp 1710-1717, 2009.
[17] R. Choudhury and D. Dey, “Free Convective Elastico-Viscous Fluid Flow With Heat And Mass Transfer Past An Inclined Plate In Slip Flow Regime”, Latin American Applied Research, Vol. 42, Issue 4, pp 327-332, 2012 .
[18] I. J. Uwanta, and Murtala Sani, “Heat and Mass Transfer Flow Past an Infinite Vertical Plate with Variable Thermal Conductivity”, International Journal of Applied Information Systems, Vol. 6, Issue 1, pp 16-24, 2013.
[19] R. P. Chandra, M. C. Raju, G. S. S. Raju, “Thermal and Solutal Buoyancy Effect on MHD Boundary Layer Flow of a Visco-Elastic Fluid Past a Porous Plate with Varying Suction and Heat Source in the Presence of Thermal Diffusion”, Journal of Applied and Computational Mathematics, Vol. 4, Issue 5, pp 249-255, 2015.
[20] U. S. Rajput and Gaurav Kumar, “Effect of Heat Absorption on MHD Flow Over a Plate with Variable Wall Temperature”, Journal of Applied Science and Engineering, Vol.20, Issue 3, pp 277-282, 2017.
[21] 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.

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