CFP last date
20 December 2024
Call for Paper
January Edition
IJCA solicits high quality original research papers for the upcoming January edition of the journal. The last date of research paper submission is 20 December 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Relaxation and Retardation Effects on Free Convective Visco-Elastic Fluid Flow Past an Oscillating Plate

by Debasish Dey, Ardhendu Sekhar Khound
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 144 - Number 9
Year of Publication: 2016
Authors: Debasish Dey, Ardhendu Sekhar Khound
10.5120/ijca2016910434

Debasish Dey, Ardhendu Sekhar Khound . Relaxation and Retardation Effects on Free Convective Visco-Elastic Fluid Flow Past an Oscillating Plate. International Journal of Computer Applications. 144, 9 ( Jun 2016), 34-40. DOI=10.5120/ijca2016910434

@article{ 10.5120/ijca2016910434,
author = { Debasish Dey, Ardhendu Sekhar Khound },
title = { Relaxation and Retardation Effects on Free Convective Visco-Elastic Fluid Flow Past an Oscillating Plate },
journal = { International Journal of Computer Applications },
issue_date = { Jun 2016 },
volume = { 144 },
number = { 9 },
month = { Jun },
year = { 2016 },
issn = { 0975-8887 },
pages = { 34-40 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume144/number9/25210-2016910434/ },
doi = { 10.5120/ijca2016910434 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:47:13.503025+05:30
%A Debasish Dey
%A Ardhendu Sekhar Khound
%T Relaxation and Retardation Effects on Free Convective Visco-Elastic Fluid Flow Past an Oscillating Plate
%J International Journal of Computer Applications
%@ 0975-8887
%V 144
%N 9
%P 34-40
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

An unsteady two dimensional free convective flow of visco-elastic fluid past a flat surface with heat and mass transfer has been investigated. The surface is oscillating with about a mean velocity U0. Oscillating temperature and concentration about T_∞ and C_∞ respectively have been considered at the surface. The visco-elastic fluid flow is characterized by Oldroyd-B fluid model having two rheological parameters: relaxation time and retardation time. In the governing fluid flow, a magnetic field of uniform strength B0 has been applied along the transverse direction to the surface. Governing equations of motion are solved analytically by using perturbation scheme. Analytical expressions for velocity profiles, shearing stress at the surface, temperature and concentration fields are obtained. Results are discussed graphically for various combinations of flow parameters involved in the solution. A special emphasis is given on the effects of relaxation and retardation times.

References
  1. Oldroyd, J. G., On the Formulation of Rheological Equations of State, Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences 200 (1063), 523–541, 1950.
  2. Oldroyd, J. G., Non-Newtonian effects in steady motion of some idealized elastic-viscous liquids, Proc. Roy. Soc. Lond., A245, 278-297, 1958.
  3. Rajagopal, K. R. & Bhatnagar, R. K., Exact solutions for some simple flows of an Oldroyd-B fluid, Acta Mechanica, 113 233-239, 1995.
  4. Ray, R.N., Samad, A. & Chaudhury, T.K., An exact periodic solution of hydro-magnetic flow of an Oldroyd fluid in a channel, ASME, J. Appl. Mech., 66 , 974-977, 1999.
  5. Hayat, T., Siddiqui, A. M., & Asghar, S., Some simple flows of an Oldroyd-B fuid, International Journal of Engineering Science 39, 135-147, 2001.
  6. Hayat, T., Nadeem, S., & Asghar, S., Hydromagnetic couette flow of an Oldroyd-B fluid in a rotating system, International Journal of Engineering Science 42, 65–78, 2004.
  7. Asghar, S., Parveen, S., Hanif, S. & Siddique, A. M., Hall effects on the unsteady hydromagnetic flows of an Oldroyd-B fluid, Int. J. Engg. Sci., 41, 609-619, 2004.
  8. Ghosh, S. K., Unsteady Hydro-Magnetic Flow of an Oldroyd Fluid through a Porous Channel with Oscillating Walls, Journal of Physical Sciences, 17, 155-167, 2013.
  9. Gebhart, B. and Pera, L.. The nature of vertical convection flows resulting from the combined buoyancy effects of thermal and mass diffusion, Int. J. Heat Mass transfer, 14, 2025-2050, 1971.
  10. Erickson, L. E., Fan, L. T. and Fox, V. G., Heat and mass transfer on a moving continuous flat plate with suction or injection, Industrial & Engineering Chemistry Fundamentals, 5(1), 19-25, 1966.
  11. Zueco J. and Ahmed, S., Combined heat and mass transfer by mixed convection MHD flow along a porous plate with chemical reaction in presence of heat source, Appl. Math. Mech.- Engl. Ed., 31(10), 1217-1230, 2010.
  12. Chaudhary, R. C. and Jain, A., MHD heat and mass diffusion flow by natural convection past a surface embedded in a porous medium, Theoret. Appl. Mech., 36 (1), 1-27, 2009.
  13. Makinde, O. D., On MHD boundary layer flow and mass transfer past a vertical plate in a porous medium with constant heat flux, Int. J. Num. Meth. Heat & Fluid Flow, 19(3/4), 546-554, 2009.
  14. Choudhury, R. and Dey, D., Free convective visco-elastic flow with heat and mass transfer through a porous medium with periodic permeability, International Journal of Heat and Mass Transfer, Vol. 53, pp. 1666-1672, 2010.
  15. Choudhury, R. and Dey, D., Mixed Convective MHD Flow With Heat And Mass Transfer Of An Elastico-Viscous Fluid From A Vertical Surface With Ohmic Heating In Presence Of Radiation, Journal of Fluids and Thermal Sciences, Vol. 1, No. 2, pp. 131-143,  2012.
  16. Choudhury R. and Dey D., 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, No. 4, 327-332, 2012.
  17. Choudhury, R., Dhar, P. and Dey, D., Visco-Elastic MHD Boundary Layer Flow withHeat and Mass Transfer overa Continuously Moving Inclined Surface in Presence of Energy Dissipation, WSEAS Transactions on Heat and Mass Transfer, 4, 8, 146-155, 2013.
Index Terms

Computer Science
Information Sciences

Keywords

Relaxation and retardation Oldroyd-B fluid model free convection perturbation shearing stress.

Powered by PhDFocusTM