THE UNSTEADY FLOW OF VISCO-ELASTIC MAXWELL FLUID OF SECOND ORDER DUE TO A PERIODIC PRESSURE GRADIENT THROUGH A RECTANGULAR DUCT

Authors:

Pravangsu Sekhar Das,

DOI NO:

https://doi.org/10.26782/jmcms.2017.07.00006

Keywords:

Unsteady Flow,Periodic Pressure Gradient,Basic Rheological Equations,Visco- Elastic Fluid ,Maxwell Fluid,Ordinary Viscous Fluid,

Abstract

The objective of this research paper is to investigate the unsteady flow of general type Visco-elastic, fluid under the action of a periodic pressure gradient through a non-conducting rectangular duct. Firstly, the  general  investigation have been focused methodically to consider the unsteady flow of the fluid in presence of a periodic pressure gradient. Secondly, two  important  deductions  have been made for Maxwell Fluid of  first order model and ordinary viscous fluid model. Finally, the author investigates the velocity of the  fluid  numerically .

Refference:

1) lamb H. , Hydrodynamics, New york, Dover Publications.Inc.(1945)
2) Pai S.I., Viscous flow theory Laminar Flow, Princeton N.H.D. Nostrand. Inc(1965)
3) Oldoroyd J.G ,Proc.Roy Soc ( London) A.218, 122(1985)
4) Maxwell J.c., phil. Trans Roy .soc ( london) A.157, PP 49-88(1867)
5) Cowling T.G, Magneto-Hydrodynamics, Bristol, England , Adam High Hilger Ltd(1976)
6) Kapur J.N ., Bhatt B.S. and Sacheti N.C ., Non Newtonian Fluid Flows , India, Pragatic Prakashan (1982)
7) Batchelor G.K, An introduction to Fluid dynamics, Cambridge University press(1967)
8) Milne-thomson L.M, Theoritical Hydrodynamics , New York, The Macmilan Co(1955)
9) Lighthill James, Waves in fluids, London, Cambridge university press(1988)
10) Sengupta P. R. and kundu S. MHD Flow of visco-elastic oldroydian fluid with periodic pressure gradient in a pours rectangular duct with a possible generalization, journal of pure and applied physics vol. 11 no.2 pp-57-199
11) Das, P.S. Sengupta P.R. and Debnath, L.k . Lamb’s Plane problem in thermo-visco-elastic micropolar medium with the effect of gravity , International journal of mathematics and mathematical science, U.S.A , Vol.15, No.5, PP 795-802,(1992)

12) P.S. Das , effect of visco-elasticity of Maxwell type on surface waves in sea water, Proc. 4th international Conference on vibration Problems(ICOVP), vol.A, PP.130-132,(1999)

13) Das P.S. , The unsteady Flow of Visco-elastic Maxwell Fluid of second order due to a transient pressure gradient through a rectangular duct , P.A.M.S , Vol.II, No.1-2, PP. 31-37,2000
14) Das P.S. , The unsteady Flow of Visco-elastic Rivlin-Ericksen Fluid of first order due to a transient pressure gradient through a rectangular duct , Indian journal of theoretical Physics , Calcutta , Vol. No.49, P.P. 71-77,2001
15) Das P.S. , The unsteady Flow of Visco-elasticity of general type on surface waves in seawater, indian journal of Pure and applied Mathematics , National Sc. academy, Vol. 33(I) , P.P. 21-30,2002
16) Das P.S. , (2002) , Indian journal of Theoretical Physics, Vol. 5, No.2

Autho(s): Pravangsu Sekhar Das View Download