Resonance behaviour of viscoelastic fluid in Poiseuille flow in the presence of a transversal magnetic field

International Journal for Numerical Methods in Fluids

Volumn 49, Issue 8, 2005, Pages 837-847

  Mohyuddin, Muhammad R ^a   Gotz T ^b  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b University of Koblenz Landau   (Germany)

Author keywords

Resonance; Velocity enhancement; Viscoelastic MHD flow

Indexed keywords

APPROXIMATION THEORY; BESSEL FUNCTIONS; BOUNDARY CONDITIONS; DIFFERENTIATION (CALCULUS); INCOMPRESSIBLE FLOW; MAGNETIC FIELD EFFECTS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; RESONANCE; UNSTEADY FLOW; VELOCITY; VISCOELASTICITY;

POISEUILLE FLOW; VELOCITY ENHANCEMENT; VISCOELASTIC MHD FLOW;

PIPE FLOW;

MAGNETIC FIELD; POISEUILLE FLOW; RESONANCE; VISCOELASTIC FLUID;

EID: 27344442419     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.1026     Document Type: Article

References (23)

1. Bird RB, Armstrong RC, Hassager O. Dynamics of Polymeric Liquids, vol. 1. Wiley: New York, 1977.
2. Fisher RJ, Denn MM. A theory of isothermal melt spinning and draw resonance. AIChE Journal 1976; 22(2): 236-246.
3. Petrie CJS, Denn MM. Instabilities in polymer processing. AIChE Journal 1976; 22(2):209-236.
4. Anturkar NR, Co A. Draw resonance in film casting of viscoelastic fluids: a linear stability analysis. Journal of Non-Newtonian Fluid Mechanics 1988; 28(3):287-307.
5. Cao J. Numerical simulation of draw resonance in melt spinning of polymer fluids. Journal of Applied Polymer Science 1993; 49:1759-1768.
6. van der Hout R. Draw resonance in isothermal fibre spinning of Newtonian and power-law fluids. European Journal of Applied Mathematics 2000; 11:129-136.
7. Lee JS, Jung HW, Kim SH, Hyun JC. Effect of fluid viscoelasticity on the draw resonance dynamics of melt spinning. Journal of Non-Newtonian Fluid Mechanics 2001; 99(2-3):159-166.
8. Siginer A. On the pulsating pressure gradient driven flow of viscoelastic liquids. Journal of Rheology 1991; 35(2):271-311.
9. Andrienko YA, Siginer DA, Yanovsky YG. Resonance behavior of viscoelastic fluids in Poiseuille flow and application to flow enhancement. International Journal of Non-Linear Mechanics 2000; 35:95-102.
10. El-Shenawey EF, Elbarbary EME, Afifi NAS, Elshahed M. MHD flow of an elastico-viscous fluid under periodic body acceleration. International Journal of Mathematics and Mathematical Sciences 2000; 23(11):795-799.
11. Shercliff JA. A Textbook of Magnetohydrodynamics. Pergamon Press: Oxford, 1965.
12. Ray RN, Samad A, Chaudhury TK. Low Reynolds number stability of MHD plane Poiseulle flow of an Oldroyd fluid. International Journal of Mathematics and Mathematical Sciences 2000; 23(9):617-625.
13. Usha R, Gotz T. Spinning of a liquid film from a rotating disc in the presence of a magnetic field - a numerical solution. Acta Mechanica 2001; 147(1-4):137-151.
14. Sarpakaya T. Flow of non-Newtonian fluids in a magnetic field. AIChE Journal 1961; 7(2):324-328.
15. Siginer DA, Valenzuela-Rendon A. Energy considerations in the flow enhancement of viscoelastic liquids. ASME Journal of Applied Mechanics 1993; 60:344-352.
16. Davidson PA. An Introduction to Magnetohydrodynamics. Cambridge University Press: Cambridge, MA, 2001.
17. Eringen AC, Maugin GA. Electrodynamics of Continua I. Foundations and Solid Media, 1990.
18. Siginer DA. Oscillating flow of a simple fluid in a pipe. International Journal of Engineering Science 1991; 29:1557-1567.
19. Rajagopal KR, Ruzicka M. On the modeling of electrorheological materials. Mechanics Research Communications 1996; 23:401-407.
20. Ruzicka M. Flow of shear dependent electrorheological fluids: fluids. CRAS 1999; 329:393-398.
21. Rajagopal KR, Ruzicka M. Mathematical modelling of electrorheological materials. Continnum Mechanics and Thermodynamics 2001; 13:59-78.
22. Sherman A, Sutton GW. Engineering Magnetohydrodynamis. McGraw-Hill: New York, 1965.
23. Abramowitz M, Stegun IA. Handbook of Mathematical Functions. Dover: New York, 1972.