Geodesic
Flow of an unsteady dusty visco-elastic fluid between two moving plates in Frenet-frame field system
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2009), pp. 30-41 
B. J. Gireesha; T. Nirmala; C. S. Vishalakshi; C. S. Bagewadi. Flow of an unsteady dusty visco-elastic fluid between two moving plates in Frenet-frame field system. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2009), pp. 30-41. http://geodesic.mathdoc.fr/item/BASM_2009_3_a2/
@article{BASM_2009_3_a2,
     author = {B. J. Gireesha and T. Nirmala and C. S. Vishalakshi and C. S. Bagewadi},
     title = {Flow of an unsteady dusty visco-elastic fluid between two moving plates in {Frenet-frame} field system},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {30--41},
     year = {2009},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2009_3_a2/}
}
TY  - JOUR
AU  - B. J. Gireesha
AU  - T. Nirmala
AU  - C. S. Vishalakshi
AU  - C. S. Bagewadi
TI  - Flow of an unsteady dusty visco-elastic fluid between two moving plates in Frenet-frame field system
JO  - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY  - 2009
SP  - 30
EP  - 41
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/BASM_2009_3_a2/
LA  - en
ID  - BASM_2009_3_a2
ER  - 
%0 Journal Article
%A B. J. Gireesha
%A T. Nirmala
%A C. S. Vishalakshi
%A C. S. Bagewadi
%T Flow of an unsteady dusty visco-elastic fluid between two moving plates in Frenet-frame field system
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2009
%P 30-41
%N 3
%U http://geodesic.mathdoc.fr/item/BASM_2009_3_a2/
%G en
%F BASM_2009_3_a2

Voir la notice de l'article provenant de la source Math-Net.Ru

The present investigation deals with the study of an unsteady motion of a dusty viscoelastic conducting fluid under arbitrary pressure gradient between two infinite moving parallel plates. The influence of time dependent pressure gradients, i.e. impulsive, transition and motion for a finite time is considered along with the effect of the movement of the plates and the presence of uniform magnetic field. Expressions for the velocities of the fluid and particles are obtained by using the Laplace transform technique. Results are presented in graphical form. Finally the skin friction at the boundaries is calculated.

[1] Bagewadi C. S., Gireesha B. J., “A study of two-dimensional steady dusty fluid flow under varying temperature”, Int. Journal of Appl. Mech. and Eng., 9 (2004), 647–653 | Zbl

[2] Bagewadi C. S, Gireesha B. J., “A study of two-dimensional unsteady dusty fluid flow under varying pressure gradient”, Tensor (N.S.), 64 (2003), 232–240 | MR | Zbl

[3] O'Neill Barrett, Elementary Differential Geometry, Academic Press, New York–London, 1966 | MR | Zbl

[4] Baral M. C., “Plane parallel flow of conducting dusty gas”, Jour. Phys. Soc. of Japan, 25 (1968), 1701–1702 | DOI

[5] Datta N., Dalal D. C., “Pulsatile flow of heat transfer of a dusty fluid through an infinitly long annular pipe”, Int. J. Multiphase flow, 21:3 (1995), 515–528 | DOI | Zbl

[6] Gireesha B. J., Bagewadi C. S., Prasannakumara B. C., “Flow of unsteady dusty fluid between two parallel plates under constant pressure gradient”, Tensor (N.S.), 68 (2007), 1701–1702 | MR

[7] Gireesha B. J., Bagewadi C. S., Prasannakumara B. C., “Unsteady dusty fluid Flow through Rectangular Channel in Frenet Frame Field System”, Int. Jour. Pure and Appl. Math., 34:4 (2007), 525–535 | MR | Zbl

[8] Gireesha B. J., Bagewadi C. S., Prasannakumara B. C., “A study of unsteady dusty gas flow in Frenet Frame Field”, Indian Journal Pure Appl. Math., 31 (2000), 1405–1420

[9] Girish Kumar, Chaudhary R. K. S., Singh K. K., “Unsteady flow of conducting dusty visco-elastic liquid through a channel”, Proc. Nat. Acad. Sci. India Sect A, 60:4 (1990), 393–400 | Zbl

[10] Ghosh N. C., Ghosh B. C., Debnath L., “The hydromagnetic flow of a dusty visco-elastic fluid between two infinite parallel plates”, Comp. Math. App., 39 (2000), 103–116 | DOI | MR | Zbl

[11] Indrasena A., “Steady rotating hydrodynamic flows”, Tensor (N.S.), 32 (1978), 350–354 | MR | Zbl

[12] Kanwal R. P., “Variation of flow quantities along streamlines, principal normals and bi-normals in three-dimensional gas flow”, J. Math., 6 (1957), 621–628 | MR

[13] Liu J. T. C., “Flow induced by an oscillating infinite plat plate in a dusty gas”, Phys. Fluids, 9 (1966), 1716–1720 | DOI | Zbl

[14] Debnath Lokenath, Ghosh A. K., “Unsteady hydromagnetic flows of a study fluid between two oscillating plates”, Journal of Appl. Scientific Research, 45 (1988), 353–365 | DOI | MR

[15] Michael D. H., Miller D. A., “Plane parallel flow of a dusty gas”, Mathematika, 13 (1966), 97–109 | DOI | Zbl

[16] El-Dabe Nabil T. M., El-Mohandis Salwa M. G., “Effect of couple stresses on pulsatile hydromagnetic poiseuille flow”, Fluid Dynamic Research, 15 (1995), 313–324 | DOI

[17] Purushotham G., Indra Sena A., “On intrinsic properties of steady gas flows”, Appl. Sci. Res. A, 15 (1965), 196–202 | DOI

[18] Saffman P. G., “On the stability of laminar flow of a dusty gas”, Journal of Fluid Mechanics, 13 (1962), 120–128 | DOI | MR | Zbl

[19] Truesdell C., “Intrinsic equations of spatial gas flows”, Z. Angew. Math. Mech., 40 (1960), 9–14 | DOI | MR | Zbl