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Unsteady Flow of Non-Newtonian [Oldroyd (1958) Model] Fluid with Transient Pressure Gradient through Porous Media in A Rectangular Channel

Author Affiliations

  • 1Department of Mathematics, Agra College, Agra, UP, INDIA
  • 2Department of Mathematics, Agra College, Agra, UP, INDIA
  • 3Department of Mathematics, K.K.P.G. College, Etawah, UP, INDIA

Res. J. Mathematical & Statistical Sci., Volume 1, Issue (1), Pages 19-22, February,12 (2013)

Abstract

The aim of the present paper is to investigate the unsteady flow of non-Newtonian Oldroyd model fluid of second order with transient pressure gradient through porous media in a long rectangular channel. The expression for velocity of the fluid is obtained in elegant form. The various deductions have also been discussed in detail. Introduction The study of physics of flow through porous media has become the basis of many scientific and engineering applications. This type of flow is of great importance in the petroleum engineering concerned with the movement of oil, gas and water through the reservoir of an oil or gas field to the hydrologist in the study of the migration of underground water and to the chemical engineer in the filtration process. Many research workers have paid their attention towards the application of non- Newtonian fluid flow through porous media in various types of channel, such as Oldroyd, Gupta and Sharma, Kapur, Bhatt and Sachetti , Singh, Shankar and Singh, Gupta and Gupta, Singh and Kumar, Hayat, Asghar and Siddiqui, Sharma and Pareek, Kundu and Sengupta, Hassianien10, Sengupta and Basak11, Pundhir and Pundhir12, Rehman and Alam Sarkar13, Agarwal and Agarwal14, Singh, Kumar and Sharma15, Kumar, Sharma and Singh16 and Kumar, Mishra and Singh17 etc. In the present paper, the unsteady laminar flow of non-Newtonian Oldroyd fluid of second order with transient pressure gradient through porous media in a long rectangular channel. The various deductions have also been discussed in detail.

References

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