Flow of a Second-Order Fluid Between Two Infinite Discs in the Presence of Transverse Magnetic Field

Reshu Agarwal; Deepak Agarwal

doi:https://doi.org/10.14445/22315373/IJMTT-V54P561

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 54 | Number 7 | Year 2018 | Article Id. IJMTT-V54P561 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P561

Flow of a Second-Order Fluid Between Two Infinite Discs in the Presence of Transverse Magnetic Field

Reshu Agarwal, Deepak Agarwal

Citation :

Reshu Agarwal, Deepak Agarwal, "Flow of a Second-Order Fluid Between Two Infinite Discs in the Presence of Transverse Magnetic Field," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 7, pp. 508-518, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P561

Abstract

In this problem the flow of an incompressible second-order fluid confined between two infinite parallel discs under the transverse magnetic field, one stationary (stator) and other rotating (rotor), has been considered when there is a uniform injection normal to the stator. The solution of the problem is sought by expanding all the flow functions in the ascending powers of Reynolds numbers (assumed small). The effects of the elastico-viscosity t1, cross-viscosity t2, Reynolds number R, magnetic field m1 and injection k on the velocity profile have been investigated and their behaviour have been shown graphically. Shearing stress at rotor and stator has also been calculated.

Keywords

Second order fluid, infinite discs, Magnetic Field

References

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