Unsteady Hele Shaw Flow of a Conducting Rivlin Ericksen Fluid .

  • K. Sreenivasan Sri Venkateswara University, Tirupati
  • D. Bathaiah Sri Venkateswara University, Tirupati
Keywords: Magnetic field, Viscoelasticity

Abstract

This paper aims to study the unsteady Hele-Shaw flow of conducting Rivlin-Ericksen fluid under the influence of a uniform transverse magnetic field. The study has been carried out when the pressure gradient is (i) proportional to e/sup int/, (ii) zero for t < 0 and equal to a constant for t >= 0, and (iii) proportional to e/sup -nt/. It is interesting to note that the time for the motion to become steady when started from rest(case ii) is of the order ~ 4 s/sup 2/ / where s is the viscoelastic parameter. The rheological equation of the Rivlin-Ericksen fluid is described in section 2. The expressions for velocity components u and v of the fluid in x and y directions are derived in section 3. The effects of magnetic field and viscoelasticity are discussed in section 4.

Author Biographies

K. Sreenivasan, Sri Venkateswara University, Tirupati
Sri Venkateswara University, Tirupati
D. Bathaiah, Sri Venkateswara University, Tirupati
Sri Venkateswara University, Tirupati
Published
2013-01-01
How to Cite
Sreenivasan, K., & Bathaiah, D. (2013). Unsteady Hele Shaw Flow of a Conducting Rivlin Ericksen Fluid . Defence Science Journal, 43(4), 419-428. https://doi.org/10.14429/dsj.43.4293
Section
Applied Physics & Fluid Dynamics