Unsteady Hele Shaw Flow of a Conducting Rivlin Ericksen Fluid .
Keywords: Magnetic field, Viscoelasticity
AbstractThis 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.
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
Applied Physics & Fluid Dynamics
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