TY - JOUR
AU - K. Sreenivasan
AU - D. Bathaiah
PY - 2013/01/01
Y2 - 2020/08/04
TI - Unsteady Hele Shaw Flow of a Conducting Rivlin Ericksen Fluid .
JF - Defence Science Journal
JA - DSJ
VL - 43
IS - 4
SE - Applied Physics & Fluid Dynamics
DO - 10.14429/dsj.43.4293
UR - https://publications.drdo.gov.in/ojs/index.php/dsj/article/view/4293
AB - 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.
ER -