In a recent paper, Srivastava et al. (2016) have tested the proposed formula based on DS-conjecture Datta and Srivastava, (1999) of Stokes drag on axially symmetric bodies placed under micropolar fluid to improve the drag value under Oseen’s limit. In the present work, proof of the proposed drag formula is given for both axial and transverse Stokes flow of micropolar fluid under certain body geometry constraints mainly of continuously turning tangent on body curve in meridional plane as assumed in DS-conjecture. The general expression of drag immediately reduces to the value of drag in classical Newtonian fluid as micro polarity parameter k approaches to zero. The proposed expressions of Stokes drag are applied to various axially symmetric bodies like sphere, spheroid, deformed sphere, cycloidal body, Cassini body, Hypocycloidal body and egg-shaped body and results are in agreement with some known values available in the literature in the limiting cases.
Srivastava, Deepak K. and Srivastava, Nirmal
Stokes drag on axially symmetric body in micro polar fluid,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 15,
1, Article 30.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss1/30