In this paper we study the steady flow, at low Reynolds number R , past a pervious sphere with a source at its centre. Assuming the source strength s also to be small, we use the method of matched asymptotic expansions to generate the inner and outer solutions pertaining to the problem. Graphs depicting the streamlines have been drawn to exhibit the effects of s and R . Also, the expression of the calculated drag experienced by the sphere shows that the effect of a source (s > o) is to decrease the drag.
Datta, Sunil and Singhal, Shanu
Small Reynolds Number Steady Flow Past a Sphere with a Source at its Centre,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 6,
1, Article 16.
Available at: https://digitalcommons.pvamu.edu/aam/vol6/iss1/16