Axi-symmetric slow viscous flow due to a stokeslet situated on the axis of a spherical cap is considered. The problem is formulated as a mixed boundary value problem.
A formal expression for the stream function is obtained by making use of dual series equation method and integral transform method.
By evaluating the expression, it is found that
1) the flow field shows the existence of various eddies depending on the subtending angle of the cap and on the location of the stokeslet,
2) when the stokeslet is located at a distance smaller than a critical value within the concave side of the cap, the flow direction at far field is opposite to that due to a stokeslet without the cap.
Force experienced by the cap and induced velocity at the stokeslet (the first order effect of the cap upon the drag exerted on a small sphere) are also calculated.
