Draw a control volume around the boundary layer near a charged wall. Given the ve- locity distribution derived in this chapter, evaluate the drag force per unit length at the wall in terms of Wall Integrate the Coulomb force in the control volume to evaluate the total electrostatic force per unit length on the ions in the double layer. What does this tell you about the relation between the viscous drag force and the total Coulomb force? What does this tell you about the relation between the areal charge density on the wall and the volumetric charge density in the boundary layer? Numerically simulate flow through a long 2D channel with electroosmotic slip condition on the side walls and closed, no-slip end walls. Plot streamlines for this flow. Draw a control volume around the boundary layer near a charged wall. Given the ve- locity distribution derived in this chapter, evaluate the drag force per unit length at the wall in terms of Wall Integrate the Coulomb force in the control volume to evaluate the total electrostatic force per unit length on the ions in the double layer. What does this tell you about the relation between the viscous drag force and the total Coulomb force? What does this tell you about the relation between the areal charge density on the wall and the volumetric charge density in the boundary layer? Numerically simulate flow through a long 2D channel with electroosmotic slip condition on the side walls and closed, no-slip end walls. Plot streamlines for this flow