An expression for the hydrodynamic force on a body interacting with the leading body wake

作者：Ramirez Munoz J^*; Soria A

来源：Revista Mexicana de Ingenieria Quimica, 2007, 6(1): 101-109.

• hydrodynamic force
• quasisteady drag
• particle-particle interaction
• hydrodynamic interaction
• laminar wake

We present a hydrodynamic study of the interaction of two equal-size spherical bodies arranged in-line with a uniform, Newtonian, and incompressible flow. The asymptotic wake velocity solution for an isolated body is applied to the interaction with a trailing body placed in the leading body laminar wake. By equating the flow defect in the wake to the drag on the trailing body and considering the pressure gradient, an expression for the hydrodynamic force on this body was obtained. The expression is valid in the Reynolds number range 24< Re <130 and has a parameter, which represents the ratio between a characteristic velocity of the flow incident on the trailing body and the uniform flow velocity incident on the leading body. The parameter value was assessed by using experimental data reported in the literature. By considering that the whole wake effect is equivalent to local drag reduction on the trailing body only (i.e. without consideration of the pressure gradient repulsive effect), an underestimation of the hydrodynamic force in approximately 10% was found for small separation distances between the spheres.

• 出版日期2007-4