The systems and methods described herein are directed towards a solid state pumping system that utilizes an electric field applied across a channel formed within the solid state pump to move electro-rheological (ER) fluid from an inlet fluidly coupled to a first end of the channel to an outlet fluidly coupled to a second end of the channel. The solid state pumping system may include first, second and third plate with the second plate disposed between the first and third plate. The second plate may include a channel having first and second circuits coupled to opposing sides of the channel. In an embodiment, in response to a voltage applied thereto, the first and second circuits can provide an electric field voltage across the channel such that in response to the electric field voltage the ER fluid moves from the first end to the second end of the channel.