A micro-channel heat exchanger suited for use in large-area cold plates includes a heat transfer member having winding micro-channels, a manifold, and a cover plate. The micro-channels' winding design is defined by a nonlinear flow axis that may include a plurality of short pitch and small amplitude undulations, which cause the flow to change directions, as well as two or more large amplitude bends that cause the flow to reverse direction. In low flow per unit area applications, the winding micro-channels allow a user to customize the pressure drop to promote good flow distribution, to achieve improved heat transfer uniformity, and to enable the pressure drop to remain above the bubble point of the heat transfer structure to prevent gas blockage. The winding micro-channels also improve the heat transfer coefficient.