Pump pressure output can be controlled as temperature changes by a temperature compensation element. The present invention provides a shear channel constructed out of two or more materials enabling a pump to have a pressure profile as a function of temperature for a viscous fluid. The channel height varies as a function of temperature when the channel walls and temperature compensation element are constructed from materials having different coefficients of thermal expansion. By selecting a combination of materials, the channel height can increase, decrease, or remain constant as the temperature is changed. Ignoring the effects of viscosity, channel length, and relative speed the effect of channel height on pump output pressure is assessed: by increasing channel height as temperature increases, the pressure will decrease; by keeping the channel height constant as temperature increases, the pressure will remain constant; and by decreasing channel height as temperature increases, the pressure will increase.