Methods and apparatus to measure flow of a drilling fluid composition include a test housing including a test matrix located between an inlet and an outlet, a test valve connected between the inlet of the test housing and a fluid reservoir, and a pressure assembly configured to apply pressure to drilling fluid contained in the fluid reservoir. The apparatus and methods further include a sample valve connected to the outlet of the test housing and a measurement device configured to measure a filtrate fluid flowing through the outlet. A method to measure flow of a drilling fluid includes measuring an amount of filtrate fluid flowing through the test matrix as a function of time.