BME 101 Lecture Notes - Lecture 14: Volumetric Flow Rate, Mass Flow Rate, Newtonian Fluid
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Sheer stress f/a = mew * (dv/dy) dv/dy = velocity gradient, mew = viscosity constant in pa*s or nsm-2 kg/ms = g/cms = poise. Rate at which volume of fluid passes at a location. Denoted as q or v(dot hat) or dv/dt (all are same), while curvy/cursive v to denote velocity and v is volume. When discussing q, fluid at edges is slower at edges due to friction and the viscosity concept, thus we use average velocity for volume flow rate. (applicable to blood in veins/arteries/capillaries). Q = v velocity * cross-sect. area: mass flow rate. Rate at which mass of fluid passes at a location. Denoted as m (dot hat) or dm/dt. M (dot hat) = density * v (dot hat) The mass that enters the system will either accumulate or move, no masses can be created or destroyed because the area changed. M(dot hat)(in) = m(dot hat)(out) + dm/dt which is the continuity.