1. The leakage flow of hydraulic fluid through the two fixed parallel plates may be modeled as a laminar flow as shown i
Posted: Thu May 05, 2022 6:16 pm
1. The leakage flow of hydraulic fluid through the two fixed parallel plates may be modeled as a laminar flow as shown in the figure below. The equation governing the flow can be represented as follows: d'u_dp μ- dy² dx where μµ is the dynamic viscosity of the fluid and equals to 0.02 N-s H is the vertical m² dp gap between two plates and its value is 0.01 mm. is the constant pressure drop with a dx value -108 Pau is the fluid velocity. Assume an approximate fluid velocity m u(y) = c, sin Please use Least-Squares method to obtain c, as well as approximated H equation of u in symbolic format. Then based on the equation, calculate the max velocity Umax. u(y) H