Density p [kg/m2], viscosity - u [kg/ms], surface tension - o (N/m=kg/s2] compressibility K [Pa-kg/ms2] 1. For particle...
Density p [kg/m2], viscosity - u [kg/ms], surface tension - o (N/m=kg/s2] compressibility K [Pa-kg/ms2] 1. For particles settling in a stationary fluid it is thought that the drag force FD of a small sphere is a function of the settling velocity of the sphere - V, the diameter of the sphere - d, and the density p, and viscosity of the fluid - . Determine the dimensionless relationship(s) between these variables (FD/HVd, pdV/H) 2. (a) The efficiency of a pump -n, is known to be a function of the pressure developed - Ap, the impellor diameter -D, impellor rotational speed - N, and the flow rate through the pump - Q and the fluid present. Use dimensional analysis to develop an expression for the efficiency as a Ap function of the II terms pN D2 *ND (b) A model pump is to be used to estimate the performance of a full scale prototype. The model is a 1/5 scale and the efficiency is found to be 66% with the pump producing 1.2kPa discharging 1.8L/s and running at 120rev/min. If the full scale pump is to run at 60rpm what will the pressure and flow rate be to achieve the same efficiency.
Density p [kg/m2], viscosity - u [kg/ms], surface tension - o (N/m=kg/s2] compressibility K [Pa-kg/ms2] 1. For particles settling in a stationary fluid it is thought that the drag force FD of a small sphere is a function of the settling velocity of the sphere - V, the diameter of the sphere - d, and the density p, and viscosity of the fluid - . Determine the dimensionless relationship(s) between these variables (FD/HVd, pdV/H) 2. (a) The efficiency of a pump -n, is known to be a function of the pressure developed - Ap, the impellor diameter -D, impellor rotational speed - N, and the flow rate through the pump - Q and the fluid present. Use dimensional analysis to develop an expression for the efficiency as a Ap function of the II terms pN D2 *ND (b) A model pump is to be used to estimate the performance of a full scale prototype. The model is a 1/5 scale and the efficiency is found to be 66% with the pump producing 1.2kPa discharging 1.8L/s and running at 120rev/min. If the full scale pump is to run at 60rpm what will the pressure and flow rate be to achieve the same efficiency.