Non-dimensional mathematical model of magnetized sugarcane juice by micro-filtration membrane separation

The physical properties of liquid and the filtration performance of membrane was easily modified by the magnetization process. It meant that the process of membrane separation was difficult to be analyzed because of applying the magnetic field technology. It was also hard to make clear the relationships of all the influence factors just by a simple mathematical derivation, so a suitable non-dimensional mathematical model of membrane flux was used, in order to simulate the separation process of micro-filtration membrane for the magnetized mixed sugarcane juice. The parameters of micro-filtration membrane, operating conditions and flow characteristics of feed liquid were chosen as the main factors in this process, and mathematical statistics were done aiming at the involved parameters and dimensions. A non-dimensional mathematical model was established according to the [pi] theorem, the dimensional consistency principle and the hydromechanics affinity theory. The results showed that the non-dimensional mathemat