A numerical simulation study on the vibrational dynamic cross-flow filtration for the recovery of lignin using Computational Fluid Dynamics(CFD)is conducted.The fixed fan blade speed is set at 1 000 r/min.The study investigated the flow field under varying inlet pressures of 0 to 0.25 MPa and 0 to 0.30 MPa,and frequencies ranging from 0 to 8 Hz.The research revealed that during the dynamic cross-flow process,the introduction of vibration effectively increased the shear force on the membrane surface.Under no vibration conditions,the membrane surface shear forces are 158 Pa and 182 Pa.Under 8 Hz conditions,the membrane surface shear forces increased to 171 Pa and 213 Pa,representing an 8%and 17%increase,respectively.Simulation results indicated that both the pressure magnitude and the frequency of dynamic pressure are the main factors affecting membrane surface shear forces.Furthermore,in the absence of cross-flow,the waveform of the membrane surface shear force over time is consistent with the waveform of the changing pressure.Under no vibration conditions with a pressure of 0.25 MPa,the average membrane surface shear force is 50.5 Pa,and with vibration,the average maximum shear force on the membrane surface is approximately 57.5 Pa,confirming that vibration can increase the membrane surface shear force.