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Assessing The Impact of Dynamic Mesh Approach within a Heart Pump Using STAR-CCM+ Mohammed G. Al-Azawy, A. Turan and A. Revell School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Manchester, England, UK 08/03/2016- Prague 1 Overview Background about the ventricle assist device Computational model of pulsatile LVAD design Modelling of the valves and pusher plate moving Computational model of continuous blood pump design Results and discussion 08/03/2016- Prague 2 The Human Heart and the heart as a pump Two upper chambers; atria (transferring) Two lower chambers; ventricles (pumping) Four valves Outlet port Inlet port Aortic valve Mitral valve Two types of heart assist device: • Total artificial hearts (TAHs) • Ventricular assist devices (VADs): LVAD or RVAD 08/03/2016- Prague 50cc Penn State (LVAD) (V2 design) Pusher plate 3 Categorization of Ventricular Assist Devices According to the development of VADs, we can rate the VADs into three generation as shown below: 1st generation: pulsatile pump 08/03/2016- Prague 2nd and 3rd generation: Rotary continuous flow 4 Dynamic modelling of valves and pusher plate All the simulations were solves via STAR-CCM+® v10.02 to solve the conservation of mass and momentum equations. The meshes were created for the 3-D simulations using both Pointwise and STAR-CCM+. An overset mesh algorithm is used for each instance of mesh motion, and a zerogap technique was employed to ensure full valve closure. 08/03/2016- Prague Overset region (b) Background region (a) Inactive cells in the small gap (c) 5 The Elliptic Blending Reynolds Stress Model (EB-RSM) is used here to capture the effects of turbulence. Two common models for Non-Newtonian blood flow (Carreau and Cross) are compared to the Newtonian model to investigate their impact on predicted levels of shear rate and 1 wall shear stress. 0.9 0.4 The0.8 forth cycle has been chosen to extract the data from the 0.7 simulation 0.6 0.3 0.2 0.1 0.5 0 Velocity (m/s) X-velocity (m/s) Spatial resolution • Five different meshes were created. • The mesh M4 (2,541,665) is selected for the following simulation. 08/03/2016- Prague -0.1 -0.2 M1 M2 M3 M4 M5 -0.3 -0.4 -0.5 -0.03 -0.02 -0.01 0 0.01 Position(m) 0.02 0.4 0.3 0.2 0.1 0.03 0 1 2 3 4 5 Cycle 6 Results and discussion (a) Comparison of mean flow field The current numerical simulations are validated against the instantaneous flow fields from the in-vitro tests of the same device. The comparisons consist of traces of instantaneous velocity magnitude at 0.2extraction points in the chamber for all models. V1 0 0.4 0.6 0.8 0 0.9 0.7 0.6 0.5 0.4 0.3 08/03/2016- Prague 0.5 0.4 0.3 0.2 0.1 0.1 0 0.1 0.2 0.3 0.4 t/T 0.5 0.6 0.7 0.8 0.9 0.8 0.6 0.2 0 0.6 Experimental EB-RSM : Newtonian EB-RSM : Carreau EB-RSM : Cross k-epsilon : Newtonian 0.8 Velocity (m/s) Velocity (m/s) 0.7 0.4 0.9 Experimental EB-RSM : Newtonian EB-RSM : Carreau EB-RSM : Cross k-epsilon : Newtonian 0.8 0.2 1 0 0 0.1 0.2 0.3 0.4 0.5 t/T 0.6 0.7 0.8 0.9 1 7 Examination of non-Newtonian blood rheologies Newtonian The valve position in the inlet and outlet ports gives rise to complexity of the flow behaviour inside the chamber throughout the cycle. For the sake of clarity the streamlines in the figure are divided into two groups( 1st group: lines 1 and 2, 2nd group: lines 3 and 4) at t/T = 0.3. It can be observed that the re-circulation regions are enlarged in the non-Newtonian models, especially in the cross model (see lines 2 and 4). This observation is significant in implying that the identification of regions of flow stagnation. 08/03/2016- Prague Carreau Cross Inlet port 1 2 3 4 8 Sensitivity of x-velocity profile of lines within the domain Diastolic phase 0.35 x-velocity (m/s) 0.35 0.3 Line a 0.3 Carreau Newtonian 0.25 0.25 0.2 0.2 0.15 0.15 0.1 0.1 0.05 0.05 0.1 Line b Line c Carreau Newtonian 0.05 Carreau Newtonian Line a Line b 0 -0.05 -0.1 -0.15 Line c -0.2 -0.25 0 0 -0.05 -0.05 -0.3 -0.1 0.6 0.8 1 1.2 1.4 -0.1 -0.35 0.6 0.8 1 1.2 1.4 -0.4 -0.4 -0.2 x/Dm x/Dm 0 0.2 0.4 x/Dch Systolic phase x-velocity (m/s) 0.1 Line e 0.1 Line c Carreau Newtonian 0.05 0 0 -0.1 -0.1 -0.2 -0.2 -0.1 -0.3 -0.3 -0.15 -0.4 -0.4 0 Line d Line e -0.05 Line c -0.2 -0.25 Carreau Newtonian -0.5 -0.5 -0.7 -1.4 -1.2 x/Da -1 -0.8 -0.6 -0.7 -0.3 Carreau Newtonian -0.6 -0.6 08/03/2016- Prague 0.1 Line d -1.4 -1.2 x/Da -0.35 -1 -0.8 -0.6 -0.4 -0.4 -0.2 0 0.2 0.4 x/Dch 9 08/03/2016- Prague 10 08/03/2016- Prague 11 Clinical issues of shear stress • • • Potential blood clot damage models concerning shear stress and exposure time. Flow patterns that contribute to the haemolysis potential include areas of raised shear stress around the valves, which contribute to platelet activation. This was investigated by plotting contours of viscous shear stress at three planes as shown in the figure for Newtonian model. 08/03/2016- Prague 1.0e+03 1.0e+02 10.0 1.00 0.1 t/T=0.0028 t/T=0.007 t/T=0.62 t/T=0.63 t/T=0.3 t/T=0.6 t/T=0.613 t/T=0.992 t/T=0.998 1.0e-02 1.0e-03 Viscous shear stress (Pa) t/T=0.8 12 The figure illustrates contour of wall shear stress (WSS). Results are displayed for the Newtonian and Carreau models. Snapshots of WSS are plotted over the surface of the chamber and the mitral zone at early/peak of diastolic phase and over the aortic zone and chamber at peak/late of systole. From the figure, it can be seen that the differences between the models are relatively low, particularly in the mitral and aortic zones. (a) Newtonian Wall shear stress (N/m2) (b) Carreau (c) Valve position t/T=0.0043 08/03/2016- Prague t/T=0.3 t/T=0.8 t/T=0.997 13 Centrifugal blood pump outlet The centrifugal blood pump proposed by FDA (Food and Drug Administration) (CBP-FDA) is a simple centrifugal type, which is composed of impeller (rotor), pump housing, inlet and outlet tube as shown in the figure. 08/03/2016- Prague Housing Rotor (Impeller) Inlet 14 Meshes were built with Pointwise (V16.04R4) and STAR-CCM+ (V10.02), as shown in the figure. From this figure, it can be observed that the mesh of inlet and outlet ports are created using structured mesh by Pointwise and Polyhedral mesh for other parts of the pump using STAR-CCM+. 08/03/2016- Prague 15 Dynamic modelling of rotor (impeller) and spatial resolution The multiple-reference frame (MRF) approach or steady-state moving reference model must be used to study the behaviour of blood flow as steady-state simulation within the CBP-FDA. The sliding mesh technique or transient rigid body motion model for unsteady. 3-D, turbulent flow using EB-RSM model. Six different cases were employed to operate the CBP-FDA. Five different meshes were used to investigate the spatial mesh required. Mesh Total mesh cells 08/03/2016- Prague Simulation cases Volume Flow Rate (L/min) Pump speed (RPM) Case 1 2.5 2500 Case 2 2.5 3500 Case 3 4.5 3500 Case 4 6.0 2500 Case 5 6.0 3500 Case 6 7.0 3500 MC1 MC2 MC3 MC4 MC5 794,490 1,758,441 3,699,425 5,691,749 7,554,649 16 Results Velocity magnitude within the blade passage and outlet Case 1 Case 1 Case 2 Case 2 Case 3 Case 3 Case 4 Case 5 Case 4 Case 6 Case 5 0.00 0.44 0.89 1.33 1.78 2.22 2.67 3.11 3.56 4.00 4.44 4.89 5.33 5.78 6.22 6.67 7.11 7.56 8.00 Velocity magnitude (m/s) Case 6 08/03/2016- Prague 17 Case 1 Shear rate to investigate the non-Newtonian effect Case 2 Case 1 Case 2 Case 3 Case 3 Case 4 Case 5 Case 4 Case 6 Case 5 0.00 28 56 83 111 139 167 194 222 250 Shear rate (1/s) 08/03/2016- Prague 278 306 333 361 389 417 444 472 500 Case 6 18 08/03/2016- Prague 19 Publications Mohammed G Al-azawy, A. Turan, and A. Revell (2016) “Assessment of turbulence models for pulsatile flow inside a heart pump”. Computer Methods in Biomechanics and Biomedical Engineering, 19:3, 271-285, DOI: 10.1080/10255842.2015.1015527. Mohammed G Al-azawy, A. Turan, and A. Revell, (2015( “Investigating the Use of Turbulence Models for Flow Investigations in a Positive Displacement Ventricular Assist Device. 6th European Conference of the International Federation for Medical and Biological Engineering, 45:395-398, DOI:10.1007/978-3-319-11128-5_255. Mohammed G Al-azawy, A. Turan, and A. Revell (2016( “Investigating the impact of nonNewtonian blood models within a heart pump” International Journal for numerical methods in biomedical engineering . (DOI: 10.1002/cnm.2780). Mohammed G Al-azawy, A. Turan, and A. Revell (2016 ( “An overset mesh approach for valve closure: an LVAD application”, 9th International Joint Conference on Biomedical Engineering Systems and Technologies (BIOSTEC 2016), Rome, Italy, February 2016. 08/03/2016- Prague 20 Thanks for your listening Questions ?? 08/03/2016- Prague 21