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Optimization of geometric indicators of a ventricular pump using computational fluid dynamics, surrogate model, response surface approximation, kriging and particle swarm optimization algorithm

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Abstract

A ventricular pump is a device used to treat patients with heart failure. In this device, the blood pressure is very important. On the other hand, the power use and efficiency are very important due to the battery volume reduction. In this study, it was attempted to introduce an optimum example of this pump using computational fluid dynamics (CFD) as an accurate method along with kriging and surrogate meta-models to reduce time and particle swarm optimization (PSO) algorithm. 5 indicators have been investigated as geometric optimization indicators in this study. Blade inlet angle, blade outlet angle, number of blades, the distance from the leading edge of the blade to the inlet eye of the pump and finally the width of the blade (viewed from the side to the blade) are the geometrical indicators analyzed in this study for their effects on the optimization. In this study, the power, efficiency, head, hemolysis and relative hemolysis have been analyzed, and hemolysis and efficiency have been introduced as the main objectives of PSO and pump head has been considered as a constraint. The introduced optimum example has reduced hemolysis more than 9% and power use more than 10% compared to the model investigated by the American Food and Drug Administration, while the efficiency has also increased by more than 2% and the related constraint to the pump head is maintained.

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Abbreviations

a 0 :

Coefficients of the polynomial

a i :

Coefficients of the polynomial

a ii :

Coefficients of the polynomial

a ij :

Coefficients of the polynomial

C :

Constant fit the hemolysis data

f(x):

Polynomial function in kriging model

Hb :

Blood hemoglobin concentration

HI :

Hemolysis index

N d :

Number of design variables

P i :

Optimal point

R :

Pipe radius

r:

Radial direction

t exp :

The exposure time of blood cells in the device

V :

Velocity

x i :

Values of design variables in the RSA model

X i :

Location of the particle

Z :

Axial direction

Z(x):

Localized deviations function in the kriging model

α :

Constant fit the hemolysis data

β :

Cotant fit the hemolysis data

\(\tau_{s}\) :

The magnitude of scalar shear stress

ν:

The velocity of blood

\(v_{i}\) :

Speed of the particle

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Authors and Affiliations

  1. Department of Mechanicaland Aerospace Engineering, Malek-Ashtar University of Technology, Isfahan, Iran

    Mohammad Saleh-Abadi

  2. Department of Engineering, Imam Ali University, Tehran, Iran

    Ahmadreza Rahmati & Amirhamzeh Farajollahi

  3. Tarbiat-Modares University, Tehran, Iran

    Ali Fatemi

  4. Aerospace Research Institute, Tehran, Iran

    Mohammad Reza Salimi

Authors
  1. Mohammad Saleh-Abadi
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  2. Ahmadreza Rahmati
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Correspondence to Amirhamzeh Farajollahi.

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Saleh-Abadi, M., Rahmati, A., Farajollahi, A. et al. Optimization of geometric indicators of a ventricular pump using computational fluid dynamics, surrogate model, response surface approximation, kriging and particle swarm optimization algorithm. J Braz. Soc. Mech. Sci. Eng. 45, 431 (2023). https://doi.org/10.1007/s40430-023-04355-y

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