Browsing by Publisher "INST MATHEMATICS & INFORMATICS"

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    Behavioural Representation of the Aorta by Utilizing Windkessel and Agent-Based Modelling
    (INST MATHEMATICS & INFORMATICS) Emek, S; Bora, S; Evren, V; Çakirlar, I
    The main objective of the present paper is to report two studies on mathematical and computational techniques used to model the behaviour of the aorta in the human cardiovascular system. In this paper, an account of the design and implementation of two distinct models is pre-sented: a Windkessel model and an agent-based model. Windkessel model represents the left heart and arterial system of the cardiovascular system in the physiological domain. The agent-based model offers a simplified account of arterial behaviour by randomly generating arterial parameter values. This study has described the mechanism how and when the left heart contracts and pumps the blood out of the aorta, and it has taken the Windkessel model one step further. The results of this study show that the dynamics of the aorta can be explored in each modelling approaches as proposed and implemented by our research group. It is thought that this study will contribute to the literature in terms of development of the Windkessel model by considering its timing and redesigning it with digital electronics perspective.
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    Numerical investigation and recurrence plot analysis of pulsating magnetohydrodynamic mixed convection over a backward facing step
    (INST MATHEMATICS & INFORMATICS) Selimefendigil, F
    In the current study, numerical investigation of pulsating magnetohydrodynamic mixed convection over a backward facing step is carried out for the range of parameters; Reynolds number (25 <= Re <= 100), Hartmann number (0 <= Ha <= 60), Strouhal number (0.1 <= St <= 1) and Gr number is kept at Gr = 10(4). The governing equations are solved with a general purpose finite element based solver. The effects of various parameters on the fluid flow and heat transfer characteristics are numerically studied. It is observed that the flow field and heat transfer rate are influenced by the variations of Reynolds, Hartmann and Strouhal numbers. Furthermore, recurrence plot analysis is applied for the analysis of the time series (spatial averaged Nusselt number along the bottom wall downstream of the step) and for a combination of different parameters, the systems are identified using recurrence quantification analysis parameters including recurrence rate, laminarity, determinism, trapping time and entropy.