In our attempt to simulate blood flow through arteries mathematical modelling for cardiovascular system are popular. These mathematical models are also used to predict the dynamical patterns in the pathological and psychological condition. Due to complexities arising out of mechanical properties of the arterial wall, time dependence and the underlying geometry, any comprehensive model is difficult to find. At some level, simplification attempts have been made up to various degrees, in accordance with the scale of the phenomena under our study. Agrawal, B., Kumar, S., Rakshit, S. (2022). shows a mathematical study of the flow of the non-Newtonian fluid, blood through arterial segment affected by stenosis [20]. The physical dimension of the model is one of our concern. Like electrical circuits, different complex regions of the vascular system are collected in simple compartments and connected to form a closed loop. The desired degree of detail has a correlation with the number of blocks. Many zero-dimensional models (also known as lumped parameter model) have been developed for the cardiovascular system in general or for its specific parts. Usage of such an approach preferred at the developing a model for the circulatory system becomes a possibility. Although, they do not provide any information on the mechanical fluid-wall interaction, but they provide the evolution of the mean flow variables. One dimensional models are in used, when we deal with the wave Propagation phenomena. Over the cross section, the flow motion equations are arranged, thus obtaining the one dimensional models. A high degree of approximation is included keeping in mind the hypothesis that one spatial dimension is prevalent over the others. In our study we have dealt with a simple one-dimensional model for fluid structure problem describing the flow of blood and the wave propagation in a segment of an artery. The arterial wall is thought of as an axisymmetric membrane that can be deform either in radial or longitudinal direction under the action of the force exerted by the fluid. Khan, R. A., & Agrawal, B. D. (2021) present explanatory solutions for transient flow of Newtonian fluid through miniature channels with Navier slip limit. The induction of the arrangements depends on Fourier arrangement development in space [16]. In (2021) IA Tantry, S Wani, B Agrawal shows the effect of radiation on steady MHD boundary layer flow over an exponentially stretching sheet was investigated [17].

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