2017•Frontiers in Mechanical EngineeringOpen access

Pulsatile Non-Newtonian Fluid Flows in a Model Aneurysm with Oscillating Wall

Sumaia Parveen Shupti, Md. Mamun Molla, Mustak Mia

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Abstract

This research presents a numerical simulation of an unsteady two-dimensional channel flow of Newtonian, and some non-Newtonian fluids using the finite volume method. The walls of the geometry oscillate sinusoidally with time. We have used the Cartesian curvilinear coordinates to handle complex geometries, i.e., arterial stents and bulges and the governing Navier-Stokes equations have been modified accordingly. Physiological pulsatile flow has been used at the inlet to characterize four different non-Newtonian models, i.e., the (i) Carreau, (ii) Cross, (iii) Modified-Casson and (iv) Quemada. We have presented the numerical results in terms of wall shear stress (WSS), pressure distribution as well as the streamlines and discussed the hemodynamic behaviors for laminar and laminar to turbulent transitional flow conditions. An increase of wall shear stress and a decrease in wall pressure are significantly observed at the stenosis throat for high Reynolds number and highly stenosed arteries. Likewise, the flow recirculation also increases if the narrowing level and the Reynolds number increases in the dilated region which eventually leads the stream to experience a transition to turbulence at $Re= 750$. The results for the fluid flow through an aneurysm just after a stenosis with oscillating wall are novel in the literature.

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This research presents a numerical simulation of an unsteady two-dimensional channel flow of Newtonian, and some non-Newtonian fluids using the finite volume method. The walls of the geometry oscillate sinusoidally with time. We have used the Cartesian curvilinear coordinates to handle complex geometries, i.e., arterial stents and bulges and the governing Navier-Stokes equations have been modified accordingly. Physiological pulsatile flow has been used at the inlet to characterize four different non-Newtonian models, i.e., the (i) Carreau, (ii) Cross, (iii) Modified-Casson and (iv) Quemada. We have presented the numerical results in terms of wall shear stress (WSS), pressure distribution as well as the streamlines and discussed the hemodynamic behaviors for laminar and laminar to turbulent transitional flow conditions. An increase of wall shear stress and a decrease in wall pressure are significantly observed at the stenosis throat for high Reynolds number and highly stenosed arteries. Likewise, the flow recirculation also increases if the narrowing level and the Reynolds number increases in the dilated region which eventually leads the stream to experience a transition to turbulence at $Re= 750$. The results for the fluid flow through an aneurysm just after a stenosis with oscillating wall are novel in the literature.

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Available abstract

This research presents a numerical simulation of an unsteady two-dimensional channel flow of Newtonian, and some non-Newtonian fluids using the finite volume method. The walls of the geometry oscillate sinusoidally with time. We have used the Cartesian curvilinear coordinates to handle complex geometries, i.e., arterial stents and bulges and the governing Navier-Stokes equations have been modified accordingly. Physiological pulsatile flow has been used at the inlet to characterize four different non-Newtonian models, i.e., the (i) Carreau, (ii) Cross, (iii) Modified-Casson and (iv) Quemada. We have presented the numerical results in terms of wall shear stress (WSS), pressure distribution as well as the streamlines and discussed the hemodynamic behaviors for laminar and laminar to turbulent transitional flow conditions. An increase of wall shear stress and a decrease in wall pressure are significantly observed at the stenosis throat for high Reynolds number and highly stenosed arteries. Likewise, the flow recirculation also increases if the narrowing level and the Reynolds number increases in the dilated region which eventually leads the stream to experience a transition to turbulence at $Re= 750$. The results for the fluid flow through an aneurysm just after a stenosis with oscillating wall are novel in the literature.

Key concepts: Pulsatile flow, Non-Newtonian fluid, Newtonian fluid, Mechanics, Generalized Newtonian fluid, Geology, Physics, Materials science

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