A Review on “Non-Newtonian Mathematical Models for Blood Flow through Constricted Artery”

Nivedita Gupta; Yashi Awasthi

doi:https://doi.org/10.14445/22315373/IJMTT-V72I3P107

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 72 | Issue 3 | Year 2026 | Article Id. IJMTT-V72I3P107 | DOI : https://doi.org/10.14445/22315373/IJMTT-V72I3P107

A Review on “Non-Newtonian Mathematical Models for Blood Flow through Constricted Artery”

Nivedita Gupta, Yashi Awasthi

Received	Revised	Accepted	Published
20 Jan 2026	25 Feb 2026	16 Mar 2026	28 Mar 2026

Citation :

Nivedita Gupta, Yashi Awasthi, "A Review on “Non-Newtonian Mathematical Models for Blood Flow through Constricted Artery”," International Journal of Mathematics Trends and Technology (IJMTT), vol. 72, no. 3, pp. 53-65, 2026. Crossref, https://doi.org/10.14445/22315373/IJMTT-V72I3P107

Abstract

Mathematical modeling is critical for understanding and predicting blood flow in the circulatory system, particularly in the presence of stenosed arteries. Cardiovascular Disorders, particularly Atherosclerosis, are major public health concerns globally and the main cause of death. Non-Newtonian Blood viscosity features have a substantial impact on blood flow dynamics, particularly in constricted arteries. Researchers usually use more complex models that account for the unique rheological features of blood in the setting of blood flow via stenosed arteries. These could include models that combine the shear-thinning tendency observed in blood with yield stress. Furthermore, realistic geometries and fluid characteristics in Computational Fluid Dynamics (CFD) simulations can provide valuable insights into flow behavior. This study discusses and compares several mathematical models commonly used by researchers to analyze blood flow, including the Carreau model, Casson model, Power-law model, and Herschel-Bulkley model. These models enable researchers to comprehend the complexity of blood flow dynamics better and make more accurate predictions in clinical practice and research. The insights gathered from these non-Newtonian models can help develop successful therapeutic strategies for controlling cardiovascular illnesses.

Keywords

Blood Flow, Stenosis, Non-Newtonian Fluid, Shear Rate, Shear Stress, Yield Stress, Viscosity.

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