Research Article
Mathematical Modeling of the Impact of Temperature and Elevated Sickle Cell Concentration on MHD Blood Flow Through a Porous Atherosclerotic Channel
Issue:
Volume 11, Issue 2, June 2026
Pages:
28-40
Received:
12 March 2026
Accepted:
23 March 2026
Published:
10 April 2026
Abstract: This study offers a comprehensive mathematical and computational investigation of the combined effects of temperature gradient and high sickle cell concentration on blood circulation through a porous atherosclerotic channel in the presence of an applied magnetic field. The model incorporates key physiological and physical mechanisms, including magnetohydrodynamics (MHD), heat transfer, mass transport, porous medium resistance, and chemical reaction effects, to simulate realistic blood flow behavior under pathological conditions. The governing equations for momentum, energy, and concentration were formulated using appropriate assumptions for incompressible, electrically conducting blood flow. These equations were non-dimensionalised to identify important controlling parameters such as the Hartmann number (magnetic field strength), Grashof number (thermal buoyancy), solutal Grashof number (concentration buoyancy), Prandtl number, Schmidt number, porosity parameter, and chemical reaction parameter. Analytical methods were employed to obtain solutions, which were further analyzed through graphical and computational techniques. The results reveal that increased sickle cell concentration significantly increases flow resistance, leading to a reduction in velocity and impaired blood circulation, particularly in the presence of arterial narrowing due to atherosclerosis. The temperature gradient plays a dual role: it enhances fluid motion through buoyancy effects while also influencing viscosity and thermal diffusion. The applied magnetic field introduces a Lorentz force that suppresses fluid velocity, thereby providing a potential mechanism for controlling abnormal blood flow. The study demonstrates that the interaction between magnetic field, temperature gradient, and sickle cell concentration has a significant impact on blood flow characteristics in porous, diseased arteries. This work contributes to the advancement of biomedical fluid dynamics by offering a more realistic model for analyzing blood flow in pathological environments. It has potential applications in the design of medical treatments, such as magnetic field-assisted therapy, targeted drug delivery, and improved diagnostic understanding of circulatory disorders associated with sickle cell disease and atherosclerosis.
Abstract: This study offers a comprehensive mathematical and computational investigation of the combined effects of temperature gradient and high sickle cell concentration on blood circulation through a porous atherosclerotic channel in the presence of an applied magnetic field. The model incorporates key physiological and physical mechanisms, including magn...
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Research Article
Nonlinear Mathematical Modelling of Autocatalytic Redox-mediated Electroreduction of Halogen Oxoanions Using Taylor Series Method
Chinnathambi Kartheeswari,
Rajagopal Swaminathan*
Issue:
Volume 11, Issue 2, June 2026
Pages:
41-52
Received:
21 July 2026
Accepted:
3 August 2026
Published:
5 September 2026
DOI:
10.11648/j.mma.20261102.12
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Abstract: The present study develops a nonlinear mathematical model to investigate the kinetic behavior of autocatalytic halide anion reactions, which exhibit complex dynamic characteristics due to autocatalysis and feedback-driven reaction mechanisms. Such reactions play a significant role in nonlinear chemical kinetics and provide valuable insights into the behavior of reaction systems under varying kinetic conditions. The primary objective of this work is to formulate the governing nonlinear reaction--diffusion equations based on the fundamental principles of reaction kinetics and to derive approximate analytical solutions using the Taylor Series Method (TSM). The proposed analytical approach provides an efficient and systematic framework for approximating the concentration profiles of the reacting species while accurately capturing the nonlinear dynamics of the reaction system within its domain of convergence. The analytical solutions are employed to investigate the influence of various kinetic parameters on the concentration profiles, thereby providing a deeper understanding of the reaction mechanism and system behavior. To validate the effectiveness and accuracy of the proposed method, the analytical results are compared with numerical solutions obtained using MATLAB, demonstrating excellent agreement over the parameter ranges considered. Furthermore, numerical simulations are performed to visualize the concentration profiles of the reacting species and to illustrate the effects of different kinetic parameters on the system dynamics. The close agreement between the analytical and numerical results confirms the reliability, accuracy, and computational efficiency of the Taylor Series Method for solving nonlinear reaction models. The mathematical analysis presented in this study enhances the understanding of autocatalytic halide anion reaction kinetics and establishes a reliable analytical framework for investigating similar nonlinear reaction--diffusion systems. The proposed methodology provides compact, accurate, and computationally efficient analytical approximations that can be readily applied, validated, and extended to a broad class of nonlinear reaction--diffusion and chemical kinetic models.
Abstract: The present study develops a nonlinear mathematical model to investigate the kinetic behavior of autocatalytic halide anion reactions, which exhibit complex dynamic characteristics due to autocatalysis and feedback-driven reaction mechanisms. Such reactions play a significant role in nonlinear chemical kinetics and provide valuable insights into th...
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