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Abstract <p>This theoretical work employs biomedical engineering and fluid mechanics to examine blood flow dynamics in a thin, elongated artery subjected to a magnetic field and featuring porous walls. It explores the impact of linear, quadratic, and nonlinear radiations on blood flow. It also addresses the consequences of slip factors. By employing appropriate similarity transformations, the sets of partial differential equations governing the system are transformed into a set of ordinary differential equations. These are then solved utilizing the NDSolve technique in MATHEMATICA. This research offers a tangible explanation for simulating and analyzing distinct flow properties, like velocity, temperature, concentration, and microorganism motile density fields. The results demonstrate that quadratic thermal radiation produces elevated temperature levels inside blood flow compared to linear and nonlinear radiations. Bumped thermal slip establishes a lower temperature pattern in blood flow, indicating less heat exchange between the blood and the arterial wall. The Nusselt number rises in each instance with the associated rise in the unsteady parameter values. The findings corroborate the conclusions of prior studies.</p>

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Impact of Thermal Radiation on Blood Flow Temperature Dynamics in a Constricted Artery System with Multi Slips Conditions

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Prathi Vijaya Kumar,
  • Shaik Mohammed Ibrahim,
  • Kanithi Jyothsna,
  • Gurram Dharmaiah,
  • Giulio Lorenzini

摘要

Abstract

This theoretical work employs biomedical engineering and fluid mechanics to examine blood flow dynamics in a thin, elongated artery subjected to a magnetic field and featuring porous walls. It explores the impact of linear, quadratic, and nonlinear radiations on blood flow. It also addresses the consequences of slip factors. By employing appropriate similarity transformations, the sets of partial differential equations governing the system are transformed into a set of ordinary differential equations. These are then solved utilizing the NDSolve technique in MATHEMATICA. This research offers a tangible explanation for simulating and analyzing distinct flow properties, like velocity, temperature, concentration, and microorganism motile density fields. The results demonstrate that quadratic thermal radiation produces elevated temperature levels inside blood flow compared to linear and nonlinear radiations. Bumped thermal slip establishes a lower temperature pattern in blood flow, indicating less heat exchange between the blood and the arterial wall. The Nusselt number rises in each instance with the associated rise in the unsteady parameter values. The findings corroborate the conclusions of prior studies.