THERMAL AND FLOW CHARACTERISTICS OF TWO-PHASE ELLIS FLUID IN A SYMMETRIC WAVY CHANNEL: APPLICATIONS TO BIOMEDICAL SYSTEMS

This study investigates heat transfer characteristics in the biphase flow of an Ellis fluid model within a sinusoidal wavy horizontal symmetric channel. A two-phase mathematical model incorporating the stress tensor contribution of the Ellis fluid is developed to analyze peristaltic motion under the influence of a uniform heat source. By employing the assumptions of long wavelength and low Reynolds number, the governing equations are simplified into a tractable form, and exact solutions for velocity and temperature distributions are obtained using Mathematica 14.2. The results reveal that the first and second Ellis fluid parameters significantly reduce the velocity profiles in the core region of the channel, while the temperature distribution exhibits an inverse relationship with these parameters. The suspension of particles and the heat source parameter enhance the heat transfer rate by up to 29% and 38%, respectively, for two successive parameter increments. Furthermore, the fluid phase velocity is found to be lower than the particle phase velocity. The findings of this study provide valuable insights into improving blood flow in biological vessels and offer practical implications for enhancing drug delivery efficiency and optimizing the design and performance of biomedical devices involving two-phase non-Newtonian fluid transport.

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