Abstract : The occurrence of many sinusoidal waves with independent amplitudes, phases, and frequencies defines a multi-sinusoidal waveform. The aforementioned waveform defines the tube's shape as it undergoes cyclic compression and expansion within the context of peristaltic motion. It is the tube's shape and properties, such as the amplitude and frequency of the sinusoidal waves that will determine the magnitude and direction of the fluid flow. Various waveforms can cause a variety of different circulation patterns. This work provides a mathematical analysis of the power law model for describing the peristaltic motion of non-Newtonian fluids. Multi-sinusoidal waveforms are investigated, with the amplitude changing with axial displacement, and applied to the flow of these fluids via a tube. By employing the long wavelength and low Reynolds number approximations, the governing equations can be simplified. It is shown how to derive the equations for the axial velocity, the flux, the mean volume flow rate, the pressure gradient, and the friction force against the wall. Using MATLAB, we analyze the computational and numerical results of the previously defined flow characteristics for several indices of fluid behaviour. Intestinal flow dynamics, namely the movement of chyme from the small to the large intestine, can be studied using the present model. Biomimetic pump simulations for the transportation of toxic compounds, polymers, and other related substances are also of great importance.
Keywords : Power law fluid, Pressure drop, friction force, mean volume flow rate
Cite : Singh, U. R., & Shanker, U. (2024). Peristaltic Motion Of Power Law Fluids In A Tube Withmulti-Sinusoidal Waveform (1st ed., pp. 252-261). Noble Science Press. https://doi.org/10.52458/9788197112492.nsp.2024.eb.ch-26
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