Microbial influence on optimizing peristaltic flow in divergent channel with irreversibility analysis: A deep learning approach

In this paper the effect of electric field and rotation on the peristaltic flow of a fluid in an asymmetric channel with porous medium is studied

Heat and mass transfer analysis of peristaltic flow of Reiner-Rivlin fluid in a flexible curved channel

Abstract This article investigates the effects of peristaltic flow on a non-Newtonian Prandtl–Eyring fluid in a duct with an elliptical cross section. Using dimensionless variables and the long-wavelength approximation, the considered model is transformed into a nondimensional form. For solving the transformed mathematical model, the perturbation approach and polynomial solutions are implemented. The analytically obtained findings are analyzed and presented using a graphical depiction of numerous physical parameters. Entropy and streamline analysis are also conducted. Using graphics, the effects of various physical parameters on temperature, pressure gradient, velocity, and pressure rise are analyzed. The velocity profile exhibited a parabolic nature, which was somewhat disrupted along a minor axis. Moreover, the flow velocity gained high values at the conduit's center and gradually declined toward the conduit wall. The temperature distribution, enhanced by the Brinkman number and fluid parameter A, is parabolic along the longitudinal axis but deformed close to the boundary walls of the duct. Higher entropy formation is observed due to the fluid parameter A and the Brinkman number. From streamline analysis, it is observed that as the flowrate Q increases, the contours become larger in size but fewer in number.

Nonlinear Analysis of Ion-Slip and Surface Roughness Effects in Peristaltic Flow of Williamson Nanofluid Through a Stenosed Artery with Reference to Experimental Observations

MHD effect on a micropolar fluid's peristaltic flow through a porous medium with Heat transfer

The efficient management of heat transfer in microscale biofluid systems remains a critical challenge in biomedical engineering, particularly when dealing with complex flow environments such as electroosmotic–peristaltic transport in microchannels. Conventional single-layer flow models often fail to capture the intricate interactions between electrokinetic forces, peristaltic pumping, and dual-layer fluid structures that naturally arise in biological systems. In this study, a comprehensive heat transfer analysis is conducted for dual-layer electroosmotic–peristaltic biofluid flow in asymmetric microchannels under slip boundary conditions. The flow model incorporates two immiscible fluid layers of distinct viscosities and unequal wall zeta potentials to capture the heterogeneous nature of biological micro-vascular transport. Governing equations are developed under well-justified physical assumptions, including low Reynolds number, long wavelength approximation and small zeta potential, which are representative of microfluidic and physiological conditions. The thermal characteristics of the system are analyzed by examining the impacts of the Brinkman number, Joule heating and thermal slip conditions on the temperature distribution within the flow domain. The results demonstrated that electroosmotic strength, slip parameters and viscosity ratios significantly affect the flow dynamics. Joule heating and the Brinkman number were shown to increase the temperature distribution and promote entropy generation. The results provide new insights into the interplay between electroosmotic driving forces, peristaltic pumping and dual-layer stratification, offering potential applications in biomedical microdevices, targeted drug delivery and lab-on-a-chip technologies.

Peristaltic MHD flow of Casson hybrid nanofluids (Ta–Cu/Blood) in a non-uniform asymmetric microchannel: Influence of electro osmosis, shape factor and biomedical implications

Physics-informed neural networks for simulating nonlinear peristaltic flow dynamics: A comparative analysis

Mathematical modeling on peristaltic flow of a Prandtl fluid with effects of slip conditions and inclined magnetic field

Inspired by small intestine motility, we investigate the flow induced by a propagating pendular wave along the walls of a channel lined with rigid, villi-like microstructures. The villi undergo harmonic axial oscillations with a phase lag relative to their neighbours, generating travelling patterns of intervillous contraction. Using two-dimensional lattice Boltzmann simulations, we resolve the flow within the villi zone and the lumen, sampling small to moderate Womersley numbers. We uncover a mixing boundary layer (MBL) just above the villi, composed of semi-vortical structures that travel with the imposed wave. In the lumen, an axial steady flow emerges, surprisingly oriented opposite to the wave propagation direction, contrary to canonical peristaltic flows. We attribute this flow reversal to the non-reciprocal trajectories of fluid trapped between adjacent villi and derive a geometric scaling law that captures its magnitude in the Stokes regime. The MBL thickness is found to depend solely on the wave kinematics given by intervillous phase lag in the low-inertia limit. Above a critical threshold, oscillatory inertia induces dynamic confinement, limiting the radial extent of the MBL and leading to non-monotonic behaviour of the axial steady flux. We further develop an effective boundary condition at the villus tips, incorporating both steady and oscillatory components across relevant spatial scales. This framework enables coarse-grained simulations of intestinal flows without resolving individual villi. Our results shed light on the interplay among active microstructure, pendular wave and finite inertia in biological flows, and suggests new avenues for flow control in biomimetic and microfluidic systems.

ABSTRACT Here, the electroosmotically aided peristaltic pumping of a blood-based nanofluid flowing under the impact of heat source/sink and viscous dissipation through an asymmetric channel is investigated. The Jeffrey fluid model is adopted for predicting non-Newtonian characteristics of blood. The analysis is conducted under the lubrication theory approximation and the Debye–Hückel linearization principle for electric potential. The mathematical model linearized under the linearization approaches is solved to obtain the analytical solution for the flow characteristics using Mathematica, which is also utilized to generate graphical representations of the results. Results reveal that assisting electroosmotic forces enhance velocity, and reduce pressure gradients, while viscoelastic effects increase resistance to flow. Entropy generation and Bejan number distributions are also analyzed to assess thermodynamic irreversibility and efficiency. This study contributes to the design and optimization of microfluidic transport systems in biomedical, chemical, and engineering applications under electrokinetic and peristaltic influences.

This study investigates the peristaltic bioconvection flow of a third-grade nanofluid in the presence of autocatalysis chemical reactions and entropy generation, employing an analytical approach through Homotopy Analysis Method (HAM). The analysis highlights the influence of key governing parameters, including the Prandtl number, Brownian diffusion, thermophoresis, and the bioconvection Rayleigh number on flow, heat and mass transport as well as gyrotactic microorganisms. The results demonstrate that autocatalysis substantially alters the concentration field, while entropy generation provides valuable insight into the competition between thermal irreversibility and viscous dissipation. Improved thermophoresis and Brownian motion parameters are shown to promote heat transfer, and the bioconvection parameter regulates microorganism distribution. The findings contribute to an understanding of transport processes in complex non-Newtonian fluid systems.

This study explores the development of empirical relationships for the critical transport performance parameters, pressure rise and entropy generation in peristaltic flow of Bingham fluid through curved channel. The aim is to study structural fluid dynamics to evaluate the interaction between fluid transport and channel geometry by considering effects of curved channel structure on pressure distribution, and heat losses and hence improving efficiency. To do so a consistent correlations of input parameters like curvature, Bingham number, and Brinkman number and the corresponding output responses is developed using a combination of Response Surface Methodology (RSM) and Artificial Neural Networks (ANNs). Numerical solutions of the governing equations are obtained using MATLAB’s bvp4c solver, ensuring precise modeling of the flow dynamics. Optimiality is ensured by parameter sensitivity analysis and residual assessments reveal that the Bingham number has a significant impact on pressure rise, while the curvature parameter plays a pivotal role in entropy generation. Although the Brinkman number has minimal effect on pressure rise, its influence on entropy generation exhibits a complex, parameter-dependent behavior. The developed models are rigorously validated, showing strong predictive accuracy with low error margins and high correlation coefficients across training, testing, and validation phases. The findings of this research offer critical insights into optimizing peristaltic flow in practical, non-Newtonian fluid systems, contributing to the advancement of fluid management technologies and systems efficiency.

Abstract Improving heat transfer in biomedical liquid flows plays a crucial role in enhancing the performance of medical devices, targeted drug delivery systems, and thermal treatment techniques. This research tackles the drawbacks of traditional fluids in complex physiological conditions by employing a nanofluid to enhance the thermal efficiency of peristaltic blood flow. Therefore, radiative bioconvection peristaltic flow of peristaltic flow of Eyring‐Powell nanomaterial is considered. Effects of Joule heating and viscous dissipation are examined in this study. Symmetric channel walls are compliant in nature. A first‐order chemical reaction is present in mass transport. Furthermore, the effects of Brownian diffusion and thermophoresis are thoroughly explained using Buongiorno's model. The formulated complex constitutive equations are transformed into their dimensionless form through suitable similarity transformations and subsequently solved numerically. Velocity, thermal field, concentration, and heat transfer rate through influential variables are graphically visualized. Present attempt relevance in areas like biomedical, engineering, microfluidics, and energy processes, where precise fluid control and heat transfer are critical.

ABSTRACT The present research examines the peristaltic blood flow by applying double diffusive convection confined in a non-uniform channel. The purpose is to study the impact of thermal radiation along with induced magnetic force utilizing the supposition of long wavelength and low Reynolds number. The study covers the impact of thermal radiation and double diffusion which has significant implementation in the public health sector. Moreover, the induced magnetic flux, used in Magnetic Resonance Imaging, is for diagnostic purposes in medicines and in therapies. Thermal radiation impact has been revealed under non-linearized Rosseland assumptions. The basic equations are first designed to simulate and then simplified using appropriate non-dimensional components. The resultant equations are numerically solved to evaluate the solution of pressure gradients, velocity, solute concentration, raise pressure, and nanoparticle volume fraction. The effectiveness of different emerging factors defining non-Newtonian hydrodynamic flow, such as the radiation parameter, Prandtl number, Hartmann number, Eckert number, particle volume fraction, electric field, and non-uniform parameter, is graphically demonstrated. The findings reveal the significant impact of Brinkman number on the temperature of the fluid. Thermal diffusion or conductivity increases with the rise in Brinkman number, and consequently the fluid’s temperature increases. On the other hand, the decline in the concentration of the fluid is observed with increased Brinkman number. In addition, an increase in Soret and Dufour numbers also enhances the thermal diffusion and temperature which ultimately raises the fluid temperature. Heat radiation directly affects the concentration causing it to increase.

This study focuses on developing a mathematical model for the bioconvective peristaltic propulsion of a saline-based hybrid nanofluid containing motile microorganisms through an endoscope. The flow phenomenon is further assisted by electroosmosis. Single-walled and multi-walled carbon nanotubes are employed to prepare the blood-based hybrid nanofluid. The modified Buongiorno model is utilized to incorporate the effects of nanotubes, with a comparison presented between two thermal conductivity models specified for nanotubes: the Xue model and the Yamada–Ota model. Furthermore, the energy equation is modified to include space- and temperature-dependent heat sources/sinks as well as Joule heating. Second-order slip boundary conditions for velocity are assumed at the outer wall of the endoscope. The formulated system of equations is nondimensionalized and simplified under the long-wavelength approximation. The resulting nonlinear and coupled differential equations are solved using the explicit Runge–Kutta method in Mathematica. Flow characteristics are analyzed graphically under varying parameter values, and it is observed that the Yamada–Ota model predicts enhanced thermal properties of the hybrid nanofluid more effectively. A decline in fluid velocity is observed with increasing bioconvective Rayleigh number. Moreover, increasing the oxygen consumption parameter by a factor of 2 results in a 6.69% decrease in oxygen concentration. When the fraction of nanotubes of both types increases from 1% to 2%, the Xue model predicts a 5.32% drop in temperature, whereas the Yamada–Ota model predicts a 6.94% drop.

This study investigates the peristaltic transport of a Cross fluid within a curved channel exhibiting symmetric wall motion and temperature-dependent thermal conductivity. Motivated by real-world applications in biomedical pumping, targeted drug delivery, and heat-sensitive fluid systems, the study captures the intricate coupling between wall curvature, shear-thinning fluid behavior, and thermal variability. The non-Newtonian Cross fluid model provides a realistic representation of complex biological fluids, while the inclusion of temperature-dependent thermal conductivity reflects practical thermal dynamics in physiological and industrial processes. A highly nonlinear system of coupled equations governing velocity, temperature, and concentration fields is formulated and solved numerically using Mathematica's powerful NDSolve function. To enhance predictive capability and computational efficiency, a TensorFlow-based artificial neural network (ANN) framework is developed and trained on the generated data. The ANN model demonstrates high accuracy in replicating fluid behavior and significantly reduces computation time. The results reveal the profound influence of governing parameters on flow structure, thermal distribution, and solute transport, offering valuable insights for optimizing peristaltic devices and thermal regulation systems in medical and engineering domains.

This study analytically explores the peristaltic flow and heat transfer of a couple-stress fluid in the annular space between coaxial inclined tubes, where the outer wall exhibits sinusoidal motion. The governing equations, simplified under long-wavelength and low Reynolds number assumptions, are solved using the Adomian decomposition method. Key effects of magnetic field strength, wall slip, porous media permeability, peristaltic amplitude, and internal heat generation are examined. Results show that wall slip reduces near-wall shear, while magnetic fields enhance pressure gradients and dampen flow via Lorentz forces. Our results quantify several critical interactions. For instance, applying a magnetic field was found to increase the pressure gradient required to drive the flow by approximately 50%, while also dampening the axial velocity by about one-third. Conversely, introducing slip at the boundary reduced near-wall shear stress by 17%, and the use of a porous medium enhanced the axial flow speed by 35% while reducing friction. These findings offer insights into optimizing biomedical and industrial peristaltic systems, such as drug delivery and endoscopy, by balancing flow efficiency, shear control, and energy demands. Future work may involve experimental validation and Multiphysics optimization for practical applications.

Background: Improving heat transfer in biomedical fluid dynamics is essential for increasing the effectiveness of medical devices, targeted drug delivery systems, and thermal treatment techniques. This research overcomes the drawbacks of traditional nanofluids in complex physiological settings by proposing a new hybrid nanofluid aimed at enhancing thermal efficiency in peristaltic blood flow. The influence of Hall current, magnetic field, and heat source parameters on the peristaltic transport of hybrid nanofluids through a porous medium holds significant importance due to its wide-ranging applications in fluid transport, industrial operations, and biomedical engineering. Objective: The core objective is to examine the heat transfer characteristics of blood considered as a Newtonian fluid infused with a hybrid mixture of Tricalcium Phosphate Ca3 (P04)2 and Cerium Oxide CeO2 nanoparticles, as it moves through a uniform wavy channel influenced by peristaltic motion. Further, this study is also aimed to enhance the understanding of thermal transport in hybrid nanofluids under peristaltic wave motion by incorporating the effects of body forces and thermal radiation. Methodology: The governing equations are formulated based on the fundamental conservation laws of mass, momentum, and energy, and are simplified using the Debye–Hückel linearisation along with the lubrication approximation. To examine the convective heat transfer behaviour of hybrid nanofluids, the Tiwari–Das model is employed. The problem is solved analytically, yielding an exact solution with the aid of MATHEMATICA 14.1. Results: From the results it is perceived that thermal radiation parameter reduces the temperature of nano and hybrid nano fluids. Further, Darcy number significantly enlarges both the size and strength of the trapped bolus. Applications: The mathematical formulation of the problem will help to understand the basic flow structure through peristaltic waves under the contribution of nanoparticles. Further, the combined influence of peristaltic motion and electroosmotic pumping is found to considerably enhance the operational efficiency of smart pumps, with promising implications in nanotechnology and biomedical engineering.