Numerical study for MHD peristaltic flow of nanofluid with variable viscosity in the porous channel

This study examines the flow rate, Bejan number transportation, concentration distribution and thermal characteristics of an immiscible couple stress‐ micropolar fluids within a porous channel. The authors focus on the effects of heat radiation and an angled magnetic field on the thermal dispersion, concentration distribution and entropy formation of two different types of incompressible immiscible micropolar and couple stress fluids inside a porous channel. Here, the static walls of the channel are isothermal, and the pressure gradient in the flow domain's entrance zone is constant. In this flow problem, we tried to simulate thermal radiation in the energy equation by applying Rosseland's diffusion approximation. To solve the problem, the authors have used no‐slip conditions at the channel's immovable walls, a continuity of temperature profile, shear stresses, thermal flux, linear velocity, and micro‐rotational velocity over the fluid‐fluid interface. The equations that govern the flow of immiscible fluids are solved using a well‐defined methodology and both the temperature and flow field are then evaluated using a closed‐form solution. The mathematical results of the thermal distribution and flow velocity are used to derive the Bejan number distribution and the entropy generation number. Graphical discussions are used to illustrate the impact of different emerging factors on the model's flow and thermal properties, which describe the major impact of the proposed model. These variables involve the micropolarity parameter, Reynolds number, inclination angle parameter, radiation parameter, and Hartmann number. The outcomes of the present models are corroborated by previously established results available in the literature.

Heat and mass transfer analysis of non‐miscible couple stress and micropolar fluids flow through a porous saturated channel

Kumar,

Yadav

2024

Mathematical modeling and analysis for radiative MHD peristaltic flow of Bingham nanofluid

Nisar,

Ahmed,

Aziz

et al. 2024

The current study elaborates the mathematical modeling for peristaltic transport of Bingham nanoliquid in symmetric channel with thermal radiation. Here we used non‐Newtonian fluid model (Bingham model) define as Channel boundaries are complaint nature. The equations for the flow and heat/mass transport, incorporating the aspects of thermophoresis and Brownian motion, were derived using Buongiorno's nanofluids framework. Thermal transport involves the existence of Ohmic heating and viscous dissipation consequences. The model's governing equations are derived, made simpler by using long wavelengths and small Reynolds number assumptions. Numerical techniques are utilized for finding the solution of nonlinear system of equations. Velocity, concentration, temperature, and rate of heat transfer are analyzed graphically. The findings of these investigations could improve fluid dynamics and gastrointestinal movements in a variety of engineering systems. This examination also sheds light on the physiological fluids’ easy movement through the capillaries and arteries, which supports the movement of nutrients, blood circulation, oxygen delivery, waste elimination, temperature regulation, and other essential components within the human organism.

Peristaltic flow of MHD Casson nanofluid with heat source/sink and thermal radiation

Nisar,

Muhammad,

Aldosari

et al. 2024

The significance of peristaltic activity in biological and biomedical engineering has recently received a lot of attention. Peristaltic pumping and heat transfer in magnetohydrodynamic biological fluids are fascinating topics with a wide range of physiological applications. These applications include dialysis, medication injection, cardiac surgery equipment, and cancer treatments. In this work, we investigate the characteristics of Casson fluid and peristalsis in a symmetric elastic tube. Buongiorno nanofluid model is taken with the features of thermophoresis and Brownian motion. The heat transfer mechanism is analyzed by acquiring the effects of heat dissipation, absorption/generation, and thermal radiation. A long wavelength is also anticipated when developing the flow model, which is predicated on a short Reynolds number. The non‐linear system of equations is numerically solved. Graphical outcomes are acquired to visualize the physical interpretation of several embedded parameters for heat transfer rate, concentration, velocity, and temperature.