The HAN method for a thermal analysis of forced non-Newtonian MHD Reiner-Rivlin viscoelastic fluid motion between two disks

Azar

et al. 2023

Sci Rep

Self Cite

The motion of the fluid due to the swirling of a disk/sheet has many applications in engineering and industry. Investigating these types of problems is very difficult due to the non-linearity of the governing equations, especially when the governing equations are to be solved analytically. Time is also considered a challenge in problems, and times dependent problems are rare. This study aims to investigate the problem related to a transient rotating angled plate through two analytical techniques for the three-dimensional thin film nanomaterials flow. The geometry of research is a swirling sheet with a three-dimensional unsteady nanomaterial thin-film moment. The problem's governing equations of the conservation of mass, momentum, energy, and concentration are partial differential equations (PDEs). Solving PDEs, especially their analytical solution, is considered a serious challenge, but by using similar variables, they can be converted into ordinary differential equations (ODEs). The derived ODEs are still nonlinear, but it is possible to approximate them analytically with semi-analytical methods. This study transformed the governing PDEs into a set of nonlinear ODEs using appropriate similarity variables. The dimensionless parameters such as Prandtl number, Schmidt number, Brownian motion parameter, thermophoretic parameter, Nusselt, and Sherwood numbers are presented in ODEs, and the impact of these dimensionless parameters was considered in four cases. Every case that is considered in this problem was demonstrated with graphs. This study used modified AGM (Akbari–Ganji Method) and HAN (Hybrid analytical and numerical) methods to solve the ODEs, which are the novelty of the current study. The modified AGM is novel and has made the former AGM more complete. The second semi-analytical technique is the HAN method, and because it has been solved numerically in previous articles, this method has also been used. The new results were obtained using the modified AGM and HAN solutions. The validity of these two analytical solutions was proved when compared with the Runge–Kutta fourth-order (RK4) numerical solutions.

“…Jalili et al 26 – 28 developed the HAN method for approximating an analytical solution for a differential equation. In this part, the explanation of the HAN method is as follows:…”

Section: Mathematical Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A novel technique for solving unsteady three-dimensional brownian motion of a thin film nanofluid flow over a rotating surface

Azar

et al. 2023

Sci Rep

Self Cite

“…Another form of loss is the loss due to Joule heating [9,16] [7,14]. The investigation of a non-Newtonian Reiner-Rivlin fluid reveals that higher Reynolds numbers generally lead to increased velocities and lower temperature distributions in two infinitely revolving disks [18] and shows that an increase in the magnetic parameter corresponds to higher average axial and radial velocities, but a decrease in the average transverse velocity and temperature profile in two plates, conducted by Jalili et al, [19].…”

Section: Introductionmentioning

confidence: 99%

“…The effectiveness of the optimization method, which significantly decreases the optimization cost and produces valuable results, has been demonstrated by Kong et al, [18,24]. In power generation devices, researchers [19][20][21][22][25][26][27][28] proved that the practical implementation of RSM could enhance the performance of objectives compared to those reported in the literature. Another study that benefits from RSM optimization was established to design a small-scale wind power generator performed by Lee et al, [23,29].…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Optimization of Vortex Magnetohydrodynamics (MHD) Generator using Response Surface Methodology

Arleen Natalie,

Ridho Irwansyah,

Budiarso

et al. 2024

ARFMTS

The introduction of electromagnetic fields in fluid dynamics in magnetohydrodynamics (MHD), particularly when those fields are vector and non-uniform, complicates its application in vortex geometry. The imperative to optimize MHD generators arises from the inherent trade-off between voltage and pressure drop in energy conversion systems, to maximize voltage output while minimizing associated pressure drop. This study focuses on optimizing vortex MHD generators by applying Response Surface Methodology (RSM), which is based on mathematical models that capture the complex relationships between factor and response variables. This method offers a comprehensive approach to obtaining the optimum solution to the objectives, voltage and pressure drop, based on fluid velocity and magnetic field strength input parameters. Numerical optimization RSM generates 11 solutions. The optimum solutions obtained are a velocity of 1.415 m/s, and magnetic field strength of 0.43 T, and the corresponding optimum output voltage and pressure drop will be 4.264 mV and 4.254 psi, respectively, with a desirability level of the selected solution is 0.770. This study suggests the RSM method shows a good measurement of R2 and RSME. Our findings contribute to the understanding of optimizing vortex MHD generators and offer insights into achieving efficient energy conversion systems of a set of optimum generator operating parameters.

Numerical study of aphron drilling crosser fluids coating layer incorporated blood with zinc oxide (ZnO) nanoparticles injected in esophagus

Akbar,

Hussain,

Muhammad

2024

Z Angew Math Mech

This study aims to explore a novel cross model for peristaltic flow, which has not been previously addressed. The focus is on investigating the peristaltic flow of an incompressible nanofluid within a vertically uniform channel. The current model has application in drug delivery, biomedical engineering, lab on chip etc. Utilizing peristaltic flow for drug delivery systems in symmetric channels offers precise control over fluid motion, non‐Newtonian fluids, such as polymer solutions used in drug formulations, exhibit complex flow behavior that can be manipulated through peristaltic pumping mechanisms. This application has the potential to revolutionize targeted drug delivery, enhancing therapeutic efficacy and minimizing side effects. Studying peristaltic flow in symmetric channels for non‐Newtonian fluids offers interdisciplinary insights and innovative applications. Understanding fluid rheology, channel geometry, and peristaltic pumping can lead to novel strategies for fluid control, with implications for healthcare, biotechnology, and materials science advancements. To simplify the complex system of nonlinear partial differential equations governing the flow, we consider long wavelengths and low Reynolds numbers. Subsequently, we employ Shooting methods to solve this system of equations, providing a comprehensive evaluation of the numerical results for key parameters such as velocity, temperature, concentration, and pressure gradient. The findings are presented through graphical representations of significant flow parameters.