Results 31 to 40 of about 4,171 (232)

Impact of Darcy–Forchheimer Inertial Drag and Heat Dissipation on Micropolar Hybrid Nanofluid Flow via Expanding Surface

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The hybrid nanofluid integrated with micropolar fluid shows growing interest due to the enhanced thermal performance in microscale devices. These improved properties are due to their greater thermal conductivity and rotational effects. The proposed study assesses the significance of velocity slip on the flow characteristic of micropolar ...
P. P. Nayak, S. R. Mishra, Priya Mathur, Subhajit Panda   +3 more
wiley   +1 more source

Dissipative Heat Impact on the Non‐Newtonian Walter's B Nanoliquid Over an Elongating Surface Through a Permeable Medium

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The utilisation of viscoelastic Walter's B nanoliquid in engineering and biomedical applications gained substantial attention because of its ability to provide real‐time fluid behaviour, particularly in the heat flow mechanism. In particular, the flow of viscoelastic fluid over an elongating surface is useful in polymer processing and ...
Laxmipriya Swain, Subhajit Panda, S. R. Mishra, Rupa Baithalu   +3 more
wiley   +1 more source

The Homotopy Analysis Method in Turning Point Problems [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2020
In this paper, we used the homotopy analysis method to ordinary differential equations of type boundary value problems with a parameter representing turning points."To show the high accuracy of the solution results, we compare the numerical results ...
Rasha Ahmed, Waleed Al-Hayani
doaj   +1 more source

Bioconvective Chemically Reactive Radiative Squeezing Flow of a Casson Hybrid Nanofluid Between Two Parallel Plates Under Variable Viscosity

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Hybrid nanofluids, known for their superior thermal and electrical conductivity, have demonstrated remarkable potential in enhancing the heat transfer capability of conventional base fluids. This study analyzes the effects of viscous dissipation and heat radiation on two‐dimensional unsteady incompressible squeezing flow transporting hybrid ...
Hajra Batool, Dur‐e‐Shehwar Sagheer, Muhammad Sabeel Khan, Hassan Shahzad   +3 more
wiley   +1 more source

Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method

International Journal of Differential Equations, 2011
The homotopy analysis method (HAM) is employed to obtain symbolic approximate solutions for nonlinear coupled equations with parameters derivative. These nonlinear coupled equations with parameters derivative contain many important mathematical physics ...
Sohrab Effati, Hassan Saberi Nik, Reza Buzhabadi   +2 more
doaj   +1 more source

Explicit Solutions to Large Deformation of Cantilever Beams by Improved Homotopy Analysis Method I: Rotation Angle

Applied Sciences, 2022
An improved homotopy analysis method (IHAM) is proposed to solve the nonlinear differential equation, especially for the case when nonlinearity is strong in this paper.
Yinshan Li, Xinye Li, Shuhao Huo, Chen Xie   +3 more
doaj   +1 more source

Two‐Phase Nanofluid Flow in a Non‐Newtonian Model Past a Deformable Sheet With Magnetized Environmental Effects: Statistical Modeling and ANOVA Analysis

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This paper presents a comprehensive numerical analysis of magnetohydrodynamic (MHD) Casson nanofluid movement over a permeable, linearly stretching sheet, integrating the contributions of non‐uniform heat generation or absorption and chemical interaction.
Manoj Kumar Sahoo, MD. Shamshuddin, Subhajit Panda, Umair Khan   +3 more
wiley   +1 more source

Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method [PDF]

Iranian Journal of Optimization, 2010
In this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered.
H. Saberi-Nik, S. Effati, R. Buzhabadi
doaj  

Convergent Homotopy Analysis Method for Solving Linear Systems

Advances in Numerical Analysis, 2013
By using homotopy analysis method (HAM), we introduce an iterative method for solving linear systems. This method (HAM) can be used to accelerate the convergence of the basic iterative methods. We also show that by applying HAM to a divergent iterative scheme, it is possible to construct a convergent homotopy-series solution when the iteration matrix G
H. Nasabzadeh, F. Toutounian
openaire   +2 more sources

Direct Numerical Simulation of Magnetohydrodynamic Slip‐Flow Past a Stretching Surface Using Physics‐Informed Neural Network

Heat Transfer, EarlyView.
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley   +1 more source