[HTML][HTML] Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method

A Yıldırım - Computers & Mathematics with Applications, 2008 - Elsevier
In this study, the homotopy perturbation method proposed by Ji-Huan He is applied to solve
both linear and nonlinear boundary value problems for fourth-order integro-differential …

Film flow of nano-micropolar fluid with dissipation effect

AA Siddiqui, M Turkyilmazoglu - CMES-Computer Modeling in Engineering …, 2024 - Elsevier
The physical problem of the thin film flow of a micropolar fluid over a dynamic and inclined
substrate under the influence of gravitational and thermal forces in the presence of …

On the similarities between the simplified Phan-Thien–Tanner model and the finitely extensible nonlinear elastic dumbbell (Peterlin closure) model in simple and …

M Davoodi, K Zografos, PJ Oliveira, RJ Poole - Physics of Fluids, 2022 - pubs.aip.org
For many commonly used viscoelastic constitutive equations, it is well known that the limiting
behavior is that of the Oldroyd-B model. Here, we compare the response of the simplified …

Fractional analysis of thin-film flow in the presence of thermal conductivity and variable viscosity

F Ismail, M Qayyum, I Ullah… - Waves in Random …, 2022 - Taylor & Francis
This article contains a fractional analysis of the thin-film steady flow of magneto-
hydrodynamic fluid with variable viscosity and thermal conductivity by permeable stretched …

Numerical exploration of thin film flow of MHD pseudo-plastic fluid in fractional space: Utilization of fractional calculus approach

M Qayyum, F Ismail, M Sohail, N Imran, S Askar… - Open Physics, 2021 - degruyter.com
In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical
wall through homotopy-based scheme along with fractional calculus. Three cases were …

Modeling and analysis of thin film flow of Fuzzified Johnson Segalman nanofluid using fuzzy extension of He-Laplace scheme

M Qayyum, A Tahir, A Bariq, A Akgül… - … Computer Modelling of …, 2023 - Taylor & Francis
The concept of fuzzy calculus in fluid modelling offers a feasible approach to address
ambiguity and uncertainty in physical phenomena. This study aims to model and analyse …

An Application of Homotopy Perturbation Method to Fractional‐Order Thin Film Flow of the Johnson–Segalman Fluid Model

M Qayyum, F Ismail, SI Ali Shah… - Mathematical …, 2022 - Wiley Online Library
Thin film flow is an important theme in fluid mechanics and has many industrial applications.
These flows can be observed in oil refinement process, laser cutting, and nuclear reactors …

An optimistic solver for the mathematical model of the flow of Johnson Segalman fluid on the surface of an infinitely long vertical cylinder

NA Khan, FS Alshammari, CA Tavera Romero… - Materials, 2021 - mdpi.com
In this paper, a novel soft computing technique is designed to analyze the mathematical
model of the steady thin film flow of Johnson–Segalman fluid on the surface of an infinitely …

Stagnant rings and uniform film analysis of Phan-Thien Tanner fluid film flow on a vertically upward moving tube

A Walait, H Ashraf, D Chou, HU Rehman - Physics of Fluids, 2024 - pubs.aip.org
Analyzing Phan-Thien Tanner fluid film behavior on a vertically upward moving tube can
help predictive models in engineering, notably in coating and lubrication operations. This …

Time periodic pulse electroosmotic flow of Jeffrey fluids in a circular microchannel under the depletion effect

D Li, K Li - Journal of Mechanical Science and Technology, 2022 - Springer
We used the Laplace transform method to investigate the time periodic pulse electroosmotic
flow (EOF) of linear viscoelastic fluids through a circular microchannel driven by pulse …