Determination of the correct range of physical parameters in the approximate analytical solutions of nonlinear equations using the Adomian decomposition method

M Turkyilmazoglu - Mediterranean Journal of Mathematics, 2016 - Springer
Physical parameters in dimensionless form in the governing equations of real-life
phenomena naturally occur. How to control them by determining their range of validity is in …

[HTML][HTML] Heat transfer analysis of temperature dependent viscosity Johnson–Segalman fluid film flow on a vertical heated belt

H Ashraf, S Sabir, AM Siddiqui, HU Rehman… - Case Studies in Thermal …, 2023 - Elsevier
Understanding the behaviour of temperature dependent viscosity thin film flows on a
vertically upward moving heated belt is crucial for improving predictive models in various …

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 …

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 …

Modeling and analysis of high shear viscoelastic Ellis thin liquid film phenomena

MK Alam, KN Memon, AM Siddiqui, SF Shah… - Physica …, 2021 - iopscience.iop.org
In this paper, the Steady state thin layer flow of a viscoelastic Ellis fluid in contact with a
vertical cylinder for drainage and lift problems is examined. Closed form solutions are …

Design of bio-inspired computational intelligence technique for solving steady thin film flow of Johnson–Segalman fluid on vertical cylinder for drainage problems

MAZ Raja, FH Shah, AA Khan, NA Khan - Journal of the Taiwan Institute of …, 2016 - Elsevier
In the present study, bio-inspired computing technique is designed for solving governing
mathematical relation for steady thin film flow of Johnson–Segalman fluid on vertical cylinder …

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 …

MHD thin film flows of a third grade fluid on a vertical belt with slip boundary conditions

T Gul, RA Shah, S Islam, M Arif - Journal of Applied …, 2013 - Wiley Online Library
The problem of heat transfer analysis is considered in electrically conducting thin film flows
with slip boundary conditions. The flow is assumed to be obeying the nonlinear rheological …

Thin-film flow of magnetohydrodynamic (MHD) Johnson–Segalman fluid on vertical surfaces using the Adomian decomposition method

MK Alam, AM Siddiqui, MT Rahim, S Islam - Applied Mathematics and …, 2012 - Elsevier
In this paper, the magnetohydrodynamic (MHD) thin-film flow of Johnson–Segalman fluid for
lifting and drainage problems on a vertical surfaces are investigated. The nonlinear …

Homotopy analysis methods with applications to thin-film flow of a magnetohydrodynamic-modified second grade fluid

M Farooq, Z Ahmad, H Ahmad, M Zeb… - … Physics Letters B, 2022 - World Scientific
This study investigates thin film's drainage and lifting of a steady, non-isothermal-modified
second-grade incompressible fluid. An approximate analytical technique The homotopy …