THERMAL SCIENCE

International Scientific Journal

Azhar Ali

,

Aziz Khan

,

Aftab Alam

,

Nawaz Dil Khan

,

Kamran Abdeljawad

,

Thabet Abdeljawad

MULTIPLE SERIES SOLUTIONS OF VISCOUS FLOWS OVER A STRETCHING/SHRINKING AND POROUS SHEET

ABSTRACT
The viscous fluid-flow over a stretching (shrinking) and porous sheets of non-uniform thickness is investigated in this paper. The modeled problem is presented by utilizing the stretching/shrinking and porous velocities and variable thickness of the sheet. Consequently, the new problem reproduces the different available forms of flow motion maintained over a stretching/shrinking and porous sheet of variable thickness in one go. As a result, the governing equations are embedded in several parameters which can be transformed into classical cases of stretched/shrunk flows over porous sheets. A set of general, unusual and new variables is formed in order to simplify the governing PDE and boundary conditions. Three different series solutions of the final ODE are presented. A single analytical solution is not sufficient to predict the exact effects of all parameters on the flow field properties. The problem is solved by a power and two asymptotic series methods. The results are verified by providing a powerful numerical solution the problem. A complete set of solutions is provided and comparison of the solutions with classical models is established for appropriate values of the parameters which is shown in different graphs and tables.
KEYWORDS
permeable (impermeable) and moving sheet, series solutions
PAPER SUBMITTED: 2022-07-01
PAPER REVISED: 2022-07-14
PAPER ACCEPTED: 2022-07-15
PUBLISHED ONLINE: 2023-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI23S1185A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Special issue 1, PAGES [185 - 194]
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Multiple series solutions of viscous flows over a stretching/shrinking and porous sheet

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence