Current issue
Archive
About the Journal
About
Editorial Board
Abstract & Indexing
Contact
Editorial Policies
Authorship & COI
Ethical principles
Principles of Transparent Checklist
Open access
For Authors
Instructions to Authors
Detailing Guidelines for Authors
Review process
Review sheet
How to submit
Open Access license
ORIGINAL PAPER
Analysis of fractional natural convection heat transfer of G0-MOS2 engine oil in an oscillating vertical cylinder
1
Mathematics and Engineering Physics Dept.,, Engineering Faculty, Mansoura University, Mansoura,
Submission date: 2025-01-28
Final revision date: 2025-05-25
Acceptance date: 2025-10-16
Online publication date: 2026-03-16
Publication date: 2026-03-16
Corresponding author
Ibrahim Elkott
Mathematics and Engineering Physics Dept.,, Engineering Faculty, Mansoura University, Mansoura,
Mathematics and Engineering Physics Dept.,, Engineering Faculty, Mansoura University, Mansoura,
International Journal of Applied Mechanics and Engineering 2026;31(1):16-26
KEYWORDS
TOPICS
ABSTRACT
In this paper, We show using Laplace and finite Hankel transforms, how to derive exact solutions for the velocity and temperature profiles of a system of fractional differential equations which describe heat transfer by natural convection of a specific engine oil with molybdenum disulphide and graphene oxide (MoS2 + GO) hybrid nano-composites in oscillating vertical cylinder. A few figures are used to illustrate how the temperature profile and the Nusselt number are affected by the Prandtl number and the order of the fractional derivative.
REFERENCES (24)
1.
Yunus A.C. (2003): Heat Transfer: a Practical Approach.– MacGraw Hill, New York, p.210.
2.
Fetecau C., Mahmood A., Fetecau C. and Vieru D., (2008): Some exact solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinder.– Computers & Mathematics with Applications, vol.56, No.12, pp.3096-3108.
3.
Mozafarifard M. and Toghraie D. (2020): Numerical analysis of time-fractional non-Fourier heat conduction in porous media based on Caputo fractional derivative under short heating pulses.– Heat and Mass Transfer, vol.56, No.11, pp.3035-3045.
4.
El-Kalla I. (2011): Error estimate of the series solution to a class of nonlinear fractional differential equations.– Communications in Nonlinear Science and Numerical Simulation, vol.16, No.3, pp.1408-1413.
5.
Musurmanov R.K., Utaev S.А. and Kasimov I.S. (2021): Mathematical modeling of changes in the physical and chemical properties of gas engine oils.– In IOP Conference Series: Earth and Environmental Science, vol.868, No.1, p.012044.
6.
Mousazade M.R., Sedighi M., Manesh M.H.K. and Ghasemi, M. (2022): Mathematical modeling of waste engine oil gasification for synthesis gas production; operating parameters and simulation.– International Journal of Thermodynamics, vol.25, No.1, pp.65-77.
7.
Kumbár V., and Sabaliauskas A. (2013): Low-temperature behaviour of the engine oil.– Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, vol.61, No.6, pp.1763-1767.
8.
Khan I., Ali Shah N., Tassaddiq A., Mustapha N. and Kechil S.A. (2018): Natural convection heat transfer in an oscillating vertical cylinder.– PloS one, vol.13, No.1, p.e0188656.
9.
Arif M., Kumam P., Khan D. and Watthayu W. (2021): Thermal performance of GO-MoS2/engine oil as Maxwell hybrid nanofluid flow with heat transfer in oscillating vertical cylinder.– Case Studies in Thermal Engineering, vol.27, p.101290.
10.
Sobhani H., Azimi A., Noghrehabadi A. and Mozafarifard M. (2023): Numerical study and parameters estimation of anomalous diffusion process in porous media based on variable-order time fractional dual-phase-lag model.– Numerical Heat Transfer, Part A: Applications, vol.83, No.7, pp.679-710.
11.
Zhao J., Zheng L., Zhang X. and Liu F. (2016): Unsteady natural convection boundary layer heat transfer of fractional Maxwell viscoelastic fluid over a vertical plate.– International Journal of Heat and Mass Transfer, vol.97, pp.760-766.
12.
Raza A., Al-Khaled K., Khan M.I., Khan S.U., Farid S., Haq A.U. and Muhammad T. (2021): Natural convection flow of radiative Maxwell fluid with Newtonian heating and slip effects: Fractional derivatives simulations.– Case Studies in Thermal Engineering, vol.28, p.101501.
13.
Chang T., Li Y., Jiang Y., Li S., Chen X. and Ji Y. (2023): Study on unsteady natural convection heat transfer of crude oil storage tank based on fractional-order Maxwell model.– Physics of Fluids, vol.35, No.11, https://doi.org/10.1063/5.0172....
14.
Sehra S., Noor A., Haq S.U., Jan S.U., Khan I. and Mohamed A. (2023): Heat transfer of generalized second grade fluid with MHD, radiation and exponential heating using Caputo-Fabrizio fractional derivatives approach.– Scientific Reports, vol.13, No.1, p.5220.
15.
Sehra Sadia H., Haq S.U., Alhazmi H., Khan I. and Niazai, S. (2024): A comparative analysis of three distinct fractional derivatives for a second grade fluid with heat generation and chemical reaction.– Scientific Reports, vol.14, No.1, p.4482.
16.
Sadia H., Haq S.U., Khan I., Ashmaig M.A.M. and Omer A.S. (2023): Time fractional analysis of generalized Casson fluid flow by YAC operator with the effects of slip wall and chemical reaction in a porous medium.– International Journal of Thermofluids, vol.20, p.100466.
17.
Jan S.U., Haq S.U., Ullah N., Ullah W., Sehra and Khan I. (2023): Heat transfer analysis of generalized second-grade fluid with exponential heating and thermal heat flux. Scientific Reports, vol.13, No.1, p.16934.
18.
Khan S., Sadia H., Haq S.U. and Khan I. (2023): Time fractional Yang–Abdel–Cattani derivative in generalized MHD Casson fluid flow with heat source and chemical reaction.– Scientific Reports, vol.13, No.1, p.16494.
19.
Khan S., Iftikhar W., Haq S.U., Jan S.U., Khan, I. and Mohamed, A. (2022): Caputo–Fabrizio fractional model of MHD second grade fluid with Newtonian heating and heat generation.– Scientific Reports, vol.12, No.1, p.22371.
20.
Mathai A.M. and Haubold H.J. (2017): An Introduction to Fractional Calculus Book.– Hauppauge, New York, Nova Science Publishers.
21.
Debnath L. and Bhatta D. (2016): Integral Transforms and Their Applications.– Chapman and Hall/CRC.
22.
Neuman E. (2013): Inequalities and bounds for the incomplete gamma function.– Results in Mathematics, vol.63, pp.1209-1214.
23.
Chaudhry M.A. and Zubair S.M. (2002): Extended incomplete gamma functions with applications.– Journal of mathematical analysis and applications, vol.274, No.2, pp.725-745.
24.
Sandev T. and Tomovski Ž. (2019): Fractional Equations and Models: Theory and Applications.– Developments in Mathematics, Springer Cham, p.345.
| eISSN: | 2353-9003 |
| ISSN: | 1734-4492 |
Task: edition of a scientific journal, its internationalization and ensuring open access to the journal via the Internet
© 2006-2026 Journal hosting platform by Bentus
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
