Generalized Cattaneo’s Law over a Vertical Cylinder on Casson Fluids

Authors

  • Husna Izzati Osman Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 263000 Gambang, Pahang, Malaysia
  • Dennis Ling Chuan Ching Department of Fundamental and Applied Sciences, Universiti Teknologi Petronas, Seri Iskandar, 32610 Tronoh, Perak, Malaysia
  • Nur Fatihah Mod Omar Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 263000 Gambang, Pahang, Malaysia
  • Dumitru Vieru Department of Theoritical Mechanics (MT), Georgia Asachi Technical University of lasi TU lasi, Romania
  • Zulkhibri Ismail Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 263000 Gambang, Pahang, Malaysia

DOI:

https://doi.org/10.37934/cfdl.14.12.3851

Keywords:

Cattaneo, Casson fluid, Laplace transform, fractional derivative, vertical cylinder

Abstract

The analysis of unsteady axial symmetric flows of an incompressible and electrically conducting Casson fluid over a vertical cylinder with time-variable temperature, under influence of an external transversely magnetic field has been carried out. The mathematical model is build based on the time-fractional differential equation of Cattaneo’s law with Caputo derivative to describe thermal transport. Based on the model, we can obtain the effect of temperature gradient history on heat transport and fluid motion. Besides, the generalized mathematical model that we build can be used to achieve the Classical Cattaneo’s law. Comparison between the generalized Cattaneo and the classical Cattaneo was examined to optimize the heat transport model.

Author Biographies

Husna Izzati Osman, Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 263000 Gambang, Pahang, Malaysia

husnaizzatii@yahoo.com

Dennis Ling Chuan Ching, Department of Fundamental and Applied Sciences, Universiti Teknologi Petronas, Seri Iskandar, 32610 Tronoh, Perak, Malaysia

dennis.ling@utp.edu.my

Nur Fatihah Mod Omar, Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 263000 Gambang, Pahang, Malaysia

fthh1811@gmail.com

Dumitru Vieru, Department of Theoritical Mechanics (MT), Georgia Asachi Technical University of lasi TU lasi, Romania

dumitru.vieru@tuiasi.ro

Zulkhibri Ismail, Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 263000 Gambang, Pahang, Malaysia

zulkhibri@ump.edu.my

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Published

2022-11-18

How to Cite

Husna Izzati Osman, Dennis Ling Chuan Ching, Nur Fatihah Mod Omar, Dumitru Vieru, & Zulkhibri Ismail. (2022). Generalized Cattaneo’s Law over a Vertical Cylinder on Casson Fluids. CFD Letters, 14(12), 38–51. https://doi.org/10.37934/cfdl.14.12.3851

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