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.

Downloads

Download data is not yet available.

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

References

Asogwa, K. K., and A. A. Ibe. "A study of MHD Casson fluid flow over a permeable stretching sheet with heat and mass transfer." Journal of Engineering Research and Reports 16, no. 2 (2020): 10-25. https://doi.org/10.9734/jerr/2020/v16i217161

Abdullahi, Faruk, Ibrahim Haliru Wala, and Muhammad Abdurrahman Sani. "Casson Fluid Flow Effects on MHD Unsteady Heat And Mass Transfer Free Convective Past An Infinite Vertical Plate." International Journal of Scientific and Research Publications 10, no. 11 (2020): 104-118. https://doi.org/10.29322/IJSRP.10.11.2020.p10712

Mondal, Razon K., Partha P. Gharami, Sarder F. Ahmmed, and S. M. Arifuzzaman. "A simulation of Casson fluid flow with variable viscosity and thermal conductivity effects." Mathematical Modelling of Engineering Problems 6, no. 4 (2019): 625-633. https://doi.org/10.18280/mmep.060418

Aghighi, Mohammad Saied, Amine Ammar, Christel Metivier, and M. Gharagozlu. "Rayleigh-Bénard convection of Casson fluids." International Journal of Thermal Sciences 127 (2018): 79-90. https://doi.org/10.1016/j.ijthermalsci.2018.01.016

Parandhamaa, A., K. V. S. Rajua, and M. Changal Rajub. "MHD Casson fluid flow through a vertical plate." Journal of Computational & Applied Research in Mechanical Engineering (JCARME) 9, no. 2 (2020): 343-350.

Ramanuja, M., and V. Nagaradhika. "MHD Analysis of Casson Fluid Through a Vertical Porous Surface with Chemical Reaction." Global Scientific Journals 8, no. 4 (2020): 469-482.

Kumar, Gaurav, and S. M. K. Rizvi. "Casson fluid flow past on vertical cylinder in the presence of chemical reaction and magnetic field." Applications and Applied Mathematics: An International Journal (AAM) 16, no. 1 (2021): 524-537.

Ali, M. E., and N. Sandeep. "Cattaneo-Christov model for radiative heat transfer of magnetohydrodynamic Casson-ferrofluid: A numerical study." Results in Physics 7 (2017): 21-30. https://doi.org/10.1016/j.rinp.2016.11.055

Yusof, Nur Syamila, Siti Khuzaimah Soid, Mohd Rijal Illias, Ahmad Sukri Abd Aziz, and Nor Ain Azeany Mohd Nasir. "Radiative Boundary Layer Flow of Casson Fluid Over an Exponentially Permeable Slippery Riga Plate with Viscous Dissipation." Journal of Advanced Research in Applied Sciences and Engineering Technology 21, no. 1 (2020): 41-51. https://doi.org/10.37934/araset.21.1.4151

Aman, Sidra, Syazwani Mohd Zokri, Zulkhibri Ismail, Mohd Zuki Salleh, and Ilyas Khan. "Effect of MHD and porosity on exact solutions and flow of a hybrid Casson-nanofluid." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 44, no. 1 (2018): 131-139.

Omar, Nur Fatihah Mod, Husna Izzati Osman, Ahmad Qushairi Mohamad, Rahimah Jusoh, and Zulkhibri Ismail. "Effects of radiation and magnetohydrodynamic on unsteady Casson fluid over accelerated plate." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 85, no. 1 (2021): 93-100. https://doi.org/10.37934/arfmts.85.1.93100

Daud, Marjan Mohd, Lim Yeou Jiann, Sharidan Shafie, and Rahimah Mahat. "Casson Fluid Convective Flow in an Accelerated Microchannel with Thermal Radiation using the Caputo Fractional Derivative." CFD Letters 14, no. 8 (2022): 12-19. https://doi.org/10.37934/cfdl.14.8.1219

Guo, Bing, Ali Raza, Kamel Al-Khaled, Sami Ullah Khan, Saadia Farid, Ye Wang, M. Ijaz Khan, M. Y. Malik, and S. Saleem. "Fractional-order simulations for heat and mass transfer analysis confined by elliptic inclined plate with slip effects: A comparative fractional analysis." Case Studies in Thermal Engineering 28 (2021): 101359. https://doi.org/10.1016/j.csite.2021.101359

Ogunrinde, R. B., U. K. Nwajeri, S. E. Fadugba, R. R. Ogunrinde, and K. I. Oshinubi. "Dynamic model of COVID-19 and citizens reaction using fractional derivative." Alexandria Engineering Journal 60, no. 2 (2021): 2001-2012. https://doi.org/10.1016/j.aej.2020.09.016

Zhang, Qiao, Yuxin Sun, and Jialing Yang. "Bio-heat transfer analysis based on fractional derivative and memory-dependent derivative heat conduction models." Case Studies in Thermal Engineering 27 (2021): 101211. https://doi.org/10.1016/j.csite.2021.101211

Thakare, Shivcharan, and M. S. Warbhe. "Time fractional heat transfer analysis in thermally sensitive functionally graded thick hollow cylinder with internal heat source and its thermal stresses." In Journal of Physics: Conference Series, vol. 1913, no. 1, p. 012112. IOP Publishing, 2021. https://doi.org/10.1088/1742-6596/1913/1/012112

Xu, Guangying, and Jinbao Wang. "Analytical solution of time fractional Cattaneo heat equation for finite slab under pulse heat flux." Applied Mathematics and Mechanics 39, no. 10 (2018): 1465-1476. https://doi.org/10.1007/s10483-018-2375-8

Qi, Hai-Tao, Huan-Ying Xu, and Xin-Wei Guo. "The Cattaneo-type time fractional heat conduction equation for laser heating." Computers & Mathematics with Applications 66, no. 5 (2013): 824-831. https://doi.org/10.1016/j.camwa.2012.11.021

Han, Shihao, Liancun Zheng, Chunrui Li, and Xinxin Zhang. "Coupled flow and heat transfer in viscoelastic fluid with Cattaneo-Christov heat flux model." Applied Mathematics Letters 38 (2014): 87-93. https://doi.org/10.1016/j.aml.2014.07.013

Hema, M., and I. S. Shivakumara. "Impact of Cattaneo law of heat conduction on an anisotropic Darcy-Bénard convection with a local thermal nonequilibrium model." Thermal Science and Engineering Progress 19 (2020): 100620. https://doi.org/10.1016/j.tsep.2020.100620

Downloads

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

Issue

Section

Articles

Most read articles by the same author(s)