Dynamic Rotation of Maxwellian Fluid with Fluctuating Thermal Conductivity

Authors

Yasir Iqbal, Department of Mathematics, University of Wah, Wah Cantt 47040, PakistanFollow
Iqra Batool, Department of Mathematics, University of Wah, Wah Cantt 47040, PakistanFollow
Zia Ur Rehman, Department of Mathematical Sciences, University of Engineering and Technology, Taxila, PakistanFollow

Corresponding Author

Zia Ur Rehman

Document Type

Research Article

Subject Areas

Mathematical Biology and Dynamical Systems

Keywords

Dynamic Rotation, Maxwellian Fluid

Abstract

This investigation examined the behavior of an overhead-connected Maxwell (UCM) fluid within a rotating framework, with consideration for variations in thermal conductivity based on temperature. The heat deportation process was simulated by incorporating a non-Fourier heat flux term, accounting for thermal relaxation effects. The governing set of partial differential equations underwent decomposition through boundary layer approximations, followed by employing similarity transformations to convert them into self-similar forms. To investigate the effect of the rotation criterion ($\lambda$), Prandtl number (Pr), Deborah number ($\beta$), parameter ($\epsilon$), and dimensionless thermal relaxation time ($\gamma$), an advanced three-stage Lobatto IIIa numerical method was applied. The applications of rotating maxwell fluid are in Biological Fluid Dynamics, Polymer Processing, Oil Drilling, Pharmaceuticals and Cosmetics, Food Processing and Chemical Engineering etc. We explore the flow and heat transfer of upper-convected Maxwell (UCM) fluid in rotating frame.

How to Cite This Article

Iqbal, Yasir; Batool, Iqra; and Ur Rehman, Zia (2023) "Dynamic Rotation of Maxwellian Fluid with Fluctuating Thermal Conductivity," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 2: Iss. 1, Article 13.
DOI: https://doi.org/10.59790/2790-3257.1043

Receive Date

10-27-2023

Accept Date

11-13-2023

Publication Date

11-20-2023