Numerical study of heat transfer and viscous flow in a dual rotating extendable disk system with a non-Fourier heat flux model

Shamshuddin, M; Mishra, SR; Beg, OA; Kadir, A

Abstract

Nonlinear, steady-state, viscous flow and heat transfer between two stretchable rotating disks spinning at dissimilar velocities is studied with a non-Fourier heat flux model. A non-deformable porous medium is intercalated between the disks and the Darcy model is employed to simulate matrix impedance. The conservation equations are formulated in a cylindrical coordinate system and via the Von Karman transformations are rendered into a system of coupled, nonlinear ordinary differential equations. The emerging boundary value problem is controlled by number of dimensionless dimensionless parameters i.e. Prandtl number, upper disk stretching, lower disk stretching, permeability, non-Fourier thermal relaxation and relative rotation rate parameters. A perturbation solution is developed and the impact of selected parameters on radial and tangential velocity components, temperature, pressure, lower disk radial and tangential skin friction components and surface heat transfer rate are visualized graphically. Validation of solutions with the homotopy analysis method is included. Extensive interpretation of the results is presented which are relevant to to rotating disk bioreactors in chemical engineering.

Citation

Shamshuddin, M., Mishra, S., Beg, O., & Kadir, A. (2018). Numerical study of heat transfer and viscous flow in a dual rotating extendable disk system with a non-Fourier heat flux model. Heat Transfer - Asian Research, 48(1), 435-459. https://doi.org/10.1002/htj.21392

• Journal Article Type: Article
• Acceptance Date: Sep 27, 2018
• Online Publication Date: Oct 31, 2018
• Publication Date: Oct 31, 2018
• Deposit Date: Oct 1, 2018
• Publicly Available Date: Oct 31, 2019
• Journal: Heat Transfer- Asian Research
• Print ISSN: 1099-2871
• Electronic ISSN: 1523-1496
• Publisher: Wiley
• Volume: 48
• Issue: 1
• Pages: 435-459
• DOI: https://doi.org/10.1002/htj.21392
• Publisher URL: https://doi.org/10.1002/htj.21392
• Related Public URLs: https://onlinelibrary.wiley.com/journal/15231496