Heat transfer and hydromagnetic electroosmotic Von Kármán swirling flow from a rotating porous disc to a permeable medium with viscous heating and Joule dissipation

Beg, A; Balaji, R.; Prakash, J.; Tripathi, Dharmendra

Abstract

Magnetohydrodynamic (MHD) flow and heat transfer in an ionic viscous fluid in a porous medium
induced by a stretching spinning disc and modulated by electroosmosis under an axial magnetic
field and radial electrical field, is presented in this study. The effects of convective wall boundary
conditions, Joule heating and viscous dissipation are incorporated. The governing partial
differential conservation equations are transformed into a system of self-similar coupled, nonlinear
ordinary differential equations with associated boundary conditions. The Matlab bvp4c solver
featuring a shooting technique and the fourth order Runge–Kutta–Fehlberg method are used to
numerically solve the governing dimensionless boundary value problem. Multivariate analysis is
also performed to examine the thermal characteristics. An increase in rotation parameter induces
a reduction in the radial velocity whereas it elevates the tangential velocity. Greater electrical field
parameter strongly damps the radial velocity whereas it slightly decreases the tangential velocity.
Increasing magnetic parameter also damps both the radial and tangential velocities. An increment
in electro-osmotic parameter substantially decelerates the radial flow but has a weak effect on
tangential velocity field. Increasing permeability parameter (inversely proportional to
permeability) markedly damps both radial and tangential velocities. Pressure gradient is initially
enhanced near the disk surface but reduced further from the disk surface with increasing magnetic
parameter and electrical field parameter, whereas the opposite effect is produced with increasing
Joule dissipation. Increasing magnetic and rotational parameters generate a strong heating effect
and boost temperature and thermal boundary layer thickness. Nusselt number is boosted with
increasing Brinkman number (viscous heating effect) and Reynolds number. The simulations are
relevant to electromagnetic coating flows, bioreactors and electrochemical sensing technologies in
medicine.

Citation

Beg, A., Balaji, R., Prakash, J., Anwar Bég, O., & Tripathi, D. (in press). Heat transfer and hydromagnetic electroosmotic Von Kármán swirling flow from a rotating porous disc to a permeable medium with viscous heating and Joule dissipation. Heat Transfer, 52(5), 3489-3515. https://doi.org/10.1002/htj.22837

• Journal Article Type: Article
• Acceptance Date: Feb 14, 2023
• Online Publication Date: Mar 2, 2023
• Deposit Date: Mar 8, 2023
• Journal: Heat Transfer
• Print ISSN: 2688-4534
• Electronic ISSN: 2688-4542
• Publisher: Wiley
• Volume: 52
• Issue: 5
• Pages: 3489-3515
• DOI: https://doi.org/10.1002/htj.22837
• Keywords: Fluid Flow and Transfer Processes, Condensed Matter Physics
• Publisher URL: https://onlinelibrary.wiley.com/journal/26884542