Computation of Von Karman thermo-solutal swirling flow of a nanofluid over a rotating disk to a non-Darcian porous medium with hydrodynamic/thermal slip

Umavathi, JC; Beg, OA

Abstract

Motivated by recent trends in spin coating operations in chemical engineering which are
exploiting nanomaterials, the present article investigates theoretically and numerically the steady
mass and heat transfer in Von Karman swirling slip flow of a nanofluid from a rotating disk
touching to a homogenous non-Darcy porous medium. The porous medium is simulated with a
Darcy-Forchheimer-Brinkman model. To track the thermophoresis and Brownian movement of
the nanoparticles the Buongiorno nanoscale model is used. Von Karman similarity variables are
deployed to transform the partial differential conservation equations into a system of highly
coupled, nonlinear, dimensionless ordinary differential equations (ODE's). These similarity
boundary layer equations i. e. continuity, momentum, energy and nanoparticle concentration
(volume fraction) are solved with bvp4c shooting quadrature in MATLAB. Validation with
earlier studies is included. Further verification with an Adams-Moulton predictor-corrector
method is conducted. The influence of velocity (momentum) slip coefficient, thermal slip,
Darcian bulk drag parameter (inverse permeability), Forchheimer inertial parameter,
Browninan motion parameterm Schmidt number, thermophoresis parameter and Prandtl number
on radial, tangential (azimuthal) and axial velocity components, temperature and nanoparticle
concentration are visualized graphically. The distributions for skin friction component and
Nusselt number are also computed. Radial, axial and tangential velocities are reduced with
increasing Forchheimer inertial drag and hydrodynamic wall slip whereas they are elevated with
increasing permeability (decreasing inverse Darcy parameter). Thermal and nanoparticle
concentration boundary layers are also markedly modified with an increment in Forchheimer inertial parameter, Schmidt number, Prandtl number, thermophoresis and Brownian motion
parameters.

Citation

Umavathi, J., & Beg, O. (2021). Computation of Von Karman thermo-solutal swirling flow of a nanofluid over a rotating disk to a non-Darcian porous medium with hydrodynamic/thermal slip. Journal of Thermal Analysis and Calorimetry, https://doi.org/10.1007/s10973-021-11126-1

• Journal Article Type: Article
• Acceptance Date: Oct 29, 2021
• Online Publication Date: Nov 21, 2021
• Publication Date: Nov 21, 2021
• Deposit Date: Nov 10, 2021
• Publicly Available Date: Nov 21, 2022
• Journal: Journal of Thermal Analysis and Calorimetry
• Print ISSN: 1388-6150
• Electronic ISSN: 1572-8943
• Publisher: Springer Verlag
• DOI: https://doi.org/10.1007/s10973-021-11126-1
• Publisher URL: https://doi.org/10.1007/s10973-021-11126-1
• Related Public URLs: https://www.springer.com/journal/10973
• Additional Information: Access Information : This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10973-021-11126-1