ADM solution for Cu/CuO –water viscoplastic nanofluid transient slip flow from a porous stretching sheet with entropy generation, convective wall temperature and radiative effects

Thumma, T; Mishra, SR; Beg, OA

Abstract

A mathematical modelis presented for entropy generation in transient hydromagnetic flow of an electroconductive
magnetic Casson (non-Newtonian) nanofluid over a porous stretching sheet in a permeable medium. The
Cattaneo-Christov heat flux model is employed to simulate non-Fourier (thermal relaxation) effects. A Rosseland
flux model is implemented to model radiative heat transfer. The Darcy model is employed for the porous media
bulk drag effect. Momentum slip is also included to simulate non-adherence of the nanofluid at the wall. The
transformed, dimensionless governing equations and boundary conditions (featuring velocity slip and convective
temperature) characterizing the flow are solved with the Adomian Decomposition Method (ADM). Bejan’s
entropy minimization generation method is employed. Cu-water and CuO-water nanofluids are considered.
Extensive visualization of velocity, temperature and entropy generation number profiles is presented for variation
in magnetic field parameter, unsteadiness parameter, Casson parameter, nanofluid volume fraction, permeability
parameter, suction/injection parameter, radiative parameter, Biot number, relaxation time parameter, velocity slip
parameter, Brinkman number (dissipation parameter), temperature ratio and Prandtl number. The evolution of
skin friction and local Nusselt number (wall heat transfer rate) are also studied. The ADM computations are
validated with simpler models from the literature. The solutions show that with elevation in volume fraction of
nanoparticle and Brinkman number, the entropy generation magnitudes are increased. An increase in Darcy
number also increases the skin friction and local Nusselt number. Increasing magnetic field, volume fraction,
unsteadiness, thermal radiation, velocity slip, Casson parameters, Darcy and Biot numbers are all observed to
boost temperatures. However, temperatures are reduced with increasing non-Fourier (thermal relaxation)
parameter. Greater flow acceleration is achieved for CuO-water nanofluid compared with Cu-water nanofluid
although the contrary response is computed in temperature distributions. The simulations are relevant to the high
temperature manufacturing fluid dynamics of magnetic nanoliquids, smart coating systems etc.

Citation

Thumma, T., Mishra, S., & Beg, O. (2021). ADM solution for Cu/CuO –water viscoplastic nanofluid transient slip flow from a porous stretching sheet with entropy generation, convective wall temperature and radiative effects. Journal of applied and computational mechanics, 7(3), 1291-1305. https://doi.org/10.22055/JACM.2020.33137.2167

• Journal Article Type: Article
• Acceptance Date: Jun 15, 2020
• Online Publication Date: Feb 28, 2021
• Publication Date: Feb 28, 2021
• Deposit Date: Jun 19, 2020
• Publicly Available Date: Mar 1, 2021
• Journal: Journal of Applied and Computational Mechanics
• Volume: 7
• Issue: 3
• Pages: 1291-1305
• DOI: https://doi.org/10.22055/JACM.2020.33137.2167
• Publisher URL: https://doi.org/10.22055/JACM.2020.33137.2167
• Related Public URLs: http://jacm.scu.ac.ir/