Abstract
This study presents a thermo-entropic analysis of unsteady MHD nanofluid Couette flow, combining a classical bivariate spectral quasilinearisation (BI-SQLM) and Crank--Nicolson solution with an exploratory application of quantum linear solvers. An incompressible, electrically conducting nanofluid flows between parallel plates under partial slip and convective heat exchange; the discretised linear systems are additionally solved via the Harrow--Hassidim--Lloyd (HHL) algorithm and the Variational Quantum Linear Solver (VQLS). Results are presented for Pure Water, Cu-Water, and Al$_2$O$_3$-Water across seven parameter variations. The Hartmann number dominates velocity suppression and entropy amplification, while velocity slip reduces upper-wall entropy generation more than nine-fold. VQLS achieves $0.007\%$ solution error at a transpiled circuit depth of only 5 gates, versus HHL's 43{,}127, confirming near-term hardware feasibility. This is the first thermo-entropic analysis of unsteady MHD nanofluid Couette flow to combine validated classical spectral/finite-difference solvers with an exploratory quantum linear-solver demonstration, establishing a foundation for future full quantum treatment.
Recommended Citation
Mosala, Serai Israel; Makinde, Oluwole Daniel; and Muronga, Azwinndini
(2026)
"Thermo-entropic analysis of unsteady MHD nanofluid Couette flow: A classical spectral approach with an exploratory quantum linear-solver application,"
Mathematical Modelling and Numerical Simulation with Applications: Vol. 6:
Iss.
3, Article 1.
DOI: https://doi.org/10.53391/2791-8564.1033
Available at:
https://mmnsa.researchcommons.org/journal/vol6/iss3/1
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