June 1, 2024Diagnostics Resource and Mechanics of materials and structuresOpen Access

Exact solutions to the NAVIER–STOKES equations for unidirectional flows of micropolar fluids in a mass force field

View Full Paper

Ask AI

Bookmark

Exact solutions are established for the Navier-Stokes equations describing unsteady unidirectional flows of micropolar fluids while accounting for couple stresses.
Velocity profiles decompose into a polynomial basis whose coefficients yield a sequential chain of solvable parabolic partial differential equations over space and time.
Theoretical derivation starts from a Couette-type solution to expand exact mathematical descriptions of unsteady hydrodynamic flows under mass force fields.

Discussion

No takes yet. Share an insight, caveat, or question.

Implication

Theoretical analysis reveals exact solutions for unidirectional micropolar fluid flows under couple stresses, extending analytical models for unsteady hydrodynamic systems.

Cite This Study

Burmasheva et al. (2024) studied this question.

synapsesocial.com/papers/68e66c6fb6db6435875f7dc2 https://doi.org/10.17804/2410-9908.2024.3.041-063

View Full Paper

Ask AI

Bookmark

Implication

Theoretical analysis reveals exact solutions for unidirectional micropolar fluid flows under couple stresses, extending analytical models for unsteady hydrodynamic systems.

Exact solutions to the NAVIER–STOKES equations for unidirectional flows of micropolar fluids in a mass force field

Key Points

Discussion

Implication

Cite This Study

Exact solutions to the NAVIER–STOKES equations for unidirectional flows of micropolar fluids in a mass force field

Key Points

Discussion

Implication

Cite This Study

Also Consider

Also Consider